sqrt B (should all be same)

Time bar (total: 6.9s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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)

sample624.0ms (9%)

Memory
-14.1MiB live, 937.9MiB allocated
Samples
438.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 212.0ms
ival-mult: 126.0ms (59.4% of total)
ival-sqrt: 73.0ms (34.4% of total)
ival-true: 5.0ms (2.4% of total)
exact: 4.0ms (1.9% of total)
ival-assert: 3.0ms (1.4% of total)
Bogosity

explain74.0ms (1.1%)

Memory
-8.1MiB live, 75.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1330-4(3.0393747896172056e-162)(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
00-0-#s(literal 2 binary64)
00-0-(*.f64 (*.f64 #s(literal 2 binary64) x) x)
00-0-(*.f64 #s(literal 2 binary64) x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))oflow-rescue670
↳(*.f64 (*.f64 #s(literal 2 binary64) x) x)overflow67
sqrt.f64(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))uflow-rescue620
↳(*.f64 (*.f64 #s(literal 2 binary64) x) x)underflow62
Confusion
Predicted +Predicted -
+1294
-0123
Precision
1.0
Recall
0.9699248120300752
Confusion?
Predicted +Predicted MaybePredicted -
+12904
-00123
Precision?
1.0
Recall?
0.9699248120300752
Freqs
test
numberfreq
0127
1129
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
22.0ms512×0valid
Compiler

Compiled 43 to 19 computations (55.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 7.0ms (60.4% of total)
ival-sqrt: 4.0ms (34.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess16.0ms (0.2%)

Memory
20.2MiB live, 20.2MiB allocated
Algorithm
1×egg-herbie
Rules
30×associate-*r*
28×distribute-rgt-neg-in
28×associate-*l*
24×distribute-lft-neg-in
24×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
12113
26213
314913
421413
523113
623313
056
086
1126
2136
0136
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
Outputs
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
(sqrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)))
Symmetry

(abs x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶52.2%
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify4.0ms (0.1%)

Memory
4.4MiB live, 4.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0516
0816
11216
21316
01316
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
Outputs
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
(sqrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)))
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
(*.f64 x (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x

localize33.0ms (0.5%)

Memory
-13.7MiB live, 23.5MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
accuracy0
(*.f64 #s(literal 2 binary64) x)
accuracy30.61950752802547
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
Samples
12.0ms256×0valid
Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (53.3% of total)
ival-sqrt: 2.0ms (35.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
4.9MiB live, 4.9MiB allocated
Counts
3 → 36
Calls
Call 1
Inputs
#s(alt (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())
Outputs
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
Calls

9 calls:

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

simplify7.0ms (0.1%)

Memory
7.8MiB live, 7.8MiB allocated
Algorithm
1×egg-herbie
Rules
38×lower-*.f64
38×lower-fma.f64
38×lower-fma.f32
38×lower-*.f32
36×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite264.0ms (3.8%)

Memory
-1.4MiB live, 436.6MiB allocated
Rules
5 230×lower-*.f32
5 226×lower-*.f64
3 666×lower-/.f64
3 666×lower-/.f32
3 090×lower-fma.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0514
0814
11714
23813
39212
433812
5207412
0867212
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
3 → 118
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
(*.f64 #s(literal 2 binary64) x)
Outputs
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/8 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))))) #s(literal 1/8 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64))))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 x (*.f64 #s(literal 2 binary64) x))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (log.f64 (/.f64 x (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) x)))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) x)))))
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1 binary64)))
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(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 7/16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/16 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 x))))
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(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1 binary64)))
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(/.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 x (*.f64 #s(literal 2 binary64) x))))) (exp.f64 (/.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (log.f64 (/.f64 x (*.f64 #s(literal 2 binary64) x))))))
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(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))
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(*.f64 x #s(literal 2 binary64))
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eval19.0ms (0.3%)

Memory
0.6MiB live, 38.0MiB allocated
Compiler

Compiled 2 116 to 350 computations (83.5% saved)

prune33.0ms (0.5%)

Memory
-9.3MiB live, 70.5MiB allocated
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1468154
Fresh000
Picked011
Done000
Total1469155
Accuracy
100.0%
Counts
155 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
▶99.5%
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
▶67.6%
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
60.4%
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
▶68.1%
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
68.0%
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
▶99.5%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
▶99.4%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓52.2%
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
Compiler

Compiled 199 to 131 computations (34.2% saved)

simplify18.0ms (0.3%)

Memory
-9.6MiB live, 27.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
cost-diff0
(pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))
cost-diff320
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
cost-diff19072
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 x))))
cost-diff0
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
cost-diff2880
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))
cost-diff0
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
Rules
502×lower-*.f32
478×lower-*.f64
310×associate-*r*
162×associate-*l*
116×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025158
046149
167143
2104141
3140141
4146141
5210141
6412141
7434141
0434141
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(sqrt.f64 x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(sqrt.f64 x)
(sqrt.f64 (sqrt.f64 x))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 x (sqrt.f64 x)))
(*.f64 x (sqrt.f64 x))
x
(sqrt.f64 x)
(sqrt.f64 (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (sqrt.f64 x))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
(pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))
#s(literal 2 binary64)
#s(literal 1/8 binary64)
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
x
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
Outputs
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(sqrt.f64 x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(sqrt.f64 x)
(sqrt.f64 (sqrt.f64 x))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 x))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 x (sqrt.f64 x)))
(*.f64 x (sqrt.f64 x))
x
(sqrt.f64 x)
(sqrt.f64 (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (sqrt.f64 x))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))
#s(literal 2 binary64)
#s(literal 1/8 binary64)
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 x (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) #s(literal 3 binary64)))
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
x
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)

localize95.0ms (1.4%)

Memory
24.8MiB live, 138.5MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))
accuracy0.234375
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
accuracy0.23828125
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
accuracy0.29296875
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
accuracy0.31087875976844204
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
accuracy0.38119125976844204
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
accuracy0.4733200195368841
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 x))))
accuracy20.780176330735998
(sqrt.f64 (*.f64 x (sqrt.f64 x)))
accuracy0.15234375
(*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))
accuracy0.15234375
(sqrt.f64 (sqrt.f64 x))
accuracy0.33984375
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
accuracy20.73485172591003
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))
accuracy0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.37890625
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
accuracy0
(*.f64 #s(literal 2 binary64) x)
accuracy0
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
accuracy0
(sqrt.f64 x)
accuracy0.328125
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
Samples
66.0ms256×0valid
Compiler

Compiled 160 to 27 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 17.0ms (45.8% of total)
ival-sqrt: 13.0ms (35% of total)
ival-pow: 7.0ms (18.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series283.0ms (4.1%)

Memory
26.2MiB live, 532.2MiB allocated
Counts
18 → 192
Calls
Call 1
Inputs
#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(literal 2 binary64)) (patch (sqrt.f64 #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (patch (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) (patch (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))) (patch (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (patch (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) #<representation binary64>) () ())
#s(alt (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (patch (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (patch (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 x (sqrt.f64 x))) #<representation binary64>) () ())
Outputs
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
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#s(alt (* (pow 2 1/4) x) (taylor 0 x) (#s(alt (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (patch (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 2 1/4) x) (taylor 0 x) (#s(alt (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (patch (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 2 1/4) x) (taylor 0 x) (#s(alt (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (patch (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 2 1/4) x) (taylor inf x) (#s(alt (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (patch (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 2 1/4) x) (taylor inf x) (#s(alt (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (patch (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 2 1/4) x) (taylor inf x) (#s(alt (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (patch (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 2 1/4) x) (taylor inf x) (#s(alt (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (patch (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 2 1/4) x) (taylor -inf x) (#s(alt (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (patch (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 2 1/4) x) (taylor -inf x) (#s(alt (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (patch (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 2 1/4) x) (taylor -inf x) (#s(alt (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (patch (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 2 1/4) x) (taylor -inf x) (#s(alt (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (patch (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/4) (taylor 0 x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/4) (taylor 0 x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/4) (taylor 0 x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/4) (taylor 0 x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/4) (taylor inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/4) (taylor inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/4) (taylor inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/4) (taylor inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) (taylor -inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) (taylor -inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) (taylor -inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) (taylor -inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
Calls

48 calls:

TimeVariablePointExpression
55.0ms
x
@0
(* (* (* (sqrt 2) (sqrt (* x (sqrt x)))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))
43.0ms
x
@0
(sqrt (* (* 2 x) (sqrt x)))
34.0ms
x
@0
(* (pow 2 1/8) (* (pow 2 1/8) (* x (pow 2 1/4))))
29.0ms
x
@-inf
(* (* (sqrt 2) (sqrt (* x (sqrt x)))) (sqrt (sqrt (sqrt x))))
23.0ms
x
@0
(* x (pow 2 1/4))

simplify1.0s (14.8%)

Memory
-3.8MiB live, 1 029.9MiB allocated
Algorithm
1×egg-herbie
Rules
40 556×lower-fma.f64
40 556×lower-fma.f32
4 640×lower-*.f64
4 640×lower-*.f32
2 656×lower-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0691124
11421124
23631116
36011116
48841116
515981116
622241116
725321116
827511116
929071116
1029801116
1136101116
1238911116
1339041116
1439121116
1539191116
1639261116
1739361116
1839361116
1939361116
2039561116
2139641116
2239641116
2347681116
080621116
Stop Event
1×iter limit
1×node limit
Counts
192 → 192
Calls
Call 1
Inputs
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 7)) 1/4) (sqrt 2)))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 7)) 1/4) (sqrt 2)))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 7)) 1/4) (sqrt 2)))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 7)) 1/4) (sqrt 2)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(* (pow 16 1/8) x)
(* (pow 16 1/8) x)
(* (pow 16 1/8) x)
(* (pow 16 1/8) x)
(* (pow 16 1/8) x)
(* (pow 16 1/8) x)
(* (pow 16 1/8) x)
(* (pow 16 1/8) x)
(* (pow 16 1/8) x)
(* (pow 16 1/8) x)
(* (pow 16 1/8) x)
(* (pow 16 1/8) x)
(* (pow 8 1/8) x)
(* (pow 8 1/8) x)
(* (pow 8 1/8) x)
(* (pow 8 1/8) x)
(* (pow 8 1/8) x)
(* (pow 8 1/8) x)
(* (pow 8 1/8) x)
(* (pow 8 1/8) x)
(* (pow 8 1/8) x)
(* (pow 8 1/8) x)
(* (pow 8 1/8) x)
(* (pow 8 1/8) x)
(* (pow 2 1/4) x)
(* (pow 2 1/4) x)
(* (pow 2 1/4) x)
(* (pow 2 1/4) x)
(* (pow 2 1/4) x)
(* (pow 2 1/4) x)
(* (pow 2 1/4) x)
(* (pow 2 1/4) x)
(* (pow 2 1/4) x)
(* (pow 2 1/4) x)
(* (pow 2 1/4) x)
(* (pow 2 1/4) x)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
Outputs
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 x (neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 x (neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 x (neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 x (neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 x (neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 x (neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 x (neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 x (neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(*.f64 (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(*.f64 (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(*.f64 (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(*.f64 (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* 2 (sqrt (pow x 3)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))
(* 2 (sqrt (pow x 3)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))
(* 2 (sqrt (pow x 3)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))
(* 2 (sqrt (pow x 3)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))
(* 2 (sqrt (pow x 3)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))
(* 2 (sqrt (pow x 3)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))
(* 2 (sqrt (pow x 3)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))
(* 2 (sqrt (pow x 3)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 7)) 1/4) (sqrt 2)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64)) #s(literal 1/4 binary64))))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 7)) 1/4) (sqrt 2)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64)) #s(literal 1/4 binary64))))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 7)) 1/4) (sqrt 2)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64)) #s(literal 1/4 binary64))))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 7)) 1/4) (sqrt 2)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64)) #s(literal 1/4 binary64))))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(*.f64 (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(*.f64 (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(*.f64 (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(*.f64 (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
(* (pow 16 1/8) x)
(*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))
(* (pow 16 1/8) x)
(*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))
(* (pow 16 1/8) x)
(*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))
(* (pow 16 1/8) x)
(*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))
(* (pow 16 1/8) x)
(*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))
(* (pow 16 1/8) x)
(*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))
(* (pow 16 1/8) x)
(*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))
(* (pow 16 1/8) x)
(*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))
(* (pow 16 1/8) x)
(*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))
(* (pow 16 1/8) x)
(*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))
(* (pow 16 1/8) x)
(*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))
(* (pow 16 1/8) x)
(*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))
(* (pow 8 1/8) x)
(*.f64 x (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)))
(* (pow 8 1/8) x)
(*.f64 x (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)))
(* (pow 8 1/8) x)
(*.f64 x (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)))
(* (pow 8 1/8) x)
(*.f64 x (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)))
(* (pow 8 1/8) x)
(*.f64 x (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)))
(* (pow 8 1/8) x)
(*.f64 x (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)))
(* (pow 8 1/8) x)
(*.f64 x (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)))
(* (pow 8 1/8) x)
(*.f64 x (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)))
(* (pow 8 1/8) x)
(*.f64 x (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)))
(* (pow 8 1/8) x)
(*.f64 x (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)))
(* (pow 8 1/8) x)
(*.f64 x (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)))
(* (pow 8 1/8) x)
(*.f64 x (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)))
(* (pow 2 1/4) x)
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(* (pow 2 1/4) x)
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(* (pow 2 1/4) x)
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(* (pow 2 1/4) x)
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(* (pow 2 1/4) x)
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(* (pow 2 1/4) x)
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(* (pow 2 1/4) x)
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(* (pow 2 1/4) x)
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(* (pow 2 1/4) x)
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(* (pow 2 1/4) x)
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(* (pow 2 1/4) x)
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(* (pow 2 1/4) x)
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(*.f64 (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(*.f64 (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(*.f64 (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(*.f64 (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))

rewrite179.0ms (2.6%)

Memory
20.5MiB live, 254.6MiB allocated
Rules
2 080×lower-*.f32
2 056×lower-*.f64
1 470×lower-fma.f64
1 470×lower-fma.f32
878×lower-pow.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025123
04699
19693
225072
3100672
0361372
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
18 → 748
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(sqrt.f64 x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 (*.f64 x (sqrt.f64 x)))
Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
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(*.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 3/16 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/32 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 7/16 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/32 binary64)))
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(*.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 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)))
(fabs.f64 (sqrt.f64 (sqrt.f64 x)))
(fabs.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))))
(sqrt.f64 (sqrt.f64 x))
(pow.f64 x #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/8 binary64))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 x))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/8 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (fabs.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))
(*.f64 (pow.f64 x #s(literal 1/32 binary64)) (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/32 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) #s(literal 1 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (fabs.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 x) #s(literal 3/4 binary64))) #s(literal 2 binary64)))
(fabs.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(sqrt.f64 (*.f64 x (sqrt.f64 x)))
(pow.f64 x #s(literal 3/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 6 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/8 binary64))
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) #s(literal 3/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) #s(literal 3/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 3/4 binary64)) (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 3/4 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 3/4 binary64)) (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) #s(literal 3/4 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) #s(literal 3/4 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) #s(literal 3 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))

eval217.0ms (3.1%)

Memory
14.2MiB live, 410.5MiB allocated
Compiler

Compiled 21 033 to 1 847 computations (91.2% saved)

prune131.0ms (1.9%)

Memory
1.9MiB live, 320.8MiB allocated
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New1 27571 282
Fresh213
Picked235
Done011
Total1 279121 291
Accuracy
100.0%
Counts
1 291 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.8%
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
82.1%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
▶99.2%
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
▶68.0%
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
99.0%
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
✓68.1%
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
▶68.0%
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
97.7%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #s(literal 8 binary64)))
✓99.5%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
✓99.4%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
▶99.1%
(*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/8 binary64))) x)
✓52.2%
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
Compiler

Compiled 258 to 171 computations (33.7% saved)

simplify23.0ms (0.3%)

Memory
-29.5MiB live, 12.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 #s(literal 16 binary64))
cost-diff0
(*.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/8 binary64))
cost-diff0
(*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/8 binary64))) x)
cost-diff6656
(exp.f64 (*.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/8 binary64)))
cost-diff0
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x))
cost-diff0
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
cost-diff2880
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
cost-diff0
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 x (sqrt.f64 x))
cost-diff0
(sqrt.f64 (*.f64 x (sqrt.f64 x)))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
cost-diff0
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
cost-diff0
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x))
cost-diff0
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
Rules
110×lower-*.f32
84×lower-*.f64
44×*-commutative
34×associate-*r*
26×lift-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027209
050199
175199
2101199
3117199
0117199
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
#s(literal 2 binary64)
(sqrt.f64 x)
x
(sqrt.f64 (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x (sqrt.f64 x)))
(*.f64 x (sqrt.f64 x))
x
(sqrt.f64 x)
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(sqrt.f64 (*.f64 x (sqrt.f64 x)))
(*.f64 x (sqrt.f64 x))
(sqrt.f64 x)
(sqrt.f64 (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (sqrt.f64 x))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
#s(literal 2 binary64)
(sqrt.f64 x)
x
(sqrt.f64 (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (sqrt.f64 x))
(*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/8 binary64))) x)
(exp.f64 (*.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/8 binary64)))
(*.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/8 binary64))
(log.f64 #s(literal 16 binary64))
#s(literal 16 binary64)
#s(literal 1/8 binary64)
x
Outputs
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
#s(literal 2 binary64)
(sqrt.f64 x)
x
(sqrt.f64 (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(sqrt.f64 (*.f64 x (sqrt.f64 x)))
(*.f64 x (sqrt.f64 x))
x
(sqrt.f64 x)
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
#s(literal 2 binary64)
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(sqrt.f64 (*.f64 x (sqrt.f64 x)))
(*.f64 x (sqrt.f64 x))
(sqrt.f64 x)
(sqrt.f64 (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (sqrt.f64 x))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
#s(literal 2 binary64)
(sqrt.f64 x)
x
(sqrt.f64 (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (sqrt.f64 x))
(*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/8 binary64))) x)
(*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/8 binary64)))
(pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))
(*.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/8 binary64))
(log.f64 #s(literal 16 binary64))
#s(literal 16 binary64)
#s(literal 1/8 binary64)
x

localize151.0ms (2.2%)

Memory
10.6MiB live, 190.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/8 binary64))
accuracy0
(log.f64 #s(literal 16 binary64))
accuracy0.37890625
(*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/8 binary64))) x)
accuracy1.0
(exp.f64 (*.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/8 binary64)))
accuracy0.15234375
(sqrt.f64 (sqrt.f64 x))
accuracy0.31087875976844204
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
accuracy0.37890625
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x))
accuracy0.38119125976844204
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
accuracy0.15234375
(sqrt.f64 (sqrt.f64 x))
accuracy0.31087875976844204
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
accuracy0.3125
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
accuracy20.780176330735994
(sqrt.f64 (*.f64 x (sqrt.f64 x)))
accuracy0.125
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
accuracy0.15234375
(*.f64 x (sqrt.f64 x))
accuracy0.375
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
accuracy20.780176330735994
(sqrt.f64 (*.f64 x (sqrt.f64 x)))
accuracy0.125
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
accuracy0.15234375
(sqrt.f64 (sqrt.f64 x))
accuracy0.33984375
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
accuracy0.37890625
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x))
Samples
115.0ms256×0valid
Compiler

Compiled 211 to 29 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-mult: 38.0ms (66.7% of total)
ival-sqrt: 13.0ms (22.8% of total)
ival-log: 3.0ms (5.3% of total)
ival-exp: 3.0ms (5.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series143.0ms (2.1%)

Memory
-0.6MiB live, 78.2MiB allocated
Counts
20 → 204
Calls
Call 1
Inputs
#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (patch (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 x (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (*.f64 x (sqrt.f64 x)) (patch (*.f64 x (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (exp.f64 (*.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/8 binary64))) (patch (exp.f64 (*.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/8 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/8 binary64))) x) (patch (*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/8 binary64))) x) #<representation binary64>) () ())
#s(alt (*.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/8 binary64)) (patch (*.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/8 binary64)) #<representation binary64>) () ())
#s(alt (log.f64 #s(literal 16 binary64)) (patch (log.f64 #s(literal 16 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/4) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/4) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/4) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/4) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
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#s(alt (pow (* 1 x) 1/4) (taylor 0 x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/4) (taylor 0 x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/4) (taylor inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/4) (taylor inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/4) (taylor inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/4) (taylor inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) (taylor -inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) (taylor -inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) (taylor -inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) (taylor -inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/4) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/4) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/4) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/4) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
Calls

51 calls:

TimeVariablePointExpression
70.0ms
x
@-inf
(* (sqrt (* 2 x)) (sqrt (sqrt (* x (sqrt x)))))
41.0ms
x
@-inf
(* (* (sqrt (* 2 (sqrt x))) (sqrt x)) (sqrt (sqrt x)))
9.0ms
x
@0
(* (exp (* (log 16) 1/8)) x)
7.0ms
x
@0
(* (sqrt (* 2 x)) (sqrt (sqrt (* x (sqrt x)))))
7.0ms
x
@inf
(* (sqrt (* 2 x)) (sqrt (sqrt (* x (sqrt x)))))

simplify1.1s (15.7%)

Memory
-15.4MiB live, 1 331.1MiB allocated
Algorithm
1×egg-herbie
Rules
46 300×lower-fma.f64
46 300×lower-fma.f32
5 136×lower-*.f64
5 136×lower-*.f32
3 008×lower-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0701208
11511208
23851196
36371196
49681196
517881196
625121196
727711196
829541196
930961196
1031521196
1137921196
1240651196
1340691196
1440691196
1540811196
1640811196
1740811196
1840811196
1949771196
087011196
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
Calls
Call 1
Inputs
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 7)) 1/4) (sqrt 2)))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 7)) 1/4) (sqrt 2)))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 7)) 1/4) (sqrt 2)))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 7)) 1/4) (sqrt 2)))
(* (pow 16 1/8) x)
(* (pow 16 1/8) x)
(* (pow 16 1/8) x)
(* (pow 16 1/8) x)
(* (pow 16 1/8) x)
(* (pow 16 1/8) x)
(* (pow 16 1/8) x)
(* (pow 16 1/8) x)
(* (pow 16 1/8) x)
(* (pow 16 1/8) x)
(* (pow 16 1/8) x)
(* (pow 16 1/8) x)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
Outputs
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(*.f64 (pow.f64 (*.f64 x (*.f64 x (neg.f64 x))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(*.f64 (pow.f64 (*.f64 x (*.f64 x (neg.f64 x))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(*.f64 (pow.f64 (*.f64 x (*.f64 x (neg.f64 x))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(*.f64 (pow.f64 (*.f64 x (*.f64 x (neg.f64 x))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* 2 (sqrt x))
(*.f64 #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))
(* 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))
(* -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))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(*.f64 (pow.f64 (*.f64 x (*.f64 x (neg.f64 x))) #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(*.f64 (pow.f64 (*.f64 x (*.f64 x (neg.f64 x))) #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(*.f64 (pow.f64 (*.f64 x (*.f64 x (neg.f64 x))) #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(*.f64 (pow.f64 (*.f64 x (*.f64 x (neg.f64 x))) #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(neg.f64 (*.f64 x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(neg.f64 (*.f64 x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(neg.f64 (*.f64 x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(neg.f64 (*.f64 x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64))))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64))))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64))))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64))))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 x))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 x))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 x))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 x))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 7)) 1/4) (sqrt 2)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64)) #s(literal 1/4 binary64))))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 7)) 1/4) (sqrt 2)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64)) #s(literal 1/4 binary64))))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 7)) 1/4) (sqrt 2)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64)) #s(literal 1/4 binary64))))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 7)) 1/4) (sqrt 2)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64)) #s(literal 1/4 binary64))))
(* (pow 16 1/8) x)
(*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))
(* (pow 16 1/8) x)
(*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))
(* (pow 16 1/8) x)
(*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))
(* (pow 16 1/8) x)
(*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))
(* (pow 16 1/8) x)
(*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))
(* (pow 16 1/8) x)
(*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))
(* (pow 16 1/8) x)
(*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))
(* (pow 16 1/8) x)
(*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))
(* (pow 16 1/8) x)
(*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))
(* (pow 16 1/8) x)
(*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))
(* (pow 16 1/8) x)
(*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))
(* (pow 16 1/8) x)
(*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))

rewrite231.0ms (3.4%)

Memory
33.1MiB live, 419.8MiB allocated
Rules
5 458×lower-fma.f64
5 458×lower-fma.f32
2 820×lower-*.f32
2 796×lower-*.f64
1 810×prod-exp
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
027142
050116
194107
224192
387380
4495580
0813980
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 715
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x (sqrt.f64 x)))
(*.f64 x (sqrt.f64 x))
(sqrt.f64 x)
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/8 binary64)))
(*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/8 binary64))) x)
(*.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/8 binary64))
(log.f64 #s(literal 16 binary64))
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3/8 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x))))))
(exp.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 x) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) x))))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) x))) (*.f64 #s(literal 1/8 binary64) (log.f64 x))))
(exp.f64 (fma.f64 #s(literal 5/8 binary64) (log.f64 x) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (*.f64 #s(literal 5/8 binary64) (log.f64 x))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x))) (*.f64 (log.f64 x) #s(literal 3/8 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 x (*.f64 x x)))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 4 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x x))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (sqrt.f64 x)))))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (*.f64 x x)))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 1/4 binary64) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (log.f64 (*.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64) (*.f64 (log.f64 x) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 (*.f64 x #s(literal 4 binary64))) (*.f64 (log.f64 x) #s(literal 3/8 binary64))) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (sqrt.f64 x))))))
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (sqrt.f64 x))))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))))
(pow.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))) #s(literal 2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) x))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) x)))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x)))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(*.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3/4 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3/8 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 3/4 binary64))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (*.f64 (log.f64 x) #s(literal 3/8 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 4 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 x x))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) x)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (sqrt.f64 x)))))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 1/4 binary64) (*.f64 #s(literal 1/8 binary64) (log.f64 (*.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/8 binary64) (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 x) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 (*.f64 x #s(literal 4 binary64))) (*.f64 (log.f64 x) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))))
(sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (sqrt.f64 x))))))
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))))
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) x) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (sqrt.f64 x))))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))))
(pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) #s(literal 2 binary64))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 x) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 (*.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 (*.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/8 binary64) (log.f64 (*.f64 x #s(literal 4 binary64))))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64))
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(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 5/16 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 3/16 binary64) (log.f64 x))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (log.f64 x) #s(literal 3/8 binary64))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 5/8 binary64) (log.f64 x))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 5/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (log.f64 x) #s(literal 3/8 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 1/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 7/8 binary64) (log.f64 x))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 7/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 1/8 binary64) (log.f64 x))))
(*.f64 (pow.f64 (E.f64) (*.f64 (log.f64 x) #s(literal 1/16 binary64))) (pow.f64 (E.f64) (*.f64 #s(literal 3/16 binary64) (log.f64 x))))
(*.f64 (pow.f64 (E.f64) (*.f64 #s(literal 3/16 binary64) (log.f64 x))) (pow.f64 (E.f64) (*.f64 (log.f64 x) #s(literal 1/16 binary64))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 (*.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 (*.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/8 binary64) (log.f64 (*.f64 x #s(literal 4 binary64))))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(pow.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 4 binary64)))) #s(literal 1/4 binary64))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))

eval241.0ms (3.5%)

Memory
-12.7MiB live, 407.0MiB allocated
Compiler

Compiled 32 403 to 2 811 computations (91.3% saved)

prune161.0ms (2.3%)

Memory
-23.5MiB live, 347.5MiB allocated
Pruning

13 alts after pruning (6 fresh and 7 done)

PrunedKeptTotal
New1 77051 775
Fresh213
Picked235
Done044
Total1 774131 787
Accuracy
100.0%
Counts
1 787 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(*.f64 (pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) #s(literal 2 binary64)) x)
▶99.4%
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
▶98.9%
(*.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
✓99.2%
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
▶82.1%
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
▶99.2%
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
✓68.0%
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
▶99.0%
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
✓68.1%
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
✓68.0%
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
✓99.5%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
✓99.4%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓52.2%
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
Compiler

Compiled 246 to 161 computations (34.6% saved)

simplify10.0ms (0.1%)

Memory
11.8MiB live, 11.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
cost-diff0
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))))
cost-diff0
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
cost-diff0
(sqrt.f64 (sqrt.f64 x))
cost-diff0
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff0
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
cost-diff3840
(*.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x)))
cost-diff2240
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
cost-diff0
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
cost-diff0
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
cost-diff0
(pow.f64 x #s(literal 3/4 binary64))
cost-diff0
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
Rules
164×lower-*.f32
134×lower-*.f64
74×associate-*r*
52×*-commutative
46×associate-*l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
028248
053248
178238
2108233
3127229
4135229
5151229
6162229
0162229
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(pow.f64 x #s(literal 3/4 binary64))
x
#s(literal 3/4 binary64)
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(sqrt.f64 x)
#s(literal 2 binary64)
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
(*.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
x
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
(sqrt.f64 (sqrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))
(*.f64 x (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
(sqrt.f64 (sqrt.f64 (sqrt.f64 x)))
Outputs
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(pow.f64 x #s(literal 3/4 binary64))
x
#s(literal 3/4 binary64)
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(sqrt.f64 x)
#s(literal 2 binary64)
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
x
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
(*.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
x
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 x)))) (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 x)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
x
(sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(sqrt.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
(sqrt.f64 (sqrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))) (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
x
(sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))
(sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))
(*.f64 x (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
(sqrt.f64 (sqrt.f64 (sqrt.f64 x)))

localize271.0ms (3.9%)

Memory
-15.2MiB live, 139.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.31087875976844204
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
accuracy0.3125
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
accuracy0.37890625
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
accuracy11.551323941304785
(sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))
accuracy0.15234375
(sqrt.f64 (sqrt.f64 x))
accuracy0.296875
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))
accuracy0.31087875976844204
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
accuracy0.3125
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))))
accuracy0.15234375
(sqrt.f64 (sqrt.f64 x))
accuracy0.33984375
(*.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
accuracy0.37890625
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
accuracy0.4075775390737681
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64)))
accuracy0
(sqrt.f64 x)
accuracy0.15234375
(sqrt.f64 (sqrt.f64 x))
accuracy0.33984375
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
accuracy0.3671875
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x)))
accuracy0
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
accuracy0
(sqrt.f64 x)
accuracy0.125
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
accuracy0.375
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
Samples
63.0ms256×0valid
Compiler

Compiled 250 to 30 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 20.0ms (45.7% of total)
ival-sqrt: 15.0ms (34.3% of total)
ival-pow: 8.0ms (18.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series134.0ms (1.9%)

Memory
16.2MiB live, 170.6MiB allocated
Counts
20 → 240
Calls
Call 1
Inputs
#s(alt (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (patch (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 3/4 binary64)) (patch (pow.f64 x #s(literal 3/4 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<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 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (patch (*.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) (patch (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (patch (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())
Outputs
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (patch (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (patch (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (patch (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (patch (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (patch (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (patch (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (patch (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (patch (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1))))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (patch (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1))))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (patch (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1))))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (patch (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1))))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (patch (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3/4 binary64)) (patch (pow.f64 x #s(literal 3/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3/4 binary64)) (patch (pow.f64 x #s(literal 3/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3/4 binary64)) (patch (pow.f64 x #s(literal 3/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3/4 binary64)) (patch (pow.f64 x #s(literal 3/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor inf x) (#s(alt (pow.f64 x #s(literal 3/4 binary64)) (patch (pow.f64 x #s(literal 3/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor inf x) (#s(alt (pow.f64 x #s(literal 3/4 binary64)) (patch (pow.f64 x #s(literal 3/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor inf x) (#s(alt (pow.f64 x #s(literal 3/4 binary64)) (patch (pow.f64 x #s(literal 3/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor inf x) (#s(alt (pow.f64 x #s(literal 3/4 binary64)) (patch (pow.f64 x #s(literal 3/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3/4 binary64)) (patch (pow.f64 x #s(literal 3/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3/4 binary64)) (patch (pow.f64 x #s(literal 3/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3/4 binary64)) (patch (pow.f64 x #s(literal 3/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3/4 binary64)) (patch (pow.f64 x #s(literal 3/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/4) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/4) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/4) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/4) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (sqrt.f64 (*.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 (* 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 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 (* -2 (* (sqrt x) (pow (sqrt -1) 2))) (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) (pow (sqrt -1) 2))) (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) (pow (sqrt -1) 2))) (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) (pow (sqrt -1) 2))) (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 0 x) (#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
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#s(alt (* (pow (* 1 (pow x 7)) 1/8) (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) #<representation binary64>) () ())) ())
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#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
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#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
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#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
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#s(alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 5)) 1/8) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (patch (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 5)) 1/8) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (patch (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 5)) 1/8) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (patch (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 5)) 1/8) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (patch (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 5)) 1/8) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (patch (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 5)) 1/8) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (patch (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 5)) 1/8) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (patch (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 5)) 1/8) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (patch (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4)) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (patch (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4)) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (patch (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4)) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (patch (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4)) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (patch (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
Calls

60 calls:

TimeVariablePointExpression
51.0ms
x
@-inf
(* (pow x 3/4) (sqrt (* (sqrt x) 2)))
18.0ms
x
@0
(pow x 3/4)
18.0ms
x
@-inf
(sqrt (* x (sqrt (sqrt x))))
10.0ms
x
@0
(sqrt (* x (sqrt (sqrt x))))
7.0ms
x
@-inf
(pow x 3/4)

simplify226.0ms (3.3%)

Memory
11.1MiB live, 204.5MiB allocated
Algorithm
1×egg-herbie
Rules
3 024×lower-fma.f64
3 024×lower-fma.f32
2 990×lower-*.f64
2 990×lower-*.f32
1 860×div-sub
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
0831572
11841572
24681548
39301548
414451548
525931548
633841548
738001516
841651516
947241516
1056241516
1171551516
1279011516
080891516
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
Calls
Call 1
Inputs
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1)))))
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1)))))
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1)))))
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1)))))
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
Outputs
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1)))))
(*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 5/4 binary64))))
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1)))))
(*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 5/4 binary64))))
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1)))))
(*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 5/4 binary64))))
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1)))))
(*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 5/4 binary64))))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64))))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64))))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64))))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64))))
(* 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))
(* 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))
(* -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))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 x (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 x (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 x (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 x (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64))))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64))))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64))))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64))))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 x (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 x (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 x (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 x (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 1/8 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64))))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 1/8 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64))))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 1/8 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64))))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 1/8 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64))))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 x (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 x (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 x (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 x (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 1/8 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64))))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 1/8 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64))))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 1/8 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64))))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 1/8 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64))))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(pow (* 1 (pow x 5)) 1/8)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 5)) 1/8)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 5)) 1/8)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 5)) 1/8)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 5)) 1/8)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 5)) 1/8)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 5)) 1/8)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 5)) 1/8)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) #s(literal 1/4 binary64)))
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) #s(literal 1/4 binary64)))
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) #s(literal 1/4 binary64)))
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) #s(literal 1/4 binary64)))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))

rewrite324.0ms (4.7%)

Memory
8.1MiB live, 405.2MiB allocated
Rules
6 390×lower-fma.f64
6 390×lower-fma.f32
4 108×lower-*.f32
4 084×lower-*.f64
1 816×lower-pow.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
028172
053120
1112116
231287
3118982
4447782
0814982
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 1 180
Calls
Call 1
Inputs
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(pow.f64 x #s(literal 3/4 binary64))
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(sqrt.f64 x)
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))
(sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 3/4 binary64) (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x x))) #s(literal 1/4 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))))
(pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (*.f64 x (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))) (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (sqrt.f64 x)))) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (sqrt.f64 x)))) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))) #s(literal 1/2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 x (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (*.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (*.f64 x #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))
(*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) (sqrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (*.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (*.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 x))) (*.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (*.f64 x (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (*.f64 x (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (*.f64 (pow.f64 (*.f64 x (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))) (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))) (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (sqrt.f64 x)))) #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (sqrt.f64 x)))) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)))))
(*.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (*.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (sqrt.f64 x)))) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (sqrt.f64 x)))) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))
(exp.f64 (*.f64 #s(literal 3/4 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/4 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/8 binary64)) #s(literal 6 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3/16 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 3/16 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) (*.f64 (*.f64 x (sqrt.f64 x)) x))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 x (sqrt.f64 x)) x) (sqrt.f64 x))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (*.f64 (log.f64 x) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 3/2 binary64))) (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(fabs.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(sqrt.f64 (*.f64 x (sqrt.f64 x)))
(pow.f64 x #s(literal 3/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 6 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 2 binary64))
(pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/8 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 3/4 binary64)) (log.f64 x))
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 3/16 binary64))
(pow.f64 (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 x (sqrt.f64 x))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) (*.f64 (*.f64 x (sqrt.f64 x)) x)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 x (sqrt.f64 x)) x) (sqrt.f64 x)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3/4 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/2 binary64)))
(pow.f64 (exp.f64 #s(literal 3/8 binary64)) (log.f64 (*.f64 x x)))
(pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 3/8 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (log.f64 (*.f64 x x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3/4 binary64)) #s(literal 1 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3/4 binary64)) #s(literal 4 binary64)) (*.f64 (log.f64 x) #s(literal 1/4 binary64)))
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(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal 3/4 binary64)) (*.f64 (log.f64 x) #s(literal 3/8 binary64))) (pow.f64 (exp.f64 #s(literal 3/4 binary64)) (*.f64 #s(literal 5/8 binary64) (log.f64 x))))
(*.f64 (pow.f64 (exp.f64 #s(literal 3/4 binary64)) (*.f64 #s(literal 3/4 binary64) (log.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(*.f64 (pow.f64 (exp.f64 #s(literal 3/4 binary64)) (*.f64 #s(literal 7/8 binary64) (log.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))
(*.f64 (pow.f64 (exp.f64 #s(literal 3/4 binary64)) (*.f64 #s(literal 5/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 3/4 binary64)) (*.f64 (log.f64 x) #s(literal 3/8 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal 3/4 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 (*.f64 x x) (*.f64 x (sqrt.f64 (sqrt.f64 x))))))) (pow.f64 (exp.f64 #s(literal 3/4 binary64)) (*.f64 (log.f64 x) #s(literal 3/16 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 11/8 binary64) (log.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 (log.f64 x) #s(literal 1/8 binary64))) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/8 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/8 binary64))) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 (log.f64 x) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 (log.f64 x) #s(literal 1/16 binary64))) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 #s(literal 7/16 binary64) (log.f64 x))))
(*.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 #s(literal 7/16 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 (log.f64 x) #s(literal 1/16 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 #s(literal 5/16 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/16 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/16 binary64))) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 #s(literal 5/16 binary64) (log.f64 x))))
(*.f64 (exp.f64 (*.f64 #s(literal 7/16 binary64) (log.f64 x))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))))
(*.f64 (exp.f64 (*.f64 #s(literal 9/16 binary64) (log.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(*.f64 (exp.f64 (*.f64 #s(literal 11/4 binary64) (*.f64 (log.f64 x) #s(literal 1/4 binary64)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))) #s(literal 3 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))))) #s(literal 3 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 1/4 binary64)) #s(literal 3 binary64)))

eval393.0ms (5.7%)

Memory
8.4MiB live, 732.3MiB allocated
Compiler

Compiled 56 911 to 4 882 computations (91.4% saved)

prune267.0ms (3.9%)

Memory
-1.4MiB live, 539.5MiB allocated
Pruning

13 alts after pruning (1 fresh and 12 done)

PrunedKeptTotal
New2 72312 724
Fresh101
Picked055
Done077
Total2 724132 737
Accuracy
100.0%
Counts
2 737 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.4%
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
✓98.9%
(*.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
82.1%
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x)))
✓99.2%
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
✓82.1%
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
✓99.2%
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
✓68.0%
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
✓99.0%
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
✓68.1%
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
✓68.0%
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
✓99.5%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
✓99.4%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓52.2%
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
Compiler

Compiled 444 to 191 computations (57% saved)

regimes21.0ms (0.3%)

Memory
9.7MiB live, 46.1MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #s(literal 8 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) #s(literal 2 binary64)) x)
(*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/8 binary64))) x)
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
Outputs
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
Calls

3 calls:

8.0ms
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
6.0ms
x
6.0ms
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
Results
AccuracySegmentsBranch
99.5%1x
99.5%1(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
99.5%1(*.f64 (*.f64 #s(literal 2 binary64) x) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory
11.3MiB live, 11.3MiB allocated
Accuracy

Total -30.4b remaining (-8022.3%)

Threshold costs -30.4b (-8022.3%)

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

3 calls:

1.0ms
x
1.0ms
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
1.0ms
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
Results
AccuracySegmentsBranch
99.4%1x
99.4%1(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
99.4%1(*.f64 (*.f64 #s(literal 2 binary64) x) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify8.0ms (0.1%)

Memory
-25.4MiB live, 12.1MiB allocated
Algorithm
1×egg-herbie
Rules
6×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

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

soundness162.0ms (2.4%)

Memory
2.2MiB live, 154.5MiB allocated
Rules
5 230×lower-*.f32
5 226×lower-*.f64
3 666×lower-/.f64
3 666×lower-/.f32
3 090×lower-fma.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0514
0814
11714
23813
39212
433812
5207412
0867212
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 37 to 23 computations (37.8% saved)

preprocess23.0ms (0.3%)

Memory
22.5MiB live, 59.8MiB allocated
Compiler

Compiled 70 to 50 computations (28.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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