Data.Colour.CIE:cieLAB from colour-2.3.3, B

Time bar (total: 3.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 7 to 7 computations (0% saved)

sample884.0ms (25.8%)

Memory
1.4MiB live, 681.5MiB allocated
Samples
516.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 392.0ms
ival-div: 209.0ms (53.4% of total)
ival-add: 166.0ms (42.4% of total)
exact: 8.0ms (2% of total)
ival-true: 5.0ms (1.3% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

explain93.0ms (2.7%)

Memory
11.3MiB live, 86.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
00-0-(+.f64 x #s(literal 16 binary64))
00-0-#s(literal 16 binary64)
00-0-#s(literal 116 binary64)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
46.0ms512×0valid
Compiler

Compiled 42 to 28 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-add: 31.0ms (86.1% of total)
ival-div: 4.0ms (11.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess27.0ms (0.8%)

Memory
-14.4MiB live, 24.7MiB allocated
Algorithm
egg-herbie
Rules
36×div-sub
30×sub-neg
28×distribute-lft-neg-in
26×associate-/l*
26×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0712
11910
23410
37510
416110
524010
625810
726210
055
075
185
085
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
Outputs
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
(/.f64 (+.f64 #s(literal 16 binary64) x) #s(literal 116 binary64))
Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
Compiler

Compiled 5 to 5 computations (0% saved)

simplify3.0ms (0.1%)

Memory
6.5MiB live, 6.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x #s(literal 16 binary64))
cost-diff0
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
Rules
lower-+.f32
lift-+.f64
lift-/.f64
lower-+.f64
lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
0711
1811
0811
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
(+.f64 x #s(literal 16 binary64))
x
#s(literal 16 binary64)
#s(literal 116 binary64)
Outputs
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
(/.f64 (+.f64 #s(literal 16 binary64) x) #s(literal 116 binary64))
(+.f64 x #s(literal 16 binary64))
(+.f64 #s(literal 16 binary64) x)
x
#s(literal 16 binary64)
#s(literal 116 binary64)

localize20.0ms (0.6%)

Memory
-35.5MiB live, 24.2MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 x #s(literal 16 binary64))
accuracy0.00390625
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
Samples
16.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 8.0ms (79% of total)
ival-add: 2.0ms (19.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated
Counts
2 → 24
Calls
Call 1
Inputs
#s(alt (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) (patch (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 x #s(literal 16 binary64)) (patch (+.f64 x #s(literal 16 binary64)) #<representation binary64>) () ())
Outputs
#s(alt 4/29 (taylor 0 x) (#s(alt (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) (patch (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) (patch (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) (patch (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) (patch (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt 16 (taylor 0 x) (#s(alt (+.f64 x #s(literal 16 binary64)) (patch (+.f64 x #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 16 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 16 binary64)) (patch (+.f64 x #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 16 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 16 binary64)) (patch (+.f64 x #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 16 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 16 binary64)) (patch (+.f64 x #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor inf x) (#s(alt (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) (patch (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) (patch (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) (patch (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) (patch (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x #s(literal 16 binary64)) (patch (+.f64 x #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 x #s(literal 16 binary64)) (patch (+.f64 x #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 x #s(literal 16 binary64)) (patch (+.f64 x #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 x #s(literal 16 binary64)) (patch (+.f64 x #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor -inf x) (#s(alt (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) (patch (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) (patch (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) (patch (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) (patch (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x #s(literal 16 binary64)) (patch (+.f64 x #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 16 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 16 binary64)) (patch (+.f64 x #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 16 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 16 binary64)) (patch (+.f64 x #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 16 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 16 binary64)) (patch (+.f64 x #s(literal 16 binary64)) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
((/ (+ x 16) 116) (+ x 16))
0.0ms
x
@-inf
((/ (+ x 16) 116) (+ x 16))
0.0ms
x
@0
((/ (+ x 16) 116) (+ x 16))

simplify6.0ms (0.2%)

Memory
11.1MiB live, 11.1MiB allocated
Algorithm
egg-herbie
Rules
72×lower-*.f64
72×lower-*.f32
32×associate-*r*
32×associate-*l*
28×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01582
14182
26782
314082
414082
514382
614882
714882
014873
Stop Event
iter limit
saturated
Counts
24 → 22
Calls
Call 1
Inputs
4/29
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
16
(+ 16 x)
(+ 16 x)
(+ 16 x)
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
x
(* x (+ 1 (* 16 (/ 1 x))))
(* x (+ 1 (* 16 (/ 1 x))))
(* x (+ 1 (* 16 (/ 1 x))))
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
x
(* x (+ 1 (* 16 (/ 1 x))))
(* x (+ 1 (* 16 (/ 1 x))))
(* x (+ 1 (* 16 (/ 1 x))))
Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 1/116 x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 1/116 x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 1/116 x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
16
#s(literal 16 binary64)
(+ 16 x)
(+.f64 #s(literal 16 binary64) x)
(+ 16 x)
(+.f64 #s(literal 16 binary64) x)
(+ 16 x)
(+.f64 #s(literal 16 binary64) x)
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
x
(* x (+ 1 (* 16 (/ 1 x))))
(+.f64 #s(literal 16 binary64) x)
(* x (+ 1 (* 16 (/ 1 x))))
(+.f64 #s(literal 16 binary64) x)
(* x (+ 1 (* 16 (/ 1 x))))
(+.f64 #s(literal 16 binary64) x)
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
x
(* x (+ 1 (* 16 (/ 1 x))))
(+.f64 #s(literal 16 binary64) x)
(* x (+ 1 (* 16 (/ 1 x))))
(+.f64 #s(literal 16 binary64) x)
(* x (+ 1 (* 16 (/ 1 x))))
(+.f64 #s(literal 16 binary64) x)

rewrite280.0ms (8.1%)

Memory
6.1MiB live, 198.9MiB allocated
Rules
5 334×lower-/.f32
5 332×lower-/.f64
3 418×lower-*.f64
3 418×lower-*.f32
2 760×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
078
1338
21778
314408
084047
Stop Event
iter limit
node limit
iter limit
Counts
2 → 416
Calls
Call 1
Inputs
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
(+.f64 x #s(literal 16 binary64))
Outputs
(*.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -256 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1/116 binary64) (-.f64 x #s(literal 16 binary64))))
(*.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -256 binary64))) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (-.f64 #s(literal 256 binary64) (*.f64 x x)))) (/.f64 #s(literal -1/116 binary64) (-.f64 #s(literal 16 binary64) x)))
(*.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -256 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -256 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1/116 binary64) (-.f64 x #s(literal 16 binary64))))
(*.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -256 binary64))) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (-.f64 #s(literal -4096 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1/116 binary64) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))))
(*.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -256 binary64))) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (+.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal -1/116 binary64) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1/116 binary64) (-.f64 x #s(literal 16 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1/116 binary64) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal -4096 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1/116 binary64) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (-.f64 #s(literal 256 binary64) (*.f64 x x)))) (/.f64 (*.f64 (fma.f64 x x #s(literal -256 binary64)) #s(literal 1/116 binary64)) (-.f64 #s(literal 16 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (-.f64 #s(literal -4096 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (*.f64 (fma.f64 x x #s(literal -256 binary64)) #s(literal 1/116 binary64)) (neg.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (+.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (*.f64 (fma.f64 x x #s(literal -256 binary64)) #s(literal 1/116 binary64)) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))))
(*.f64 (/.f64 #s(literal 1/116 binary64) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (-.f64 #s(literal 256 binary64) (*.f64 x x)))) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (-.f64 #s(literal 16 binary64) x)))
(*.f64 (/.f64 #s(literal 1/116 binary64) (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -256 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal -16 binary64) x))
(*.f64 (/.f64 #s(literal 1/116 binary64) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (-.f64 #s(literal -4096 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (neg.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)))))
(*.f64 (/.f64 #s(literal 1/116 binary64) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (+.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))))
(*.f64 (/.f64 #s(literal 1/116 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64))) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (pow.f64 (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1/116 binary64) (fma.f64 x x #s(literal -256 binary64))) (*.f64 (fma.f64 x x #s(literal -256 binary64)) (-.f64 x #s(literal -16 binary64))))
(*.f64 (/.f64 #s(literal 1/116 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -16 binary64) x #s(literal 256 binary64)) #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 (fma.f64 x x #s(literal -256 binary64)) (*.f64 #s(literal -16 binary64) x)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1/116 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal -16 binary64) x #s(literal 256 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (+.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal -16 binary64) x #s(literal 256 binary64)) (-.f64 (fma.f64 #s(literal -16 binary64) x #s(literal 256 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 65536 binary64)) #s(literal -116 binary64)) (/.f64 (pow.f64 (fma.f64 x x #s(literal 256 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal 16 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 65536 binary64)) #s(literal 116 binary64)) (/.f64 (pow.f64 (fma.f64 x x #s(literal 256 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 16 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 16777216 binary64)) #s(literal -116 binary64)) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 16777216 binary64)) #s(literal -116 binary64)) (/.f64 (pow.f64 (+.f64 (fma.f64 #s(literal 256 binary64) (*.f64 x x) #s(literal 65536 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal 16 binary64))))
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(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 65536 binary64)) (*.f64 (fma.f64 x x #s(literal 256 binary64)) (-.f64 x #s(literal 16 binary64))))
(/.f64 (-.f64 #s(literal 256 binary64) (*.f64 x x)) (-.f64 #s(literal 16 binary64) x))
(/.f64 (pow.f64 (-.f64 x #s(literal 16 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -256 binary64)) #s(literal -1 binary64)))
(/.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 16777216 binary64)) (*.f64 (-.f64 x #s(literal 16 binary64)) (+.f64 (fma.f64 #s(literal 256 binary64) (*.f64 x x) #s(literal 65536 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 16777216 binary64)) (*.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 16777216 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 256 binary64) (*.f64 x x) #s(literal 65536 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x #s(literal 16 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 16777216 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64)) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))))
(/.f64 (+.f64 #s(literal 68719476736 binary64) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 16777216 binary64)) (*.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (+.f64 #s(literal 68719476736 binary64) (pow.f64 x #s(literal 9 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 16777216 binary64)) (*.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -256 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal 16 binary64)))
(/.f64 (-.f64 #s(literal -4096 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))))
(/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal -16 binary64) x) #s(literal -1 binary64)))
(/.f64 (fma.f64 x x #s(literal -256 binary64)) (-.f64 x #s(literal 16 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 256 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 65536 binary64)) (-.f64 x #s(literal 16 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 #s(literal 256 binary64) (*.f64 x x) #s(literal 65536 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 16777216 binary64)) (-.f64 x #s(literal 16 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 16777216 binary64)) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 16777216 binary64)) (*.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (+.f64 #s(literal 68719476736 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64))) (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64)))) (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64)))) (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64)))))) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x x #s(literal 256 binary64)) (-.f64 x #s(literal 16 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 65536 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (fma.f64 #s(literal 256 binary64) (*.f64 x x) #s(literal 65536 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x #s(literal 16 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 16777216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64)) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 16777216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 16777216 binary64)) (*.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) (+.f64 #s(literal 68719476736 binary64) (pow.f64 x #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 16 binary64))) (*.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x #s(literal 16 binary64)) (fma.f64 x x #s(literal 256 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 65536 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x #s(literal 16 binary64)) (+.f64 (fma.f64 #s(literal 256 binary64) (*.f64 x x) #s(literal 65536 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 16777216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 16777216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 16777216 binary64)) (*.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 68719476736 binary64) (pow.f64 x #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (-.f64 #s(literal -16 binary64) x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal -16 binary64)) #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)))
(/.f64 (-.f64 #s(literal -16 binary64) x) #s(literal -1 binary64))
(/.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1 binary64))
(neg.f64 (-.f64 #s(literal -16 binary64) x))
(fma.f64 (/.f64 x (/.f64 (fma.f64 x x #s(literal -256 binary64)) (-.f64 #s(literal 256 binary64) (*.f64 x x)))) (/.f64 x (-.f64 #s(literal 16 binary64) x)) (neg.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64)))))
(fma.f64 (/.f64 x (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -256 binary64))) #s(literal 1 binary64))) (/.f64 x (fma.f64 #s(literal -1 binary64) x #s(literal 16 binary64))) (neg.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64)))))
(fma.f64 (/.f64 x (/.f64 (fma.f64 x x #s(literal -256 binary64)) (-.f64 #s(literal -4096 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 x (neg.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)))) (neg.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64)))))
(fma.f64 (/.f64 x (/.f64 (fma.f64 x x #s(literal -256 binary64)) (+.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 x (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) (neg.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64)))))
(fma.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64))) (/.f64 x (pow.f64 (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64)))))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (-.f64 x #s(literal 16 binary64))) (neg.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64)))))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64))) (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64))) (neg.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64)))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -256 binary64))) (-.f64 x #s(literal -16 binary64)) (neg.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64)))))
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -256 binary64))) (/.f64 x (pow.f64 (-.f64 x #s(literal -16 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64)))))
(fma.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 16 binary64))) (neg.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) #s(literal 16 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64)))) (neg.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64)))))
(fma.f64 #s(literal 256 binary64) (pow.f64 (-.f64 #s(literal 16 binary64) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 16 binary64) x))))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal 16 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64)))))
(fma.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64))) (neg.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) x)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 16 binary64) x)) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64)))) #s(literal 2 binary64)) (fma.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64))) (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64))))) (/.f64 (pow.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64))) #s(literal 2 binary64)) (fma.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64))) (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64)))) (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64))))))) (/.f64 (pow.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64)))) (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64))))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 16 binary64))) (pow.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) (pow.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 x #s(literal 16 binary64)) (fma.f64 x x #s(literal 256 binary64)))) (/.f64 #s(literal 65536 binary64) (*.f64 (-.f64 x #s(literal 16 binary64)) (fma.f64 x x #s(literal 256 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 x #s(literal 16 binary64)) (+.f64 (fma.f64 #s(literal 256 binary64) (*.f64 x x) #s(literal 65536 binary64)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 16777216 binary64) (*.f64 (-.f64 x #s(literal 16 binary64)) (+.f64 (fma.f64 #s(literal 256 binary64) (*.f64 x x) #s(literal 65536 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64)))) (/.f64 #s(literal 16777216 binary64) (*.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 16 binary64))) (-.f64 #s(literal -16 binary64) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)))) (-.f64 #s(literal -16 binary64) x))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 256 binary64))) (-.f64 x #s(literal 16 binary64))) (/.f64 (/.f64 #s(literal 65536 binary64) (fma.f64 x x #s(literal 256 binary64))) (-.f64 x #s(literal 16 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 256 binary64) (*.f64 x x) #s(literal 65536 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x #s(literal 16 binary64))) (/.f64 (/.f64 #s(literal 16777216 binary64) (+.f64 (fma.f64 #s(literal 256 binary64) (*.f64 x x) #s(literal 65536 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x #s(literal 16 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64))) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) (/.f64 (/.f64 #s(literal 16777216 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64))) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))))
(-.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 16 binary64) x)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64)))) (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -16 binary64) x) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -16 binary64) x))
(-.f64 #s(literal 16 binary64) (neg.f64 x))
(-.f64 x #s(literal -16 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x #s(literal -16 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 16 binary64) x))))
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64)))) (neg.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64)))))
(+.f64 #s(literal 0 binary64) (-.f64 x #s(literal -16 binary64)))
(+.f64 #s(literal 16 binary64) x)
(+.f64 x #s(literal 16 binary64))

eval174.0ms (5.1%)

Memory
0.2MiB live, 119.9MiB allocated
Compiler

Compiled 8 443 to 1 239 computations (85.3% saved)

prune181.0ms (5.3%)

Memory
12.9MiB live, 130.2MiB allocated
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New4335438
Fresh000
Picked011
Done000
Total4336439
Accuracy
100.0%
Counts
439 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
70.7%
(/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)))
100.0%
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
99.9%
(*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64))
56.7%
#s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64)))
45.0%
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))
Compiler

Compiled 53 to 51 computations (3.8% saved)

simplify5.0ms (0.2%)

Memory
8.0MiB live, 8.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
cost-diff0
(fma.f64 x x #s(literal -256 binary64))
cost-diff0
(/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)))
cost-diff0
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
cost-diff0
(*.f64 x #s(literal 1/116 binary64))
cost-diff0
#s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64)))
cost-diff0
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))
cost-diff0
(-.f64 x #s(literal -16 binary64))
cost-diff128
(*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64))
Rules
20×lower-+.f64
20×lower-+.f32
14×lower-*.f32
10×lower-*.f64
10×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01961
02862
13760
24360
34560
44660
04660
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64))
(-.f64 x #s(literal -16 binary64))
x
#s(literal -16 binary64)
#s(literal 1/116 binary64)
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))
#s(literal 4/29 binary64)
#s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64)))
(*.f64 x #s(literal 1/116 binary64))
x
#s(literal 1/116 binary64)
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
x
#s(literal 1/116 binary64)
#s(literal 4/29 binary64)
(/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)))
(fma.f64 x x #s(literal -256 binary64))
x
#s(literal -256 binary64)
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
#s(literal 116 binary64)
#s(literal -1856 binary64)
Outputs
(*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(-.f64 x #s(literal -16 binary64))
x
#s(literal -16 binary64)
#s(literal 1/116 binary64)
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))
#s(literal 4/29 binary64)
#s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64)))
#s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x))
(*.f64 x #s(literal 1/116 binary64))
(*.f64 #s(literal 1/116 binary64) x)
x
#s(literal 1/116 binary64)
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
x
#s(literal 1/116 binary64)
#s(literal 4/29 binary64)
(/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)))
(fma.f64 x x #s(literal -256 binary64))
x
#s(literal -256 binary64)
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
#s(literal 116 binary64)
#s(literal -1856 binary64)

localize122.0ms (3.6%)

Memory
-18.7MiB live, 63.6MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 x x #s(literal -256 binary64))
accuracy0
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
accuracy18.716512585722178
(/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)))
accuracy0.046875
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
accuracy0.07421875
(*.f64 x #s(literal 1/116 binary64))
accuracy27.71119776529208
#s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64)))
accuracy35.21733319600164
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))
accuracy0
(-.f64 x #s(literal -16 binary64))
accuracy0.04296875
(*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64))
Samples
111.0ms254×0valid
1.0ms2valid
Compiler

Compiled 62 to 21 computations (66.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 101.0ms
const: 50.0ms (49.5% of total)
ival-mult: 40.0ms (39.6% of total)
ival-add: 5.0ms (4.9% of total)
ival-div: 4.0ms (4% of total)
ival-sub: 2.0ms (2% of total)
exact: 1.0ms (1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series7.0ms (0.2%)

Memory
9.6MiB live, 9.6MiB allocated
Counts
9 → 108
Calls
Call 1
Inputs
#s(alt (*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) (patch (*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal -16 binary64)) (patch (-.f64 x #s(literal -16 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) (patch #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64))) (patch #s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 1/116 binary64)) (patch (*.f64 x #s(literal 1/116 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (patch (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x x #s(literal -256 binary64)) (patch (fma.f64 x x #s(literal -256 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) (patch (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #<representation binary64>) () ())
Outputs
#s(alt 4/29 (taylor 0 x) (#s(alt (*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) (patch (*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt (*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) (patch (*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt (*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) (patch (*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt (*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) (patch (*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt 16 (taylor 0 x) (#s(alt (-.f64 x #s(literal -16 binary64)) (patch (-.f64 x #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 16 x) (taylor 0 x) (#s(alt (-.f64 x #s(literal -16 binary64)) (patch (-.f64 x #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 16 x) (taylor 0 x) (#s(alt (-.f64 x #s(literal -16 binary64)) (patch (-.f64 x #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 16 x) (taylor 0 x) (#s(alt (-.f64 x #s(literal -16 binary64)) (patch (-.f64 x #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt 4/29 (taylor 0 x) (#s(alt #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) (patch #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) (patch #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) (patch #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) (patch #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt 4/29 (taylor 0 x) (#s(alt #s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64))) (patch #s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt #s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64))) (patch #s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt #s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64))) (patch #s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt #s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64))) (patch #s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/116 binary64)) (patch (*.f64 x #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/116 binary64)) (patch (*.f64 x #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/116 binary64)) (patch (*.f64 x #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/116 binary64)) (patch (*.f64 x #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt 4/29 (taylor 0 x) (#s(alt (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt 4/29 (taylor 0 x) (#s(alt (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (patch (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (patch (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (patch (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (patch (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) #<representation binary64>) () ())) ())
#s(alt -256 (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -256 binary64)) (patch (fma.f64 x x #s(literal -256 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 256) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -256 binary64)) (patch (fma.f64 x x #s(literal -256 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 256) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -256 binary64)) (patch (fma.f64 x x #s(literal -256 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 256) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -256 binary64)) (patch (fma.f64 x x #s(literal -256 binary64)) #<representation binary64>) () ())) ())
#s(alt -1856 (taylor 0 x) (#s(alt (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) (patch (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 1856) (taylor 0 x) (#s(alt (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) (patch (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 1856) (taylor 0 x) (#s(alt (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) (patch (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 1856) (taylor 0 x) (#s(alt (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) (patch (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor inf x) (#s(alt (*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) (patch (*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) (patch (*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) (patch (*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) (patch (*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x #s(literal -16 binary64)) (patch (-.f64 x #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x #s(literal -16 binary64)) (patch (-.f64 x #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x #s(literal -16 binary64)) (patch (-.f64 x #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x #s(literal -16 binary64)) (patch (-.f64 x #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor inf x) (#s(alt #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) (patch #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) (patch #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) (patch #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) (patch #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor inf x) (#s(alt #s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64))) (patch #s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64))) (patch #s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64))) (patch #s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64))) (patch #s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/116 binary64)) (patch (*.f64 x #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/116 binary64)) (patch (*.f64 x #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/116 binary64)) (patch (*.f64 x #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/116 binary64)) (patch (*.f64 x #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor inf x) (#s(alt (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (patch (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (patch (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (patch (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (patch (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -256 binary64)) (patch (fma.f64 x x #s(literal -256 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -256 binary64)) (patch (fma.f64 x x #s(literal -256 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -256 binary64)) (patch (fma.f64 x x #s(literal -256 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -256 binary64)) (patch (fma.f64 x x #s(literal -256 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor inf x) (#s(alt (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) (patch (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 1856 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) (patch (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 1856 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) (patch (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 1856 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) (patch (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) (patch (*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) (patch (*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) (patch (*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) (patch (*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal -16 binary64)) (patch (-.f64 x #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 16 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 x #s(literal -16 binary64)) (patch (-.f64 x #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 16 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 x #s(literal -16 binary64)) (patch (-.f64 x #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 16 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 x #s(literal -16 binary64)) (patch (-.f64 x #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor -inf x) (#s(alt #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) (patch #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) (patch #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) (patch #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) (patch #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor -inf x) (#s(alt #s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64))) (patch #s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64))) (patch #s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64))) (patch #s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64))) (patch #s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/116 binary64)) (patch (*.f64 x #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/116 binary64)) (patch (*.f64 x #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/116 binary64)) (patch (*.f64 x #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/116 binary64)) (patch (*.f64 x #s(literal 1/116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (patch (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (patch (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (patch (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (patch (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -256 binary64)) (patch (fma.f64 x x #s(literal -256 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -256 binary64)) (patch (fma.f64 x x #s(literal -256 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -256 binary64)) (patch (fma.f64 x x #s(literal -256 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -256 binary64)) (patch (fma.f64 x x #s(literal -256 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) (patch (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1856 (/ 1 x)) 116))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) (patch (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1856 (/ 1 x)) 116))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) (patch (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1856 (/ 1 x)) 116))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) (patch (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((* (- x -16) 1/116) (- x -16) (/ (+ x 16) 116) (/ (+ x 16) 116) (* x 1/116) (+ (* x 1/116) 4/29) (/ (+ (* x x) -256) (+ (* 116 x) -1856)) (+ (* x x) -256) (+ (* 116 x) -1856))
1.0ms
x
@inf
((* (- x -16) 1/116) (- x -16) (/ (+ x 16) 116) (/ (+ x 16) 116) (* x 1/116) (+ (* x 1/116) 4/29) (/ (+ (* x x) -256) (+ (* 116 x) -1856)) (+ (* x x) -256) (+ (* 116 x) -1856))
1.0ms
x
@0
((* (- x -16) 1/116) (- x -16) (/ (+ x 16) 116) (/ (+ x 16) 116) (* x 1/116) (+ (* x 1/116) 4/29) (/ (+ (* x x) -256) (+ (* 116 x) -1856)) (+ (* x x) -256) (+ (* 116 x) -1856))

simplify149.0ms (4.3%)

Memory
9.4MiB live, 84.0MiB allocated
Algorithm
egg-herbie
Rules
3 678×lower-*.f64
3 678×lower-*.f32
3 386×lower-fma.f64
3 386×lower-fma.f32
1 334×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036430
192430
2187430
3480430
4815430
51149430
62159430
73854430
85003430
96395430
107840430
08263367
Stop Event
iter limit
node limit
Counts
108 → 106
Calls
Call 1
Inputs
4/29
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
16
(+ 16 x)
(+ 16 x)
(+ 16 x)
4/29
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
4/29
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
4/29
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
4/29
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
-256
(- (pow x 2) 256)
(- (pow x 2) 256)
(- (pow x 2) 256)
-1856
(- (* 116 x) 1856)
(- (* 116 x) 1856)
(- (* 116 x) 1856)
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
x
(* x (+ 1 (* 16 (/ 1 x))))
(* x (+ 1 (* 16 (/ 1 x))))
(* x (+ 1 (* 16 (/ 1 x))))
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(pow x 2)
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(* 116 x)
(* x (- 116 (* 1856 (/ 1 x))))
(* x (- 116 (* 1856 (/ 1 x))))
(* x (- 116 (* 1856 (/ 1 x))))
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
x
(* x (+ 1 (* 16 (/ 1 x))))
(* x (+ 1 (* 16 (/ 1 x))))
(* x (+ 1 (* 16 (/ 1 x))))
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(pow x 2)
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(* 116 x)
(* -1 (* x (- (* 1856 (/ 1 x)) 116)))
(* -1 (* x (- (* 1856 (/ 1 x)) 116)))
(* -1 (* x (- (* 1856 (/ 1 x)) 116)))
Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 1/116 x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 1/116 x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 1/116 x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
16
#s(literal 16 binary64)
(+ 16 x)
(-.f64 x #s(literal -16 binary64))
(+ 16 x)
(-.f64 x #s(literal -16 binary64))
(+ 16 x)
(-.f64 x #s(literal -16 binary64))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 1/116 x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 1/116 x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 1/116 x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 1/116 x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 1/116 x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 1/116 x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 1/116 x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 1/116 x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 1/116 x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 1/116 x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 1/116 x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 1/116 x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
-256
#s(literal -256 binary64)
(- (pow x 2) 256)
(fma.f64 x x #s(literal -256 binary64))
(- (pow x 2) 256)
(fma.f64 x x #s(literal -256 binary64))
(- (pow x 2) 256)
(fma.f64 x x #s(literal -256 binary64))
-1856
#s(literal -1856 binary64)
(- (* 116 x) 1856)
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
(- (* 116 x) 1856)
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
(- (* 116 x) 1856)
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
x
(* x (+ 1 (* 16 (/ 1 x))))
(-.f64 x #s(literal -16 binary64))
(* x (+ 1 (* 16 (/ 1 x))))
(-.f64 x #s(literal -16 binary64))
(* x (+ 1 (* 16 (/ 1 x))))
(-.f64 x #s(literal -16 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -256 binary64))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -256 binary64))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -256 binary64))
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* x (- 116 (* 1856 (/ 1 x))))
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
(* x (- 116 (* 1856 (/ 1 x))))
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
(* x (- 116 (* 1856 (/ 1 x))))
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
x
(* x (+ 1 (* 16 (/ 1 x))))
(-.f64 x #s(literal -16 binary64))
(* x (+ 1 (* 16 (/ 1 x))))
(-.f64 x #s(literal -16 binary64))
(* x (+ 1 (* 16 (/ 1 x))))
(-.f64 x #s(literal -16 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -256 binary64))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -256 binary64))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -256 binary64))
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* -1 (* x (- (* 1856 (/ 1 x)) 116)))
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
(* -1 (* x (- (* 1856 (/ 1 x)) 116)))
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
(* -1 (* x (- (* 1856 (/ 1 x)) 116)))
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))

rewrite323.0ms (9.4%)

Memory
-39.7MiB live, 244.2MiB allocated
Rules
4 766×lower-fma.f32
4 760×lower-fma.f64
4 254×lower-*.f32
4 250×lower-*.f64
3 632×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01948
02845
112140
276840
3743740
0817140
Stop Event
iter limit
node limit
iter limit
Counts
9 → 1 098
Calls
Call 1
Inputs
(*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64))
(-.f64 x #s(literal -16 binary64))
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))
#s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64)))
(*.f64 x #s(literal 1/116 binary64))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)))
(fma.f64 x x #s(literal -256 binary64))
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
Outputs
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 65536 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -16777216 binary64))) (+.f64 (fma.f64 (*.f64 x x) #s(literal -256 binary64) #s(literal 65536 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 65536 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 65536 binary64))) (fma.f64 x x #s(literal -256 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 16777216 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal 256 binary64) (*.f64 x x) #s(literal 65536 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 256 binary64) (*.f64 x x) #s(literal 65536 binary64))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 16777216 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 256 binary64) (*.f64 x x) #s(literal 65536 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (fma.f64 #s(literal 256 binary64) (*.f64 x x) #s(literal 65536 binary64)) (-.f64 (fma.f64 #s(literal 256 binary64) (*.f64 x x) #s(literal 65536 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (-.f64 #s(literal 3444736 binary64) (*.f64 #s(literal 13456 binary64) (*.f64 x x)))) (-.f64 #s(literal -1856 binary64) (*.f64 #s(literal 116 binary64) x)))
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -256 binary64)) #s(literal 1/116 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64))) (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -256 binary64)) #s(literal 1/116 binary64)) (fma.f64 x x #s(literal -256 binary64))) (-.f64 x #s(literal -16 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/116 binary64) #s(literal 1024/29 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -16 binary64) x #s(literal 256 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 x x #s(literal -256 binary64)) (*.f64 #s(literal -16 binary64) x)))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/116 binary64) #s(literal 1024/29 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal -16 binary64) x #s(literal 256 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 #s(literal -16 binary64) x #s(literal 256 binary64)) (-.f64 (fma.f64 #s(literal -16 binary64) x #s(literal 256 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal -16/841 binary64)) (fma.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) (fma.f64 #s(literal 1/841 binary64) x #s(literal 16/841 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (-.f64 (*.f64 #s(literal 1/181063936 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 x #s(literal -1/841 binary64) #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal -16/841 binary64)) (*.f64 x #s(literal -1/841 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (fma.f64 #s(literal 1/2436396322816 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x #s(literal -1/841 binary64) #s(literal 16/841 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/181063936 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 x #s(literal -1/841 binary64) #s(literal 16/841 binary64)) (-.f64 (fma.f64 x #s(literal -1/841 binary64) #s(literal 16/841 binary64)) (*.f64 #s(literal 1/13456 binary64) (*.f64 x x))))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (neg.f64 (fma.f64 #s(literal 13456 binary64) (*.f64 x x) #s(literal -3444736 binary64)))) (fma.f64 #s(literal -116 binary64) x #s(literal -1856 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (neg.f64 (fma.f64 #s(literal 1560896 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -6393430016 binary64)))) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal -16/841 binary64)) (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal -16/841 binary64))) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 256 binary64) (*.f64 x x)) (fma.f64 #s(literal 13456 binary64) (*.f64 x x) #s(literal -3444736 binary64))) (fma.f64 #s(literal -116 binary64) x #s(literal -1856 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 256 binary64) (*.f64 x x)) (fma.f64 #s(literal 1560896 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -6393430016 binary64))) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 13456 binary64) (*.f64 x x) #s(literal -3444736 binary64)))) (fma.f64 #s(literal 116 binary64) x #s(literal 1856 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 1560896 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -6393430016 binary64)))) (fma.f64 x (-.f64 (*.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (*.f64 x x))) (pow.f64 (fma.f64 #s(literal -116 binary64) x #s(literal 1856 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal -16/841 binary64))) (pow.f64 (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -16 binary64) x)) #s(literal -1/116 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal -116 binary64) (-.f64 #s(literal -16 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -116 binary64) (-.f64 #s(literal -16 binary64) x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 16777216 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 256 binary64)) #s(literal 65536 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 65536 binary64)) (fma.f64 #s(literal 13456 binary64) (*.f64 x x) #s(literal -3444736 binary64))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 256 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 116 binary64) x #s(literal 1856 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 65536 binary64)) (fma.f64 #s(literal 1560896 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -6393430016 binary64))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 256 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 16777216 binary64)) (fma.f64 #s(literal 13456 binary64) (*.f64 x x) #s(literal -3444736 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 256 binary64)) #s(literal 65536 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 116 binary64) x #s(literal 1856 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 16777216 binary64)) (fma.f64 #s(literal 1560896 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -6393430016 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 256 binary64)) #s(literal 65536 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 65536 binary64)) #s(literal 116 binary64)) (/.f64 (pow.f64 (fma.f64 x x #s(literal 256 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 16 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 16777216 binary64)) #s(literal 116 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 256 binary64)) #s(literal 65536 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 16 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 65536 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal 256 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 16777216 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 256 binary64)) #s(literal 65536 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 116 binary64) (fma.f64 x x #s(literal -256 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 16 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 116 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4096 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 13456 binary64) (*.f64 x x) #s(literal -3444736 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 116 binary64) x #s(literal 1856 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 13456 binary64) (*.f64 x x) #s(literal -3444736 binary64))) (fma.f64 #s(literal 116 binary64) x #s(literal 1856 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 1560896 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -6393430016 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 1560896 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -6393430016 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 13456 binary64) (*.f64 x x) #s(literal -3444736 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal 1856 binary64))))
(*.f64 (pow.f64 (fma.f64 #s(literal 1560896 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -6393430016 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 65536 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (pow.f64 (fma.f64 x x #s(literal 256 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 x x #s(literal -256 binary64)) #s(literal 1/116 binary64)) (pow.f64 (-.f64 x #s(literal 16 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/116 binary64) #s(literal 1024/29 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 1/13456 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))))
(*.f64 (pow.f64 (fma.f64 #s(literal -116 binary64) x #s(literal 1856 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 256 binary64) (*.f64 x x)))
(*.f64 #s(literal -1/116 binary64) (-.f64 #s(literal -16 binary64) x))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal -16/841 binary64)))
(*.f64 (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -256 binary64)))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal -16/841 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/116 binary64) x #s(literal 4/29 binary64))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal -1/116 binary64)))
(*.f64 (fma.f64 x x #s(literal -256 binary64)) (/.f64 #s(literal 1/116 binary64) (-.f64 x #s(literal 16 binary64))))
(*.f64 (fma.f64 x x #s(literal -256 binary64)) (/.f64 (pow.f64 (-.f64 x #s(literal 16 binary64)) #s(literal -1 binary64)) #s(literal 116 binary64)))
(*.f64 (fma.f64 x x #s(literal -256 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal 16 binary64)) #s(literal -1 binary64)) #s(literal 1/116 binary64)))
(*.f64 (fma.f64 x x #s(literal -256 binary64)) (pow.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 116 binary64) x #s(literal 1856 binary64)) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 13456 binary64) (*.f64 x x) #s(literal -3444736 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 65536 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 256 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 65536 binary64)) (*.f64 (pow.f64 (fma.f64 x x #s(literal 256 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 65536 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 65536 binary64)) (/.f64 (pow.f64 (fma.f64 x x #s(literal 256 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))))
(*.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal -16/841 binary64)) (pow.f64 (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4096 binary64)) (/.f64 #s(literal 1/116 binary64) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))))
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(fma.f64 #s(literal 116 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 116 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal 1856 binary64))) (neg.f64 (/.f64 #s(literal -3444736 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -1856 binary64)))))
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
(fma.f64 x (/.f64 (*.f64 #s(literal 13456 binary64) x) (fma.f64 #s(literal 116 binary64) x #s(literal 1856 binary64))) (neg.f64 (/.f64 #s(literal -3444736 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -1856 binary64)))))
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))
(-.f64 (/.f64 #s(literal 3444736 binary64) (-.f64 #s(literal -1856 binary64) (*.f64 #s(literal 116 binary64) x))) (/.f64 (*.f64 #s(literal 13456 binary64) (*.f64 x x)) (-.f64 #s(literal -1856 binary64) (*.f64 #s(literal 116 binary64) x))))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 13456 binary64) x) (/.f64 x (fma.f64 #s(literal 116 binary64) x #s(literal 1856 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -3444736 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -1856 binary64))) #s(literal 1 binary64)))
(-.f64 (*.f64 (*.f64 #s(literal 13456 binary64) x) (/.f64 x (fma.f64 #s(literal 116 binary64) x #s(literal 1856 binary64)))) (/.f64 #s(literal -3444736 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -1856 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal 1856 binary64)))
(+.f64 (neg.f64 (*.f64 #s(literal -116 binary64) x)) #s(literal -1856 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 13456 binary64) x) (/.f64 x (fma.f64 #s(literal 116 binary64) x #s(literal 1856 binary64)))) (neg.f64 (/.f64 #s(literal -3444736 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -1856 binary64)))))
(+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -1856 binary64))
(+.f64 #s(literal -1856 binary64) (neg.f64 (*.f64 #s(literal -116 binary64) x)))
(+.f64 #s(literal -1856 binary64) (*.f64 #s(literal 116 binary64) x))

eval162.0ms (4.7%)

Memory
44.7MiB live, 192.0MiB allocated
Compiler

Compiled 21 440 to 1 527 computations (92.9% saved)

prune300.0ms (8.7%)

Memory
-152.7MiB live, 140.5MiB allocated
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New1 20221 204
Fresh000
Picked145
Done011
Total1 20371 210
Accuracy
100.0%
Counts
1 210 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
100.0%
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
27.4%
(/.f64 #s(approx (+ (* x x) -256) (*.f64 x x)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)))
99.9%
(*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64))
56.7%
#s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64)))
56.7%
#s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64)))
45.0%
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))
Compiler

Compiled 33 to 32 computations (3% saved)

simplify5.0ms (0.1%)

Memory
4.1MiB live, 4.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (+ (* x x) -256) (*.f64 x x))
cost-diff0
(/.f64 #s(approx (+ (* x x) -256) (*.f64 x x)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)))
cost-diff0
(/.f64 x #s(literal 116 binary64))
cost-diff0
#s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64)))
Rules
12×lower-+.f64
12×lower-+.f32
lower-/.f32
lower-fma.f32
lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01547
02047
12447
02445
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64)))
(/.f64 x #s(literal 116 binary64))
x
#s(literal 116 binary64)
(/.f64 #s(approx (+ (* x x) -256) (*.f64 x x)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)))
#s(approx (+ (* x x) -256) (*.f64 x x))
(*.f64 x x)
x
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
#s(literal 116 binary64)
#s(literal -1856 binary64)
Outputs
#s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64)))
(/.f64 x #s(literal 116 binary64))
x
#s(literal 116 binary64)
(/.f64 #s(approx (+ (* x x) -256) (*.f64 x x)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)))
#s(approx (+ (* x x) -256) (*.f64 x x))
(*.f64 x x)
x
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
#s(literal 116 binary64)
#s(literal -1856 binary64)

localize36.0ms (1%)

Memory
-5.5MiB live, 32.6MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
accuracy0
(*.f64 x x)
accuracy18.716512585722178
(/.f64 #s(approx (+ (* x x) -256) (*.f64 x x)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)))
accuracy27.75694152241798
#s(approx (+ (* x x) -256) (*.f64 x x))
accuracy0
(/.f64 x #s(literal 116 binary64))
accuracy27.71119776529208
#s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64)))
Samples
28.0ms254×0valid
0.0ms2valid
Compiler

Compiled 39 to 15 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-add: 12.0ms (55.9% of total)
ival-div: 5.0ms (23.3% of total)
ival-mult: 3.0ms (14% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
5.5MiB live, 5.5MiB allocated
Counts
6 → 72
Calls
Call 1
Inputs
#s(alt #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) (patch #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 x #s(literal 116 binary64)) (patch (/.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* x x) -256) (*.f64 x x)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (patch (/.f64 #s(approx (+ (* x x) -256) (*.f64 x x)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x x) -256) (*.f64 x x)) (patch #s(approx (+ (* x x) -256) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) (patch (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #<representation binary64>) () ())
Outputs
#s(alt 4/29 (taylor 0 x) (#s(alt #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) (patch #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) (patch #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) (patch #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) (patch #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 116 binary64)) (patch (/.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 116 binary64)) (patch (/.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 116 binary64)) (patch (/.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 116 binary64)) (patch (/.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt 4/29 (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* x x) -256) (*.f64 x x)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (patch (/.f64 #s(approx (+ (* x x) -256) (*.f64 x x)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* x x) -256) (*.f64 x x)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (patch (/.f64 #s(approx (+ (* x x) -256) (*.f64 x x)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* x x) -256) (*.f64 x x)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (patch (/.f64 #s(approx (+ (* x x) -256) (*.f64 x x)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 1/116 x)) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* x x) -256) (*.f64 x x)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (patch (/.f64 #s(approx (+ (* x x) -256) (*.f64 x x)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) #<representation binary64>) () ())) ())
#s(alt -256 (taylor 0 x) (#s(alt #s(approx (+ (* x x) -256) (*.f64 x x)) (patch #s(approx (+ (* x x) -256) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 256) (taylor 0 x) (#s(alt #s(approx (+ (* x x) -256) (*.f64 x x)) (patch #s(approx (+ (* x x) -256) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 256) (taylor 0 x) (#s(alt #s(approx (+ (* x x) -256) (*.f64 x x)) (patch #s(approx (+ (* x x) -256) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 256) (taylor 0 x) (#s(alt #s(approx (+ (* x x) -256) (*.f64 x x)) (patch #s(approx (+ (* x x) -256) (*.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 -1856 (taylor 0 x) (#s(alt (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) (patch (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 1856) (taylor 0 x) (#s(alt (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) (patch (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 1856) (taylor 0 x) (#s(alt (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) (patch (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 1856) (taylor 0 x) (#s(alt (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) (patch (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor inf x) (#s(alt #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) (patch #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) (patch #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) (patch #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) (patch #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor inf x) (#s(alt (/.f64 x #s(literal 116 binary64)) (patch (/.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor inf x) (#s(alt (/.f64 x #s(literal 116 binary64)) (patch (/.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor inf x) (#s(alt (/.f64 x #s(literal 116 binary64)) (patch (/.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor inf x) (#s(alt (/.f64 x #s(literal 116 binary64)) (patch (/.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor inf x) (#s(alt (/.f64 #s(approx (+ (* x x) -256) (*.f64 x x)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (patch (/.f64 #s(approx (+ (* x x) -256) (*.f64 x x)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 #s(approx (+ (* x x) -256) (*.f64 x x)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (patch (/.f64 #s(approx (+ (* x x) -256) (*.f64 x x)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 #s(approx (+ (* x x) -256) (*.f64 x x)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (patch (/.f64 #s(approx (+ (* x x) -256) (*.f64 x x)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 #s(approx (+ (* x x) -256) (*.f64 x x)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (patch (/.f64 #s(approx (+ (* x x) -256) (*.f64 x x)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt #s(approx (+ (* x x) -256) (*.f64 x x)) (patch #s(approx (+ (* x x) -256) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* x x) -256) (*.f64 x x)) (patch #s(approx (+ (* x x) -256) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* x x) -256) (*.f64 x x)) (patch #s(approx (+ (* x x) -256) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* x x) -256) (*.f64 x x)) (patch #s(approx (+ (* x x) -256) (*.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 (* 116 x) (taylor inf x) (#s(alt (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) (patch (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 1856 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) (patch (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 1856 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) (patch (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 1856 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) (patch (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor -inf x) (#s(alt #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) (patch #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) (patch #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) (patch #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) (patch #s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 116 binary64)) (patch (/.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 116 binary64)) (patch (/.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 116 binary64)) (patch (/.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 116 binary64)) (patch (/.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/116 x) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* x x) -256) (*.f64 x x)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (patch (/.f64 #s(approx (+ (* x x) -256) (*.f64 x x)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* x x) -256) (*.f64 x x)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (patch (/.f64 #s(approx (+ (* x x) -256) (*.f64 x x)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* x x) -256) (*.f64 x x)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (patch (/.f64 #s(approx (+ (* x x) -256) (*.f64 x x)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/116 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* x x) -256) (*.f64 x x)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) (patch (/.f64 #s(approx (+ (* x x) -256) (*.f64 x x)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (* x x) -256) (*.f64 x x)) (patch #s(approx (+ (* x x) -256) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) -256) (*.f64 x x)) (patch #s(approx (+ (* x x) -256) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) -256) (*.f64 x x)) (patch #s(approx (+ (* x x) -256) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) -256) (*.f64 x x)) (patch #s(approx (+ (* x x) -256) (*.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 (* 116 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) (patch (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1856 (/ 1 x)) 116))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) (patch (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1856 (/ 1 x)) 116))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) (patch (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1856 (/ 1 x)) 116))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) (patch (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((/ (+ x 16) 116) (/ x 116) (/ (+ (* x x) -256) (+ (* 116 x) -1856)) (+ (* x x) -256) (* x x) (+ (* 116 x) -1856))
1.0ms
x
@inf
((/ (+ x 16) 116) (/ x 116) (/ (+ (* x x) -256) (+ (* 116 x) -1856)) (+ (* x x) -256) (* x x) (+ (* 116 x) -1856))
1.0ms
x
@0
((/ (+ x 16) 116) (/ x 116) (/ (+ (* x x) -256) (+ (* 116 x) -1856)) (+ (* x x) -256) (* x x) (+ (* 116 x) -1856))

simplify147.0ms (4.3%)

Memory
-9.4MiB live, 75.7MiB allocated
Algorithm
egg-herbie
Rules
4 060×lower-*.f64
4 060×lower-*.f32
3 214×lower-fma.f64
3 214×lower-fma.f32
1 438×cube-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031280
175280
2157280
3332280
4650280
51085280
62113280
73763280
84891280
96141280
107644280
08160244
Stop Event
iter limit
node limit
Counts
72 → 72
Calls
Call 1
Inputs
4/29
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
4/29
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
-256
(- (pow x 2) 256)
(- (pow x 2) 256)
(- (pow x 2) 256)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
-1856
(- (* 116 x) 1856)
(- (* 116 x) 1856)
(- (* 116 x) 1856)
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(pow x 2)
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 116 x)
(* x (- 116 (* 1856 (/ 1 x))))
(* x (- 116 (* 1856 (/ 1 x))))
(* x (- 116 (* 1856 (/ 1 x))))
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(pow x 2)
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 116 x)
(* -1 (* x (- (* 1856 (/ 1 x)) 116)))
(* -1 (* x (- (* 1856 (/ 1 x)) 116)))
(* -1 (* x (- (* 1856 (/ 1 x)) 116)))
Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 1/116 x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 1/116 x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 1/116 x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 1/116 x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 1/116 x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 1/116 x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
-256
#s(literal -256 binary64)
(- (pow x 2) 256)
(fma.f64 x x #s(literal -256 binary64))
(- (pow x 2) 256)
(fma.f64 x x #s(literal -256 binary64))
(- (pow x 2) 256)
(fma.f64 x x #s(literal -256 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)
-1856
#s(literal -1856 binary64)
(- (* 116 x) 1856)
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
(- (* 116 x) 1856)
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
(- (* 116 x) 1856)
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -256 binary64))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -256 binary64))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -256 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)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* x (- 116 (* 1856 (/ 1 x))))
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
(* x (- 116 (* 1856 (/ 1 x))))
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
(* x (- 116 (* 1856 (/ 1 x))))
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -256 binary64))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -256 binary64))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -256 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)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* -1 (* x (- (* 1856 (/ 1 x)) 116)))
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
(* -1 (* x (- (* 1856 (/ 1 x)) 116)))
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
(* -1 (* x (- (* 1856 (/ 1 x)) 116)))
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))

rewrite180.0ms (5.3%)

Memory
12.4MiB live, 165.9MiB allocated
Rules
4 566×lower-fma.f32
4 564×lower-fma.f64
4 452×lower-*.f32
4 450×lower-*.f64
2 788×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01542
02042
19042
252242
3444942
0839239
Stop Event
iter limit
node limit
iter limit
Counts
6 → 227
Calls
Call 1
Inputs
#s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64)))
(/.f64 x #s(literal 116 binary64))
(/.f64 #s(approx (+ (* x x) -256) (*.f64 x x)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)))
#s(approx (+ (* x x) -256) (*.f64 x x))
(*.f64 x x)
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
Outputs
#s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x))
(*.f64 (pow.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/116 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1/116 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 116 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 116 binary64) x) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/116 binary64) (pow.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/116 binary64) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/116 binary64)))
(*.f64 #s(literal 1/116 binary64) (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/116 binary64) x)
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/116 binary64) x))
(*.f64 (neg.f64 x) #s(literal -1/116 binary64))
(*.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 1 binary64))
(*.f64 x #s(literal 1/116 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal 116 binary64) x))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 116 binary64) x) (/.f64 #s(literal 116 binary64) x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 116 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 116 binary64) x) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -116 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -116 binary64) x))
(/.f64 #s(literal 1/116 binary64) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 116 binary64) x))
(/.f64 (neg.f64 x) #s(literal -116 binary64))
(/.f64 x #s(literal 116 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 116 binary64) x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/116 binary64))))
(neg.f64 (*.f64 x #s(literal -1/116 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/116 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 116 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 #s(approx (+ (* x x) -256) (*.f64 x x))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -116 binary64) x #s(literal 1856 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(approx (+ (* x x) -256) (*.f64 x x)) (-.f64 #s(literal 3444736 binary64) (*.f64 #s(literal 13456 binary64) (*.f64 x x)))) (-.f64 #s(literal -1856 binary64) (*.f64 #s(literal 116 binary64) x)))
(*.f64 (/.f64 #s(approx (+ (* x x) -256) (*.f64 x x)) (neg.f64 (fma.f64 #s(literal 13456 binary64) (*.f64 x x) #s(literal -3444736 binary64)))) (fma.f64 #s(literal -116 binary64) x #s(literal -1856 binary64)))
(*.f64 (/.f64 #s(approx (+ (* x x) -256) (*.f64 x x)) (neg.f64 (fma.f64 #s(literal 1560896 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -6393430016 binary64)))) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64))))
(*.f64 (/.f64 (neg.f64 #s(approx (+ (* x x) -256) (*.f64 x x))) (fma.f64 #s(literal 13456 binary64) (*.f64 x x) #s(literal -3444736 binary64))) (fma.f64 #s(literal -116 binary64) x #s(literal -1856 binary64)))
(*.f64 (/.f64 (neg.f64 #s(approx (+ (* x x) -256) (*.f64 x x))) (fma.f64 #s(literal 1560896 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -6393430016 binary64))) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* x x) -256) (*.f64 x x)) (fma.f64 #s(literal 13456 binary64) (*.f64 x x) #s(literal -3444736 binary64)))) (fma.f64 #s(literal 116 binary64) x #s(literal 1856 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* x x) -256) (*.f64 x x)) (fma.f64 #s(literal 1560896 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -6393430016 binary64)))) (fma.f64 x (-.f64 (*.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (+ (* x x) -256) (*.f64 x x)))) (pow.f64 (fma.f64 #s(literal -116 binary64) x #s(literal 1856 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #s(approx (+ (* x x) -256) (*.f64 x x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #s(approx (+ (* x x) -256) (*.f64 x x))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(approx (+ (* x x) -256) (*.f64 x x)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(approx (+ (* x x) -256) (*.f64 x x)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 13456 binary64) (*.f64 x x) #s(literal -3444736 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 116 binary64) x #s(literal 1856 binary64)) #s(literal -1 binary64)) #s(approx (+ (* x x) -256) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 13456 binary64) (*.f64 x x) #s(literal -3444736 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 116 binary64) x #s(literal 1856 binary64)) #s(approx (+ (* x x) -256) (*.f64 x x))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 13456 binary64) (*.f64 x x) #s(literal -3444736 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 116 binary64) x #s(literal 1856 binary64)) #s(approx (+ (* x x) -256) (*.f64 x x))))
(*.f64 (pow.f64 (fma.f64 #s(literal 1560896 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -6393430016 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64)) #s(literal -1 binary64)) #s(approx (+ (* x x) -256) (*.f64 x x))) #s(literal -1 binary64)))
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(/.f64 (fma.f64 #s(literal 1560896 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -6393430016 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64)))
(/.f64 (fma.f64 #s(literal -116 binary64) x #s(literal 1856 binary64)) #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #s(literal 1 binary64))
(neg.f64 (fma.f64 #s(literal -116 binary64) x #s(literal 1856 binary64)))
(fma.f64 (exp.f64 (log.f64 #s(literal 116 binary64))) x #s(literal -1856 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 13456 binary64) (*.f64 x x)) (fma.f64 #s(literal 1560896 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 6393430016 binary64))) (fma.f64 #s(literal 13456 binary64) (*.f64 x x) (fma.f64 #s(literal -215296 binary64) x #s(literal 3444736 binary64))) (neg.f64 (/.f64 #s(literal -3444736 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -1856 binary64)))))
(fma.f64 (/.f64 (*.f64 #s(literal 13456 binary64) (*.f64 x x)) (fma.f64 #s(literal 13456 binary64) (*.f64 x x) #s(literal -3444736 binary64))) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) (neg.f64 (/.f64 #s(literal -3444736 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -1856 binary64)))))
(fma.f64 (*.f64 (*.f64 #s(literal 116 binary64) x) x) (/.f64 #s(literal 116 binary64) (fma.f64 #s(literal 116 binary64) x #s(literal 1856 binary64))) (neg.f64 (/.f64 #s(literal -3444736 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -1856 binary64)))))
(fma.f64 (*.f64 #s(literal 13456 binary64) x) (/.f64 x (fma.f64 #s(literal 116 binary64) x #s(literal 1856 binary64))) (neg.f64 (/.f64 #s(literal -3444736 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -1856 binary64)))))
(fma.f64 #s(literal 13456 binary64) (/.f64 (*.f64 x x) (fma.f64 #s(literal 116 binary64) x #s(literal 1856 binary64))) (neg.f64 (/.f64 #s(literal -3444736 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -1856 binary64)))))
(fma.f64 (*.f64 #s(literal 13456 binary64) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal 116 binary64) x #s(literal 1856 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -3444736 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -1856 binary64)))))
(fma.f64 (*.f64 #s(literal 116 binary64) x) (/.f64 (*.f64 #s(literal 116 binary64) x) (fma.f64 #s(literal 116 binary64) x #s(literal 1856 binary64))) (neg.f64 (/.f64 #s(literal -3444736 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -1856 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 13456 binary64) (fma.f64 #s(literal 116 binary64) x #s(literal 1856 binary64))) (neg.f64 (/.f64 #s(literal -3444736 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -1856 binary64)))))
(fma.f64 #s(literal 116 binary64) (/.f64 (*.f64 (*.f64 #s(literal 116 binary64) x) x) (fma.f64 #s(literal 116 binary64) x #s(literal 1856 binary64))) (neg.f64 (/.f64 #s(literal -3444736 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -1856 binary64)))))
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
(fma.f64 x (exp.f64 (log.f64 #s(literal 116 binary64))) #s(literal -1856 binary64))
(fma.f64 x (/.f64 (*.f64 #s(literal 13456 binary64) x) (fma.f64 #s(literal 116 binary64) x #s(literal 1856 binary64))) (neg.f64 (/.f64 #s(literal -3444736 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -1856 binary64)))))
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 13456 binary64) x) (/.f64 x (fma.f64 #s(literal 116 binary64) x #s(literal 1856 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -3444736 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -1856 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 3444736 binary64) (-.f64 #s(literal -1856 binary64) (*.f64 #s(literal 116 binary64) x))) (/.f64 (*.f64 #s(literal 13456 binary64) (*.f64 x x)) (-.f64 #s(literal -1856 binary64) (*.f64 #s(literal 116 binary64) x))))
(-.f64 (*.f64 (*.f64 #s(literal 13456 binary64) x) (/.f64 x (fma.f64 #s(literal 116 binary64) x #s(literal 1856 binary64)))) (/.f64 #s(literal -3444736 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -1856 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal 1856 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (*.f64 #s(literal -116 binary64) x)) #s(literal -1856 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 13456 binary64) x) (/.f64 x (fma.f64 #s(literal 116 binary64) x #s(literal 1856 binary64)))) (neg.f64 (/.f64 #s(literal -3444736 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -1856 binary64)))))
(+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -1856 binary64))
(+.f64 #s(literal -1856 binary64) (neg.f64 (*.f64 #s(literal -116 binary64) x)))
(+.f64 #s(literal -1856 binary64) (*.f64 #s(literal 116 binary64) x))

eval35.0ms (1%)

Memory
3.6MiB live, 79.2MiB allocated
Compiler

Compiled 4 726 to 689 computations (85.4% saved)

prune32.0ms (0.9%)

Memory
-8.2MiB live, 72.7MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New2990299
Fresh000
Picked022
Done055
Total2997306
Accuracy
100.0%
Counts
306 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
100.0%
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
27.4%
(/.f64 #s(approx (+ (* x x) -256) (*.f64 x x)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)))
99.9%
(*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64))
56.7%
#s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64)))
56.7%
#s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64)))
45.0%
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))
Compiler

Compiled 75 to 56 computations (25.3% saved)

regimes9.0ms (0.3%)

Memory
18.6MiB live, 18.6MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))
#s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64)))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64))
#s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64)))
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
(/.f64 #s(approx (+ (* x x) -256) (*.f64 x x)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)))
(/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)))
Outputs
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
Calls

3 calls:

3.0ms
x
3.0ms
(+.f64 x #s(literal 16 binary64))
3.0ms
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
100.0%1(+.f64 x #s(literal 16 binary64))
Compiler

Compiled 9 to 9 computations (0% saved)

regimes9.0ms (0.3%)

Memory
-23.4MiB live, 14.9MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))
#s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64)))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64))
#s(approx (/ (+ x 16) 116) (/.f64 x #s(literal 116 binary64)))
Outputs
(*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64))
Calls

3 calls:

4.0ms
x
2.0ms
(+.f64 x #s(literal 16 binary64))
2.0ms
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
99.9%1(+.f64 x #s(literal 16 binary64))
Compiler

Compiled 9 to 9 computations (0% saved)

regimes6.0ms (0.2%)

Memory
12.4MiB live, 12.4MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))
#s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64)))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
Outputs
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
Calls

3 calls:

2.0ms
x
2.0ms
(+.f64 x #s(literal 16 binary64))
2.0ms
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
99.9%1(+.f64 x #s(literal 16 binary64))
Compiler

Compiled 9 to 9 computations (0% saved)

regimes5.0ms (0.1%)

Memory
10.7MiB live, 10.7MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))
#s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64)))
Outputs
#s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64)))
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))
#s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64)))
Calls

3 calls:

2.0ms
x
1.0ms
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
1.0ms
(+.f64 x #s(literal 16 binary64))
Results
AccuracySegmentsBranch
98.1%3x
98.1%3(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
98.1%3(+.f64 x #s(literal 16 binary64))
Compiler

Compiled 9 to 9 computations (0% saved)

regimes4.0ms (0.1%)

Memory
9.5MiB live, 9.5MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))
Outputs
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))
Calls

3 calls:

1.0ms
x
1.0ms
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
1.0ms
(+.f64 x #s(literal 16 binary64))
Results
AccuracySegmentsBranch
45.0%1x
45.0%1(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
45.0%1(+.f64 x #s(literal 16 binary64))
Compiler

Compiled 9 to 9 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
26.004240649443304
7888882283.856625
0.0ms
-25526.98289886262
12.266079037869812
Compiler

Compiled 8 to 9 computations (-12.5% saved)

simplify29.0ms (0.8%)

Memory
-24.8MiB live, 53.5MiB allocated
Algorithm
egg-herbie
Rules
*-commutative-binary64-*.f64
+-commutative-binary64-+.f64
sub-neg-binary64-neg.f64-+.f64--.f64
neg-sub0-binary64--.f64-neg.f64
neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02258
12758
23258
33458
43558
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
(*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(if (<=.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -20000 binary64)) #s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64))) (if (<=.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 50 binary64)) #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) #s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64)))))
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))
Outputs
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
(/.f64 (+.f64 #s(literal 16 binary64) x) #s(literal 116 binary64))
(*.f64 (-.f64 x #s(literal -16 binary64)) #s(literal 1/116 binary64))
(*.f64 #s(literal 1/116 binary64) (-.f64 x #s(literal -16 binary64)))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(if (<=.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -20000 binary64)) #s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64))) (if (<=.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 50 binary64)) #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) #s(approx (/ (+ x 16) 116) (*.f64 x #s(literal 1/116 binary64)))))
(if (<=.f64 (+.f64 #s(literal 16 binary64) x) #s(literal -20000 binary64)) #s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x)) (if (<=.f64 (+.f64 #s(literal 16 binary64) x) #s(literal 50 binary64)) #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) #s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x))))
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))

soundness155.0ms (4.5%)

Memory
-10.0MiB live, 162.0MiB allocated
Rules
5 334×lower-/.f32
5 332×lower-/.f64
3 418×lower-*.f64
3 418×lower-*.f32
2 760×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01582
14182
26782
314082
414082
514382
614882
714882
014873
058
078
1338
21778
314408
084047
Stop Event
done
iter limit
node limit
iter limit
iter limit
saturated
Compiler

Compiled 62 to 44 computations (29% saved)

preprocess41.0ms (1.2%)

Memory
-0.0MiB live, 78.4MiB allocated
Compiler

Compiled 86 to 50 computations (41.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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