Prelude:atanh from fay-base-0.20.0.1

Time bar (total: 6.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
75%75%25%0%0%0%0%3
87.5%87.5%12.5%0%0%0%0%4
93.8%93.7%6.2%0%0%0%0%5
96.9%96.8%3.1%0%0%0%0%6
98.4%98.4%1.6%0%0%0%0%7
99.2%99.2%0.8%0%0%0%0%8
99.6%99.6%0.4%0%0%0%0%9
99.8%99.8%0.2%0%0%0%0%10
99.9%99.9%0.1%0%0%0%0%11
100%99.9%0%0%0%0%0%12
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample657.0ms (9.9%)

Memory
27.5MiB live, 962.0MiB allocated
Samples
364.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 216.0ms
ival-div: 84.0ms (38.9% of total)
ival-sub: 64.0ms (29.7% of total)
ival-add: 54.0ms (25% of total)
ival-true: 6.0ms (2.8% of total)
exact: 4.0ms (1.9% of total)
ival-assert: 3.0ms (1.4% of total)
Bogosity

explain59.0ms (0.9%)

Memory
-25.1MiB live, 138.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 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
29.0ms512×0valid
Compiler

Compiled 42 to 19 computations (54.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 8.0ms (56.4% of total)
ival-sub: 3.0ms (21.2% of total)
ival-add: 3.0ms (21.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess40.0ms (0.6%)

Memory
-8.6MiB live, 70.7MiB allocated
Algorithm
egg-herbie
Rules
208×lower-fma.f64
208×lower-fma.f32
128×lower-*.f64
128×lower-*.f32
110×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
12114
24614
310014
422814
547714
665614
768914
057
087
1137
2177
3227
4297
5397
6557
7767
81067
91567
101967
112927
124697
136477
06477
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Outputs
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 5 computations (37.5% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% 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 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify17.0ms (0.3%)

Memory
-5.8MiB live, 32.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Rules
208×lower-fma.f64
208×lower-fma.f32
128×lower-*.f64
128×lower-*.f32
106×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
0815
11315
21715
32215
42915
53915
65515
77615
810615
915615
1019615
1129215
1246915
1364715
064715
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
Outputs
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)

localize17.0ms (0.2%)

Memory
27.6MiB live, 27.6MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal 1 binary64) x)
accuracy0
(+.f64 x #s(literal 1 binary64))
accuracy0.01171875
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Samples
10.0ms256×0valid
Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (43.6% of total)
ival-sub: 1.0ms (21.8% of total)
ival-add: 1.0ms (21.8% 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
3.1MiB live, 3.1MiB allocated
Counts
3 → 36
Calls
Call 1
Inputs
#s(alt (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 x)) (taylor 0 x) (#s(alt (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 2 (* 2 x)))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x)))))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf x) (#s(alt (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) (taylor inf x) (#s(alt (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf x) (#s(alt (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) (taylor -inf x) (#s(alt (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1) (taylor -inf x) (#s(alt (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(+ x 1)
0.0ms
x
@inf
(/ (+ x 1) (- 1 x))
0.0ms
x
@0
(/ (+ x 1) (- 1 x))
0.0ms
x
@-inf
(/ (+ x 1) (- 1 x))
0.0ms
x
@-inf
(+ x 1)

simplify239.0ms (3.6%)

Memory
16.2MiB live, 241.9MiB allocated
Algorithm
egg-herbie
Rules
10 702×lower-fma.f64
10 702×lower-fma.f32
2 414×lower-*.f64
2 414×lower-*.f32
1 974×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040165
1114150
2255150
3590146
41225146
52794146
64949146
76697146
87350146
97545146
107569146
117580146
127964146
08165140
Stop Event
iter limit
node limit
Counts
36 → 34
Calls
Call 1
Inputs
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* 2 x))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x) #s(literal -2 binary64)) x))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x) #s(literal -2 binary64)) x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)

rewrite187.0ms (2.8%)

Memory
-36.6MiB live, 297.0MiB allocated
Rules
2 974×lower-/.f64
2 974×lower-/.f32
2 752×lower-fma.f64
2 752×lower-fma.f32
2 188×lower-*.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0513
0813
14113
229413
341017
0100147
Stop Event
iter limit
node limit
iter limit
Counts
3 → 489
Calls
Call 1
Inputs
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+.f64 x #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
Outputs
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 x x)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))))
(+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)))
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(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x (neg.f64 x) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))

eval56.0ms (0.8%)

Memory
7.9MiB live, 90.2MiB allocated
Compiler

Compiled 14 518 to 1 047 computations (92.8% saved)

prune76.0ms (1.1%)

Memory
-9.8MiB live, 189.1MiB allocated
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New5176523
Fresh000
Picked011
Done000
Total5177524
Accuracy
100.0%
Counts
524 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.9%
(/.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
100.0%
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
50.7%
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)))
51.6%
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
51.0%
#s(approx (/ (+ x 1) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)))
50.3%
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
49.6%
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
Compiler

Compiled 100 to 61 computations (39% saved)

simplify469.0ms (7%)

Memory
19.4MiB live, 391.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x x x)
cost-diff0
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)))
cost-diff0
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
cost-diff0
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
cost-diff0
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 x (*.f64 x x) #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
cost-diff512
(/.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
Rules
24 080×lower-fma.f32
24 070×lower-fma.f64
3 112×lower-+.f32
3 110×lower-+.f64
2 688×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021122
035119
164119
2101119
3189119
4466119
51303119
63330119
74536119
85709119
96794119
107144119
117272119
127295119
137364119
147542119
157708119
167754119
177772119
187776119
197776119
08445118
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x x) #s(literal 1 binary64))
x
(*.f64 x x)
#s(literal 1 binary64)
(fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 #s(literal 1 binary64) x)
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
#s(literal 2 binary64)
x
#s(literal 1 binary64)
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
#s(literal 2 binary64)
(fma.f64 x x x)
x
#s(literal 1 binary64)
Outputs
(/.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(fma.f64 x (*.f64 x x) #s(literal 1 binary64))
x
(*.f64 x x)
#s(literal 1 binary64)
(fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 #s(literal 1 binary64) x)
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (+ x 1) (- 1 x)) (+.f64 #s(literal 1 binary64) (+.f64 x x)))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 x x))
#s(literal 2 binary64)
x
#s(literal 1 binary64)
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 x (+.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(fma.f64 x (+.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 1 binary64))
#s(literal 2 binary64)
(fma.f64 x x x)
x
#s(literal 1 binary64)

localize64.0ms (1%)

Memory
-24.9MiB live, 102.6MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 x x x)
accuracy0
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
accuracy31.559882872379717
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)))
accuracy0
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
accuracy30.988272675202314
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
accuracy31.838624772546567
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
accuracy32.26509287041847
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
accuracy0
(*.f64 x x)
accuracy0.01171875
(/.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
accuracy0.0234375
(fma.f64 x (*.f64 x x) #s(literal 1 binary64))
accuracy22.407061327191595
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
Samples
34.0ms256×0valid
Compiler

Compiled 117 to 22 computations (81.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-add: 8.0ms (37.3% of total)
ival-mult: 8.0ms (37.3% of total)
ival-div: 4.0ms (18.7% of total)
ival-sub: 1.0ms (4.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
12.2MiB live, 12.2MiB allocated
Counts
11 → 132
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64)) (patch #s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64)) (patch #s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) (patch #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))) (patch #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 x)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
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#s(alt -1 (taylor -inf x) (#s(alt #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) (patch #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) (patch #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) (taylor -inf x) (#s(alt #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) (patch #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1) (taylor -inf x) (#s(alt #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) (patch #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))) (patch #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 x)) (taylor 0 x) (#s(alt #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))) (patch #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 2 (* 2 x)))) (taylor 0 x) (#s(alt #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))) (patch #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x)))))) (taylor 0 x) (#s(alt #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))) (patch #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf x) (#s(alt #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))) (patch #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))) (patch #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) (taylor inf x) (#s(alt #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))) (patch #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))) (patch #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf x) (#s(alt #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))) (patch #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))) (patch #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) (taylor -inf x) (#s(alt #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))) (patch #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1) (taylor -inf x) (#s(alt #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))) (patch #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 2 (* 2 x)))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 2 (* 2 x)))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
Calls

33 calls:

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

simplify438.0ms (6.6%)

Memory
0.7MiB live, 397.1MiB allocated
Algorithm
egg-herbie
Rules
22 460×lower-fma.f64
22 460×lower-fma.f32
4 510×lower-*.f64
4 510×lower-*.f32
2 314×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049780
1154746
2345746
31106726
43451726
57297726
08251663
Stop Event
iter limit
node limit
Counts
132 → 129
Calls
Call 1
Inputs
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
1
(+ 1 (pow x 3))
(+ 1 (pow x 3))
(+ 1 (pow x 3))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
1
(+ 1 (* 2 x))
(+ 1 (* 2 x))
(+ 1 (* 2 x))
(* 2 x)
(* x (+ 2 (/ 1 x)))
(* x (+ 2 (/ 1 x)))
(* x (+ 2 (/ 1 x)))
(* 2 x)
(* x (+ 2 (/ 1 x)))
(* x (+ 2 (/ 1 x)))
(* x (+ 2 (/ 1 x)))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* 2 x))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* 2 x))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x x x) x) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (pow x 3))
(fma.f64 x (*.f64 x x) #s(literal 1 binary64))
(+ 1 (pow x 3))
(fma.f64 x (*.f64 x x) #s(literal 1 binary64))
(+ 1 (pow x 3))
(fma.f64 x (*.f64 x x) #s(literal 1 binary64))
(pow x 3)
(*.f64 x (*.f64 x x))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(fma.f64 x (*.f64 x x) #s(literal 1 binary64))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(fma.f64 x (*.f64 x x) #s(literal 1 binary64))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(fma.f64 x (*.f64 x x) #s(literal 1 binary64))
(pow x 3)
(*.f64 x (*.f64 x x))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(fma.f64 x (*.f64 x x) #s(literal 1 binary64))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(fma.f64 x (*.f64 x x) #s(literal 1 binary64))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(fma.f64 x (*.f64 x x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* 2 x))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x x x) x) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* 2 x))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x x x) x) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* 2 x))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x x x) x) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (/ 1 x)))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(* x (+ 2 (/ 1 x)))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(* x (+ 2 (/ 1 x)))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (/ 1 x)))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(* x (+ 2 (/ 1 x)))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(* x (+ 2 (/ 1 x)))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* 2 x))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x x x) x) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* 2 x))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* 2 x))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(* 2 (pow x 2))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(* 2 (pow x 2))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
x
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 x))
(fma.f64 x x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)

rewrite287.0ms (4.3%)

Memory
-3.0MiB live, 414.1MiB allocated
Rules
7 890×lower-fma.f32
7 880×lower-fma.f64
4 138×lower-/.f32
4 134×lower-/.f64
3 804×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02199
03596
115978
2131678
0857078
Stop Event
iter limit
node limit
iter limit
Counts
11 → 504
Calls
Call 1
Inputs
(/.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(fma.f64 x x x)
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) x) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) x))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x x)))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x x)) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) x))
(+.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (*.f64 (fma.f64 x x x) (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(+.f64 (*.f64 (fma.f64 x x x) (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 (fma.f64 x x x) (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (fma.f64 x x x) (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(fma.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) x))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x x)))
(fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x x) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal 1 binary64)))
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(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal -1 binary64))))
(*.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (*.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 x x x)))))))
(*.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x x) #s(literal -2 binary64) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 x x x)))))
(+.f64 x (*.f64 x x))
(+.f64 (*.f64 x x) x)
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))
(-.f64 (*.f64 x x) (neg.f64 x))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) x)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (neg.f64 x) x)))
(fma.f64 x x x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 x x))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) x)
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) x) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x x) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) x)
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x x) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))
(fma.f64 (/.f64 x x) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))
(fma.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x (*.f64 x x)) x) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))
(fma.f64 (/.f64 x (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 x #s(literal -1 binary64))) (/.f64 x x) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x x) x)) (/.f64 x #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (/.f64 x (-.f64 (*.f64 x x) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) x) (/.f64 x (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))
(fma.f64 (/.f64 (*.f64 x x) x) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))
(fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 x x))
(neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x))
(neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)))
(neg.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))) (fma.f64 x x x)) (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (neg.f64 x) x))))))
(neg.f64 (/.f64 (*.f64 (fma.f64 x x x) (-.f64 (*.f64 x x) x)) (fma.f64 x (neg.f64 x) x)))
(neg.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))) (fma.f64 x x x))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (neg.f64 x) x)))))
(neg.f64 (/.f64 (*.f64 (fma.f64 x x x) (fma.f64 x (neg.f64 x) x)) (-.f64 (*.f64 x x) x)))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))) (*.f64 (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))) (fma.f64 x x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))) (fma.f64 x x x)) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (neg.f64 x) x))))
(/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))) (fma.f64 x x x)) (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))
(/.f64 (*.f64 (fma.f64 x x x) (-.f64 (*.f64 x x) x)) (-.f64 (*.f64 x x) x))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))) (fma.f64 x x x))) (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (neg.f64 x) x)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))) (fma.f64 x x x))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)))))
(/.f64 (*.f64 (fma.f64 x x x) (fma.f64 x (neg.f64 x) x)) (fma.f64 x (neg.f64 x) x))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) (*.f64 (-.f64 (*.f64 x x) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))) (fma.f64 x x x)))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (neg.f64 x) x))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x x) (fma.f64 x (neg.f64 x) x))) (-.f64 (*.f64 x x) x))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) x)) (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (neg.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)))) (+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal -1 binary64))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x x x))
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(*.f64 (fma.f64 x x x) #s(literal 1 binary64))
(*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (neg.f64 x) x)))))
(*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)))))
(*.f64 (*.f64 (fma.f64 x x x) (-.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))
(*.f64 (neg.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))) (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (neg.f64 x) x))))))
(*.f64 (*.f64 (fma.f64 x x x) (fma.f64 x (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) x)))
(*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (-.f64 (*.f64 x x) x) (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x) #s(literal 1 binary64)) (fma.f64 x (neg.f64 x) x)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x) #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal -1 binary64) x)))))
(*.f64 (/.f64 (fma.f64 x x x) x) (/.f64 (-.f64 (*.f64 x x) x) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x x))
(*.f64 (/.f64 (fma.f64 x x x) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)))
(*.f64 (/.f64 (fma.f64 x x x) (-.f64 (*.f64 x x) x)) (/.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 x x) x) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))

eval134.0ms (2%)

Memory
3.9MiB live, 241.7MiB allocated
Compiler

Compiled 15 101 to 1 425 computations (90.6% saved)

prune75.0ms (1.1%)

Memory
15.8MiB live, 218.1MiB allocated
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New6312633
Fresh101
Picked145
Done011
Total6337640
Accuracy
100.0%
Counts
640 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
71.4%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
51.0%
#s(approx (/ (/ (+ (* x (* x x)) 1) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)))
50.7%
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)))
51.6%
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
50.3%
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
49.6%
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
Compiler

Compiled 52 to 31 computations (40.4% saved)

simplify250.0ms (3.8%)

Memory
-2.9MiB live, 245.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 x x))
cost-diff128
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
cost-diff128
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
cost-diff896
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
cost-diff0
(/.f64 #s(literal -2 binary64) x)
cost-diff0
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
cost-diff0
#s(approx (/ (/ (+ (* x (* x x)) 1) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)))
Rules
9 198×lower-fma.f64
9 198×lower-fma.f32
2 420×lower-*.f32
2 414×lower-*.f64
1 544×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02278
03076
16474
214974
336174
479974
5174774
6435768
0831165
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (/ (+ (* x (* x x)) 1) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
#s(literal -1 binary64)
(/.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
x
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
Outputs
#s(approx (/ (/ (+ (* x (* x x)) 1) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
#s(literal -1 binary64)
(/.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
x
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))

localize52.0ms (0.8%)

Memory
-8.2MiB live, 101.9MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x x)
accuracy0.03125
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
accuracy0.481223871079574
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy18.187101766180156
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
accuracy0
(/.f64 #s(literal -2 binary64) x)
accuracy0
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
accuracy31.330763487913345
#s(approx (/ (/ (+ (* x (* x x)) 1) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)))
Samples
33.0ms256×0valid
Compiler

Compiled 74 to 22 computations (70.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-div: 8.0ms (33.3% of total)
ival-mult: 8.0ms (33.3% of total)
ival-add: 6.0ms (25% of total)
ival-sub: 2.0ms (8.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
11.5MiB live, 11.5MiB allocated
Counts
8 → 96
Calls
Call 1
Inputs
#s(alt #s(approx (/ (/ (+ (* x (* x x)) 1) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))) (patch #s(approx (/ (/ (+ (* x (* x x)) 1) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (patch (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (/ (/ (+ (* x (* x x)) 1) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))) (patch #s(approx (/ (/ (+ (* x (* x x)) 1) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 x)) (taylor 0 x) (#s(alt #s(approx (/ (/ (+ (* x (* x x)) 1) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))) (patch #s(approx (/ (/ (+ (* x (* x x)) 1) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 2 (* 2 x)))) (taylor 0 x) (#s(alt #s(approx (/ (/ (+ (* x (* x x)) 1) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))) (patch #s(approx (/ (/ (+ (* x (* x x)) 1) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x)))))) (taylor 0 x) (#s(alt #s(approx (/ (/ (+ (* x (* x x)) 1) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))) (patch #s(approx (/ (/ (+ (* x (* x x)) 1) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf x) (#s(alt #s(approx (/ (/ (+ (* x (* x x)) 1) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))) (patch #s(approx (/ (/ (+ (* x (* x x)) 1) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (/ (/ (+ (* x (* x x)) 1) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))) (patch #s(approx (/ (/ (+ (* x (* x x)) 1) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) (taylor inf x) (#s(alt #s(approx (/ (/ (+ (* x (* x x)) 1) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))) (patch #s(approx (/ (/ (+ (* x (* x x)) 1) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (/ (/ (+ (* x (* x x)) 1) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))) (patch #s(approx (/ (/ (+ (* x (* x x)) 1) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (/ (+ (* x (* x x)) 1) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))) (patch #s(approx (/ (/ (+ (* x (* x x)) 1) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) (taylor -inf x) (#s(alt #s(approx (/ (/ (+ (* x (* x x)) 1) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))) (patch #s(approx (/ (/ (+ (* x (* x x)) 1) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1) (taylor -inf x) (#s(alt #s(approx (/ (/ (+ (* x (* x x)) 1) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))) (patch #s(approx (/ (/ (+ (* x (* x x)) 1) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (patch (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 x) 2) x) (taylor 0 x) (#s(alt (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (patch (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 x) 2) x) (taylor 0 x) (#s(alt (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (patch (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 x) 2) x) (taylor 0 x) (#s(alt (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (patch (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf x) (#s(alt (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (patch (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (patch (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (patch (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (patch (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf x) (#s(alt (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (patch (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (patch (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (patch (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (patch (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor inf x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor inf x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor inf x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor inf x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 x)) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 2 (* 2 x)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x)))))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
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#s(alt 1 (taylor 0 x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 x)) (taylor 0 x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 2 x))) (taylor 0 x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 2 x))) (taylor 0 x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (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 (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
Calls

24 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(+ -1 (/ -2 x))
0.0ms
x
@0
(/ -2 x)
0.0ms
x
@inf
(/ 1 (- 1 (* x x)))
0.0ms
x
@inf
(/ -2 x)
0.0ms
x
@0
(/ 1 (- 1 (* x x)))

simplify292.0ms (4.4%)

Memory
-22.1MiB live, 258.4MiB allocated
Algorithm
egg-herbie
Rules
11 704×lower-fma.f64
11 704×lower-fma.f32
3 278×lower-*.f64
3 278×lower-*.f32
1 468×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064606
1179572
2476562
31261538
43019538
56201538
08173514
Stop Event
iter limit
node limit
Counts
96 → 96
Calls
Call 1
Inputs
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(/ -2 x)
(/ (- (* -1 x) 2) x)
(/ (- (* -1 x) 2) x)
(/ (- (* -1 x) 2) x)
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(* -1 (+ 1 (* 2 (/ 1 x))))
(* -1 (+ 1 (* 2 (/ 1 x))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(* -1 (+ 1 (* 2 (/ 1 x))))
(* -1 (+ 1 (* 2 (/ 1 x))))
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (pow x 2))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))
(/ -1 (pow x 2))
(* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 2))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ -1 (pow x 2))
(* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 2))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 x)))
(+ 1 (* x (+ 2 x)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* 2 x))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x x x) x) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) x))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) x))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -1 x) 2) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* -1 x) 2) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* -1 x) 2) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* 2 x))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x x x) x) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) x))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) x))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (pow x 2))))
(fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2)))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2)))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 x)))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ 2 x)))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

rewrite397.0ms (6%)

Memory
29.1MiB live, 385.9MiB allocated
Rules
5 158×lower-/.f32
5 154×lower-/.f64
4 380×lower-fma.f64
4 380×lower-fma.f32
3 988×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02270
03068
115848
2140848
0828648
Stop Event
iter limit
node limit
iter limit
Counts
8 → 791
Calls
Call 1
Inputs
#s(approx (/ (/ (+ (* x (* x x)) 1) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -2 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
Outputs
#s(approx (/ (/ (+ (* x (* x x)) 1) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))))
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 (/.f64 #s(literal -2 binary64) x) (-.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (-.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))))
(/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 4 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x)))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (-.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x x))))) (neg.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))) (fma.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) x) (-.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))))
(*.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (-.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)))))
(*.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(literal -2 binary64) x)
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 2 binary64) (neg.f64 x))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) x))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 (log1p.f64 (*.f64 x (neg.f64 x))) #s(literal -1 binary64) (*.f64 (log1p.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 x (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (neg.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) x))
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (fma.f64 x x x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) x))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) x))
(fma.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) x))
(fma.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) x))
(fma.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) x))
(fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
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(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))))
(pow.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (neg.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x)))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x)))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))

eval265.0ms (4%)

Memory
9.5MiB live, 229.3MiB allocated
Compiler

Compiled 31 300 to 2 559 computations (91.8% saved)

prune207.0ms (3.1%)

Memory
3.5MiB live, 242.3MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New8861887
Fresh000
Picked112
Done055
Total8877894
Accuracy
100.0%
Counts
894 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
71.4%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))))
51.0%
#s(approx (/ (/ (+ (* x (* x x)) 1) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)))
50.7%
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)))
51.6%
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
50.3%
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
49.6%
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
Compiler

Compiled 52 to 32 computations (38.5% saved)

simplify583.0ms (8.7%)

Memory
-36.0MiB live, 267.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 x x))
cost-diff128
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
cost-diff192
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))))
Rules
19 698×lower-fma.f32
19 696×lower-fma.f64
2 856×lower-+.f32
2 854×lower-+.f64
2 692×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01263
01964
14362
27862
312062
420359
525359
636259
776159
8145259
9242559
10391559
11529659
12611459
13642159
14646859
15650359
16653959
17704659
18740659
19779359
0802158
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
x
#s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))))
(/.f64 #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
x
#s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
#s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 2 binary64) x)
(+.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

localize54.0ms (0.8%)

Memory
7.0MiB live, 44.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x x)
accuracy0
#s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
accuracy0.481223871079574
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy18.187101766180156
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))))
Samples
20.0ms256×0valid
Compiler

Compiled 52 to 14 computations (73.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 6.0ms (46.7% of total)
ival-add: 3.0ms (23.3% of total)
ival-div: 2.0ms (15.6% of total)
ival-sub: 1.0ms (7.8% 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
6.1MiB live, 6.1MiB allocated
Counts
5 → 60
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (patch #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 x)) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 2 (* 2 x)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x)))))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (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 (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (patch #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 x)) (taylor 0 x) (#s(alt #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (patch #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 2 x))) (taylor 0 x) (#s(alt #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (patch #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 2 x))) (taylor 0 x) (#s(alt #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (patch #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (patch #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (patch #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (patch #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (patch #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (patch #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (patch #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (patch #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (patch #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
Calls

15 calls:

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

simplify267.0ms (4%)

Memory
18.9MiB live, 180.7MiB allocated
Algorithm
egg-herbie
Rules
11 524×lower-fma.f64
11 524×lower-fma.f32
3 234×lower-*.f64
3 234×lower-*.f32
1 450×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059417
1167398
2460388
31238368
42989368
56135368
08094350
Stop Event
iter limit
node limit
Counts
60 → 60
Calls
Call 1
Inputs
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (pow x 2))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))
(/ -1 (pow x 2))
(* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 2))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ -1 (pow x 2))
(* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 2))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 x)))
(+ 1 (* x (+ 2 x)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* 2 x))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x x x) x) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) x))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) x))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (pow x 2))))
(fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2)))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2)))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (pow x 2))
(neg.f64 (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (pow x 2))
(neg.f64 (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 x)))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ 2 x)))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))

rewrite316.0ms (4.7%)

Memory
-3.1MiB live, 363.6MiB allocated
Rules
7 362×lower-fma.f32
7 360×lower-fma.f64
4 076×lower-*.f32
4 072×lower-*.f64
3 478×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01251
01947
19645
270745
3799245
0862244
Stop Event
iter limit
node limit
iter limit
Counts
5 → 267
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
#s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
Outputs
(+.f64 (/.f64 #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (/.f64 #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))))
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(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 x (neg.f64 x) #s(literal -1 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 x (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 x x #s(literal 1 binary64)))
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (-.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x)))
(neg.f64 (neg.f64 (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(*.f64 x (neg.f64 (neg.f64 x)))
(*.f64 x (/.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) x)
#s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))

eval34.0ms (0.5%)

Memory
5.5MiB live, 80.9MiB allocated
Compiler

Compiled 10 206 to 859 computations (91.6% saved)

prune46.0ms (0.7%)

Memory
-12.2MiB live, 107.1MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New3261327
Fresh000
Picked101
Done066
Total3277334
Accuracy
100.0%
Counts
334 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
71.4%
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))
51.0%
#s(approx (/ (/ (+ (* x (* x x)) 1) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)))
50.7%
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)))
51.6%
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
50.3%
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
49.6%
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
Compiler

Compiled 149 to 63 computations (57.7% saved)

regimes9.0ms (0.1%)

Memory
-24.5MiB live, 14.3MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)))
#s(approx (/ (+ x 1) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)))
#s(approx (/ (/ (+ (* x (* x x)) 1) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)))
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(approx (* (+ x 1) (+ x 1)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
Outputs
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Calls

2 calls:

4.0ms
x
3.0ms
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 10 to 6 computations (40% saved)

regimes5.0ms (0.1%)

Memory
10.1MiB live, 10.1MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)))
#s(approx (/ (+ x 1) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)))
#s(approx (/ (/ (+ (* x (* x x)) 1) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)))
Outputs
#s(approx (/ (+ x 1) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)))
Calls

2 calls:

3.0ms
x
2.0ms
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
99.3%3x
99.3%2(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0%)

Memory
3.8MiB live, 3.8MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)))
Outputs
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)))
Calls

1 calls:

2.0ms
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
99.1%2(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes2.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
Outputs
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
Calls

1 calls:

1.0ms
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
98.9%2(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes1.0ms (0%)

Memory
5.6MiB live, 5.6MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
Outputs
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
Calls

1 calls:

1.0ms
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
98.3%2(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes3.0ms (0%)

Memory
8.9MiB live, 8.9MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
Outputs
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
Calls

2 calls:

1.0ms
x
1.0ms
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
49.6%1x
49.6%1(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 10 to 6 computations (40% saved)

bsearch0.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9998556120567006
0.9012359320548154
Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9998556120567006
0.9012359320548154
Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9998556120567006
0.9012359320548154
Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch14.0ms (0.2%)

Memory
-15.0MiB live, 23.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
-0.9998556120567006
0.9012359320548154
Samples
4.0ms240×0valid
Compiler

Compiled 131 to 99 computations (24.4% saved)

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

simplify11.0ms (0.2%)

Memory
-18.4MiB live, 22.1MiB allocated
Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
1-exp_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029147
136147
239147
341147
442147
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ (+ x 1) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))) #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64)) #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64)) #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64)) #s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64)))
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
Outputs
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ (+ x 1) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))) #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64)) #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64)) #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64)) #s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64)))
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))

soundness983.0ms (14.8%)

Memory
14.2MiB live, 291.8MiB allocated
Rules
10 702×lower-fma.f64
10 702×lower-fma.f32
2 414×lower-*.f64
2 414×lower-*.f32
1 974×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040165
1114150
2255150
3590146
41225146
52794146
64949146
76697146
87350146
97545146
107569146
117580146
127964146
08165140
Stop Event
fuel
iter limit
node limit
Compiler

Compiled 122 to 50 computations (59% saved)

preprocess38.0ms (0.6%)

Memory
-10.6MiB live, 70.9MiB allocated
Compiler

Compiled 186 to 52 computations (72% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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