sqrt C (should all be same)

Time bar (total: 15.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
100%100%0%0%0%0%0%2
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample741.0ms (4.9%)

Memory
65.8MiB live, 915.8MiB allocated
Samples
486.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 347.0ms
ival-sqrt: 184.0ms (53.1% of total)
ival-mult: 150.0ms (43.2% of total)
ival-true: 5.0ms (1.4% of total)
exact: 5.0ms (1.4% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

explain68.0ms (0.5%)

Memory
-43.6MiB live, 102.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1360-3(-5.046115756818839e-160)(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
00-0-#s(literal 2 binary64)
00-0-(*.f64 x x)
00-0-(*.f64 #s(literal 2 binary64) (*.f64 x x))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))uflow-rescue710
↳(*.f64 #s(literal 2 binary64) (*.f64 x x))underflow71
↳(*.f64 x x)underflow71
sqrt.f64(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))oflow-rescue620
↳(*.f64 #s(literal 2 binary64) (*.f64 x x))overflow62
↳(*.f64 x x)overflow62
Confusion
Predicted +Predicted -
+1334
-0119
Precision
1.0
Recall
0.9708029197080292
Confusion?
Predicted +Predicted MaybePredicted -
+13304
-00119
Precision?
1.0
Recall?
0.9708029197080292
Freqs
test
numberfreq
0123
1133
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
24.0ms512×0valid
Compiler

Compiled 42 to 19 computations (54.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 7.0ms (60.2% of total)
ival-sqrt: 4.0ms (34.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess33.0ms (0.2%)

Memory
-8.6MiB live, 27.8MiB allocated
Algorithm
1×egg-herbie
Rules
34×associate-*l*
32×associate-*r*
26×distribute-lft-neg-in
24×distribute-lft-in
24×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

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

(abs x)

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶51.0%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify3.0ms (0%)

Memory
4.7MiB live, 4.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal 2 binary64) (*.f64 x x))
cost-diff0
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
Rules
14×lower-*.f32
10×lower-*.f64
6×*-commutative
4×lift-*.f64
2×lift-sqrt.f64
Iterations

Useful iterations: 0 (0.0ms)

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

localize35.0ms (0.2%)

Memory
-18.0MiB live, 28.2MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x x)
accuracy0.01171875
(*.f64 #s(literal 2 binary64) (*.f64 x x))
accuracy31.331758138130112
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
Samples
10.0ms256×0valid
Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (57.2% of total)
ival-sqrt: 2.0ms (38.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0%)

Memory
9.9MiB live, 9.9MiB allocated
Counts
3 → 36
Calls
Call 1
Inputs
#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
Outputs
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
Calls

3 calls:

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

simplify5.0ms (0%)

Memory
12.0MiB live, 12.0MiB allocated
Algorithm
1×egg-herbie
Rules
38×lower-*.f64
38×lower-fma.f64
38×lower-fma.f32
38×lower-*.f32
36×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite176.0ms (1.2%)

Memory
-3.8MiB live, 189.0MiB allocated
Rules
6 020×lower-fma.f64
6 020×lower-fma.f32
3 692×lower-*.f32
3 688×lower-*.f64
1 894×lower-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0514
0814
11713
24612
312312
458012
5391412
0817912
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
3 → 226
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 x x)
Outputs
(*.f64 (sqrt.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3/8 binary64)))) (pow.f64 x #s(literal 1/16 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/8 binary64)))) (pow.f64 x #s(literal 3/16 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 5/4 binary64)))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 7/4 binary64)))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 5/8 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 7/8 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 3/2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 7/16 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3/16 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3/16 binary64)) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3/16 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3/16 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64))) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
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(pow.f64 (exp.f64 (+.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) (log.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) x)))) (exp.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) x)))))
(/.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/2 binary64))))) (exp.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/2 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 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))))
(/.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 x (*.f64 x #s(literal 2 binary64)))))) (exp.f64 (/.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (log.f64 (/.f64 x (*.f64 x #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 29/8 binary64))) (pow.f64 x #s(literal 3/16 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 31/8 binary64))) (pow.f64 x #s(literal 1/16 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 15/4 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (fabs.f64 (pow.f64 x #s(literal 7/2 binary64)))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 9/4 binary64))) (pow.f64 x #s(literal 7/8 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 11/4 binary64))) (pow.f64 x #s(literal 5/8 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 13/4 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (E.f64) (*.f64 #s(literal 7/4 binary64) (log.f64 x))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 #s(literal 3/8 binary64) (log.f64 x))) (sqrt.f64 x))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 5/2 binary64) (log.f64 x))) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 7/2 binary64) (log.f64 x))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) x) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 15/8 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (pow.f64 x #s(literal 13/8 binary64)) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 7/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 7/4 binary64)))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 7/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (pow.f64 x #s(literal 9/4 binary64))))
(*.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 (pow.f64 x #s(literal 11/4 binary64))))
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (sqrt.f64 (pow.f64 x #s(literal 29/8 binary64))))
(*.f64 (pow.f64 x #s(literal 1/16 binary64)) (sqrt.f64 (pow.f64 x #s(literal 31/8 binary64))))
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 x #s(literal 7/4 binary64)) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 x #s(literal 7/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 5/2 binary64) (log.f64 x))))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 5/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 (pow.f64 x #s(literal 13/4 binary64))))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 x #s(literal 13/8 binary64)))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 (pow.f64 x #s(literal 15/4 binary64))))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 15/8 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (fabs.f64 (pow.f64 x #s(literal 7/2 binary64)))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (E.f64) (*.f64 #s(literal 7/4 binary64) (log.f64 x))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 7/2 binary64) (log.f64 x))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 7/4 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fabs.f64 (pow.f64 x #s(literal 7/4 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 7/4 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (sqrt.f64 x) (pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 #s(literal 3/8 binary64) (log.f64 x))))
(*.f64 (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 x)) x))
(*.f64 (sqrt.f64 x) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 x x)
(pow.f64 (pow.f64 (E.f64) #s(literal 4 binary64)) (log.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (E.f64) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (E.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (E.f64) #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) #s(literal 1 binary64)) (log.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) #s(literal 1/2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 8 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (E.f64) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 x #s(literal 16 binary64)) #s(literal 1/8 binary64))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 (sqrt.f64 x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (+.f64 (/.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (/.f64 (log.f64 x) #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (+.f64 (/.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (sqrt.f64 x))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 x)) #s(literal 8 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 x)))
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 16 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 8 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 x x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (E.f64)) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 4 binary64))) (log.f64 (sqrt.f64 x))))
(exp.f64 (*.f64 (*.f64 #s(literal 8 binary64) (log.f64 x)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 8 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval34.0ms (0.2%)

Memory
-5.2MiB live, 68.3MiB allocated
Compiler

Compiled 3 146 to 747 computations (76.3% saved)

prune34.0ms (0.2%)

Memory
23.9MiB live, 69.7MiB allocated
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2557262
Fresh000
Picked011
Done000
Total2558263
Accuracy
100.0%
Counts
263 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
99.4%
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
▶99.4%
(*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
▶99.3%
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
▶99.4%
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
▶99.3%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
▶50.7%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))
✓51.0%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
Compiler

Compiled 114 to 101 computations (11.4% saved)

simplify7.0ms (0%)

Memory
-29.4MiB live, 8.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
cost-diff0
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
cost-diff6784
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
cost-diff0
(sqrt.f64 x)
cost-diff0
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
cost-diff0
(*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))
cost-diff0
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 x #s(literal 2 binary64))
cost-diff0
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
cost-diff0
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
cost-diff0
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))
cost-diff0
(pow.f64 x #s(literal 7/8 binary64))
cost-diff0
(*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
Rules
38×lower-*.f32
22×lower-*.f64
16×*-commutative
16×lift-*.f64
10×lift-sqrt.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02399
04099
15095
25395
05395
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(pow.f64 x #s(literal 7/8 binary64))
x
#s(literal 7/8 binary64)
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
#s(literal 2 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(sqrt.f64 x)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))
#s(literal 2 binary64)
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(sqrt.f64 x)
x
#s(literal 4 binary64)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
#s(literal 4 binary64)
#s(literal 1/8 binary64)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
x
Outputs
(*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 7/8 binary64)))
(pow.f64 x #s(literal 7/8 binary64))
x
#s(literal 7/8 binary64)
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 x #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
#s(literal 2 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 2 binary64)
(sqrt.f64 x)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(sqrt.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(sqrt.f64 x)
x
#s(literal 4 binary64)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
#s(literal 4 binary64)
#s(literal 1/8 binary64)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
x

localize93.0ms (0.6%)

Memory
21.0MiB live, 137.1MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
accuracy0.23046875
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
accuracy0.30859375
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
accuracy0
(sqrt.f64 x)
accuracy0.01171875
(*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))
accuracy0.46146030282170275
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
accuracy31.331758138130112
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))
accuracy0
(*.f64 x #s(literal 2 binary64))
accuracy0
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
accuracy0
(sqrt.f64 x)
accuracy0.36328125
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
accuracy0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.44140625
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
accuracy0
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
accuracy0.0078125
(pow.f64 x #s(literal 7/8 binary64))
accuracy0.16015625
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))
accuracy0.3561325195368841
(*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
Samples
56.0ms256×0valid
Compiler

Compiled 101 to 25 computations (75.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-pow: 20.0ms (46.5% of total)
ival-mult: 11.0ms (25.6% of total)
ival-sqrt: 11.0ms (25.6% of total)
exact: 1.0ms (2.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series235.0ms (1.6%)

Memory
22.9MiB live, 373.1MiB allocated
Counts
16 → 168
Calls
Call 1
Inputs
#s(alt (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (patch (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 7/8 binary64)) (patch (pow.f64 x #s(literal 7/8 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) (patch (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(literal 2 binary64)) (patch (sqrt.f64 #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))) (patch (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) (patch (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) (patch (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) #<representation binary64>) () ())
#s(alt (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (patch (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (patch (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) #<representation binary64>) () ())
Outputs
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (patch (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (patch (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (patch (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (patch (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 7)) 1/8) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 7/8 binary64)) (patch (pow.f64 x #s(literal 7/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 7)) 1/8) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 7/8 binary64)) (patch (pow.f64 x #s(literal 7/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 7)) 1/8) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 7/8 binary64)) (patch (pow.f64 x #s(literal 7/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 7)) 1/8) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 7/8 binary64)) (patch (pow.f64 x #s(literal 7/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/8) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/8) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/8) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/8) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow (* 1 x) 1/4)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) (patch (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow (* 1 x) 1/4)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) (patch (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow (* 1 x) 1/4)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) (patch (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow (* 1 x) 1/4)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) (patch (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))) (patch (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))) (patch (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))) (patch (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))) (patch (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) (patch (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) (patch (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) (patch (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) (patch (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/4) x) (taylor 0 x) (#s(alt (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) (patch (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/4) x) (taylor 0 x) (#s(alt (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) (patch (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/4) x) (taylor 0 x) (#s(alt (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) (patch (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/4) x) (taylor 0 x) (#s(alt (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) (patch (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/8) x) (taylor 0 x) (#s(alt (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (patch (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/8) x) (taylor 0 x) (#s(alt (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (patch (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/8) x) (taylor 0 x) (#s(alt (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (patch (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/8) x) (taylor 0 x) (#s(alt (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (patch (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (patch (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (patch (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (patch (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (patch (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 7)) 1/8) (taylor inf x) (#s(alt (pow.f64 x #s(literal 7/8 binary64)) (patch (pow.f64 x #s(literal 7/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 7)) 1/8) (taylor inf x) (#s(alt (pow.f64 x #s(literal 7/8 binary64)) (patch (pow.f64 x #s(literal 7/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 7)) 1/8) (taylor inf x) (#s(alt (pow.f64 x #s(literal 7/8 binary64)) (patch (pow.f64 x #s(literal 7/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 7)) 1/8) (taylor inf x) (#s(alt (pow.f64 x #s(literal 7/8 binary64)) (patch (pow.f64 x #s(literal 7/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/8) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/8) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/8) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* 2 (* (pow x 2) (pow (sqrt -1) 4))) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))) (patch (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x 2) (pow (sqrt -1) 4))) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))) (patch (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow (sqrt -1) 4)) (taylor -inf x) (#s(alt (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) (patch (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow (sqrt -1) 4)) (taylor -inf x) (#s(alt (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) (patch (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow (sqrt -1) 4)) (taylor -inf x) (#s(alt (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) (patch (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow (sqrt -1) 4)) (taylor -inf x) (#s(alt (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) (patch (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/4) x) (taylor -inf x) (#s(alt (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) (patch (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/4) x) (taylor -inf x) (#s(alt (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) (patch (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/4) x) (taylor -inf x) (#s(alt (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) (patch (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/4) x) (taylor -inf x) (#s(alt (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) (patch (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/8) x) (taylor -inf x) (#s(alt (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (patch (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/8) x) (taylor -inf x) (#s(alt (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (patch (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/8) x) (taylor -inf x) (#s(alt (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (patch (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/8) x) (taylor -inf x) (#s(alt (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (patch (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
128.0ms
x
@0
((* (pow x 7/8) (sqrt (* (pow x 1/4) 2))) (pow x 7/8) (sqrt (* (pow x 1/4) 2)) (* (pow x 1/4) 2) (* (sqrt 2) x) (sqrt 2) (* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (sqrt (* 2 (pow (sqrt x) 4))) (* 2 (pow (sqrt x) 4)) (pow (sqrt x) 4) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x))
61.0ms
x
@-inf
((* (pow x 7/8) (sqrt (* (pow x 1/4) 2))) (pow x 7/8) (sqrt (* (pow x 1/4) 2)) (* (pow x 1/4) 2) (* (sqrt 2) x) (sqrt 2) (* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (sqrt (* 2 (pow (sqrt x) 4))) (* 2 (pow (sqrt x) 4)) (pow (sqrt x) 4) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x))
42.0ms
x
@inf
((* (pow x 7/8) (sqrt (* (pow x 1/4) 2))) (pow x 7/8) (sqrt (* (pow x 1/4) 2)) (* (pow x 1/4) 2) (* (sqrt 2) x) (sqrt 2) (* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (sqrt (* 2 (pow (sqrt x) 4))) (* 2 (pow (sqrt x) 4)) (pow (sqrt x) 4) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x))

simplify138.0ms (0.9%)

Memory
15.7MiB live, 125.6MiB allocated
Algorithm
1×egg-herbie
Rules
3 252×lower-fma.f64
3 252×lower-fma.f32
2 842×lower-*.f64
2 842×lower-*.f32
1 274×div-sub
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
063800
1147800
2416784
3826784
41195780
52223780
63592780
75454776
86859776
08068776
Stop Event
1×iter limit
1×node limit
Counts
168 → 168
Calls
Call 1
Inputs
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(pow (* 1 (pow x 7)) 1/8)
(pow (* 1 (pow x 7)) 1/8)
(pow (* 1 (pow x 7)) 1/8)
(pow (* 1 (pow x 7)) 1/8)
(* (pow (* 1 x) 1/8) (sqrt 2))
(* (pow (* 1 x) 1/8) (sqrt 2))
(* (pow (* 1 x) 1/8) (sqrt 2))
(* (pow (* 1 x) 1/8) (sqrt 2))
(* 2 (pow (* 1 x) 1/4))
(* 2 (pow (* 1 x) 1/4))
(* 2 (pow (* 1 x) 1/4))
(* 2 (pow (* 1 x) 1/4))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow 4 1/4) x)
(* (pow 4 1/4) x)
(* (pow 4 1/4) x)
(* (pow 4 1/4) x)
(* (pow 4 1/8) x)
(* (pow 4 1/8) x)
(* (pow 4 1/8) x)
(* (pow 4 1/8) x)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(pow (* 1 (pow x 7)) 1/8)
(pow (* 1 (pow x 7)) 1/8)
(pow (* 1 (pow x 7)) 1/8)
(pow (* 1 (pow x 7)) 1/8)
(* (pow (* 1 x) 1/8) (sqrt 2))
(* (pow (* 1 x) 1/8) (sqrt 2))
(* (pow (* 1 x) 1/8) (sqrt 2))
(* (pow (* 1 x) 1/8) (sqrt 2))
(* 2 (pow (* 1 x) 1/4))
(* 2 (pow (* 1 x) 1/4))
(* 2 (pow (* 1 x) 1/4))
(* 2 (pow (* 1 x) 1/4))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow 4 1/4) x)
(* (pow 4 1/4) x)
(* (pow 4 1/4) x)
(* (pow 4 1/4) x)
(* (pow 4 1/8) x)
(* (pow 4 1/8) x)
(* (pow 4 1/8) x)
(* (pow 4 1/8) x)
(* -1 (* (pow -1 1/4) (* x (sqrt 2))))
(* -1 (* (pow -1 1/4) (* x (sqrt 2))))
(* -1 (* (pow -1 1/4) (* x (sqrt 2))))
(* -1 (* (pow -1 1/4) (* x (sqrt 2))))
(exp (* 1/8 (+ (log -1) (* -7 (log (/ -1 x))))))
(exp (* 1/8 (+ (log -1) (* -7 (log (/ -1 x))))))
(exp (* 1/8 (+ (log -1) (* -7 (log (/ -1 x))))))
(exp (* 1/8 (+ (log -1) (* -7 (log (/ -1 x))))))
(* (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x)))))) (sqrt 2))
(* (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x)))))) (sqrt 2))
(* (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x)))))) (sqrt 2))
(* (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x)))))) (sqrt 2))
(* 2 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))
(* 2 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))
(* 2 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))
(* 2 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))
(* 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))))
(* -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)
(* -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)))
(* -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))))
(* 2 (* (pow x 2) (pow (sqrt -1) 4)))
(* 2 (* (pow x 2) (pow (sqrt -1) 4)))
(* 2 (* (pow x 2) (pow (sqrt -1) 4)))
(* 2 (* (pow x 2) (pow (sqrt -1) 4)))
(* (pow x 2) (pow (sqrt -1) 4))
(* (pow x 2) (pow (sqrt -1) 4))
(* (pow x 2) (pow (sqrt -1) 4))
(* (pow x 2) (pow (sqrt -1) 4))
(* (pow 4 1/4) x)
(* (pow 4 1/4) x)
(* (pow 4 1/4) x)
(* (pow 4 1/4) x)
(* (pow 4 1/8) x)
(* (pow 4 1/8) x)
(* (pow 4 1/8) x)
(* (pow 4 1/8) x)
Outputs
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(pow (* 1 (pow x 7)) 1/8)
(pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 7)) 1/8)
(pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 7)) 1/8)
(pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 7)) 1/8)
(pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64))
(* (pow (* 1 x) 1/8) (sqrt 2))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 x) 1/8) (sqrt 2))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 x) 1/8) (sqrt 2))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 x) 1/8) (sqrt 2))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (pow (* 1 x) 1/4))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(* 2 (pow (* 1 x) 1/4))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(* 2 (pow (* 1 x) 1/4))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(* 2 (pow (* 1 x) 1/4))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* (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)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* (pow 4 1/4) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(* (pow 4 1/4) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(* (pow 4 1/4) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(* (pow 4 1/4) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(pow (* 1 (pow x 7)) 1/8)
(pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 7)) 1/8)
(pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 7)) 1/8)
(pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 7)) 1/8)
(pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64))
(* (pow (* 1 x) 1/8) (sqrt 2))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 x) 1/8) (sqrt 2))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 x) 1/8) (sqrt 2))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 x) 1/8) (sqrt 2))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (pow (* 1 x) 1/4))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(* 2 (pow (* 1 x) 1/4))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(* 2 (pow (* 1 x) 1/4))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(* 2 (pow (* 1 x) 1/4))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* (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)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* (pow 4 1/4) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(* (pow 4 1/4) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(* (pow 4 1/4) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(* (pow 4 1/4) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* -1 (* (pow -1 1/4) (* x (sqrt 2))))
(*.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -5/4 binary64)) x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* (pow -1 1/4) (* x (sqrt 2))))
(*.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -5/4 binary64)) x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* (pow -1 1/4) (* x (sqrt 2))))
(*.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -5/4 binary64)) x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* (pow -1 1/4) (* x (sqrt 2))))
(*.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -5/4 binary64)) x) (sqrt.f64 #s(literal 2 binary64)))
(exp (* 1/8 (+ (log -1) (* -7 (log (/ -1 x))))))
(pow.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 7 binary64))) #s(literal 1/8 binary64))
(exp (* 1/8 (+ (log -1) (* -7 (log (/ -1 x))))))
(pow.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 7 binary64))) #s(literal 1/8 binary64))
(exp (* 1/8 (+ (log -1) (* -7 (log (/ -1 x))))))
(pow.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 7 binary64))) #s(literal 1/8 binary64))
(exp (* 1/8 (+ (log -1) (* -7 (log (/ -1 x))))))
(pow.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 7 binary64))) #s(literal 1/8 binary64))
(* (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x)))))) (sqrt 2))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x)))))) (sqrt 2))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x)))))) (sqrt 2))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x)))))) (sqrt 2))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(* 2 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(* 2 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(* 2 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 (neg.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 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 x)))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 x)))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 x)))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 x)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -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)
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* 2 (* (pow x 2) (pow (sqrt -1) 4)))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* 2 (* (pow x 2) (pow (sqrt -1) 4)))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* 2 (* (pow x 2) (pow (sqrt -1) 4)))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* 2 (* (pow x 2) (pow (sqrt -1) 4)))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (pow (sqrt -1) 4))
(*.f64 x x)
(* (pow x 2) (pow (sqrt -1) 4))
(*.f64 x x)
(* (pow x 2) (pow (sqrt -1) 4))
(*.f64 x x)
(* (pow x 2) (pow (sqrt -1) 4))
(*.f64 x x)
(* (pow 4 1/4) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(* (pow 4 1/4) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(* (pow 4 1/4) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(* (pow 4 1/4) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)

rewrite171.0ms (1.1%)

Memory
-3.6MiB live, 236.0MiB allocated
Rules
5 820×lower-fma.f64
5 820×lower-fma.f32
4 626×lower-*.f32
4 610×lower-*.f64
1 704×prod-exp
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02380
04091
18991
223261
384260
4586260
0807660
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 1 025
Calls
Call 1
Inputs
(*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(pow.f64 x #s(literal 7/8 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(sqrt.f64 x)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
Outputs
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 3/2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 21/32 binary64)) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 7/64 binary64))) (pow.f64 x #s(literal 7/64 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 15/16 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 15/16 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 (*.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/32 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 15/16 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 x #s(literal 1/32 binary64))) (pow.f64 (*.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 15/16 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 x #s(literal 1/16 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 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 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3/16 binary64))) (pow.f64 x #s(literal 1/16 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/16 binary64))) (pow.f64 x #s(literal 3/16 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 7/32 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)) (pow.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/8 binary64))) (pow.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 7/16 binary64)))) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 7/16 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal 7/16 binary64)) (*.f64 (pow.f64 x #s(literal 7/32 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)))) (*.f64 (pow.f64 x #s(literal 7/32 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 15/16 binary64))) (pow.f64 x #s(literal 1/16 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 (*.f64 #s(literal 256 binary64) x) #s(literal 1/16 binary64))) (pow.f64 x #s(literal 1/16 binary64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 5/32 binary64)) (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)) x))
(*.f64 (*.f64 (pow.f64 x #s(literal 15/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/16 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 15/16 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (*.f64 (pow.f64 x #s(literal 1/16 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))
(*.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 7/8 binary64))) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 1/8 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal 7/32 binary64)) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 21/32 binary64)))
(*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 7/32 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 7/32 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) x))
(*.f64 (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 5/32 binary64)))
(*.f64 (pow.f64 x #s(literal 15/16 binary64)) (pow.f64 (*.f64 #s(literal 256 binary64) x) #s(literal 1/16 binary64)))
(*.f64 (pow.f64 x #s(literal 21/32 binary64)) (*.f64 (pow.f64 x #s(literal 7/32 binary64)) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 1/8 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal 21/32 binary64)) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 7/32 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 1/8 binary64))) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 7/8 binary64))))
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 5/32 binary64)) x) (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)))
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 7/32 binary64)) x) (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 7/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 9/16 binary64)))
(*.f64 (pow.f64 x #s(literal 9/16 binary64)) (*.f64 (pow.f64 x #s(literal 7/16 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)))
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 5/32 binary64)) x))
(*.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 7/16 binary64))) (*.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 7/16 binary64))) (pow.f64 x #s(literal 1/8 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal 7/32 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 7/32 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 7/16 binary64))))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 7/32 binary64)) x)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) x)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 15/16 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))))
(*.f64 (pow.f64 x #s(literal 7/64 binary64)) (*.f64 (pow.f64 x #s(literal 7/64 binary64)) (*.f64 (pow.f64 x #s(literal 21/32 binary64)) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 1/8 binary64)))))
(*.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x))))
(*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/32 binary64)) (*.f64 (pow.f64 x #s(literal 15/16 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))))
(*.f64 (pow.f64 x #s(literal 1/32 binary64)) (*.f64 (pow.f64 x #s(literal 1/32 binary64)) (*.f64 (pow.f64 x #s(literal 15/16 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
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(pow.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (fma.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64) (fma.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/16 binary64) (log.f64 (sqrt.f64 x)))))
(exp.f64 (+.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (log.f64 x) #s(literal 7/8 binary64))) (*.f64 (log.f64 x) #s(literal 1/8 binary64))))
(exp.f64 (+.f64 (fma.f64 (fma.f64 (log.f64 x) #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal 7/16 binary64) (log.f64 x))) (*.f64 #s(literal 7/16 binary64) (log.f64 x))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/8 binary64) (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (log.f64 x) #s(literal 7/8 binary64)))))
(exp.f64 (fma.f64 #s(literal 7/16 binary64) (log.f64 x) (fma.f64 (fma.f64 (log.f64 x) #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal 7/16 binary64) (log.f64 x)))))
(exp.f64 (fma.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/8 binary64) (log.f64 x)))
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (log.f64 x)))
(exp.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(exp.f64 (*.f64 (fma.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/16 binary64) (log.f64 (sqrt.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (fma.f64 (fma.f64 (log.f64 x) #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (*.f64 (log.f64 x) #s(literal 7/8 binary64))))
(*.f64 (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (/.f64 (log.f64 #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (/.f64 (log.f64 #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64)) (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (/.f64 (log.f64 #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 #s(literal 16 binary64))) #s(literal 1/16 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/8 binary64)) (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal 1/8 binary64)) (log.f64 #s(literal 4 binary64)))
(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) #s(literal 4 binary64))
(pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))
(pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 #s(literal 16 binary64)))) #s(literal 1/16 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/8 binary64))) (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 256 binary64)) #s(literal 1/32 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) (log.f64 #s(literal 16 binary64))) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/8 binary64))) (log.f64 #s(literal 4 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(*.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))))
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)))
(*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal 15/16 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 x #s(literal 1/16 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 7/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) x) (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)))
(*.f64 (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)))
(*.f64 (pow.f64 x #s(literal 15/16 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 7/8 binary64)))
(*.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) x))
(*.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 7/16 binary64))) (pow.f64 x #s(literal 9/16 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64)) (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)) x)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) x))
(*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))
(*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) x)
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)) x))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 7/8 binary64))))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x))
(*.f64 (pow.f64 x #s(literal 7/16 binary64)) (*.f64 (pow.f64 x #s(literal 9/16 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))))
(*.f64 (pow.f64 x #s(literal 7/8 binary64)) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 1/8 binary64))))
(*.f64 x (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))
(pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/16 binary64) (log.f64 x)))

eval185.0ms (1.2%)

Memory
16.2MiB live, 325.8MiB allocated
Compiler

Compiled 16 281 to 2 125 computations (86.9% saved)

prune91.0ms (0.6%)

Memory
6.2MiB live, 199.5MiB allocated
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1 31041 314
Fresh202
Picked235
Done011
Total1 31481 322
Accuracy
100.0%
Counts
1 322 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.1%
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
▶99.6%
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x))
▶99.0%
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
▶99.0%
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x))
✓99.4%
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
✓99.3%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓50.7%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))
✓51.0%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
Compiler

Compiled 59 to 51 computations (13.6% saved)

simplify6.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
cost-diff0
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
cost-diff6464
(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64))
cost-diff0
(pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))
cost-diff0
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x)
cost-diff0
(pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))
cost-diff0
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
cost-diff1600
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
cost-diff0
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
cost-diff0
(sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x))
cost-diff1600
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))
Rules
126×lower-*.f32
110×lower-*.f64
54×*-commutative
52×associate-*r*
36×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02297
03797
15093
26877
37577
49877
512977
012977
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x))
(sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(sqrt.f64 x)
x
#s(literal 2 binary64)
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 x)
x
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x))
(pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))
#s(literal 16 binary64)
#s(literal 1/32 binary64)
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x)
(pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))
#s(literal 64 binary64)
#s(literal 1/16 binary64)
x
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
#s(literal 256 binary64)
#s(literal 1/32 binary64)
#s(literal 2 binary64)
x
Outputs
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
(sqrt.f64 x)
x
#s(literal 2 binary64)
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(sqrt.f64 x)
x
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x))
(*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)))
(pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))
#s(literal 16 binary64)
#s(literal 1/32 binary64)
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x)
(pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))
#s(literal 64 binary64)
#s(literal 1/16 binary64)
x
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
(*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)) x)
(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64))
(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
#s(literal 256 binary64)
#s(literal 1/32 binary64)
#s(literal 2 binary64)
x

localize123.0ms (0.8%)

Memory
-53.7MiB live, 46.3MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0
(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
accuracy0.44140625
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
accuracy1.0
(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64))
accuracy0
(pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))
accuracy0
(pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))
accuracy0.12890625
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x)
accuracy0.2890625
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x))
accuracy0
(sqrt.f64 x)
accuracy0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.36328125
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
accuracy0.47007753907376815
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
accuracy0
(sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)))
accuracy0
(sqrt.f64 x)
accuracy0.36328125
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x))
accuracy0.55859375
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))
Samples
76.0ms256×0valid
Compiler

Compiled 99 to 24 computations (75.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 11.0ms (38.8% of total)
ival-pow: 9.0ms (31.7% of total)
ival-sqrt: 5.0ms (17.6% of total)
ival-pow2: 2.0ms (7.1% of total)
exact: 1.0ms (3.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.9s (52.8%)

Memory
25.6MiB live, 200.0MiB allocated
Counts
15 → 120
Calls
Call 1
Inputs
#s(alt (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (patch (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) (patch (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(literal 2 binary64)) (patch (sqrt.f64 #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x)) (patch (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x)) #<representation binary64>) () ())
#s(alt (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (patch (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x) (patch (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x) #<representation binary64>) () ())
#s(alt (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (patch (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) #<representation binary64>) () ())
#s(alt (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (patch (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt x)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (patch (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt x)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (patch (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt x)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (patch (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt x)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (patch (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) (patch (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) (patch (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) (patch (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) (patch (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* (pow 16 1/32) (* (pow 64 1/16) x)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x)) (patch (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow 16 1/32) (* (pow 64 1/16) x)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x)) (patch (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow 16 1/32) (* (pow 64 1/16) x)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x)) (patch (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow 16 1/32) (* (pow 64 1/16) x)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x)) (patch (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow 64 1/16) x) (taylor 0 x) (#s(alt (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x) (patch (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow 64 1/16) x) (taylor 0 x) (#s(alt (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x) (patch (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow 64 1/16) x) (taylor 0 x) (#s(alt (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x) (patch (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow 64 1/16) x) (taylor 0 x) (#s(alt (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x) (patch (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow 256 1/16) x) (taylor 0 x) (#s(alt (*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow 256 1/16) x) (taylor 0 x) (#s(alt (*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow 256 1/16) x) (taylor 0 x) (#s(alt (*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow 256 1/16) x) (taylor 0 x) (#s(alt (*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt x)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (patch (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt x)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (patch (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt x)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (patch (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt x)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (patch (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) (patch (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) (patch (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) (patch (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) (patch (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* (pow 16 1/32) (* (pow 64 1/16) x)) (taylor inf x) (#s(alt (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x)) (patch (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x)) #<representation binary64>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
6.4s
x
@inf
((* (* (sqrt x) 2) (sqrt x)) (* (sqrt (* (* (sqrt x) 2) (sqrt x))) (sqrt x)) (sqrt (* (* (sqrt x) 2) (sqrt x))) (* (sqrt x) 2) (* (* (sqrt x) (sqrt 2)) (sqrt x)) (* (sqrt x) (sqrt 2)) (sqrt x) (sqrt 2) (* (pow 16 1/32) (* (pow 64 1/16) x)) (pow 16 1/32) (* (pow 64 1/16) x) (pow 64 1/16) (pow (pow 256 1/32) 2) (* (pow (pow 256 1/32) 2) x) (pow 256 1/32))
72.0ms
x
@0
((* (* (sqrt x) 2) (sqrt x)) (* (sqrt (* (* (sqrt x) 2) (sqrt x))) (sqrt x)) (sqrt (* (* (sqrt x) 2) (sqrt x))) (* (sqrt x) 2) (* (* (sqrt x) (sqrt 2)) (sqrt x)) (* (sqrt x) (sqrt 2)) (sqrt x) (sqrt 2) (* (pow 16 1/32) (* (pow 64 1/16) x)) (pow 16 1/32) (* (pow 64 1/16) x) (pow 64 1/16) (pow (pow 256 1/32) 2) (* (pow (pow 256 1/32) 2) x) (pow 256 1/32))
29.0ms
x
@-inf
((* (* (sqrt x) 2) (sqrt x)) (* (sqrt (* (* (sqrt x) 2) (sqrt x))) (sqrt x)) (sqrt (* (* (sqrt x) 2) (sqrt x))) (* (sqrt x) 2) (* (* (sqrt x) (sqrt 2)) (sqrt x)) (* (sqrt x) (sqrt 2)) (sqrt x) (sqrt 2) (* (pow 16 1/32) (* (pow 64 1/16) x)) (pow 16 1/32) (* (pow 64 1/16) x) (pow 64 1/16) (pow (pow 256 1/32) 2) (* (pow (pow 256 1/32) 2) x) (pow 256 1/32))

simplify149.0ms (1%)

Memory
52.3MiB live, 71.6MiB allocated
Algorithm
1×egg-herbie
Rules
1 882×associate-*r*
1 712×lower-*.f64
1 712×lower-fma.f64
1 712×lower-fma.f32
1 712×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033552
167552
2158552
3332552
41069552
51781552
62482552
72607552
82672552
92729552
102747552
113141552
123301552
133301552
143301552
153301552
163301552
173753552
184718552
194734552
04734552
Stop Event
1×iter limit
1×saturated
Counts
120 → 120
Calls
Call 1
Inputs
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* (pow 16 1/32) (* (pow 64 1/16) x))
(* (pow 16 1/32) (* (pow 64 1/16) x))
(* (pow 16 1/32) (* (pow 64 1/16) x))
(* (pow 16 1/32) (* (pow 64 1/16) x))
(* (pow 64 1/16) x)
(* (pow 64 1/16) x)
(* (pow 64 1/16) x)
(* (pow 64 1/16) x)
(* (pow 256 1/16) x)
(* (pow 256 1/16) x)
(* (pow 256 1/16) x)
(* (pow 256 1/16) x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* (pow 16 1/32) (* (pow 64 1/16) x))
(* (pow 16 1/32) (* (pow 64 1/16) x))
(* (pow 16 1/32) (* (pow 64 1/16) x))
(* (pow 16 1/32) (* (pow 64 1/16) x))
(* (pow 64 1/16) x)
(* (pow 64 1/16) x)
(* (pow 64 1/16) x)
(* (pow 64 1/16) x)
(* (pow 256 1/16) x)
(* (pow 256 1/16) x)
(* (pow 256 1/16) x)
(* (pow 256 1/16) x)
(* -2 (* x (pow (sqrt -1) 2)))
(* -2 (* x (pow (sqrt -1) 2)))
(* -2 (* x (pow (sqrt -1) 2)))
(* -2 (* x (pow (sqrt -1) 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))))
(* -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))))
(* -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)))
(* -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))))
(* -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))))
(* -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 16 1/32) (* (pow 64 1/16) x))
(* (pow 16 1/32) (* (pow 64 1/16) x))
(* (pow 16 1/32) (* (pow 64 1/16) x))
(* (pow 16 1/32) (* (pow 64 1/16) x))
(* (pow 64 1/16) x)
(* (pow 64 1/16) x)
(* (pow 64 1/16) x)
(* (pow 64 1/16) x)
(* (pow 256 1/16) x)
(* (pow 256 1/16) x)
(* (pow 256 1/16) x)
(* (pow 256 1/16) x)
Outputs
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* (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)))
(* 2 (sqrt x))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
(* 2 (sqrt x))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
(* 2 (sqrt x))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
(* 2 (sqrt x))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* (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.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* (pow 16 1/32) (* (pow 64 1/16) x))
(*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)))
(* (pow 16 1/32) (* (pow 64 1/16) x))
(*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)))
(* (pow 16 1/32) (* (pow 64 1/16) x))
(*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)))
(* (pow 16 1/32) (* (pow 64 1/16) x))
(*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)))
(* (pow 64 1/16) x)
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x)
(* (pow 64 1/16) x)
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x)
(* (pow 64 1/16) x)
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x)
(* (pow 64 1/16) x)
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x)
(* (pow 256 1/16) x)
(*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)) x)
(* (pow 256 1/16) x)
(*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)) x)
(* (pow 256 1/16) x)
(*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)) x)
(* (pow 256 1/16) x)
(*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* (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)))
(* 2 (sqrt x))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
(* 2 (sqrt x))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
(* 2 (sqrt x))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
(* 2 (sqrt x))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* (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.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* (pow 16 1/32) (* (pow 64 1/16) x))
(*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)))
(* (pow 16 1/32) (* (pow 64 1/16) x))
(*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)))
(* (pow 16 1/32) (* (pow 64 1/16) x))
(*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)))
(* (pow 16 1/32) (* (pow 64 1/16) x))
(*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)))
(* (pow 64 1/16) x)
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x)
(* (pow 64 1/16) x)
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x)
(* (pow 64 1/16) x)
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x)
(* (pow 64 1/16) x)
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x)
(* (pow 256 1/16) x)
(*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)) x)
(* (pow 256 1/16) x)
(*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)) x)
(* (pow 256 1/16) x)
(*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)) x)
(* (pow 256 1/16) x)
(*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)) x)
(* -2 (* x (pow (sqrt -1) 2)))
(*.f64 #s(literal 2 binary64) x)
(* -2 (* x (pow (sqrt -1) 2)))
(*.f64 #s(literal 2 binary64) x)
(* -2 (* x (pow (sqrt -1) 2)))
(*.f64 #s(literal 2 binary64) x)
(* -2 (* x (pow (sqrt -1) 2)))
(*.f64 #s(literal 2 binary64) x)
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -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)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -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)))
(* -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 16 1/32) (* (pow 64 1/16) x))
(*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)))
(* (pow 16 1/32) (* (pow 64 1/16) x))
(*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)))
(* (pow 16 1/32) (* (pow 64 1/16) x))
(*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)))
(* (pow 16 1/32) (* (pow 64 1/16) x))
(*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)))
(* (pow 64 1/16) x)
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x)
(* (pow 64 1/16) x)
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x)
(* (pow 64 1/16) x)
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x)
(* (pow 64 1/16) x)
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x)
(* (pow 256 1/16) x)
(*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)) x)
(* (pow 256 1/16) x)
(*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)) x)
(* (pow 256 1/16) x)
(*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)) x)
(* (pow 256 1/16) x)
(*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)) x)

rewrite257.0ms (1.7%)

Memory
-33.8MiB live, 148.3MiB allocated
Rules
2 792×lower-*.f32
2 780×lower-*.f64
1 352×unpow-prod-down
1 280×lower-fma.f64
1 280×lower-fma.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02282
03789
18889
223947
382347
4487137
0814537
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 821
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x))
(sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 x)
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x))
(pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x)
(pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))
(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
Outputs
(*.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 3/4 binary64) (log.f64 #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (exp.f64 (fma.f64 (log.f64 x) #s(literal 3/4 binary64) (log.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(*.f64 x #s(literal 2 binary64))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 3/4 binary64)))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 3/4 binary64))) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (*.f64 x (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64))) #s(literal 1 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64)))
(*.f64 (pow.f64 (*.f64 x (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64))) #s(literal 1 binary64)) (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)))
(*.f64 (pow.f64 (*.f64 x (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64))) #s(literal 1 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 7/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 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 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64))) (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64)))
(*.f64 (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) x) #s(literal 1 binary64))
(*.f64 (*.f64 x (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64))) (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)))
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(*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))
(*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/4 binary64))))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64)) x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 1 binary64)) (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (pow.f64 (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) x))
(*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (*.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) x) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) x))
(*.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 x #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (sqrt.f64 x)) (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64))) (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64)) (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (sqrt.f64 x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64)) (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64)) (*.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (sqrt.f64 x))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x x)) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) x)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) x) x) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) x)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))
(pow.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)))
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
(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 (log.f64 x) #s(literal 1/4 binary64) (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (log.f64 x) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 #s(literal 4 binary64)) (log.f64 (sqrt.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (+.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (+.f64 (log.f64 x) #s(literal 0 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (sqrt.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (log.f64 x)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 #s(literal 0 binary64) (log.f64 x)))
(exp.f64 (+.f64 (log.f64 x) #s(literal 0 binary64)))
#s(literal 1 binary64)

eval153.0ms (1%)

Memory
-15.7MiB live, 311.8MiB allocated
Compiler

Compiled 13 211 to 1 151 computations (91.3% saved)

prune249.0ms (1.7%)

Memory
13.0MiB live, 173.6MiB allocated
Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New1 13211 133
Fresh000
Picked044
Done044
Total1 13291 141
Accuracy
100.0%
Counts
1 141 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.1%
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
✓99.6%
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x))
✓99.0%
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
✓99.0%
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x))
✓99.4%
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
✓99.3%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
▶20.3%
(*.f64 x #s(literal 1 binary64))
✓50.7%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))
✓51.0%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
Compiler

Compiled 62 to 54 computations (12.9% saved)

simplify3.0ms (0%)

Memory
4.9MiB live, 4.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
cost-diff320
(*.f64 x #s(literal 1 binary64))
Rules
4×lower-*.f32
2×*-commutative
2×lower-*.f64
2×*-rgt-identity
2×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035
043
173
283
083
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
Outputs
(*.f64 x #s(literal 1 binary64))
x
x
#s(literal 1 binary64)

localize12.0ms (0.1%)

Memory
-21.9MiB live, 18.6MiB allocated
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x #s(literal 1 binary64))
Samples
9.0ms256×0valid
Compiler

Compiled 7 to 5 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult: 2.0ms (96.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Counts
1 → 12
Calls
Call 1
Inputs
#s(alt (*.f64 x #s(literal 1 binary64)) (patch (*.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 x) (#s(alt (*.f64 x #s(literal 1 binary64)) (patch (*.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (*.f64 x #s(literal 1 binary64)) (patch (*.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (*.f64 x #s(literal 1 binary64)) (patch (*.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (*.f64 x #s(literal 1 binary64)) (patch (*.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (*.f64 x #s(literal 1 binary64)) (patch (*.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (*.f64 x #s(literal 1 binary64)) (patch (*.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (*.f64 x #s(literal 1 binary64)) (patch (*.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (*.f64 x #s(literal 1 binary64)) (patch (*.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (*.f64 x #s(literal 1 binary64)) (patch (*.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (*.f64 x #s(literal 1 binary64)) (patch (*.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (*.f64 x #s(literal 1 binary64)) (patch (*.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (*.f64 x #s(literal 1 binary64)) (patch (*.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
Calls

3 calls:

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

simplify2.0ms (0%)

Memory
4.0MiB live, 4.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112
0112
Stop Event
1×saturated
1×saturated
Counts
12 → 0
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
Outputs
x
x
x
x
x
x
x
x
x
x
x
x

rewrite6.0ms (0%)

Memory
13.5MiB live, 13.5MiB allocated
Rules
4×lower-*.f32
2×lower-*.f64
2×*-rgt-identity
2×*-commutative
2×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033
041
171
281
081
Stop Event
1×iter limit
1×saturated
1×iter limit
Counts
1 → 3
Calls
Call 1
Inputs
(*.f64 x #s(literal 1 binary64))
Outputs
(*.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 1 binary64))
x

eval0.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Compiler

Compiled 7 to 4 computations (42.9% saved)

prune8.0ms (0.1%)

Memory
-20.7MiB live, 18.3MiB allocated
Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New213
Fresh000
Picked101
Done088
Total3912
Accuracy
100.0%
Counts
12 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.1%
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
✓99.6%
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x))
✓99.0%
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
✓99.0%
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x))
✓99.4%
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
✓99.3%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓50.7%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))
✓51.0%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
20.3%
x
Compiler

Compiled 159 to 105 computations (34% saved)

regimes19.0ms (0.1%)

Memory
3.2MiB live, 41.9MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x))
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
Outputs
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x))
Calls

4 calls:

5.0ms
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
5.0ms
x
4.0ms
(*.f64 #s(literal 2 binary64) (*.f64 x x))
4.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
99.6%1x
99.6%1(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
99.6%1(*.f64 #s(literal 2 binary64) (*.f64 x x))
99.6%1(*.f64 x x)
Compiler

Compiled 15 to 12 computations (20% saved)

regimes15.0ms (0.1%)

Memory
-9.2MiB live, 29.8MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
Outputs
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
Calls

4 calls:

4.0ms
x
3.0ms
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
3.0ms
(*.f64 x x)
3.0ms
(*.f64 #s(literal 2 binary64) (*.f64 x x))
Results
AccuracySegmentsBranch
99.4%1x
99.4%1(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
99.4%1(*.f64 #s(literal 2 binary64) (*.f64 x x))
99.4%1(*.f64 x x)
Compiler

Compiled 15 to 12 computations (20% saved)

regimes8.0ms (0.1%)

Memory
21.2MiB live, 21.2MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
Outputs
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
Calls

4 calls:

2.0ms
x
2.0ms
(*.f64 #s(literal 2 binary64) (*.f64 x x))
2.0ms
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
99.3%1x
99.3%1(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
99.3%1(*.f64 #s(literal 2 binary64) (*.f64 x x))
99.3%1(*.f64 x x)
Compiler

Compiled 15 to 12 computations (20% saved)

regimes8.0ms (0.1%)

Memory
-25.0MiB live, 16.7MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

4 calls:

3.0ms
x
1.0ms
(*.f64 x x)
1.0ms
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
1.0ms
(*.f64 #s(literal 2 binary64) (*.f64 x x))
Results
AccuracySegmentsBranch
20.3%1x
20.3%1(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
20.3%1(*.f64 #s(literal 2 binary64) (*.f64 x x))
20.3%1(*.f64 x x)
Compiler

Compiled 15 to 12 computations (20% saved)

simplify23.0ms (0.2%)

Memory
24.7MiB live, 63.9MiB allocated
Algorithm
1×egg-herbie
Rules
10×*-commutative-binary64-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01621
12121
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
x
Outputs
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x))
(*.f64 (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
x

soundness3.9s (26.1%)

Memory
-5.4MiB live, 389.5MiB allocated
Rules
6 020×lower-fma.f64
6 020×lower-fma.f32
5 820×lower-fma.f64
5 820×lower-fma.f32
4 626×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0514
0814
11713
24612
312312
458012
5391412
0817912
02282
03789
18889
223947
382347
4487137
0814537
02380
04091
18991
223261
384260
4586260
0807660
033
041
171
281
081
Stop Event
1×fuel
1×iter limit
1×saturated
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 85 to 59 computations (30.6% saved)

preprocess50.0ms (0.3%)

Memory
6.0MiB live, 86.4MiB allocated
Compiler

Compiled 108 to 96 computations (11.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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