sqrt D (should all be same)

Time bar (total: 13.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample904.0ms (6.8%)

Memory
14.5MiB live, 807.1MiB allocated
Samples
668.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 518.0ms
ival-pow2: 394.0ms (76.1% of total)
ival-sqrt: 58.0ms (11.2% of total)
ival-mult: 52.0ms (10% of total)
ival-true: 6.0ms (1.2% of total)
exact: 5.0ms (1% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain90.0ms (0.7%)

Memory
-5.1MiB live, 118.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1390-4(2.5852183955557495e-161)(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
00-0-(pow.f64 x #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
01(-1.387779012064895e-162)0-(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))oflow-rescue750
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))overflow75
(pow.f64 x #s(literal 2 binary64))overflow75
sqrt.f64(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))uflow-rescue600
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))underflow60
(pow.f64 x #s(literal 2 binary64))underflow61
*.f64(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))n*u10
Confusion
Predicted +Predicted -
+1363
-0117
Precision
1.0
Recall
0.9784172661870504
Confusion?
Predicted +Predicted MaybePredicted -
+13603
-00117
Precision?
1.0
Recall?
0.9784172661870504
Freqs
test
numberfreq
0120
1136
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
57.0ms512×0valid
Compiler

Compiled 42 to 19 computations (54.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-pow2: 9.0ms (56.3% of total)
ival-mult: 3.0ms (18.8% of total)
ival-sqrt: 3.0ms (18.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess55.0ms (0.4%)

Memory
-11.6MiB live, 27.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
11513
23413
312313
424613
527013
628013
056
086
1106
2146
3166
0166
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
Outputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)))
Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.9%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify3.0ms (0%)

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

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
cost-diff0
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
cost-diff6144
(pow.f64 x #s(literal 2 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0516
0816
11016
21416
31616
01616
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))
x
Outputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))
(*.f64 x x)
x

localize21.0ms (0.2%)

Memory
-4.6MiB live, 41.0MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(pow.f64 x #s(literal 2 binary64))
accuracy0.01171875
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
accuracy32.024660715628485
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
Samples
17.0ms256×0valid
Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-sqrt: 6.0ms (51.6% of total)
ival-pow2: 3.0ms (25.8% of total)
ival-mult: 1.0ms (8.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0%)

Memory
10.8MiB live, 10.8MiB allocated
Counts
3 → 36
Calls
Call 1
Inputs
#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (patch (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (pow x 2) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (patch (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (patch (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (patch (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (patch (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (patch (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (patch (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (patch (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (patch (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (patch (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (patch (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (patch (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (patch (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
Calls

3 calls:

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

simplify5.0ms (0%)

Memory
10.5MiB live, 10.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite118.0ms (0.9%)

Memory
-20.7MiB live, 138.9MiB allocated
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0514
0814
12212
25712
318612
47654
561794
090304
Stop Event
iter limit
node limit
iter limit
Counts
3 → 46
Calls
Call 1
Inputs
(pow.f64 x #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
Outputs
x
#s(literal 1 binary64)
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (E.f64)) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) x) (pow.f64 (pow.f64 (sqrt.f64 (E.f64)) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) x))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 7/16 binary64)) x) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/32 binary64)) x))
(*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/32 binary64)) x) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 7/16 binary64)) x))
(*.f64 (pow.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 7/16 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/32 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (E.f64)) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/32 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 7/16 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (pow.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)) x))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (pow.f64 (sqrt.f64 (E.f64)) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 1/2 binary64)))) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (sqrt.f64 (E.f64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -2 binary64)))
(pow.f64 (pow.f64 (sqrt.f64 (E.f64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (sqrt.f64 (E.f64)) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 #s(literal 4 binary64)))
(pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/32 binary64)) #s(literal 8 binary64))
(pow.f64 (sqrt.f64 (E.f64)) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 (log.f64 #s(literal 2 binary64)) x))
(pow.f64 (sqrt.f64 (E.f64)) (log.f64 #s(literal 2 binary64)))
(pow.f64 (E.f64) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(/.f64 (pow.f64 (sqrt.f64 (E.f64)) (/.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/2 binary64)))) (pow.f64 (sqrt.f64 (E.f64)) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 #s(literal 1/2 binary64)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (E.f64)) (/.f64 #s(literal 0 binary64) (log.f64 #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (+.f64 (fma.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/8 binary64) (log.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/8 binary64) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (+.f64 (fma.f64 #s(literal 1/16 binary64) (log.f64 #s(literal 4 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/8 binary64) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (fma.f64 #s(literal 1/16 binary64) (log.f64 #s(literal 4 binary64)) (fma.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/8 binary64) (log.f64 #s(literal 2 binary64))))))
(exp.f64 (fma.f64 #s(literal 1/16 binary64) (log.f64 #s(literal 4 binary64)) (fma.f64 #s(literal 1/16 binary64) (log.f64 #s(literal 4 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) x))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))
#s(literal 2 binary64)

eval9.0ms (0.1%)

Memory
12.8MiB live, 12.8MiB allocated
Compiler

Compiled 592 to 123 computations (79.2% saved)

prune7.0ms (0.1%)

Memory
12.1MiB live, 12.1MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New78482
Fresh000
Picked101
Done000
Total79483
Accuracy
99.6%
Counts
83 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.8%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
49.9%
(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x))))
5.2%
(sqrt.f64 #s(literal 2 binary64))
53.7%
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
Compiler

Compiled 19 to 19 computations (0% saved)

simplify19.0ms (0.1%)

Memory
-31.5MiB live, 5.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (pow x 2) (*.f64 x x))
cost-diff0
(*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x)))
cost-diff0
(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x))))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
cost-diff0
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01465
02165
13165
24465
35665
46265
57365
69865
710765
811365
911365
011365
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 x)
x
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x))))
(*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x)))
#s(literal 2 binary64)
#s(approx (pow x 2) (*.f64 x x))
(*.f64 x x)
x
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
Outputs
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))
(neg.f64 x)
x
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x))))
(sqrt.f64 (*.f64 #s(approx (pow x 2) (*.f64 x x)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x)))
(*.f64 #s(approx (pow x 2) (*.f64 x x)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (pow x 2) (*.f64 x x))
(*.f64 x x)
x
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x

localize35.0ms (0.3%)

Memory
13.0MiB live, 48.6MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.4375
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
accuracy0
(*.f64 x x)
accuracy0
#s(approx (pow x 2) (*.f64 x x))
accuracy0.01171875
(*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x)))
accuracy32.024660715628485
(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x))))
accuracy0
(sqrt.f64 #s(literal 2 binary64))
accuracy0
(sqrt.f64 #s(literal 2 binary64))
accuracy0
(neg.f64 x)
accuracy0.4375
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
accuracy29.391671185101732
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
Samples
27.0ms256×0valid
Compiler

Compiled 49 to 12 computations (75.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-sqrt: 8.0ms (43.2% of total)
ival-mult: 6.0ms (32.4% of total)
ival-pow2: 3.0ms (16.2% of total)
ival-neg: 1.0ms (5.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0%)

Memory
8.5MiB live, 8.5MiB allocated
Counts
9 → 96
Calls
Call 1
Inputs
#s(alt #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(literal 2 binary64)) (patch (sqrt.f64 #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x)))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x))) (patch (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x))) #<representation binary64>) () ())
#s(alt #s(approx (pow x 2) (*.f64 x x)) (patch #s(approx (pow x 2) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())
Outputs
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor 0 x) (#s(alt (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor 0 x) (#s(alt (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor 0 x) (#s(alt (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor 0 x) (#s(alt (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x)))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x)))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x)))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x)))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x))) (patch (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x))) (patch (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x))) (patch (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x))) (patch (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt #s(approx (pow x 2) (*.f64 x x)) (patch #s(approx (pow x 2) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt #s(approx (pow x 2) (*.f64 x x)) (patch #s(approx (pow x 2) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt #s(approx (pow x 2) (*.f64 x x)) (patch #s(approx (pow x 2) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt #s(approx (pow x 2) (*.f64 x x)) (patch #s(approx (pow x 2) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor inf x) (#s(alt (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor inf x) (#s(alt (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor inf x) (#s(alt (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor inf x) (#s(alt (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x)))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x)))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x)))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x)))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x))) (patch (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x))) (patch (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x))) (patch (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x))) (patch (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt #s(approx (pow x 2) (*.f64 x x)) (patch #s(approx (pow x 2) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt #s(approx (pow x 2) (*.f64 x x)) (patch #s(approx (pow x 2) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt #s(approx (pow x 2) (*.f64 x x)) (patch #s(approx (pow x 2) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt #s(approx (pow x 2) (*.f64 x x)) (patch #s(approx (pow x 2) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x)))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x)))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x)))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x)))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x))) (patch (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x))) (patch (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x))) (patch (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x))) (patch (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (pow x 2) (*.f64 x x)) (patch #s(approx (pow x 2) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (pow x 2) (*.f64 x x)) (patch #s(approx (pow x 2) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (pow x 2) (*.f64 x x)) (patch #s(approx (pow x 2) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (pow x 2) (*.f64 x x)) (patch #s(approx (pow x 2) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
Calls

3 calls:

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

simplify6.0ms (0%)

Memory
9.6MiB live, 9.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09368
117368
233368
338368
446368
557368
668368
790368
8101368
9101368
0101368
Stop Event
iter limit
saturated
Counts
96 → 96
Calls
Call 1
Inputs
(* 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)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 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)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 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)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
Outputs
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

rewrite110.0ms (0.8%)

Memory
11.2MiB live, 170.7MiB allocated
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01454
02155
14653
211253
346953
4378249
0839949
Stop Event
iter limit
node limit
iter limit
Counts
9 → 835
Calls
Call 1
Inputs
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 x)
(sqrt.f64 #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x))))
(*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x)))
#s(approx (pow x 2) (*.f64 x x))
(*.f64 x x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
Outputs
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x #s(literal 2 binary64))))) (sqrt.f64 x))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 3/2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 x #s(literal 2 binary64)))) (sqrt.f64 x))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)) (*.f64 x x)) x)
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(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (neg.f64 (sqrt.f64 x)) (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (neg.f64 (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x) (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) #s(literal 0 binary64))
(fma.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 x) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 x) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 x) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 x) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (*.f64 x x) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 0 binary64))
(fma.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(sqrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal 2 binary64)) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(+.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(+.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 0 binary64))

eval118.0ms (0.9%)

Memory
-17.7MiB live, 219.4MiB allocated
Compiler

Compiled 11 639 to 1 619 computations (86.1% saved)

prune158.0ms (1.2%)

Memory
5.0MiB live, 240.7MiB allocated
Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New95411965
Fresh000
Picked044
Done000
Total95415969
Accuracy
100.0%
Counts
969 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.6%
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
47.9%
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64)))
47.7%
(*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x)
31.1%
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))
47.8%
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
53.7%
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
46.7%
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
47.8%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
49.3%
(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))))
49.9%
(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x))))
5.2%
(sqrt.f64 #s(literal 2 binary64))
53.7%
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
46.4%
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))))
53.6%
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))))
53.7%
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
Compiler

Compiled 207 to 179 computations (13.5% saved)

simplify110.0ms (0.8%)

Memory
15.7MiB live, 53.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
cost-diff0
(pow.f64 x #s(literal 3/2 binary64))
cost-diff0
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))
cost-diff0
(pow.f64 x #s(literal -1 binary64))
cost-diff0
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
cost-diff0
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
cost-diff7040
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff0
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))))
cost-diff1600
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 x #s(literal 2 binary64))
cost-diff0
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
cost-diff0
(neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
cost-diff0
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
cost-diff0
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
cost-diff6784
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028137
045125
171119
2126112
3254112
4406112
5519112
6761112
71124112
81300112
91456112
101532112
111651112
122131112
132772112
143123112
153172112
163186112
173196112
183202112
193202112
03202112
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
#s(literal 4 binary64)
#s(literal 1/8 binary64)
x
(neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(sqrt.f64 x)
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(sqrt.f64 x)
x
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))
#s(literal -1 binary64)
(pow.f64 x #s(literal -1 binary64))
x
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))
(pow.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 x)
Outputs
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (neg.f64 x))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
#s(literal 4 binary64)
#s(literal 1/8 binary64)
x
(neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 2 binary64)
(sqrt.f64 x)
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(sqrt.f64 x)
x
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))
(neg.f64 x)
#s(literal -1 binary64)
(pow.f64 x #s(literal -1 binary64))
x
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64)))
(pow.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 x)

localize106.0ms (0.8%)

Memory
-12.2MiB live, 104.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.00390625
(pow.f64 x #s(literal 3/2 binary64))
accuracy0.203125
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
accuracy10.033345396102442
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))
accuracy0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.05078125
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))
accuracy0.21484375
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
accuracy29.391671185101732
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
accuracy0
(sqrt.f64 #s(literal 2 binary64))
accuracy0
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))))
accuracy0.21484375
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64)))
accuracy0.2421875
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
accuracy0
(*.f64 x #s(literal 2 binary64))
accuracy0
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
accuracy0
(sqrt.f64 x)
accuracy0.140625
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
accuracy0
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
accuracy0
(neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
accuracy0.11328125
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
accuracy0.13671875
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
Samples
28.0ms136×0invalid
25.0ms120×0valid
Compiler

Compiled 121 to 28 computations (76.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-pow: 13.0ms (34% of total)
ival-mult: 12.0ms (31.4% of total)
ival-sqrt: 6.0ms (15.7% of total)
ival-div: 3.0ms (7.9% of total)
ival-pow2: 2.0ms (5.2% of total)
exact: 1.0ms (2.6% of total)
ival-neg: 1.0ms (2.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series90.0ms (0.7%)

Memory
25.4MiB live, 100.8MiB allocated
Counts
19 → 192
Calls
Call 1
Inputs
#s(alt (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) (patch (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (patch (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) #<representation binary64>) () ())
#s(alt (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (patch (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (patch (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 x) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal -1 binary64)) (patch (pow.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))) (patch (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 3/2 binary64)) (patch (pow.f64 x #s(literal 3/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (patch (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(literal 2 binary64)) (patch (sqrt.f64 #s(literal 2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* -1 (* (pow 4 1/4) x)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) (patch (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow 4 1/4) x)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) (patch (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow 4 1/4) x)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) (patch (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow 4 1/4) x)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) (patch (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/8) x) (taylor 0 x) (#s(alt (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (patch (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/8) x) (taylor 0 x) (#s(alt (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (patch (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/8) x) (taylor 0 x) (#s(alt (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (patch (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/8) x) (taylor 0 x) (#s(alt (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (patch (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (pow.f64 x #s(literal -1 binary64)) (patch (pow.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (pow.f64 x #s(literal -1 binary64)) (patch (pow.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (pow.f64 x #s(literal -1 binary64)) (patch (pow.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (pow.f64 x #s(literal -1 binary64)) (patch (pow.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))) (patch (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))) (patch (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))) (patch (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))) (patch (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
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#s(alt (* -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (/ 1 x) (taylor -inf x) (#s(alt (pow.f64 x #s(literal -1 binary64)) (patch (pow.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (pow.f64 x #s(literal -1 binary64)) (patch (pow.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (pow.f64 x #s(literal -1 binary64)) (patch (pow.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))) (patch (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
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#s(alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3/2 binary64)) (patch (pow.f64 x #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* (sqrt (/ 1 x)) (sqrt 2)) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (patch (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) (sqrt 2)) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (patch (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
58.0ms
x
@0
((* (* (pow 4 1/8) x) (neg (pow 4 1/8))) (* (pow 4 1/8) x) (pow 4 1/8) (neg (pow 4 1/8)) (* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt x) (sqrt x)) (sqrt (* 2 (pow x 2))) (* (* (sqrt x) (sqrt x)) (sqrt 2)) (/ -1 (pow x -1)) (sqrt (* 2 (pow x 2))) (* (/ -1 (pow x -1)) (sqrt 2)) (pow x -1) (* (pow x 3/2) (/ (sqrt 2) (sqrt x))) (pow x 3/2) (/ (sqrt 2) (sqrt x)) (sqrt 2))
16.0ms
x
@inf
((* (* (pow 4 1/8) x) (neg (pow 4 1/8))) (* (pow 4 1/8) x) (pow 4 1/8) (neg (pow 4 1/8)) (* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt x) (sqrt x)) (sqrt (* 2 (pow x 2))) (* (* (sqrt x) (sqrt x)) (sqrt 2)) (/ -1 (pow x -1)) (sqrt (* 2 (pow x 2))) (* (/ -1 (pow x -1)) (sqrt 2)) (pow x -1) (* (pow x 3/2) (/ (sqrt 2) (sqrt x))) (pow x 3/2) (/ (sqrt 2) (sqrt x)) (sqrt 2))
11.0ms
x
@-inf
((* (* (pow 4 1/8) x) (neg (pow 4 1/8))) (* (pow 4 1/8) x) (pow 4 1/8) (neg (pow 4 1/8)) (* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt x) (sqrt x)) (sqrt (* 2 (pow x 2))) (* (* (sqrt x) (sqrt x)) (sqrt 2)) (/ -1 (pow x -1)) (sqrt (* 2 (pow x 2))) (* (/ -1 (pow x -1)) (sqrt 2)) (pow x -1) (* (pow x 3/2) (/ (sqrt 2) (sqrt x))) (pow x 3/2) (/ (sqrt 2) (sqrt x)) (sqrt 2))

simplify191.0ms (1.4%)

Memory
7.2MiB live, 80.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042820
192808
2224804
3444804
41186804
52397804
63572804
73834804
83980804
94021804
104034804
114214804
124286804
134286804
144286804
154286804
164286804
174545804
185530804
195943804
205951804
05951804
Stop Event
iter limit
saturated
Counts
192 → 184
Calls
Call 1
Inputs
(* -1 (* (pow 4 1/4) x))
(* -1 (* (pow 4 1/4) x))
(* -1 (* (pow 4 1/4) x))
(* -1 (* (pow 4 1/4) x))
(* (pow 4 1/8) x)
(* (pow 4 1/8) x)
(* (pow 4 1/8) x)
(* (pow 4 1/8) x)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
x
x
x
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)
(* -1 x)
(* -1 x)
(* -1 x)
(* 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)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(* (sqrt (/ 1 x)) (sqrt 2))
(* (sqrt (/ 1 x)) (sqrt 2))
(* (sqrt (/ 1 x)) (sqrt 2))
(* (sqrt (/ 1 x)) (sqrt 2))
(* -1 (* (pow 4 1/4) x))
(* -1 (* (pow 4 1/4) x))
(* -1 (* (pow 4 1/4) x))
(* -1 (* (pow 4 1/4) x))
(* (pow 4 1/8) x)
(* (pow 4 1/8) x)
(* (pow 4 1/8) x)
(* (pow 4 1/8) x)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
x
x
x
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)
(* -1 x)
(* -1 x)
(* -1 x)
(* 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)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(* (sqrt (/ 1 x)) (sqrt 2))
(* (sqrt (/ 1 x)) (sqrt 2))
(* (sqrt (/ 1 x)) (sqrt 2))
(* (sqrt (/ 1 x)) (sqrt 2))
(* -1 (* (pow 4 1/4) x))
(* -1 (* (pow 4 1/4) x))
(* -1 (* (pow 4 1/4) x))
(* -1 (* (pow 4 1/4) x))
(* (pow 4 1/8) x)
(* (pow 4 1/8) x)
(* (pow 4 1/8) x)
(* (pow 4 1/8) x)
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* 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))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (sqrt 2))
(* (sqrt (/ 1 x)) (sqrt 2))
(* (sqrt (/ 1 x)) (sqrt 2))
(* (sqrt (/ 1 x)) (sqrt 2))
Outputs
(* -1 (* (pow 4 1/4) x))
(*.f64 (neg.f64 x) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(* -1 (* (pow 4 1/4) x))
(*.f64 (neg.f64 x) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(* -1 (* (pow 4 1/4) x))
(*.f64 (neg.f64 x) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(* -1 (* (pow 4 1/4) x))
(*.f64 (neg.f64 x) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
x
x
x
x
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt (pow x 3))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(* (sqrt (/ 1 x)) (sqrt 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (/ 1 x)) (sqrt 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (/ 1 x)) (sqrt 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (/ 1 x)) (sqrt 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* (pow 4 1/4) x))
(*.f64 (neg.f64 x) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(* -1 (* (pow 4 1/4) x))
(*.f64 (neg.f64 x) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(* -1 (* (pow 4 1/4) x))
(*.f64 (neg.f64 x) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(* -1 (* (pow 4 1/4) x))
(*.f64 (neg.f64 x) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
x
x
x
x
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt (pow x 3))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(* (sqrt (/ 1 x)) (sqrt 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (/ 1 x)) (sqrt 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (/ 1 x)) (sqrt 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (/ 1 x)) (sqrt 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* (pow 4 1/4) x))
(*.f64 (neg.f64 x) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(* -1 (* (pow 4 1/4) x))
(*.f64 (neg.f64 x) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(* -1 (* (pow 4 1/4) x))
(*.f64 (neg.f64 x) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(* -1 (* (pow 4 1/4) x))
(*.f64 (neg.f64 x) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (neg.f64 x))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (neg.f64 x))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (neg.f64 x))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (neg.f64 x))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (neg.f64 (sqrt.f64 x)))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (neg.f64 (sqrt.f64 x)))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (neg.f64 (sqrt.f64 x)))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (neg.f64 (sqrt.f64 x)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (pow (sqrt -1) 2)))
x
(* -1 (* x (pow (sqrt -1) 2)))
x
(* -1 (* x (pow (sqrt -1) 2)))
x
(* -1 (* x (pow (sqrt -1) 2)))
x
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(* (sqrt (/ 1 x)) (sqrt 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (/ 1 x)) (sqrt 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (/ 1 x)) (sqrt 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (/ 1 x)) (sqrt 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))

rewrite256.0ms (1.9%)

Memory
-53.0MiB live, 250.6MiB allocated
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
028116
045103
1122103
243878
3270573
0866773
Stop Event
iter limit
node limit
iter limit
Counts
19 → 1 809
Calls
Call 1
Inputs
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
(neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(sqrt.f64 x)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 x #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))
(pow.f64 x #s(literal 3/2 binary64))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(sqrt.f64 #s(literal 2 binary64))
Outputs
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (sqrt.f64 x))
(*.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 x)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)))) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))
(*.f64 (*.f64 (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x)) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))
(*.f64 (*.f64 (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))) (sqrt.f64 x))
(*.f64 (*.f64 (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x))) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)))
(*.f64 (*.f64 (*.f64 x (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))
(*.f64 (*.f64 (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)))
(*.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x))) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)))
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(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 0 binary64))
(sqrt.f64 #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))))
(exp.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (neg.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 256 binary64)) #s(literal 1/16 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/16 binary64) (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))

eval266.0ms (2%)

Memory
40.4MiB live, 525.6MiB allocated
Compiler

Compiled 30 205 to 3 752 computations (87.6% saved)

prune248.0ms (1.9%)

Memory
8.6MiB live, 444.4MiB allocated
Pruning

19 alts after pruning (13 fresh and 6 done)

PrunedKeptTotal
New2 391122 403
Fresh516
Picked325
Done044
Total2 399192 418
Accuracy
100.0%
Counts
2 418 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.5%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
24.6%
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
46.6%
(/.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
53.7%
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal -1 binary64)))
47.8%
(/.f64 x (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))
53.7%
(/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64))))
53.7%
(/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal -1 binary64)))
31.2%
(*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))
53.8%
(*.f64 (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))))
46.5%
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 x (fabs.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 x)))))
46.7%
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
47.8%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
49.9%
(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x))))
5.2%
(sqrt.f64 #s(literal 2 binary64))
53.7%
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
47.8%
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
46.3%
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
46.4%
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))))
53.7%
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
Compiler

Compiled 273 to 236 computations (13.6% saved)

simplify151.0ms (1.1%)

Memory
-18.8MiB live, 115.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64))
cost-diff0
(neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))
cost-diff0
(/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64))))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
cost-diff0
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
cost-diff1600
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal 2 binary64))
cost-diff192
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
cost-diff640
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
cost-diff0
(*.f64 x #s(literal 2 binary64))
cost-diff0
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
cost-diff640
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
cost-diff0
(neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))
cost-diff0
(pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))
cost-diff0
(*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)))
cost-diff0
(*.f64 (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034150
055140
1100133
2261126
31046126
43218126
54533126
66118126
08033126
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))))
(*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)))
x
(pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))
#s(literal 64 binary64)
#s(literal 1/16 binary64)
(neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))
(pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))
#s(literal 16 binary64)
#s(literal 1/32 binary64)
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
#s(literal 0 binary64)
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal 2 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(sqrt.f64 x)
x
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 2 binary64)
(sqrt.f64 #s(literal 2 binary64))
(/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64))))
x
(neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))
(pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64))
#s(literal 256 binary64)
#s(literal -1/16 binary64)
Outputs
(*.f64 (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))))
(*.f64 (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x))
(*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)))
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x)
x
(pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))
#s(literal 64 binary64)
#s(literal 1/16 binary64)
(neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))
(pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))
#s(literal 16 binary64)
#s(literal 1/32 binary64)
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 2 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 #s(literal -2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
#s(literal 0 binary64)
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal 2 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(sqrt.f64 x)
x
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 2 binary64)
(sqrt.f64 #s(literal 2 binary64))
(/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64))))
(/.f64 (neg.f64 x) (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))
x
(neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))
(pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64))
#s(literal 256 binary64)
#s(literal -1/16 binary64)

localize108.0ms (0.8%)

Memory
27.1MiB live, 101.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64))
accuracy0
(neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))
accuracy0.20703125
(/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64))))
accuracy0
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
accuracy0.21484375
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
accuracy0.2421875
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
accuracy0.46875
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
accuracy0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.00390625
(*.f64 (*.f64 x x) #s(literal 2 binary64))
accuracy0.21484375
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
accuracy15.158818000250761
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
accuracy0
(*.f64 x #s(literal 2 binary64))
accuracy0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.21484375
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
accuracy15.158818000250761
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
accuracy0
(pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))
accuracy0
(neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))
accuracy0.0390625
(*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)))
accuracy0.13671875
(*.f64 (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))))
Samples
59.0ms136×0invalid
29.0ms120×0valid
Compiler

Compiled 141 to 35 computations (75.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-pow: 38.0ms (52.9% of total)
ival-mult: 14.0ms (19.5% of total)
ival-div: 6.0ms (8.4% of total)
ival-sqrt: 5.0ms (7% of total)
ival-pow2: 4.0ms (5.6% of total)
ival-neg: 2.0ms (2.8% of total)
ival-sub: 1.0ms (1.4% of total)
exact: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series149.0ms (1.1%)

Memory
-4.2MiB live, 182.2MiB allocated
Counts
22 → 180
Calls
Call 1
Inputs
#s(alt (*.f64 (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))) (patch (*.f64 (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) (patch (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (patch (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) (patch (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) x) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (patch (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) #s(literal 2 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 x) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))) (patch #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))) (patch (/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))) #<representation binary64>) () ())
#s(alt (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64))) (patch (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)) (patch (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (patch (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(literal 2 binary64)) (patch (sqrt.f64 #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (* -1 (* (pow 16 1/32) (* (pow 64 1/16) x))) (taylor 0 x) (#s(alt (*.f64 (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))) (patch (*.f64 (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow 16 1/32) (* (pow 64 1/16) x))) (taylor 0 x) (#s(alt (*.f64 (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))) (patch (*.f64 (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow 16 1/32) (* (pow 64 1/16) x))) (taylor 0 x) (#s(alt (*.f64 (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))) (patch (*.f64 (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow 16 1/32) (* (pow 64 1/16) x))) (taylor 0 x) (#s(alt (*.f64 (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))) (patch (*.f64 (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow 64 1/16) x) (taylor 0 x) (#s(alt (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) (patch (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 64 1/16) x) (taylor 0 x) (#s(alt (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) (patch (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 64 1/16) x) (taylor 0 x) (#s(alt (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) (patch (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 64 1/16) x) (taylor 0 x) (#s(alt (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) (patch (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (sqrt 2))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (sqrt 2))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (sqrt 2))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (sqrt 2))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) x) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) x) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) x) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) x) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x (sqrt 2))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x (sqrt 2))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x (sqrt 2))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x (sqrt 2))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -2 (pow x 2)) (taylor 0 x) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (patch (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (pow x 2)) (taylor 0 x) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (patch (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (pow x 2)) (taylor 0 x) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (patch (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (pow x 2)) (taylor 0 x) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (patch (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 2 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 2 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 2 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 2 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))) (patch #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))) (patch #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))) (patch #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))) (patch #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (sqrt 2))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (sqrt 2))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (sqrt 2))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (sqrt 2))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow 256 1/16) x)) (taylor 0 x) (#s(alt (/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))) (patch (/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow 256 1/16) x)) (taylor 0 x) (#s(alt (/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))) (patch (/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow 256 1/16) x)) (taylor 0 x) (#s(alt (/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))) (patch (/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow 256 1/16) x)) (taylor 0 x) (#s(alt (/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))) (patch (/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow 16 1/32) (* (pow 64 1/16) x))) (taylor inf x) (#s(alt (*.f64 (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))) (patch (*.f64 (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow 16 1/32) (* (pow 64 1/16) x))) (taylor inf x) (#s(alt (*.f64 (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))) (patch (*.f64 (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow 16 1/32) (* (pow 64 1/16) x))) (taylor inf x) (#s(alt (*.f64 (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))) (patch (*.f64 (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow 16 1/32) (* (pow 64 1/16) x))) (taylor inf x) (#s(alt (*.f64 (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))) (patch (*.f64 (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow 64 1/16) x) (taylor inf x) (#s(alt (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) (patch (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 64 1/16) x) (taylor inf x) (#s(alt (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) (patch (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 64 1/16) x) (taylor inf x) (#s(alt (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) (patch (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 64 1/16) x) (taylor inf x) (#s(alt (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) (patch (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* 2 (/ x (sqrt 2))) (taylor inf x) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) x) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) x) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) x) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) x) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))) (patch #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))) (patch #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))) (patch #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (* x (pow (sqrt -1) 2)) (sqrt 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (* x (pow (sqrt -1) 2)) (sqrt 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (* x (pow (sqrt -1) 2)) (sqrt 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (* x (pow (sqrt -1) 2)) (sqrt 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow 256 1/16) x)) (taylor -inf x) (#s(alt (/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))) (patch (/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow 256 1/16) x)) (taylor -inf x) (#s(alt (/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))) (patch (/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow 256 1/16) x)) (taylor -inf x) (#s(alt (/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))) (patch (/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow 256 1/16) x)) (taylor -inf x) (#s(alt (/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))) (patch (/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
83.0ms
x
@0
((* (* x (pow 64 1/16)) (neg (pow 16 1/32))) (* x (pow 64 1/16)) (pow 64 1/16) (neg (pow 16 1/32)) (/ (* (* x 2) x) (* (sqrt 2) x)) (* (* x 2) x) (* x 2) (* (sqrt 2) x) (/ (- 0 (* (* x x) 2)) (* (sqrt 2) x)) (- 0 (* (* x x) 2)) (* (* x x) 2) (* x x) (* (sqrt x) (sqrt x)) (sqrt (* 2 (pow x 2))) (* (* (sqrt x) (sqrt x)) (/ 2 (sqrt 2))) (sqrt x) (/ x (neg (pow 256 -1/16))) (neg (pow 256 -1/16)) (pow 256 -1/16) (pow 16 1/32) (sqrt 2) (/ 2 (sqrt 2)))
33.0ms
x
@-inf
((* (* x (pow 64 1/16)) (neg (pow 16 1/32))) (* x (pow 64 1/16)) (pow 64 1/16) (neg (pow 16 1/32)) (/ (* (* x 2) x) (* (sqrt 2) x)) (* (* x 2) x) (* x 2) (* (sqrt 2) x) (/ (- 0 (* (* x x) 2)) (* (sqrt 2) x)) (- 0 (* (* x x) 2)) (* (* x x) 2) (* x x) (* (sqrt x) (sqrt x)) (sqrt (* 2 (pow x 2))) (* (* (sqrt x) (sqrt x)) (/ 2 (sqrt 2))) (sqrt x) (/ x (neg (pow 256 -1/16))) (neg (pow 256 -1/16)) (pow 256 -1/16) (pow 16 1/32) (sqrt 2) (/ 2 (sqrt 2)))
28.0ms
x
@inf
((* (* x (pow 64 1/16)) (neg (pow 16 1/32))) (* x (pow 64 1/16)) (pow 64 1/16) (neg (pow 16 1/32)) (/ (* (* x 2) x) (* (sqrt 2) x)) (* (* x 2) x) (* x 2) (* (sqrt 2) x) (/ (- 0 (* (* x x) 2)) (* (sqrt 2) x)) (- 0 (* (* x x) 2)) (* (* x x) 2) (* x x) (* (sqrt x) (sqrt x)) (sqrt (* 2 (pow x 2))) (* (* (sqrt x) (sqrt x)) (/ 2 (sqrt 2))) (sqrt x) (/ x (neg (pow 256 -1/16))) (neg (pow 256 -1/16)) (pow 256 -1/16) (pow 16 1/32) (sqrt 2) (/ 2 (sqrt 2)))

simplify228.0ms (1.7%)

Memory
-15.2MiB live, 103.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036856
178856
2192856
3369856
41340856
52904856
64567856
74924856
85165856
95300856
105317856
115983856
126539856
136759856
146831856
156967856
166999856
177015856
187015856
197015856
207543856
08053856
Stop Event
iter limit
node limit
Counts
180 → 172
Calls
Call 1
Inputs
(* -1 (* (pow 16 1/32) (* (pow 64 1/16) x)))
(* -1 (* (pow 16 1/32) (* (pow 64 1/16) x)))
(* -1 (* (pow 16 1/32) (* (pow 64 1/16) x)))
(* -1 (* (pow 16 1/32) (* (pow 64 1/16) x)))
(* (pow 64 1/16) x)
(* (pow 64 1/16) x)
(* (pow 64 1/16) x)
(* (pow 64 1/16) x)
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 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)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -2 (/ x (sqrt 2)))
(* -2 (/ x (sqrt 2)))
(* -2 (/ x (sqrt 2)))
(* -2 (/ 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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
x
x
x
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (pow 256 1/16) x))
(* -1 (* (pow 256 1/16) x))
(* -1 (* (pow 256 1/16) x))
(* -1 (* (pow 256 1/16) x))
(* -1 (* (pow 16 1/32) (* (pow 64 1/16) x)))
(* -1 (* (pow 16 1/32) (* (pow 64 1/16) x)))
(* -1 (* (pow 16 1/32) (* (pow 64 1/16) x)))
(* -1 (* (pow 16 1/32) (* (pow 64 1/16) x)))
(* (pow 64 1/16) x)
(* (pow 64 1/16) x)
(* (pow 64 1/16) x)
(* (pow 64 1/16) x)
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 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)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -2 (/ x (sqrt 2)))
(* -2 (/ x (sqrt 2)))
(* -2 (/ x (sqrt 2)))
(* -2 (/ 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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
x
x
x
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (pow 256 1/16) x))
(* -1 (* (pow 256 1/16) x))
(* -1 (* (pow 256 1/16) x))
(* -1 (* (pow 256 1/16) x))
(* -1 (* (pow 16 1/32) (* (pow 64 1/16) x)))
(* -1 (* (pow 16 1/32) (* (pow 64 1/16) x)))
(* -1 (* (pow 16 1/32) (* (pow 64 1/16) x)))
(* -1 (* (pow 16 1/32) (* (pow 64 1/16) x)))
(* (pow 64 1/16) x)
(* (pow 64 1/16) x)
(* (pow 64 1/16) x)
(* (pow 64 1/16) x)
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 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)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -2 (/ x (sqrt 2)))
(* -2 (/ x (sqrt 2)))
(* -2 (/ x (sqrt 2)))
(* -2 (/ 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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -2 (/ (* x (pow (sqrt -1) 2)) (sqrt 2)))
(* -2 (/ (* x (pow (sqrt -1) 2)) (sqrt 2)))
(* -2 (/ (* x (pow (sqrt -1) 2)) (sqrt 2)))
(* -2 (/ (* x (pow (sqrt -1) 2)) (sqrt 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (pow 256 1/16) x))
(* -1 (* (pow 256 1/16) x))
(* -1 (* (pow 256 1/16) x))
(* -1 (* (pow 256 1/16) x))
Outputs
(* -1 (* (pow 16 1/32) (* (pow 64 1/16) x)))
(neg.f64 (*.f64 (*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))))
(* -1 (* (pow 16 1/32) (* (pow 64 1/16) x)))
(neg.f64 (*.f64 (*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))))
(* -1 (* (pow 16 1/32) (* (pow 64 1/16) x)))
(neg.f64 (*.f64 (*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))))
(* -1 (* (pow 16 1/32) (* (pow 64 1/16) x)))
(neg.f64 (*.f64 (*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))))
(* (pow 64 1/16) x)
(*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)))
(* (pow 64 1/16) x)
(*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)))
(* (pow 64 1/16) x)
(*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)))
(* (pow 64 1/16) x)
(*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)))
(* 2 (/ x (sqrt 2)))
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(* 2 (/ x (sqrt 2)))
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(* 2 (/ x (sqrt 2)))
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(* 2 (/ x (sqrt 2)))
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -2 (/ x (sqrt 2)))
(*.f64 #s(literal -2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -2 (/ x (sqrt 2)))
(*.f64 #s(literal -2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -2 (/ x (sqrt 2)))
(*.f64 #s(literal -2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -2 (/ x (sqrt 2)))
(*.f64 #s(literal -2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
x
x
x
x
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* 2 (/ x (sqrt 2)))
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(* 2 (/ x (sqrt 2)))
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(* 2 (/ x (sqrt 2)))
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(* 2 (/ x (sqrt 2)))
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (pow 256 1/16) x))
(*.f64 (neg.f64 x) (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)))
(* -1 (* (pow 256 1/16) x))
(*.f64 (neg.f64 x) (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)))
(* -1 (* (pow 256 1/16) x))
(*.f64 (neg.f64 x) (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)))
(* -1 (* (pow 256 1/16) x))
(*.f64 (neg.f64 x) (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)))
(* -1 (* (pow 16 1/32) (* (pow 64 1/16) x)))
(neg.f64 (*.f64 (*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))))
(* -1 (* (pow 16 1/32) (* (pow 64 1/16) x)))
(neg.f64 (*.f64 (*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))))
(* -1 (* (pow 16 1/32) (* (pow 64 1/16) x)))
(neg.f64 (*.f64 (*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))))
(* -1 (* (pow 16 1/32) (* (pow 64 1/16) x)))
(neg.f64 (*.f64 (*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))))
(* (pow 64 1/16) x)
(*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)))
(* (pow 64 1/16) x)
(*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)))
(* (pow 64 1/16) x)
(*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)))
(* (pow 64 1/16) x)
(*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)))
(* 2 (/ x (sqrt 2)))
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(* 2 (/ x (sqrt 2)))
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(* 2 (/ x (sqrt 2)))
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(* 2 (/ x (sqrt 2)))
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -2 (/ x (sqrt 2)))
(*.f64 #s(literal -2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -2 (/ x (sqrt 2)))
(*.f64 #s(literal -2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -2 (/ x (sqrt 2)))
(*.f64 #s(literal -2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -2 (/ x (sqrt 2)))
(*.f64 #s(literal -2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
x
x
x
x
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* 2 (/ x (sqrt 2)))
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(* 2 (/ x (sqrt 2)))
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(* 2 (/ x (sqrt 2)))
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(* 2 (/ x (sqrt 2)))
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (pow 256 1/16) x))
(*.f64 (neg.f64 x) (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)))
(* -1 (* (pow 256 1/16) x))
(*.f64 (neg.f64 x) (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)))
(* -1 (* (pow 256 1/16) x))
(*.f64 (neg.f64 x) (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)))
(* -1 (* (pow 256 1/16) x))
(*.f64 (neg.f64 x) (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)))
(* -1 (* (pow 16 1/32) (* (pow 64 1/16) x)))
(neg.f64 (*.f64 (*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))))
(* -1 (* (pow 16 1/32) (* (pow 64 1/16) x)))
(neg.f64 (*.f64 (*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))))
(* -1 (* (pow 16 1/32) (* (pow 64 1/16) x)))
(neg.f64 (*.f64 (*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))))
(* -1 (* (pow 16 1/32) (* (pow 64 1/16) x)))
(neg.f64 (*.f64 (*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))))
(* (pow 64 1/16) x)
(*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)))
(* (pow 64 1/16) x)
(*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)))
(* (pow 64 1/16) x)
(*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)))
(* (pow 64 1/16) x)
(*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)))
(* 2 (/ x (sqrt 2)))
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(* 2 (/ x (sqrt 2)))
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(* 2 (/ x (sqrt 2)))
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(* 2 (/ x (sqrt 2)))
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -2 (/ x (sqrt 2)))
(*.f64 #s(literal -2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -2 (/ x (sqrt 2)))
(*.f64 #s(literal -2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -2 (/ x (sqrt 2)))
(*.f64 #s(literal -2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -2 (/ x (sqrt 2)))
(*.f64 #s(literal -2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1 (* x (pow (sqrt -1) 2)))
x
(* -1 (* x (pow (sqrt -1) 2)))
x
(* -1 (* x (pow (sqrt -1) 2)))
x
(* -1 (* x (pow (sqrt -1) 2)))
x
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -2 (/ (* x (pow (sqrt -1) 2)) (sqrt 2)))
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(* -2 (/ (* x (pow (sqrt -1) 2)) (sqrt 2)))
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(* -2 (/ (* x (pow (sqrt -1) 2)) (sqrt 2)))
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(* -2 (/ (* x (pow (sqrt -1) 2)) (sqrt 2)))
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (pow 256 1/16) x))
(*.f64 (neg.f64 x) (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)))
(* -1 (* (pow 256 1/16) x))
(*.f64 (neg.f64 x) (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)))
(* -1 (* (pow 256 1/16) x))
(*.f64 (neg.f64 x) (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)))
(* -1 (* (pow 256 1/16) x))
(*.f64 (neg.f64 x) (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)))

rewrite216.0ms (1.6%)

Memory
32.3MiB live, 424.6MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034127
055123
1180106
295088
0858888
Stop Event
iter limit
node limit
iter limit
Counts
22 → 2 493
Calls
Call 1
Inputs
(*.f64 (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))))
(*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)))
(pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))
(neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 x)
(/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64))))
(neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))
(pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64))
(pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))
(sqrt.f64 #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
Outputs
(*.f64 (/.f64 x (neg.f64 (pow.f64 #s(literal 4294967296 binary64) #s(literal -1/32 binary64)))) (pow.f64 #s(literal 65536 binary64) #s(literal -1/32 binary64)))
(*.f64 (/.f64 x (neg.f64 (pow.f64 #s(literal 65536 binary64) #s(literal -3/32 binary64)))) (pow.f64 #s(literal 4294967296 binary64) #s(literal -1/32 binary64)))
(*.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64))) (pow.f64 #s(literal 4096 binary64) #s(literal 1/64 binary64))) (pow.f64 #s(literal 4096 binary64) #s(literal 1/64 binary64)))
(*.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 #s(literal 4096 binary64) #s(literal 1/32 binary64))) (pow.f64 #s(literal 256 binary64) #s(literal 1/128 binary64))) (pow.f64 #s(literal 256 binary64) #s(literal 1/128 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/128 binary64)) (*.f64 (pow.f64 #s(literal 4096 binary64) #s(literal 1/32 binary64)) x))) (pow.f64 #s(literal 256 binary64) #s(literal 1/128 binary64)))
(*.f64 (*.f64 (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64))) (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 4096 binary64) #s(literal 1/32 binary64)))) (sqrt.f64 x))
(*.f64 (*.f64 (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64))) (*.f64 (pow.f64 #s(literal 4096 binary64) #s(literal 1/64 binary64)) x)) (pow.f64 #s(literal 4096 binary64) #s(literal 1/64 binary64)))
(*.f64 (*.f64 (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64))) (*.f64 (pow.f64 #s(literal 4096 binary64) #s(literal 1/64 binary64)) (sqrt.f64 x))) (*.f64 (pow.f64 #s(literal 4096 binary64) #s(literal 1/64 binary64)) (sqrt.f64 x)))
(*.f64 (*.f64 (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64))) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 4096 binary64) #s(literal 1/32 binary64))))
(*.f64 (*.f64 (*.f64 (pow.f64 #s(literal 4096 binary64) #s(literal 1/32 binary64)) x) (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/128 binary64)))) (pow.f64 #s(literal 256 binary64) #s(literal 1/128 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 x) (pow.f64 #s(literal 65536 binary64) #s(literal -1/64 binary64)))) (/.f64 (sqrt.f64 x) (pow.f64 #s(literal 65536 binary64) #s(literal -1/64 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 65536 binary64) #s(literal 1/32 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (pow.f64 #s(literal 65536 binary64) #s(literal 1/32 binary64)))
(*.f64 (neg.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/128 binary64)) (*.f64 (pow.f64 #s(literal 4096 binary64) #s(literal 1/32 binary64)) x))) (pow.f64 #s(literal 256 binary64) #s(literal 1/128 binary64)))
(*.f64 (neg.f64 (pow.f64 #s(literal 4096 binary64) #s(literal 1/32 binary64))) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64)) x))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 x) (pow.f64 #s(literal 65536 binary64) #s(literal -1/64 binary64)))) (/.f64 (sqrt.f64 x) (pow.f64 #s(literal 65536 binary64) #s(literal -1/64 binary64))))
(*.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 #s(literal 65536 binary64) #s(literal -1/32 binary64))) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (neg.f64 (pow.f64 #s(literal 65536 binary64) #s(literal -1/32 binary64))) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 65536 binary64) #s(literal -1/32 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/32 binary64))) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (neg.f64 x) (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64))) (pow.f64 #s(literal 4096 binary64) #s(literal 1/32 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 4096 binary64) #s(literal 1/32 binary64))) (*.f64 (sqrt.f64 x) (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64)))))
(*.f64 (*.f64 (pow.f64 #s(literal 4096 binary64) #s(literal 1/64 binary64)) (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64)))) (*.f64 (pow.f64 #s(literal 4096 binary64) #s(literal 1/64 binary64)) x))
(*.f64 (*.f64 (neg.f64 x) (pow.f64 #s(literal 4096 binary64) #s(literal 1/32 binary64))) (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64)))
(*.f64 (*.f64 (pow.f64 #s(literal 4096 binary64) #s(literal 1/64 binary64)) x) (*.f64 (pow.f64 #s(literal 4096 binary64) #s(literal 1/64 binary64)) (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64)))))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 #s(literal 4096 binary64) #s(literal 1/32 binary64))) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64)) x))
(*.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/128 binary64)) (*.f64 (pow.f64 #s(literal 4096 binary64) #s(literal 1/32 binary64)) x)) (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/128 binary64))))
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 65536 binary64) #s(literal 1/32 binary64))))
(*.f64 (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/128 binary64))) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/128 binary64)) (*.f64 (pow.f64 #s(literal 4096 binary64) #s(literal 1/32 binary64)) x)))
(*.f64 (*.f64 (pow.f64 #s(literal 4096 binary64) #s(literal 1/64 binary64)) (sqrt.f64 x)) (*.f64 (*.f64 (pow.f64 #s(literal 4096 binary64) #s(literal 1/64 binary64)) (sqrt.f64 x)) (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64)))))
(*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/32 binary64)) (neg.f64 x))
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 65536 binary64) #s(literal 1/32 binary64))) (*.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 65536 binary64) #s(literal 1/32 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 #s(literal 65536 binary64) #s(literal -1/64 binary64))) (neg.f64 (/.f64 (sqrt.f64 x) (pow.f64 #s(literal 65536 binary64) #s(literal -1/64 binary64)))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (neg.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/32 binary64))) (sqrt.f64 x))))
(*.f64 (/.f64 x (pow.f64 #s(literal 65536 binary64) #s(literal -1/32 binary64))) #s(literal -1 binary64))
(*.f64 (pow.f64 #s(literal 4096 binary64) #s(literal 1/64 binary64)) (*.f64 (*.f64 (pow.f64 #s(literal 4096 binary64) #s(literal 1/64 binary64)) (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64)))) x))
(*.f64 (pow.f64 #s(literal 4096 binary64) #s(literal 1/64 binary64)) (*.f64 (*.f64 (pow.f64 #s(literal 4096 binary64) #s(literal 1/64 binary64)) x) (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64)))))
(*.f64 (pow.f64 #s(literal 4096 binary64) #s(literal 1/64 binary64)) (*.f64 (pow.f64 #s(literal 4096 binary64) #s(literal 1/64 binary64)) (*.f64 (neg.f64 x) (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64)))))
(*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/128 binary64)) (*.f64 (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/128 binary64))) (*.f64 (pow.f64 #s(literal 4096 binary64) #s(literal 1/32 binary64)) x)))
(*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 #s(literal 65536 binary64) #s(literal -1/32 binary64))))
(*.f64 (neg.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/32 binary64))) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/32 binary64))) x)
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/32 binary64)) (neg.f64 x)))
(*.f64 (neg.f64 x) (pow.f64 #s(literal 65536 binary64) #s(literal 1/32 binary64)))
(*.f64 (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/32 binary64)) (neg.f64 x)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 #s(literal 65536 binary64) #s(literal 1/32 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 (neg.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/32 binary64))) (sqrt.f64 x)))
(*.f64 (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64))) (*.f64 (pow.f64 #s(literal 4096 binary64) #s(literal 1/32 binary64)) x))
(*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64)) (*.f64 (neg.f64 x) (pow.f64 #s(literal 4096 binary64) #s(literal 1/32 binary64))))
(*.f64 (*.f64 (pow.f64 #s(literal 4096 binary64) #s(literal 1/32 binary64)) x) (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64))))
(*.f64 (pow.f64 #s(literal 4096 binary64) #s(literal 1/32 binary64)) (*.f64 (neg.f64 x) (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64))))
(*.f64 x (neg.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/32 binary64))))
(pow.f64 (/.f64 (neg.f64 (pow.f64 #s(literal 65536 binary64) #s(literal -1/32 binary64))) x) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 x) (pow.f64 #s(literal 65536 binary64) #s(literal -1/64 binary64))) (pow.f64 #s(literal 65536 binary64) #s(literal -1/64 binary64)))
(/.f64 (/.f64 x (neg.f64 (pow.f64 #s(literal 65536 binary64) #s(literal -1/64 binary64)))) (pow.f64 #s(literal 65536 binary64) #s(literal -1/64 binary64)))
(/.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (neg.f64 (pow.f64 #s(literal 65536 binary64) #s(literal -1/32 binary64))))
(/.f64 (*.f64 (neg.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64))) (*.f64 (pow.f64 #s(literal 4096 binary64) #s(literal 1/32 binary64)) x)) (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal 3/64 binary64))) (*.f64 (pow.f64 #s(literal 4096 binary64) #s(literal 1/32 binary64)) x)) (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64)))
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(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
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(*.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) x))
(*.f64 (sqrt.f64 x) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 x (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(pow.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x))) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
(/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)))
(sqrt.f64 #s(literal 2 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))

eval446.0ms (3.3%)

Memory
21.8MiB live, 685.3MiB allocated
Compiler

Compiled 46 720 to 5 200 computations (88.9% saved)

prune462.0ms (3.5%)

Memory
9.1MiB live, 767.8MiB allocated
Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New3 11933 122
Fresh808
Picked415
Done156
Total3 13293 141
Accuracy
100.0%
Counts
3 141 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.7%
(/.f64 (neg.f64 x) (sqrt.f64 #s(literal 1/2 binary64)))
47.8%
(/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
53.7%
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))
53.8%
(*.f64 (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))))
46.7%
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
47.8%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
49.9%
(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x))))
5.2%
(sqrt.f64 #s(literal 2 binary64))
53.7%
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
Compiler

Compiled 294 to 152 computations (48.3% saved)

regimes39.0ms (0.3%)

Memory
6.3MiB live, 81.5MiB allocated
Counts
31 → 2
Calls
Call 1
Inputs
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x))))
(/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (neg.f64 x) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 x (fabs.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 x)))))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))
(/.f64 x (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))
(/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal -1 binary64)))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))))
(/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x)
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
(*.f64 (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))))
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
Outputs
(*.f64 (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
Calls

4 calls:

11.0ms
(pow.f64 x #s(literal 2 binary64))
10.0ms
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
9.0ms
x
8.0ms
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
99.5%2x
77.7%3(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
77.7%3(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
77.7%3(pow.f64 x #s(literal 2 binary64))
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes12.0ms (0.1%)

Memory
-13.6MiB live, 23.2MiB allocated
Counts
29 → 2
Calls
Call 1
Inputs
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x))))
(/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (neg.f64 x) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 x (fabs.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 x)))))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))
(/.f64 x (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))
(/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal -1 binary64)))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))))
(/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x)
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
Outputs
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
Calls

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
99.4%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0%)

Memory
8.0MiB live, 8.0MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x))))
(/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (neg.f64 x) (sqrt.f64 #s(literal 1/2 binary64)))
Outputs
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.3%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0%)

Memory
6.8MiB live, 6.9MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (*.f64 x x))))
Outputs
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.3%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes11.0ms (0.1%)

Memory
-22.1MiB live, 17.1MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
Outputs
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
Calls

4 calls:

6.0ms
x
1.0ms
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
1.0ms
(pow.f64 x #s(literal 2 binary64))
1.0ms
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
47.8%1(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
47.8%1(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
47.8%1(pow.f64 x #s(literal 2 binary64))
49.6%2x
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes5.0ms (0%)

Memory
14.8MiB live, 14.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

1.0ms
x
1.0ms
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
1.0ms
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
1.0ms
(pow.f64 x #s(literal 2 binary64))
Results
AccuracySegmentsBranch
5.2%1(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
5.2%1(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
5.2%1(pow.f64 x #s(literal 2 binary64))
5.2%1x
Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch14.0ms (0.1%)

Memory
-12.1MiB live, 25.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
-9.43254960790125e-308
6.794848021814746e-307
Samples
7.0ms128×0valid
Compiler

Compiled 145 to 153 computations (-5.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-pow2: 3.0ms (59.1% of total)
ival-mult: 1.0ms (19.7% of total)
ival-sqrt: 1.0ms (19.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-9.43254960790125e-308
6.794848021814746e-307
Compiler

Compiled 113 to 121 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-9.43254960790125e-308
6.794848021814746e-307
Compiler

Compiled 89 to 105 computations (-18% saved)

bsearch1.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-9.43254960790125e-308
6.794848021814746e-307
Compiler

Compiled 89 to 105 computations (-18% saved)

bsearch16.0ms (0.1%)

Memory
-6.4MiB live, 30.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
-4.1055324195542215e-200
-3.198916386243463e-211
Samples
7.0ms160×0valid
Compiler

Compiled 69 to 99 computations (-43.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-pow2: 2.0ms (50.5% of total)
ival-mult: 1.0ms (25.3% of total)
ival-sqrt: 1.0ms (25.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify24.0ms (0.2%)

Memory
27.6MiB live, 64.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03596
15196
26696
38296
49096
59496
69596
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))) (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)))
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)))
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(if (<=.f64 x #s(literal -7229475734293037/180736893357325919804742965901096183254486650358500961579737723575212405143116703993975930943694719806137463391890175780999890999416217020648099397663164550811570949854893831716648452639533025774320471006645409943407034368 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(sqrt.f64 #s(literal 2 binary64))
Outputs
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))) (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)))
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)))
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(if (<=.f64 x #s(literal -7229475734293037/180736893357325919804742965901096183254486650358500961579737723575212405143116703993975930943694719806137463391890175780999890999416217020648099397663164550811570949854893831716648452639533025774320471006645409943407034368 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(sqrt.f64 #s(literal 2 binary64))

soundness8.4s (63.1%)

Memory
-7.3MiB live, 631.0MiB allocated
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
028116
045103
1122103
243878
3270573
0866773
08148
115148
232148
338148
442148
554148
666148
777148
897148
9102148
0102148
0514
0814
12212
25712
318612
47654
561794
090304
01454
02155
14653
211253
346953
4378249
0839949
034127
055123
1180106
295088
0858888
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
saturated
iter limit
node limit
iter limit
Compiler

Compiled 143 to 85 computations (40.6% saved)

preprocess94.0ms (0.7%)

Memory
-9.6MiB live, 85.7MiB allocated
Compiler

Compiled 168 to 74 computations (56% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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