sqrt B (should all be same)

Time bar (total: 20.9s)

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
100%100%0%0%0%0%0%2
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample1.2s (5.9%)

Memory
9.1MiB live, 789.6MiB allocated
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 213.0ms
ival-mult: 138.0ms (64.8% of total)
ival-sqrt: 62.0ms (29.1% of total)
ival-true: 6.0ms (2.8% of total)
exact: 5.0ms (2.3% of total)
ival-assert: 3.0ms (1.4% of total)
Bogosity

preprocess14.0ms (0.1%)

Memory
29.5MiB live, 29.5MiB allocated
Algorithm
egg-herbie
Rules
30×associate-*r*
28×distribute-rgt-neg-in
28×associate-*l*
24×distribute-lft-neg-in
24×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
12113
26213
314913
421413
523113
623313
056
196
2106
0106
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(sqrt (* (* 2 x) x))
Outputs
(sqrt (* (* 2 x) x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
Symmetry

(abs x)

explain60.0ms (0.3%)

Memory
0.8MiB live, 123.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1370-5(1.8397579362874557e-156)(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
00-0-#s(literal 2 binary64)
00-0-(*.f64 (*.f64 #s(literal 2 binary64) x) x)
00-0-(*.f64 #s(literal 2 binary64) x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))uflow-rescue670
(*.f64 (*.f64 #s(literal 2 binary64) x) x)underflow67
sqrt.f64(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))oflow-rescue650
(*.f64 (*.f64 #s(literal 2 binary64) x) x)overflow65
Confusion
Predicted +Predicted -
+1325
-0119
Precision
1.0
Recall
0.9635036496350365
Confusion?
Predicted +Predicted MaybePredicted -
+13205
-00119
Precision?
1.0
Recall?
0.9635036496350365
Freqs
test
numberfreq
0124
1132
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
28.0ms512×0valid
Compiler

Compiled 50 to 24 computations (52% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sqrt: 7.0ms (50.3% of total)
ival-mult: 6.0ms (43.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.7%
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify5.0ms (0%)

Memory
-33.2MiB live, 5.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0516
1916
21016
01016
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(sqrt (* (* 2 x) x))
(* (* 2 x) x)
(* 2 x)
2
x
Outputs
(sqrt (* (* 2 x) x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(* (* 2 x) x)
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
x

localize20.0ms (0.1%)

Memory
3.8MiB live, 45.1MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
accuracy100.0%
(*.f64 #s(literal 2 binary64) x)
accuracy51.7%
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
Samples
11.0ms256×0valid
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 (54.6% of total)
ival-sqrt: 2.0ms (36.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory
8.7MiB live, 8.7MiB allocated
Counts
3 → 36
Calls
Call 1
Inputs
#<alt (sqrt (* (* 2 x) x))>
#<alt (* (* 2 x) x)>
#<alt (* 2 x)>
Outputs
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
Calls

9 calls:

TimeVariablePointExpression
1.0ms
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
(* 2 x)

rewrite297.0ms (1.4%)

Memory
-3.5MiB live, 466.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 230×*-lowering-*.f32
5 230×*-lowering-*.f64
3 666×/-lowering-/.f32
3 666×/-lowering-/.f64
3 090×accelerator-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0514
11414
23513
38912
434812
5206512
0866912
Stop Event
iter limit
node limit
Counts
3 → 118
Calls
Call 1
Inputs
(sqrt (* (* 2 x) x))
(* (* 2 x) x)
(* 2 x)
Outputs
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.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 (*.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 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64))))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 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 (*.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 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 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 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) #s(literal 1/16 binary64)) #s(literal 8 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 2 binary64)) (*.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x))) #s(literal 1/4 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))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (*.f64 x x)) (log.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (/.f64 x (*.f64 #s(literal 2 binary64) x))) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x))) (log.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x))) (log.f64 (/.f64 x (*.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (*.f64 #s(literal 2 binary64) x)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x))) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) x)))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) x))))
(pow.f64 (*.f64 (exp.f64 #s(literal 1/4 binary64)) (exp.f64 #s(literal 1/4 binary64))) (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x))))
(pow.f64 (*.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))))) #s(literal 1/8 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) x) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 4 binary64) x)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (*.f64 x (*.f64 #s(literal 2 binary64) x))) #s(literal 1/8 binary64))
(pow.f64 (*.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64))) (/.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))))) #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) x))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 2 binary64) x))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) #s(literal 3/8 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))))) #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) x))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (pow.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 2 binary64) x))) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (pow.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))))) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) #s(literal 1/16 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) #s(literal 7/16 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(*.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 2 binary64) x))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) #s(literal 3/8 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) #s(literal 1/8 binary64)))
(*.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 (exp.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 2 binary64) x))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) #s(literal 3/8 binary64)) (sqrt.f64 (sqrt.f64 x))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) x) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) #s(literal 7/16 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) #s(literal 1/16 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 (*.f64 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 (*.f64 #s(literal 2 binary64) x) (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 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(exp.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))
(/.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))) (exp.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))))
(/.f64 (exp.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64))))) (exp.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64))))))
(/.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 x (*.f64 #s(literal 2 binary64) x))))) (exp.f64 (/.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 (exp.f64 (/.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)))) (exp.f64 (/.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 binary64))
(pow.f64 (exp.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (*.f64 x x)) (log.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (/.f64 x (*.f64 #s(literal 2 binary64) x))) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
(pow.f64 (exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x))) (log.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x))) (log.f64 (/.f64 x (*.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (*.f64 #s(literal 2 binary64) x)))))
(pow.f64 (exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x))) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) x)))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) x))))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 x (*.f64 #s(literal 2 binary64) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) x)))
(*.f64 (sqrt.f64 x) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) x)))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x)))
(*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) (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)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))

simplify9.0ms (0%)

Memory
35.0MiB live, 35.0MiB allocated
Algorithm
egg-herbie
Rules
38×*-lowering-*.f32
38×*-lowering-*.f64
38×accelerator-lowering-fma.f32
38×accelerator-lowering-fma.f64
36×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09148
117148
232148
336148
440148
552148
664148
775148
895148
9100148
0100148
Stop Event
iter limit
saturated
Counts
36 → 36
Calls
Call 1
Inputs
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
Outputs
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))
(* -1 (* x (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))
(* -1 (* x (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))
(* -1 (* x (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))

eval23.0ms (0.1%)

Memory
-22.8MiB live, 49.8MiB allocated
Compiler

Compiled 2 080 to 350 computations (83.2% saved)

prune18.0ms (0.1%)

Memory
17.7MiB live, 56.7MiB allocated
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1486154
Fresh000
Picked011
Done000
Total1487155
Accuracy
100.0%
Counts
155 → 7
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)))))
63.9%
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
64.0%
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) 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)
51.7%
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
Compiler

Compiled 137 to 93 computations (32.1% saved)

simplify6.0ms (0%)

Memory
13.9MiB live, 13.9MiB allocated
Algorithm
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
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))
cost-diff0
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
Rules
70×*-lowering-*.f32
70×*-lowering-*.f64
28×*-commutative
16×sqrt-lowering-sqrt.f64
16×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022130
136130
252130
358130
458130
058130
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (sqrt (* 2 x)) (sqrt x))
(sqrt (* 2 x))
(* 2 x)
2
x
(sqrt x)
(* (sqrt 2) x)
(sqrt 2)
2
x
(* (sqrt (* (* 2 x) (sqrt x))) (sqrt (sqrt x)))
(sqrt (* (* 2 x) (sqrt x)))
(* (* 2 x) (sqrt x))
(* 2 x)
2
x
(sqrt x)
(sqrt (sqrt x))
(* (sqrt (* (* 2 x) (sqrt (sqrt x)))) (sqrt (sqrt (* x (sqrt x)))))
(sqrt (* (* 2 x) (sqrt (sqrt x))))
(* (* 2 x) (sqrt (sqrt x)))
(* 2 x)
2
x
(sqrt (sqrt x))
(sqrt x)
(sqrt (sqrt (* x (sqrt x))))
(sqrt (* x (sqrt x)))
(* x (sqrt x))
(* (pow 2 1/4) (* x (pow 2 1/4)))
(pow 2 1/4)
2
1/4
(* x (pow 2 1/4))
x
Outputs
(* (sqrt (* 2 x)) (sqrt x))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(sqrt (* 2 x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
x
(sqrt x)
(sqrt.f64 x)
(* (sqrt 2) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
x
(* (sqrt (* (* 2 x) (sqrt x))) (sqrt (sqrt x)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(sqrt (* (* 2 x) (sqrt x)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))))
(* (* 2 x) (sqrt x))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
x
(sqrt x)
(sqrt.f64 x)
(sqrt (sqrt x))
(sqrt.f64 (sqrt.f64 x))
(* (sqrt (* (* 2 x) (sqrt (sqrt x)))) (sqrt (sqrt (* x (sqrt x)))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(sqrt (* (* 2 x) (sqrt (sqrt x))))
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x))))
(* (* 2 x) (sqrt (sqrt x)))
(*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
x
(sqrt (sqrt x))
(sqrt.f64 (sqrt.f64 x))
(sqrt x)
(sqrt.f64 x)
(sqrt (sqrt (* x (sqrt x))))
(sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(sqrt (* x (sqrt x)))
(sqrt.f64 (*.f64 x (sqrt.f64 x)))
(* x (sqrt x))
(*.f64 x (sqrt.f64 x))
(* (pow 2 1/4) (* x (pow 2 1/4)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow 2 1/4)
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
2
#s(literal 2 binary64)
1/4
#s(literal 1/4 binary64)
(* x (pow 2 1/4))
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
x

localize92.0ms (0.4%)

Memory
-16.9MiB live, 199.1MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
accuracy99.6%
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
accuracy99.5%
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
accuracy99.7%
(*.f64 x (sqrt.f64 x))
accuracy99.5%
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
accuracy78.4%
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x))))
accuracy63.3%
(sqrt.f64 (*.f64 x (sqrt.f64 x)))
accuracy99.8%
(sqrt.f64 (sqrt.f64 x))
accuracy99.7%
(*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))
accuracy99.5%
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
accuracy63.2%
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))
accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
accuracy99.4%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
accuracy100.0%
(*.f64 #s(literal 2 binary64) x)
accuracy100.0%
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
accuracy100.0%
(sqrt.f64 x)
accuracy99.5%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
Samples
53.0ms256×0valid
Compiler

Compiled 137 to 24 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 14.0ms (43.2% of total)
ival-sqrt: 14.0ms (43.2% of total)
ival-pow: 3.0ms (9.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series185.0ms (0.9%)

Memory
10.6MiB live, 389.1MiB allocated
Counts
18 → 192
Calls
Call 1
Inputs
#<alt (* (sqrt (* 2 x)) (sqrt x))>
#<alt (sqrt (* 2 x))>
#<alt (* 2 x)>
#<alt (sqrt x)>
#<alt (* (sqrt 2) x)>
#<alt (sqrt 2)>
#<alt (* (sqrt (* (* 2 x) (sqrt x))) (sqrt (sqrt x)))>
#<alt (sqrt (* (* 2 x) (sqrt x)))>
#<alt (* (* 2 x) (sqrt x))>
#<alt (* (sqrt (* (* 2 x) (sqrt (sqrt x)))) (sqrt (sqrt (* x (sqrt x)))))>
#<alt (sqrt (* (* 2 x) (sqrt (sqrt x))))>
#<alt (* (* 2 x) (sqrt (sqrt x)))>
#<alt (* (pow 2 1/4) (* x (pow 2 1/4)))>
#<alt (pow 2 1/4)>
#<alt (* x (pow 2 1/4))>
#<alt (sqrt (sqrt x))>
#<alt (sqrt (* x (sqrt x)))>
#<alt (* x (sqrt x))>
Outputs
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))>
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))>
#<alt (* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))>
#<alt (* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))>
#<alt (* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))>
#<alt (* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* (pow 2 1/4) x)>
#<alt (* (pow 2 1/4) x)>
#<alt (* (pow 2 1/4) x)>
#<alt (* (pow 2 1/4) x)>
#<alt (* (pow 2 1/4) x)>
#<alt (* (pow 2 1/4) x)>
#<alt (* (pow 2 1/4) x)>
#<alt (* (pow 2 1/4) x)>
#<alt (* (pow 2 1/4) x)>
#<alt (* (pow 2 1/4) x)>
#<alt (* (pow 2 1/4) x)>
#<alt (* (pow 2 1/4) x)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))>
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))>
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))>
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
Calls

48 calls:

TimeVariablePointExpression
33.0ms
x
@0
(* (sqrt (* (* 2 x) (sqrt (sqrt x)))) (sqrt (sqrt (* x (sqrt x)))))
32.0ms
x
@0
(* x (pow 2 1/4))
29.0ms
x
@0
(sqrt (* (* 2 x) (sqrt x)))
21.0ms
x
@-inf
(sqrt (* (* 2 x) (sqrt (sqrt x))))
12.0ms
x
@-inf
(* (sqrt (* (* 2 x) (sqrt (sqrt x)))) (sqrt (sqrt (* x (sqrt x)))))

rewrite367.0ms (1.8%)

Memory
-10.0MiB live, 592.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 098×*-lowering-*.f32
6 098×*-lowering-*.f64
5 528×accelerator-lowering-fma.f32
5 528×accelerator-lowering-fma.f64
1 852×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02289
16385
218870
375870
4377970
01020070
Stop Event
iter limit
node limit
Counts
18 → 720
Calls
Call 1
Inputs
(* (sqrt (* 2 x)) (sqrt x))
(sqrt (* 2 x))
(* 2 x)
(sqrt x)
(* (sqrt 2) x)
(sqrt 2)
(* (sqrt (* (* 2 x) (sqrt x))) (sqrt (sqrt x)))
(sqrt (* (* 2 x) (sqrt x)))
(* (* 2 x) (sqrt x))
(* (sqrt (* (* 2 x) (sqrt (sqrt x)))) (sqrt (sqrt (* x (sqrt x)))))
(sqrt (* (* 2 x) (sqrt (sqrt x))))
(* (* 2 x) (sqrt (sqrt x)))
(* (pow 2 1/4) (* x (pow 2 1/4)))
(pow 2 1/4)
(* x (pow 2 1/4))
(sqrt (sqrt x))
(sqrt (* x (sqrt x)))
(* x (sqrt x))
Outputs
(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 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x 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 #s(literal 4 binary64) (*.f64 x x))) x)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 4 binary64) (*.f64 x x))))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x (sqrt.f64 x)))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 4 binary64) (*.f64 x 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 1/8 binary64) (log.f64 x) (*.f64 #s(literal 1/8 binary64) (log.f64 (*.f64 x (*.f64 #s(literal 4 binary64) (*.f64 x x)))))) #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 1/8 binary64) (log.f64 (*.f64 x (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (*.f64 #s(literal 1/8 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 (sqrt.f64 x) (*.f64 #s(literal 4 binary64) (*.f64 x x)))))) #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 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 4 binary64) (*.f64 x 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 x) (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #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 #s(literal 4 binary64) (*.f64 x x))) x) #s(literal 1/4 binary64))
(pow.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x (sqrt.f64 x))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 4 binary64) (*.f64 x 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 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 x))) #s(literal 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 #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 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 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))))
(*.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)))))))
(*.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 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (sqrt.f64 x))))) #s(literal 1/4 binary64)))
(*.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 #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 (pow.f64 (*.f64 x (*.f64 #s(literal 4 binary64) (*.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 (*.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 (*.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)))
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(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/8 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 x) #s(literal 5/4 binary64)))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 3/16 binary64) (log.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 x (*.f64 x (sqrt.f64 x))))) #s(literal 1/4 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 x)) #s(literal 6 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/16 binary64) (log.f64 x)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/8 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (*.f64 (log.f64 x) #s(literal 3/2 binary64))))
(fabs.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(fabs.f64 (neg.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(fabs.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (sqrt.f64 x)))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)))
(fabs.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (neg.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))))
(fabs.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (neg.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(sqrt.f64 (*.f64 x (sqrt.f64 x)))
(pow.f64 x #s(literal 3/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 6 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/8 binary64))
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 3 binary64) (log.f64 x)))
(pow.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 3/16 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/2 binary64)))
(pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 3/2 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (log.f64 x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 3/8 binary64)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 3/4 binary64)))
(pow.f64 (exp.f64 #s(literal 3/4 binary64)) (log.f64 x))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 3/8 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) (pow.f64 (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 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 3/8 binary64))))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))) #s(literal 3/8 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))
(*.f64 (pow.f64 (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 (neg.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (neg.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 (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 x (sqrt.f64 (sqrt.f64 x))) #s(literal 3/8 binary64))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))
(*.f64 (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 (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 3/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3/8 binary64)) #s(literal 4 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)))
(fabs.f64 (*.f64 x (sqrt.f64 x)))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(pow.f64 x #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 6 binary64))
(pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 4 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 12 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 8 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))
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 3/8 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 3 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 3/2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) #s(literal 1 binary64)) (log.f64 x))
(*.f64 x (sqrt.f64 x))
(*.f64 (sqrt.f64 x) x)
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 x (sqrt.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 3 binary64)))
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 3/4 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) #s(literal 3 binary64)))
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))) #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(*.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/4 binary64))) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x))))
(*.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/4 binary64))))
(*.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 7/8 binary64) (log.f64 x))))
(*.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 #s(literal 5/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/8 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 3 binary64)) (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 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) #s(literal 3 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 x (*.f64 x (sqrt.f64 x))))) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))

simplify784.0ms (3.8%)

Memory
-16.2MiB live, 275.8MiB allocated
Algorithm
egg-herbie
Rules
3 440×*-lowering-*.f32
3 440×*-lowering-*.f64
3 332×accelerator-lowering-fma.f32
3 332×accelerator-lowering-fma.f64
3 188×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0631088
11341088
23181084
35301084
49041084
514501084
619541084
720781084
822441084
924741084
1026081084
1131061084
1234161084
1335111084
1435751084
1536301084
1636601084
1736681084
1836681084
1936681084
2037841084
2138321084
2238321084
2342481084
2459981084
2566731084
2668801084
2769141084
2869261084
2971041084
3072721084
3173561084
3273681084
3373681084
3473681084
081871084
Stop Event
iter limit
node limit
Counts
192 → 192
Calls
Call 1
Inputs
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* 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)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(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)))))
(* (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 x) (neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (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))
(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 (* (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 (*.f64 x (*.f64 x (neg.f64 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 (*.f64 x (*.f64 x (neg.f64 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 (*.f64 x (*.f64 x (neg.f64 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 (*.f64 x (*.f64 x (neg.f64 x))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* 2 (sqrt (pow x 3)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))
(* 2 (sqrt (pow x 3)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))
(* 2 (sqrt (pow x 3)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))
(* 2 (sqrt (pow x 3)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))
(* 2 (sqrt (pow x 3)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))
(* 2 (sqrt (pow x 3)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))
(* 2 (sqrt (pow x 3)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))
(* 2 (sqrt (pow x 3)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(*.f64 #s(literal 2 binary64) (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))))
(*.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 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (neg.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 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (neg.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 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (neg.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 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 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 #s(literal -2 binary64) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.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 #s(literal -2 binary64) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.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 #s(literal -2 binary64) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.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 #s(literal -2 binary64) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 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)
(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)))
(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)))

eval218.0ms (1%)

Memory
14.9MiB live, 277.8MiB allocated
Compiler

Compiled 18 487 to 1 968 computations (89.4% saved)

prune233.0ms (1.1%)

Memory
15.6MiB live, 171.1MiB allocated
Pruning

11 alts after pruning (5 fresh and 6 done)

PrunedKeptTotal
New1 21551 220
Fresh101
Picked055
Done011
Total1 216111 227
Accuracy
100.0%
Counts
1 227 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x)
99.3%
(*.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))))
99.1%
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (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)))
63.9%
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
64.0%
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
98.5%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 4 binary64)))
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)
51.7%
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
Compiler

Compiled 176 to 120 computations (31.8% saved)

simplify6.0ms (0%)

Memory
11.3MiB live, 11.3MiB allocated
Algorithm
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
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 4 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)) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 4 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)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
cost-diff2240
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
cost-diff0
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
cost-diff0
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x))
cost-diff0
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
Rules
76×*-lowering-*.f32
76×*-lowering-*.f64
34×*-commutative
20×associate-*r*
16×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
022142
135138
256135
369135
069135
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (* (sqrt (* 2 (sqrt x))) (sqrt x)) (sqrt (sqrt x)))
(* (sqrt (* 2 (sqrt x))) (sqrt x))
(sqrt (* 2 (sqrt x)))
(* 2 (sqrt x))
2
(sqrt x)
x
(sqrt (sqrt x))
(* (sqrt (* 2 x)) (* (sqrt (sqrt x)) (sqrt (sqrt x))))
(sqrt (* 2 x))
(* 2 x)
2
x
(* (sqrt (sqrt x)) (sqrt (sqrt x)))
(sqrt (sqrt x))
(sqrt x)
(* (* (sqrt (* 2 x)) (sqrt (sqrt x))) (sqrt (sqrt x)))
(* (sqrt (* 2 x)) (sqrt (sqrt x)))
(sqrt (* 2 x))
(* 2 x)
2
x
(sqrt (sqrt x))
(sqrt x)
(* (sqrt (* 2 x)) (pow (sqrt (sqrt (sqrt x))) 4))
(sqrt (* 2 x))
(* 2 x)
2
x
(pow (sqrt (sqrt (sqrt x))) 4)
(sqrt (sqrt (sqrt x)))
(sqrt (sqrt x))
(sqrt x)
4
(* (pow (pow 2 1/4) 2) x)
(pow (pow 2 1/4) 2)
(pow 2 1/4)
2
1/4
x
Outputs
(* (* (sqrt (* 2 (sqrt x))) (sqrt x)) (sqrt (sqrt x)))
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(* (sqrt (* 2 (sqrt x))) (sqrt x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(sqrt (* 2 (sqrt x)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(* 2 (sqrt x))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
2
#s(literal 2 binary64)
(sqrt x)
(sqrt.f64 x)
x
(sqrt (sqrt x))
(sqrt.f64 (sqrt.f64 x))
(* (sqrt (* 2 x)) (* (sqrt (sqrt x)) (sqrt (sqrt x))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
(sqrt (* 2 x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
x
(* (sqrt (sqrt x)) (sqrt (sqrt x)))
(sqrt.f64 x)
(sqrt (sqrt x))
(sqrt.f64 (sqrt.f64 x))
(sqrt x)
(sqrt.f64 x)
(* (* (sqrt (* 2 x)) (sqrt (sqrt x))) (sqrt (sqrt x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
(* (sqrt (* 2 x)) (sqrt (sqrt x)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
(sqrt (* 2 x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
x
(sqrt (sqrt x))
(sqrt.f64 (sqrt.f64 x))
(sqrt x)
(sqrt.f64 x)
(* (sqrt (* 2 x)) (pow (sqrt (sqrt (sqrt x))) 4))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 4 binary64)))
(sqrt (* 2 x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
x
(pow (sqrt (sqrt (sqrt x))) 4)
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 4 binary64))
(sqrt (sqrt (sqrt x)))
(sqrt.f64 (sqrt.f64 (sqrt.f64 x)))
(sqrt (sqrt x))
(sqrt.f64 (sqrt.f64 x))
(sqrt x)
(sqrt.f64 x)
4
#s(literal 4 binary64)
(* (pow (pow 2 1/4) 2) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow (pow 2 1/4) 2)
(sqrt.f64 #s(literal 2 binary64))
(pow 2 1/4)
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
2
#s(literal 2 binary64)
1/4
#s(literal 1/4 binary64)
x

localize268.0ms (1.3%)

Memory
4.5MiB live, 166.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
accuracy99.4%
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x)
accuracy98.4%
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
accuracy99.8%
(sqrt.f64 (sqrt.f64 (sqrt.f64 x)))
accuracy99.8%
(sqrt.f64 (sqrt.f64 x))
accuracy99.5%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 4 binary64)))
accuracy98.6%
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 4 binary64))
accuracy100.0%
(sqrt.f64 x)
accuracy99.8%
(sqrt.f64 (sqrt.f64 x))
accuracy99.5%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x)))
accuracy99.5%
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
accuracy100.0%
(sqrt.f64 x)
accuracy99.8%
(sqrt.f64 (sqrt.f64 x))
accuracy99.5%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
accuracy99.2%
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
accuracy99.8%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
accuracy99.8%
(sqrt.f64 (sqrt.f64 x))
accuracy99.5%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x))
accuracy99.5%
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
Samples
212.0ms256×0valid
Compiler

Compiled 159 to 24 computations (84.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 197.0ms
ival-pow: 102.0ms (51.8% of total)
ival-sqrt: 79.0ms (40.1% of total)
ival-mult: 14.0ms (7.1% of total)
ival-pow2: 3.0ms (1.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series57.0ms (0.3%)

Memory
-19.2MiB live, 38.8MiB allocated
Counts
18 → 192
Calls
Call 1
Inputs
#<alt (* (* (sqrt (* 2 (sqrt x))) (sqrt x)) (sqrt (sqrt x)))>
#<alt (* (sqrt (* 2 (sqrt x))) (sqrt x))>
#<alt (sqrt (* 2 (sqrt x)))>
#<alt (* 2 (sqrt x))>
#<alt (* (sqrt (sqrt x)) (sqrt (sqrt x)))>
#<alt (* (sqrt (* 2 x)) (* (sqrt (sqrt x)) (sqrt (sqrt x))))>
#<alt (sqrt (* 2 x))>
#<alt (* 2 x)>
#<alt (* (* (sqrt (* 2 x)) (sqrt (sqrt x))) (sqrt (sqrt x)))>
#<alt (* (sqrt (* 2 x)) (sqrt (sqrt x)))>
#<alt (* (sqrt (* 2 x)) (pow (sqrt (sqrt (sqrt x))) 4))>
#<alt (pow (sqrt (sqrt (sqrt x))) 4)>
#<alt (pow (pow 2 1/4) 2)>
#<alt (* (pow (pow 2 1/4) 2) x)>
#<alt (pow 2 1/4)>
#<alt (sqrt (sqrt x))>
#<alt (sqrt x)>
#<alt (sqrt (sqrt (sqrt x)))>
Outputs
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))>
#<alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))>
#<alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))>
#<alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))>
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))>
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))>
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (pow (* 1 x) 1/8)>
#<alt (pow (* 1 x) 1/8)>
#<alt (pow (* 1 x) 1/8)>
#<alt (pow (* 1 x) 1/8)>
#<alt (pow (* 1 x) 1/8)>
#<alt (pow (* 1 x) 1/8)>
#<alt (pow (* 1 x) 1/8)>
#<alt (pow (* 1 x) 1/8)>
#<alt (* (pow (* -1 x) 1/8) (pow (* 1 (sqrt -1)) 1/4))>
#<alt (* (pow (* -1 x) 1/8) (pow (* 1 (sqrt -1)) 1/4))>
#<alt (* (pow (* -1 x) 1/8) (pow (* 1 (sqrt -1)) 1/4))>
#<alt (* (pow (* -1 x) 1/8) (pow (* 1 (sqrt -1)) 1/4))>
Calls

48 calls:

TimeVariablePointExpression
42.0ms
x
@0
(* (sqrt (* 2 (sqrt x))) (sqrt x))
7.0ms
x
@0
(sqrt (sqrt (sqrt x)))
1.0ms
x
@-inf
(* (* (sqrt (* 2 (sqrt x))) (sqrt x)) (sqrt (sqrt x)))
1.0ms
x
@-inf
(* (sqrt (* 2 (sqrt x))) (sqrt x))
1.0ms
x
@-inf
(sqrt (* 2 (sqrt x)))

rewrite62.0ms (0.3%)

Memory
6.3MiB live, 44.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
1 820×prod-exp
756×unpow-prod-down
494×pow-prod-down
344×pow-exp
248×pow-to-exp
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
022184
17272
225872
3124918
0693618
Stop Event
iter limit
iter limit
node limit
Counts
18 → 34
Calls
Call 1
Inputs
(* (* (sqrt (* 2 (sqrt x))) (sqrt x)) (sqrt (sqrt x)))
(* (sqrt (* 2 (sqrt x))) (sqrt x))
(sqrt (* 2 (sqrt x)))
(* 2 (sqrt x))
(* (sqrt (sqrt x)) (sqrt (sqrt x)))
(* (sqrt (* 2 x)) (* (sqrt (sqrt x)) (sqrt (sqrt x))))
(sqrt (* 2 x))
(* 2 x)
(* (* (sqrt (* 2 x)) (sqrt (sqrt x))) (sqrt (sqrt x)))
(* (sqrt (* 2 x)) (sqrt (sqrt x)))
(* (sqrt (* 2 x)) (pow (sqrt (sqrt (sqrt x))) 4))
(pow (sqrt (sqrt (sqrt x))) 4)
(pow (pow 2 1/4) 2)
(* (pow (pow 2 1/4) 2) x)
(pow 2 1/4)
(sqrt (sqrt x))
(sqrt x)
(sqrt (sqrt (sqrt x)))
Outputs
#s(literal 1 binary64)
x
#s(literal 1 binary64)
x
#s(literal 1 binary64)
x
#s(literal 2 binary64)
#s(literal 1 binary64)
x
#s(literal 1 binary64)
x
#s(literal 1 binary64)
x
#s(literal 2 binary64)
#s(literal 1 binary64)
x
#s(literal 1 binary64)
x
#s(literal 1 binary64)
x
#s(literal 1 binary64)
x
#s(literal 1 binary64)
x
#s(literal 1 binary64)
x
#s(literal 1 binary64)
x
#s(literal 1 binary64)
x
#s(literal 1 binary64)
x
#s(literal 1 binary64)
x

simplify419.0ms (2%)

Memory
-12.9MiB live, 224.0MiB allocated
Algorithm
egg-herbie
Rules
3 956×*-lowering-*.f32
3 956×*-lowering-*.f64
3 568×accelerator-lowering-fma.f32
3 568×accelerator-lowering-fma.f64
2 004×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054968
1120968
2324964
3571964
4854964
51534964
62085964
72273964
82425964
92545964
102594964
113077964
123287964
133287964
143287964
153287964
163287964
173966964
185648964
196104964
206104964
216688964
226772964
236972964
247012964
257012964
267012964
277012964
287012964
297911964
08151964
Stop Event
iter limit
node limit
Counts
192 → 192
Calls
Call 1
Inputs
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(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))))
(* (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 (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* 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 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)))
(pow (* 1 x) 1/8)
(pow (* 1 x) 1/8)
(pow (* 1 x) 1/8)
(pow (* 1 x) 1/8)
(pow (* 1 x) 1/8)
(pow (* 1 x) 1/8)
(pow (* 1 x) 1/8)
(pow (* 1 x) 1/8)
(* (pow (* -1 x) 1/8) (pow (* 1 (sqrt -1)) 1/4))
(* (pow (* -1 x) 1/8) (pow (* 1 (sqrt -1)) 1/4))
(* (pow (* -1 x) 1/8) (pow (* 1 (sqrt -1)) 1/4))
(* (pow (* -1 x) 1/8) (pow (* 1 (sqrt -1)) 1/4))
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 (* (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) (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 (pow (sqrt -1) 3)) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.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)) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.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)) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.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)) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.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 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 #s(literal 2 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* 2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* 2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* 2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* 2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* 2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* 2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* 2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* 2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.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)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (sqrt.f64 #s(literal -2 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (sqrt.f64 #s(literal -2 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (sqrt.f64 #s(literal -2 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (sqrt.f64 #s(literal -2 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))))
(neg.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(neg.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(neg.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(neg.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 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 -1 binary64)) (*.f64 x (sqrt.f64 #s(literal -2 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (sqrt.f64 #s(literal -2 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (sqrt.f64 #s(literal -2 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (sqrt.f64 #s(literal -2 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 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 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 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 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 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 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 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (sqrt.f64 #s(literal -2 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (sqrt.f64 #s(literal -2 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (sqrt.f64 #s(literal -2 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (sqrt.f64 #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)))
(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 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 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)
(pow (* 1 x) 1/8)
(pow.f64 x #s(literal 1/8 binary64))
(pow (* 1 x) 1/8)
(pow.f64 x #s(literal 1/8 binary64))
(pow (* 1 x) 1/8)
(pow.f64 x #s(literal 1/8 binary64))
(pow (* 1 x) 1/8)
(pow.f64 x #s(literal 1/8 binary64))
(pow (* 1 x) 1/8)
(pow.f64 x #s(literal 1/8 binary64))
(pow (* 1 x) 1/8)
(pow.f64 x #s(literal 1/8 binary64))
(pow (* 1 x) 1/8)
(pow.f64 x #s(literal 1/8 binary64))
(pow (* 1 x) 1/8)
(pow.f64 x #s(literal 1/8 binary64))
(* (pow (* -1 x) 1/8) (pow (* 1 (sqrt -1)) 1/4))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/8 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(* (pow (* -1 x) 1/8) (pow (* 1 (sqrt -1)) 1/4))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/8 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(* (pow (* -1 x) 1/8) (pow (* 1 (sqrt -1)) 1/4))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/8 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(* (pow (* -1 x) 1/8) (pow (* 1 (sqrt -1)) 1/4))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/8 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))

eval49.0ms (0.2%)

Memory
11.7MiB live, 91.3MiB allocated
Compiler

Compiled 4 821 to 181 computations (96.2% saved)

prune16.0ms (0.1%)

Memory
7.6MiB live, 44.3MiB allocated
Pruning

14 alts after pruning (3 fresh and 11 done)

PrunedKeptTotal
New4453448
Fresh000
Picked055
Done066
Total44514459
Accuracy
100.0%
Counts
459 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x)
99.3%
(*.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))))
99.2%
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64)))
99.1%
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (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)))
98.9%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
63.9%
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
64.0%
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
98.5%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 4 binary64)))
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)
51.7%
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
20.3%
x
Compiler

Compiled 146 to 98 computations (32.9% saved)

simplify7.0ms (0%)

Memory
-23.3MiB live, 15.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 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
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x))
cost-diff0
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64)))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
cost-diff1600
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
cost-diff2240
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
Rules
124×*-lowering-*.f32
124×*-lowering-*.f64
60×associate-*r*
42×associate-*l*
38×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01462
12658
25958
310158
410858
511058
011058
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
x
(* (* (sqrt 2) (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x))))
(* (sqrt 2) (sqrt x))
(sqrt 2)
2
(sqrt x)
x
(* (sqrt (sqrt x)) (sqrt (sqrt x)))
(sqrt (sqrt x))
(* (* (sqrt (* 2 (sqrt x))) (sqrt x)) (pow x 1/4))
(* (sqrt (* 2 (sqrt x))) (sqrt x))
(sqrt (* 2 (sqrt x)))
(* 2 (sqrt x))
2
(sqrt x)
x
(pow x 1/4)
1/4
Outputs
x
(* (* (sqrt 2) (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt 2) (sqrt x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(sqrt x)
(sqrt.f64 x)
x
(* (sqrt (sqrt x)) (sqrt (sqrt x)))
(sqrt.f64 x)
(sqrt (sqrt x))
(sqrt.f64 (sqrt.f64 x))
(* (* (sqrt (* 2 (sqrt x))) (sqrt x)) (pow x 1/4))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/4 binary64))))
(* (sqrt (* 2 (sqrt x))) (sqrt x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(sqrt (* 2 (sqrt x)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(* 2 (sqrt x))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
2
#s(literal 2 binary64)
(sqrt x)
(sqrt.f64 x)
x
(pow x 1/4)
(pow.f64 x #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)

localize81.0ms (0.4%)

Memory
-7.2MiB live, 112.9MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sqrt.f64 x)
accuracy99.8%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
accuracy99.5%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x))
accuracy99.5%
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64)))
accuracy99.8%
(sqrt.f64 (sqrt.f64 x))
accuracy99.5%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
accuracy99.3%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
accuracy99.2%
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
Samples
34.0ms256×0valid
Compiler

Compiled 74 to 16 computations (78.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 12.0ms (48.5% of total)
ival-sqrt: 7.0ms (28.3% of total)
ival-pow: 5.0ms (20.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series16.0ms (0.1%)

Memory
29.3MiB live, 29.3MiB allocated
Counts
10 → 108
Calls
Call 1
Inputs
#<alt (* (sqrt (sqrt x)) (sqrt (sqrt x)))>
#<alt (* (* (sqrt 2) (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x))))>
#<alt (* (sqrt 2) (sqrt x))>
#<alt (sqrt 2)>
#<alt (* (* (sqrt (* 2 (sqrt x))) (sqrt x)) (pow x 1/4))>
#<alt (* (sqrt (* 2 (sqrt x))) (sqrt x))>
#<alt (sqrt (* 2 (sqrt x)))>
#<alt (* 2 (sqrt x))>
#<alt (sqrt (sqrt x))>
#<alt (sqrt x)>
Outputs
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (pow (sqrt -1) 3)))))>
#<alt (* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (pow (sqrt -1) 3)))))>
#<alt (* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (pow (sqrt -1) 3)))))>
#<alt (* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (pow (sqrt -1) 3)))))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))>
#<alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))>
#<alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))>
#<alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))>
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))>
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))>
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
Calls

27 calls:

TimeVariablePointExpression
13.0ms
x
@-inf
(* (* (sqrt (* 2 (sqrt x))) (sqrt x)) (pow x 1/4))
0.0ms
x
@-inf
(* (sqrt 2) (sqrt x))
0.0ms
x
@-inf
(* (* (sqrt 2) (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x))))
0.0ms
x
@0
(sqrt (* 2 (sqrt x)))
0.0ms
x
@0
(* (* (sqrt 2) (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x))))

rewrite254.0ms (1.2%)

Memory
14.7MiB live, 562.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 384×accelerator-lowering-fma.f32
5 384×accelerator-lowering-fma.f64
3 652×*-lowering-*.f32
3 652×*-lowering-*.f64
1 904×exp-lowering-exp.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01443
14536
217536
375936
4439736
0815836
Stop Event
iter limit
node limit
Counts
10 → 548
Calls
Call 1
Inputs
(* (sqrt (sqrt x)) (sqrt (sqrt x)))
(* (* (sqrt 2) (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x))))
(* (sqrt 2) (sqrt x))
(sqrt 2)
(* (* (sqrt (* 2 (sqrt x))) (sqrt x)) (pow x 1/4))
(* (sqrt (* 2 (sqrt x))) (sqrt x))
(sqrt (* 2 (sqrt x)))
(* 2 (sqrt x))
(sqrt (sqrt x))
(sqrt x)
Outputs
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/16 binary64)) #s(literal 8 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/4 binary64))) (log.f64 (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/4 binary64))) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (log.f64 x))))
(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 (log.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/8 binary64)) #s(literal 8 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/4 binary64))) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1/16 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/16 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 8 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) #s(literal 8 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1/4 binary64)) #s(literal 8 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1/32 binary64)) #s(literal 8 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 8 binary64)))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(fabs.f64 (sqrt.f64 x))
(fabs.f64 (neg.f64 (sqrt.f64 x)))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 x))))
(sqrt.f64 x)
(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (*.f64 x x) (log.f64 (exp.f64 #s(literal 1/4 binary64))))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #s(literal 8 binary64))
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (*.f64 x x)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 (log.f64 x) #s(literal 1/8 binary64)))
(pow.f64 (exp.f64 #s(literal 1/8 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 1/8 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (log.f64 (*.f64 x x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 x x))) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (log.f64 (*.f64 x x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 8 binary64)) (*.f64 (log.f64 x) #s(literal 1/8 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1/2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 4 binary64)) (*.f64 (log.f64 x) #s(literal 1/8 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 8 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1/4 binary64)) (log.f64 (*.f64 x x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1/8 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 x)))
(pow.f64 (exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 x))) #s(literal 1/8 binary64))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) #s(literal 4 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/4 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 3/8 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 3/16 binary64) (log.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 7/4 binary64) (log.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 7/8 binary64) (log.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 5/8 binary64))))
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) #s(literal 4 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/4 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 3/8 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 7/4 binary64) (log.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 7/8 binary64) (log.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 5/8 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 3/16 binary64) (log.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1/4 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64)) #s(literal 1/4 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 1/8 binary64)) #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 1/8 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x #s(literal 2 binary64))))))
(exp.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 x) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (*.f64 (log.f64 x) #s(literal 3/4 binary64))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (log.f64 x))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3/4 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (*.f64 x (sqrt.f64 x)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (*.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 #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64))) #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 (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)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (*.f64 x (sqrt.f64 x))))
(sqrt.f64 (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(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 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))))
(pow.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (*.f64 x (sqrt.f64 x))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (*.f64 x (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))) #s(literal 1/2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 x (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 (*.f64 x (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x)))))
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(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 7/8 binary64) (log.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (*.f64 #s(literal 7/4 binary64) (log.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (pow.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(*.f64 (fabs.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))
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(*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 7/8 binary64) (log.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 3/32 binary64) (log.f64 x))))
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(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64)) #s(literal 1/8 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1/16 binary64))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 3/16 binary64) (log.f64 x))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 3/16 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1/16 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1/4 binary64))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64)) #s(literal 1/4 binary64))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 1/8 binary64)) #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 1/8 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (*.f64 #s(literal 7/4 binary64) (log.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (*.f64 (log.f64 x) #s(literal 3/4 binary64))) (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (*.f64 #s(literal 5/4 binary64) (log.f64 x))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (*.f64 #s(literal 5/4 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (*.f64 (log.f64 x) #s(literal 3/4 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/16 binary64)) #s(literal 8 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/4 binary64))) (log.f64 (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/4 binary64))) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (log.f64 x))))
(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 (log.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/8 binary64)) #s(literal 8 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/4 binary64))) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1/16 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/16 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 8 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) #s(literal 8 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1/4 binary64)) #s(literal 8 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1/32 binary64)) #s(literal 8 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 8 binary64)))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(fabs.f64 (sqrt.f64 x))
(fabs.f64 (neg.f64 (sqrt.f64 x)))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 x))))
(sqrt.f64 x)
(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (*.f64 x x) (log.f64 (exp.f64 #s(literal 1/4 binary64))))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #s(literal 8 binary64))
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (*.f64 x x)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 (log.f64 x) #s(literal 1/8 binary64)))
(pow.f64 (exp.f64 #s(literal 1/8 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 1/8 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (log.f64 (*.f64 x x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 x x))) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (log.f64 (*.f64 x x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 8 binary64)) (*.f64 (log.f64 x) #s(literal 1/8 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1/2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 4 binary64)) (*.f64 (log.f64 x) #s(literal 1/8 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 8 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1/4 binary64)) (log.f64 (*.f64 x x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1/8 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 x)))
(pow.f64 (exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 x))) #s(literal 1/8 binary64))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) #s(literal 4 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/4 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 3/8 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 3/16 binary64) (log.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 7/4 binary64) (log.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 7/8 binary64) (log.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 5/8 binary64))))
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) #s(literal 4 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/4 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 3/8 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 7/4 binary64) (log.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 7/8 binary64) (log.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 5/8 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 3/16 binary64) (log.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1/4 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64)) #s(literal 1/4 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 1/8 binary64)) #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 1/8 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))

simplify2.5s (12%)

Memory
-16.8MiB live, 2 200.9MiB allocated
Algorithm
egg-herbie
Rules
95 168×accelerator-lowering-fma.f32
95 168×accelerator-lowering-fma.f64
4 776×*-lowering-*.f32
4 776×*-lowering-*.f64
4 336×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045568
1104568
2309556
3676556
41164556
52057556
62657556
72858556
82951556
93002556
103021556
113400556
123559556
133562556
143565556
153568556
163571556
173574556
183577556
193580556
203583556
213586556
223589556
233592556
243595556
253598556
263601556
273604556
283607556
293610556
303613556
313616556
323619556
333622556
343625556
353628556
363631556
373634556
383637556
394928556
08797556
Stop Event
iter limit
node limit
Counts
108 → 108
Calls
Call 1
Inputs
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* (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) (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (pow (sqrt -1) 3)))))
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (pow (sqrt -1) 3)))))
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (pow (sqrt -1) 3)))))
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (pow (sqrt -1) 3)))))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(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)))
Outputs
(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)))
(* -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)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.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 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (pow (sqrt -1) 3)))))
(*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 #s(literal -1 binary64) #s(literal 5/4 binary64))))
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (pow (sqrt -1) 3)))))
(*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 #s(literal -1 binary64) #s(literal 5/4 binary64))))
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (pow (sqrt -1) 3)))))
(*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 #s(literal -1 binary64) #s(literal 5/4 binary64))))
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (pow (sqrt -1) 3)))))
(*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 #s(literal -1 binary64) #s(literal 5/4 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))
(*.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 (pow (sqrt -1) 3)) (sqrt 2)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (neg.f64 (*.f64 x (*.f64 x 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 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 #s(literal 2 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* 2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* 2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* 2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* 2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* 2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* 2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* 2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* 2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 2 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 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 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)

eval239.0ms (1.1%)

Memory
-2.0MiB live, 262.3MiB allocated
Compiler

Compiled 21 424 to 2 684 computations (87.5% saved)

prune198.0ms (0.9%)

Memory
-23.4MiB live, 280.9MiB allocated
Pruning

14 alts after pruning (0 fresh and 14 done)

PrunedKeptTotal
New1 20201 202
Fresh000
Picked033
Done01111
Total1 202141 216
Accuracy
100.0%
Counts
1 216 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x)
99.3%
(*.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))))
99.2%
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64)))
99.1%
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (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)))
98.9%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
63.9%
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
64.0%
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
98.5%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 4 binary64)))
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)
51.7%
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
20.3%
x
Compiler

Compiled 292 to 144 computations (50.7% saved)

regimes14.0ms (0.1%)

Memory
29.1MiB live, 29.1MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
x
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (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 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (*.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 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 4 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x)
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
Outputs
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
Calls

3 calls:

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

Compiled 15 to 10 computations (33.3% saved)

regimes7.0ms (0%)

Memory
-23.5MiB live, 14.2MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
x
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
Outputs
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
Calls

3 calls:

3.0ms
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
2.0ms
x
2.0ms
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
Results
AccuracySegmentsBranch
99.4%1x
99.4%1(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
99.4%1(*.f64 (*.f64 #s(literal 2 binary64) x) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes4.0ms (0%)

Memory
13.7MiB live, 13.7MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

3 calls:

1.0ms
x
1.0ms
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
1.0ms
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
Results
AccuracySegmentsBranch
20.3%1x
20.3%1(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
20.3%1(*.f64 (*.f64 #s(literal 2 binary64) x) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify8.0ms (0%)

Memory
-17.4MiB live, 21.4MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
11112
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
x
Outputs
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
x

soundness13.1s (62.5%)

Memory
9.7MiB live, 489.0MiB allocated
Rules
6 098×*-lowering-*.f32
6 098×*-lowering-*.f64
5 528×accelerator-lowering-fma.f32
5 528×accelerator-lowering-fma.f64
5 230×*-lowering-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02289
16385
218870
375870
4377970
01020070
022184
17272
225872
3124918
0693618
0514
11414
23513
38912
434812
5206512
0866912
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 51 to 34 computations (33.3% saved)

preprocess55.0ms (0.3%)

Memory
20.4MiB live, 102.4MiB allocated
Compiler

Compiled 72 to 50 computations (30.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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