Asymptote A

Time bar (total: 7.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
50%50%50%0%0%0%0%3
75%75%25%0%0%0%0%4
87.5%87.5%12.5%0%0%0%0%5
93.8%93.7%6.2%0%0%0%0%6
96.9%96.8%3.1%0%0%0%0%7
98.4%98.4%1.6%0%0%0%0%8
99.2%99.2%0.8%0%0%0%0%9
99.6%99.6%0.4%0%0%0%0%10
99.8%99.8%0.2%0%0%0%0%11
99.9%99.9%0.1%0%0%0%0%12
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample999.0ms (14.1%)

Memory
45.7MiB live, 1 510.3MiB allocated
Samples
467.0ms3 879×1valid
269.0ms4 377×0valid
Precisions
Click to see histograms. Total time spent on operations: 563.0ms
ival-div: 237.0ms (42.1% of total)
ival-sub: 111.0ms (19.7% of total)
ival-add: 104.0ms (18.5% of total)
adjust: 98.0ms (17.4% of total)
ival-true: 5.0ms (0.9% of total)
exact: 5.0ms (0.9% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain134.0ms (1.9%)

Memory
-29.0MiB live, 174.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
710-0-(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
00-0-(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
00-0-(-.f64 x #s(literal 1 binary64))
00-0-#s(literal 1 binary64)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))cancellation710
Confusion
Predicted +Predicted -
+710
-0185
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7100
-00185
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0185
171
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
50.0ms280×0valid
29.0ms232×1valid
Compiler

Compiled 74 to 25 computations (66.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-sub: 38.0ms (65.1% of total)
ival-div: 11.0ms (18.8% of total)
adjust: 5.0ms (8.6% of total)
ival-add: 4.0ms (6.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess31.0ms (0.4%)

Memory
10.8MiB live, 45.7MiB allocated
Algorithm
1×egg-herbie
Rules
160×lower-fma.f64
160×lower-fma.f32
96×lower-*.f64
96×lower-*.f32
72×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0927
12125
25222
310622
419022
525822
627322
727522
0711
01211
12011
22711
34011
46111
58611
613111
717411
824311
928011
1030011
1130011
030011
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
Symmetry

(abs x)

Compiler

Compiled 12 to 7 computations (41.7% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶75.9%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify13.0ms (0.2%)

Memory
15.0MiB live, 15.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Rules
160×lower-fma.f64
160×lower-fma.f32
96×lower-*.f64
96×lower-*.f32
72×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0729
01229
12029
22729
34029
46129
58629
613129
717429
824329
928029
1030029
1130029
030029
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
x
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
x
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal 1 binary64))
(+.f64 x #s(literal -1 binary64))

localize37.0ms (0.5%)

Memory
-25.9MiB live, 59.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 x #s(literal 1 binary64))
accuracy0.00390625
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
accuracy0.0078125
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
accuracy15.454419116201873
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Samples
13.0ms116×1valid
10.0ms140×0valid
Compiler

Compiled 31 to 9 computations (71% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-add: 5.0ms (31.5% of total)
ival-div: 5.0ms (31.5% of total)
ival-sub: 3.0ms (18.9% of total)
adjust: 2.0ms (12.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory
4.1MiB live, 4.1MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))>
#<alt (+.f64 x #s(literal 1 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))>
Outputs
#<alt 2>
#<alt (+ 2 (* 2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- x 1)))>
#<alt (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (/ 1 x) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -1 x) 1)) 1)) 1)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (/ 1 x)) x)>
#<alt (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (/ 1 x)) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))>
Calls

12 calls:

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

simplify226.0ms (3.2%)

Memory
13.5MiB live, 275.2MiB allocated
Algorithm
1×egg-herbie
Rules
10 646×lower-fma.f64
10 646×lower-fma.f32
3 680×lower-*.f64
3 680×lower-*.f32
1 938×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080405
1220395
2557373
31746352
45225352
08136343
Stop Event
1×iter limit
1×node limit
Counts
48 → 46
Calls
Call 1
Inputs
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/ 1 x)
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
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 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
Outputs
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- x 1)))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ 1 x) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1 x) 1)) 1)
(-.f64 #s(literal -1 binary64) (fma.f64 x x x))
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) x)

rewrite266.0ms (3.7%)

Memory
13.4MiB live, 416.2MiB allocated
Rules
10 498×lower-fma.f64
10 498×lower-fma.f32
3 964×lower-*.f64
3 964×lower-*.f32
3 924×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0724
01224
16624
264424
0903922
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 702
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
Outputs
(+.f64 (/.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 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
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(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.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))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.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))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (+.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 #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 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.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) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x 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 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x 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 #s(literal 1 binary64) (fma.f64 x x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #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 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 x (*.f64 x x)) (*.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) (fma.f64 x x x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.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 (+.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (fma.f64 x x x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 x #s(literal -1 binary64)))

eval96.0ms (1.3%)

Memory
4.8MiB live, 187.3MiB allocated
Compiler

Compiled 21 683 to 1 996 computations (90.8% saved)

prune93.0ms (1.3%)

Memory
16.7MiB live, 210.1MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New7426748
Fresh000
Picked101
Done000
Total7436749
Accuracy
99.3%
Counts
749 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.7%
(/.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
▶76.7%
(/.f64 (+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
▶52.1%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64)))
▶52.1%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)))
▶48.0%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
▶52.6%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
Compiler

Compiled 120 to 60 computations (50% saved)

simplify547.0ms (7.7%)

Memory
-150.6MiB live, 370.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x (*.f64 x x) x)
cost-diff0
(*.f64 x (fma.f64 x (*.f64 x x) x))
cost-diff0
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64)))
cost-diff128
(fma.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 #s(literal -2 binary64) (*.f64 x x))
cost-diff0
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)))
cost-diff128
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
cost-diff0
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
cost-diff0
(+.f64 x #s(literal -1 binary64))
cost-diff0
(-.f64 #s(literal -1 binary64) x)
cost-diff0
(/.f64 (+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
cost-diff576
(+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))
Rules
15 824×lower-fma.f32
15 816×lower-fma.f64
3 438×lower-*.f32
3 434×lower-*.f64
2 324×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025154
039156
174156
2159138
3346138
4550118
51456118
64924118
77232118
08259115
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(+.f64 x #s(literal -1 binary64))
(fma.f64 x x #s(literal -1 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x x)
x
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
#s(literal -2 binary64)
(*.f64 x x)
x
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x (fma.f64 x (*.f64 x x) x))
x
(fma.f64 x (*.f64 x x) x)
(*.f64 x x)
Outputs
(/.f64 (+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
(+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))
#s(literal -2 binary64)
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(+.f64 x #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) x)
(fma.f64 x x #s(literal -1 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 x (+.f64 x x) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 x (+.f64 x x) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x x)
x
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
#s(literal -2 binary64)
(*.f64 x x)
x
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) (fma.f64 x (+.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (+.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x (fma.f64 x (*.f64 x x) x))
(*.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))
x
(fma.f64 x (*.f64 x x) x)
(*.f64 x x)

localize88.0ms (1.2%)

Memory
6.5MiB live, 164.8MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x x)
accuracy0.0234375
(*.f64 x (fma.f64 x (*.f64 x x) x))
accuracy0.0625
(fma.f64 x (*.f64 x x) x)
accuracy30.676688217525868
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64)))
accuracy0
(*.f64 x x)
accuracy0.49808630177263413
(/.f64 #s(literal -2 binary64) (*.f64 x x))
accuracy32.86310093836424
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
accuracy0
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
accuracy0
(*.f64 x x)
accuracy30.659206222059368
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)))
accuracy30.34001972814395
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
accuracy0
(-.f64 #s(literal -1 binary64) x)
accuracy0
(+.f64 x #s(literal -1 binary64))
accuracy0.42777380177263413
(/.f64 (+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
accuracy28.820312500000004
(+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))
Samples
41.0ms121×1valid
21.0ms135×0valid
Compiler

Compiled 136 to 26 computations (80.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-add: 11.0ms (24.5% of total)
ival-div: 10.0ms (22.3% of total)
ival-mult: 10.0ms (22.3% of total)
ival-sub: 7.0ms (15.6% of total)
adjust: 7.0ms (15.6% of total)
exact: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
-28.2MiB live, 9.8MiB allocated
Counts
14 → 168
Calls
Call 1
Inputs
#<alt (+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))>
#<alt (/.f64 (+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))>
#<alt (-.f64 #s(literal -1 binary64) x)>
#<alt (+.f64 x #s(literal -1 binary64))>
#<alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))>
#<alt (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))>
#<alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)))>
#<alt (*.f64 x x)>
#<alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))>
#<alt (/.f64 #s(literal -2 binary64) (*.f64 x x))>
#<alt (fma.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))>
#<alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64)))>
#<alt (*.f64 x (fma.f64 x (*.f64 x x) x))>
#<alt (fma.f64 x (*.f64 x x) x)>
Outputs
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt 2>
#<alt (+ 2 (* 2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* -1 x) 1)>
#<alt (- (* -1 x) 1)>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt 2>
#<alt (+ 2 (* 2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt 2>
#<alt (+ 2 (* 2 (pow x 2)))>
#<alt (+ 2 (* 2 (pow x 2)))>
#<alt (+ 2 (* 2 (pow x 2)))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))>
#<alt 2>
#<alt (+ 2 (* 2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 2>
#<alt (+ 2 (* 2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt 2>
#<alt (+ 2 (* 2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))>
#<alt (* 2 (pow x 4))>
#<alt (* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* 2 (pow x 4))>
#<alt (* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt 2>
#<alt (+ 2 (* 2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (pow x 2)))>
#<alt (* (pow x 2) (+ 1 (pow x 2)))>
#<alt (* (pow x 2) (+ 1 (pow x 2)))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1 (/ 1 (pow x 2))))>
#<alt x>
#<alt (* x (+ 1 (pow x 2)))>
#<alt (* x (+ 1 (pow x 2)))>
#<alt (* x (+ 1 (pow x 2)))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 2))))>
Calls

42 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(+ (* 2 (* x (+ (* x (* x x)) x))) 2)
0.0ms
x
@0
(/ -2 (* x x))
0.0ms
x
@inf
(+ (* 2 (* x x)) 2)
0.0ms
x
@0
(/ (+ (- -1 x) (+ x -1)) (+ (* x x) -1))
0.0ms
x
@0
(+ (* 2 (* x (+ (* x (* x x)) x))) 2)

simplify207.0ms (2.9%)

Memory
14.4MiB live, 341.5MiB allocated
Algorithm
1×egg-herbie
Rules
10 196×lower-fma.f64
10 196×lower-fma.f32
3 414×lower-*.f64
3 414×lower-*.f32
2 158×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0531321
11671285
24381190
314381150
443491150
083001092
Stop Event
1×iter limit
1×node limit
Counts
168 → 165
Calls
Call 1
Inputs
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
-1
(- (* -1 x) 1)
(- (* -1 x) 1)
(- (* -1 x) 1)
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* 2 (pow x 2)))
(+ 2 (* 2 (pow x 2)))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 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)
(pow x 2)
(pow x 2)
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(* 2 (pow x 4))
(* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 2 (pow x 4))
(* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (pow x 2)))
(* (pow x 2) (+ 1 (pow x 2)))
(* (pow x 2) (+ 1 (pow x 2)))
(pow x 4)
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(pow x 4)
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
x
(* x (+ 1 (pow x 2)))
(* x (+ 1 (pow x 2)))
(* x (+ 1 (pow x 2)))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
Outputs
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 x (*.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) 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)
(* -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)
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
x
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 x (*.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* 2 (pow x 2)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* 2 (pow x 2)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 x (*.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.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)
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 x (*.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 x (*.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 x (*.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))
(* 2 (pow x 4))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x x) x)))
(* (pow x 4) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(fma.f64 x (*.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))
(* (pow x 4) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(fma.f64 x (*.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))
(* 2 (pow x 4))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x x) x)))
(* (pow x 4) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(fma.f64 x (*.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))
(* (pow x 4) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(fma.f64 x (*.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 x (*.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (pow x 2)))
(*.f64 x (fma.f64 x (*.f64 x x) x))
(* (pow x 2) (+ 1 (pow x 2)))
(*.f64 x (fma.f64 x (*.f64 x x) x))
(* (pow x 2) (+ 1 (pow x 2)))
(*.f64 x (fma.f64 x (*.f64 x x) x))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x x) x))
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x x) x))
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x x) x))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x x) x))
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x x) x))
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x x) x))
x
(* x (+ 1 (pow x 2)))
(fma.f64 x (*.f64 x x) x)
(* x (+ 1 (pow x 2)))
(fma.f64 x (*.f64 x x) x)
(* x (+ 1 (pow x 2)))
(fma.f64 x (*.f64 x x) x)
(pow x 3)
(*.f64 x (*.f64 x x))
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x x) x)
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x x) x)
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x x) x)
(pow x 3)
(*.f64 x (*.f64 x x))
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x x) x)
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x x) x)
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x x) x)

rewrite309.0ms (4.3%)

Memory
-7.5MiB live, 470.7MiB allocated
Rules
8 236×lower-fma.f32
8 228×lower-fma.f64
4 256×lower-/.f32
4 252×lower-/.f64
3 734×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025135
039131
1209130
22013130
08711122
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
14 → 662
Calls
Call 1
Inputs
(+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))
(/.f64 (+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 #s(literal -1 binary64) x)
(+.f64 x #s(literal -1 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)))
(*.f64 x x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64)))
(*.f64 x (fma.f64 x (*.f64 x x) x))
(fma.f64 x (*.f64 x x) x)
Outputs
(+.f64 #s(literal -1 binary64) (+.f64 x (-.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal -1 binary64) (neg.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal -1 binary64) (+.f64 (neg.f64 x) (+.f64 #s(literal -1 binary64) x)))
(+.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))
(+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x))
(+.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))
(+.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(+.f64 (+.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))
(+.f64 (+.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)
(+.f64 (+.f64 (+.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))
(-.f64 #s(literal -1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x)))
(-.f64 x (-.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(-.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal 1 binary64)))
(-.f64 (+.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (+.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x)) (+.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (+.f64 (+.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x))) (fma.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x) (fma.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal -1 binary64))))) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (fma.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x) (fma.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal -1 binary64))))))
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x)))))) (/.f64 (*.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 x (-.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x)) (-.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (-.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))))
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(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (neg.f64 (-.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x x)) x)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x x)) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x x)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x x)) x)) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x x)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x x)) x))))))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x x)) x) (*.f64 (fma.f64 x (*.f64 x x) x) (-.f64 (*.f64 x (*.f64 x x)) x))) #s(literal -1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) x) (-.f64 (*.f64 x (*.f64 x x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x x)) x)))

eval112.0ms (1.6%)

Memory
8.7MiB live, 192.7MiB allocated
Compiler

Compiled 21 914 to 2 133 computations (90.3% saved)

prune84.0ms (1.2%)

Memory
26.7MiB live, 191.6MiB allocated
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New8683871
Fresh011
Picked235
Done000
Total8707877
Accuracy
99.9%
Counts
877 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶76.7%
(/.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
▶99.3%
(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
✓52.1%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)))
▶48.0%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
▶48.5%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
✓48.0%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
✓52.6%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
Compiler

Compiled 58 to 32 computations (44.8% saved)

simplify220.0ms (3.1%)

Memory
-13.5MiB live, 266.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))
cost-diff576
(+.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
cost-diff704
(/.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
cost-diff0
(fma.f64 x x #s(literal -1 binary64))
cost-diff0
#s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64))
cost-diff0
(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
cost-diff0
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
cost-diff6080
(pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64))
cost-diff0
(/.f64 #s(literal -2 binary64) x)
cost-diff0
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
cost-diff384
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
Rules
12 526×lower-fma.f32
12 524×lower-fma.f64
2 482×lower--.f32
2 480×lower--.f64
2 444×lower-*.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
028135
040127
171127
2162103
3355103
4632103
5177088
6532588
7730488
0821888
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(*.f64 x x)
x
#s(literal -1/2 binary64)
#s(literal -1 binary64)
(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64))
#s(literal -2 binary64)
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(/.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(+.f64 #s(literal 1 binary64) x)
Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(*.f64 x x)
x
#s(literal -1/2 binary64)
#s(literal -1 binary64)
(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64))
#s(literal -2 binary64)
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(/.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(+.f64 #s(literal 1 binary64) x)

localize99.0ms (1.4%)

Memory
-16.1MiB live, 141.3MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 #s(literal 1 binary64) x)
accuracy0.0078125
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))
accuracy0.078125
(/.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
accuracy28.820312500000004
(+.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
accuracy0
(fma.f64 x x #s(literal -1 binary64))
accuracy0
#s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64))
accuracy0.42777380177263413
(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
accuracy0
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
accuracy0
(*.f64 x x)
accuracy0.49418005177263413
(pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64))
accuracy32.86310093836424
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
accuracy0
(/.f64 #s(literal -2 binary64) x)
accuracy0.16796875
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
accuracy32.86310093836424
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
Samples
46.0ms121×1valid
27.0ms135×0valid
Compiler

Compiled 121 to 27 computations (77.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-div: 15.0ms (27.2% of total)
ival-add: 11.0ms (19.9% of total)
ival-sub: 8.0ms (14.5% of total)
ival-pow: 8.0ms (14.5% of total)
adjust: 7.0ms (12.7% of total)
ival-mult: 4.0ms (7.2% of total)
exact: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
5.1MiB live, 5.1MiB allocated
Counts
15 → 180
Calls
Call 1
Inputs
#<alt (/.f64 (/.f64 #s(literal -2 binary64) x) x)>
#<alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))>
#<alt (/.f64 #s(literal -2 binary64) x)>
#<alt (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64))>
#<alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))>
#<alt (*.f64 (*.f64 x x) #s(literal -1/2 binary64))>
#<alt (*.f64 x x)>
#<alt (/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))>
#<alt #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64))>
#<alt (fma.f64 x x #s(literal -1 binary64))>
#<alt (/.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))>
#<alt (-.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1 binary64) x)>
Outputs
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt 2>
#<alt (+ 2 (* 2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt 2>
#<alt (+ 2 (* 2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 2>
#<alt (+ 2 (* 2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -1>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt 2>
#<alt (+ 2 (* 2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt (+ 2 (* -2 x))>
#<alt (+ 2 (* x (- (* 2 x) 2)))>
#<alt (+ 2 (* x (- (* x (+ 2 (* -2 x))) 2)))>
#<alt (/ 2 x)>
#<alt (/ (- 2 (* 2 (/ 1 x))) x)>
#<alt (/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x)>
#<alt (/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x)>
#<alt (/ 2 x)>
#<alt (* -1 (/ (- (* 2 (/ 1 x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
Calls

45 calls:

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

simplify241.0ms (3.4%)

Memory
21.3MiB live, 332.4MiB allocated
Algorithm
1×egg-herbie
Rules
13 932×lower-fma.f64
13 932×lower-fma.f32
4 638×lower-*.f64
4 638×lower-*.f32
1 664×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0771143
12141126
25431066
316071032
449511032
08129998
Stop Event
1×iter limit
1×node limit
Counts
180 → 178
Calls
Call 1
Inputs
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (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)
(pow x 2)
(pow x 2)
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
2
2
2
2
2
2
2
2
2
2
2
2
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2)))
(/ 2 x)
(/ (- 2 (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x)
(/ 2 x)
(* -1 (/ (- (* 2 (/ 1 x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) 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))))
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)))
Outputs
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(*.f64 (fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x 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)
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(*.f64 (fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* -1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* -1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* -1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* -1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* -1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* -1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* -1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* -1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* -1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* -1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* -1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(*.f64 (fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(*.f64 (fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (- 2 (* 2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x)
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal -1 binary64))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* -1 (/ (- (* 2 (/ 1 x)) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x))
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal -1 binary64))))
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)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))

rewrite302.0ms (4.3%)

Memory
-12.8MiB live, 461.3MiB allocated
Rules
5 600×lower-fma.f32
5 598×lower-fma.f64
4 220×lower-/.f32
4 210×lower-/.f64
2 794×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028125
040117
1229117
22495117
09146114
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 828
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
(/.f64 #s(literal -2 binary64) x)
(pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(*.f64 x x)
(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64))
(fma.f64 x x #s(literal -1 binary64))
(/.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) x)
Outputs
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) #s(literal -1/2 binary64) (*.f64 (log.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (/.f64 #s(literal 2 binary64) x) x))
(neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 x (neg.f64 x))))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/.f64 (/.f64 #s(literal -2 binary64) x) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) #s(literal -2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x (neg.f64 x)))
(/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 x x)))
(/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 x))
(/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))) (neg.f64 x))
(pow.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (pow.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2 binary64) x))
(*.f64 (pow.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(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 -2 binary64) x)
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 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 -1 binary64) (neg.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.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))
(pow.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 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))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) #s(literal -1/2 binary64) (*.f64 (log.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (/.f64 #s(literal 2 binary64) x) x))
(neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 x (neg.f64 x))))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/.f64 (/.f64 #s(literal -2 binary64) x) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) #s(literal -2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x (neg.f64 x)))
(/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 x x)))
(/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 x))
(/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))) (neg.f64 x))
(pow.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (pow.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2 binary64) x))
(*.f64 (pow.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(exp.f64 (log.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x)) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
(/.f64 x (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x))))
(/.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (*.f64 x #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 x)) (/.f64 #s(literal -2 binary64) x))
(pow.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1/2 binary64))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(*.f64 (*.f64 x x) (exp.f64 (log.f64 #s(literal -1/2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal -1/2 binary64)) x)
(*.f64 (/.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 x #s(literal 2 binary64)) (neg.f64 x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 (exp.f64 (log.f64 #s(literal -1/2 binary64))) (*.f64 x x))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(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)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)))) #s(literal -1 binary64)))
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(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64))))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.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)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #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 (+.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 (+.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 x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (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))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))

eval158.0ms (2.2%)

Memory
40.2MiB live, 258.0MiB allocated
Compiler

Compiled 26 543 to 3 000 computations (88.7% saved)

prune149.0ms (2.1%)

Memory
-39.1MiB live, 260.0MiB allocated
Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New1 15551 160
Fresh000
Picked224
Done033
Total1 157101 167
Accuracy
100.0%
Counts
1 167 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(/.f64 (/.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
▶54.3%
(/.f64 #s(approx (/ (+ (- 1 x) (+ 1 x)) (+ 1 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x))
✓99.3%
(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
▶62.0%
(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
▶62.0%
(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
▶62.0%
(*.f64 (/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
✓52.1%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)))
✓48.5%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
✓48.0%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
✓52.6%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
Compiler

Compiled 175 to 105 computations (40% saved)

simplify267.0ms (3.8%)

Memory
47.8MiB live, 383.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
cost-diff0
#s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64))
cost-diff0
(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
cost-diff2048
(*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
cost-diff0
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
cost-diff0
#s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64))
cost-diff0
(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
cost-diff1728
(/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
cost-diff0
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
cost-diff0
#s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64))
cost-diff0
(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))
cost-diff1344
(*.f64 (/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
#s(approx (/ (+ (- 1 x) (+ 1 x)) (+ 1 x)) #s(literal 2 binary64))
cost-diff0
(/.f64 #s(approx (/ (+ (- 1 x) (+ 1 x)) (+ 1 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x))
cost-diff0
(+.f64 #s(literal 1 binary64) x)
cost-diff0
#s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64))
cost-diff0
(/.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x))
cost-diff576
(/.f64 (/.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
Rules
15 608×lower-fma.f32
15 604×lower-fma.f64
4 112×lower-*.f32
4 104×lower-*.f64
3 022×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031306
048308
187299
2192197
3462171
41043170
53466170
08113165
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 #s(literal 1 binary64) x)
(/.f64 #s(approx (/ (+ (- 1 x) (+ 1 x)) (+ 1 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x))
#s(approx (/ (+ (- 1 x) (+ 1 x)) (+ 1 x)) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 (/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))
#s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64))
#s(literal -2 binary64)
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
x
(*.f64 x (*.f64 x x))
(*.f64 x x)
#s(literal -1 binary64)
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
x
(*.f64 x (*.f64 x x))
(*.f64 x x)
#s(literal -1 binary64)
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.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))
x
(*.f64 x (*.f64 x x))
(*.f64 x x)
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 x x #s(literal 1 binary64))
Outputs
(/.f64 (/.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 #s(literal 1 binary64) x)
(/.f64 #s(approx (/ (+ (- 1 x) (+ 1 x)) (+ 1 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x))
#s(approx (/ (+ (- 1 x) (+ 1 x)) (+ 1 x)) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 (/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))
(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)))
#s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64))
#s(literal -2 binary64)
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))
x
(*.f64 x (*.f64 x x))
(*.f64 x x)
#s(literal -1 binary64)
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))
x
(*.f64 x (*.f64 x x))
(*.f64 x x)
#s(literal -1 binary64)
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (*.f64 (fma.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 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 x x #s(literal -1 binary64))
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))
x
(*.f64 x (*.f64 x x))
(*.f64 x x)
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 x x #s(literal 1 binary64))

localize142.0ms (2%)

Memory
-19.0MiB live, 221.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.109375
(*.f64 x (*.f64 x x))
accuracy0.4121489297076138
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
accuracy0.42777380177263413
(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
accuracy20.62906506573553
(*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
accuracy0.0234375
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
accuracy0.109375
(*.f64 x (*.f64 x x))
accuracy0.42777380177263413
(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
accuracy21.445471315735528
(/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
accuracy0.0234375
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
accuracy0.109375
(*.f64 x (*.f64 x x))
accuracy0.43487910966634846
(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))
accuracy23.567793151632678
(*.f64 (/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
accuracy0
(-.f64 #s(literal 1 binary64) x)
accuracy0.078125
(/.f64 #s(approx (/ (+ (- 1 x) (+ 1 x)) (+ 1 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x))
accuracy29.73877725006902
#s(approx (/ (+ (- 1 x) (+ 1 x)) (+ 1 x)) #s(literal 2 binary64))
accuracy0
(+.f64 #s(literal 1 binary64) x)
accuracy0
#s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64))
accuracy0.0078125
(/.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x))
accuracy0.078125
(/.f64 (/.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
Samples
71.0ms116×1valid
25.0ms140×0valid
Compiler

Compiled 302 to 27 computations (91.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-div: 42.0ms (59.4% of total)
ival-mult: 10.0ms (14.2% of total)
ival-add: 9.0ms (12.7% of total)
adjust: 6.0ms (8.5% of total)
ival-sub: 4.0ms (5.7% of total)
exact: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
13.0MiB live, 13.0MiB allocated
Counts
17 → 204
Calls
Call 1
Inputs
#<alt (/.f64 (/.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x))>
#<alt #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64))>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 #s(approx (/ (+ (- 1 x) (+ 1 x)) (+ 1 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x))>
#<alt #s(approx (/ (+ (- 1 x) (+ 1 x)) (+ 1 x)) #s(literal 2 binary64))>
#<alt (-.f64 #s(literal 1 binary64) x)>
#<alt (*.f64 (/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))>
#<alt (/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))>
#<alt #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64))>
#<alt (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))>
#<alt (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))>
#<alt (/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))>
#<alt (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))>
#<alt (/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))>
#<alt (*.f64 x (*.f64 x x))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))>
Outputs
#<alt 2>
#<alt (+ 2 (* 2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt 2>
#<alt (+ 2 (* -2 x))>
#<alt (+ 2 (* x (- (* 2 x) 2)))>
#<alt (+ 2 (* x (- (* x (+ 2 (* -2 x))) 2)))>
#<alt (/ 2 x)>
#<alt (/ (- 2 (* 2 (/ 1 x))) x)>
#<alt (/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x)>
#<alt (/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x)>
#<alt (/ 2 x)>
#<alt (* -1 (/ (- (* 2 (/ 1 x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x))>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt 2>
#<alt (+ 2 (* 2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt 2>
#<alt (+ 2 (* -2 x))>
#<alt (+ 2 (* x (- (* 2 x) 2)))>
#<alt (+ 2 (* x (- (* x (+ 2 (* -2 x))) 2)))>
#<alt (/ 2 x)>
#<alt (/ (- 2 (* 2 (/ 1 x))) x)>
#<alt (/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x)>
#<alt (/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x)>
#<alt (/ 2 x)>
#<alt (* -1 (/ (- (* 2 (/ 1 x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt 2>
#<alt (+ 2 (* 2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt 2>
#<alt (+ 2 (* 2 (pow x 4)))>
#<alt (+ 2 (* (pow x 4) (+ 2 (* 2 (pow x 4)))))>
#<alt (+ 2 (* (pow x 4) (+ 2 (* (pow x 4) (+ 2 (* 2 (pow x 4)))))))>
#<alt (/ -2 (pow x 4))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))) 2) (pow x 4))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 8))) (+ 2 (* 2 (/ 1 (pow x 4))))) (pow x 4))>
#<alt (/ -2 (pow x 4))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))) 2) (pow x 4))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 8))) (+ 2 (* 2 (/ 1 (pow x 4))))) (pow x 4))>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -1>
#<alt (- (pow x 4) 1)>
#<alt (- (pow x 4) 1)>
#<alt (- (pow x 4) 1)>
#<alt (pow x 4)>
#<alt (* (pow x 4) (- 1 (/ 1 (pow x 4))))>
#<alt (* (pow x 4) (- 1 (/ 1 (pow x 4))))>
#<alt (* (pow x 4) (- 1 (/ 1 (pow x 4))))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (- 1 (/ 1 (pow x 4))))>
#<alt (* (pow x 4) (- 1 (/ 1 (pow x 4))))>
#<alt (* (pow x 4) (- 1 (/ 1 (pow x 4))))>
#<alt -1>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt 2>
#<alt (+ 2 (* 2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt -1>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt 2>
#<alt (+ 2 (* 2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (pow x 2) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (- 1 (/ 1 (pow x 2))) (pow x 2))>
#<alt (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2))>
#<alt (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (- 1 (/ 1 (pow x 2))) (pow x 2))>
#<alt (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2))>
#<alt (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2))>
Calls

51 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/ (+ (- -1 x) (+ x -1)) (/ (+ (* x (* x (* x x))) -1) (+ (* x x) 1)))
0.0ms
x
@inf
(/ (+ (- -1 x) (+ x -1)) (+ (* x (* x (* x x))) -1))
0.0ms
x
@-inf
(* x (* x x))
0.0ms
x
@0
(/ (+ (- -1 x) (+ x -1)) (+ (* x (* x (* x x))) -1))
0.0ms
x
@inf
(/ (+ (* x (* x (* x x))) -1) (+ (* x x) 1))

simplify224.0ms (3.2%)

Memory
13.9MiB live, 322.8MiB allocated
Algorithm
1×egg-herbie
Rules
13 150×lower-fma.f64
13 150×lower-fma.f32
3 642×lower-*.f64
3 642×lower-*.f32
1 938×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01151607
13221580
28191484
324651428
465611428
081631371
Stop Event
1×iter limit
1×node limit
Counts
204 → 202
Calls
Call 1
Inputs
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2)))
(/ 2 x)
(/ (- 2 (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x)
(/ 2 x)
(* -1 (/ (- (* 2 (/ 1 x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x))
2
2
2
2
2
2
2
2
2
2
2
2
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)))
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2)))
(/ 2 x)
(/ (- 2 (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x)
(/ 2 x)
(* -1 (/ (- (* 2 (/ 1 x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) 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))))
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
2
(+ 2 (* 2 (pow x 4)))
(+ 2 (* (pow x 4) (+ 2 (* 2 (pow x 4)))))
(+ 2 (* (pow x 4) (+ 2 (* (pow x 4) (+ 2 (* 2 (pow x 4)))))))
(/ -2 (pow x 4))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))) 2) (pow x 4))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 8))) (+ 2 (* 2 (/ 1 (pow x 4))))) (pow x 4))
(/ -2 (pow x 4))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))) 2) (pow x 4))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 8))) (+ 2 (* 2 (/ 1 (pow x 4))))) (pow x 4))
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-1
(- (pow x 4) 1)
(- (pow x 4) 1)
(- (pow x 4) 1)
(pow x 4)
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(pow x 4)
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (pow x 2) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)))
(/ 1 (pow x 2))
(/ (- 1 (/ 1 (pow x 2))) (pow x 2))
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2))
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2))
(/ 1 (pow x 2))
(/ (- 1 (/ 1 (pow x 2))) (pow x 2))
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2))
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2))
Outputs
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 x (*.f64 x x) x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
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#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
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(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2)))
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(/ 2 x)
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(* -1 (/ (- (* 2 (/ 1 x)) 2) x))
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#s(literal 2 binary64)
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#s(literal 2 binary64)
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#s(literal 2 binary64)
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#s(literal 2 binary64)
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#s(literal 2 binary64)
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#s(literal 2 binary64)
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#s(literal 2 binary64)
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#s(literal 2 binary64)
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#s(literal 2 binary64)
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#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
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x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
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(* x (+ 1 (/ 1 x)))
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x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 x (*.f64 x x) x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
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(/ -2 (pow x 2))
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(/ -2 (pow x 2))
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2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
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(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2)))
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(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* -1 (/ (- (* 2 (/ 1 x)) 2) x))
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#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)
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
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(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 x (*.f64 x x) x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
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(/ -2 (pow x 2))
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(/ -2 (pow x 2))
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2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 4)))
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(+ 2 (* (pow x 4) (+ 2 (* 2 (pow x 4)))))
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) #s(literal 2 binary64))
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(/ -2 (pow x 4))
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#s(literal -2 binary64)
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#s(literal -2 binary64)
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#s(literal -2 binary64)
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#s(literal -2 binary64)
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#s(literal -2 binary64)
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#s(literal -2 binary64)
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#s(literal -2 binary64)
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#s(literal -2 binary64)
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#s(literal -2 binary64)
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#s(literal -2 binary64)
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#s(literal -2 binary64)
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#s(literal -2 binary64)
-1
#s(literal -1 binary64)
(- (pow x 4) 1)
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(- (pow x 4) 1)
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(- (pow x 4) 1)
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(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
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(* (pow x 4) (- 1 (/ 1 (pow x 4))))
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(* (pow x 4) (- 1 (/ 1 (pow x 4))))
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(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
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(* (pow x 4) (- 1 (/ 1 (pow x 4))))
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(* (pow x 4) (- 1 (/ 1 (pow x 4))))
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#s(literal -1 binary64)
(- (pow x 2) 1)
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(- (pow x 2) 1)
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(- (pow x 2) 1)
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(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
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(* (pow x 2) (- 1 (/ 1 (pow x 2))))
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(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
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(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 x (*.f64 x x) x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
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(/ -2 (pow x 2))
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(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
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(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
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(/ -2 (pow x 2))
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(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
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#s(literal -1 binary64)
(- (pow x 2) 1)
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(- (pow x 2) 1)
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(- (pow x 2) 1)
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(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
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(* (pow x 2) (- 1 (/ 1 (pow x 2))))
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(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
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(* (pow x 2) (- 1 (/ 1 (pow x 2))))
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(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
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(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 x (*.f64 x x) x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
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(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
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(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
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(/ -2 (pow x 2))
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(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (pow x 2) 1)))
(fma.f64 x (*.f64 x (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)))
(*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (- 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 (pow x 4))) (/ 1 (pow x 2))) (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 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (- 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 (pow x 4))) (/ 1 (pow x 2))) (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 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))

rewrite325.0ms (4.6%)

Memory
-8.9MiB live, 522.1MiB allocated
Rules
5 000×lower-/.f32
4 986×lower-/.f64
4 654×lower-*.f32
4 646×lower-*.f64
3 348×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031220
048200
1213168
21983168
08800163
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 1 060
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) x)
(/.f64 #s(approx (/ (+ (- 1 x) (+ 1 x)) (+ 1 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x))
#s(approx (/ (+ (- 1 x) (+ 1 x)) (+ 1 x)) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) x)
(*.f64 (/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))
#s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64))
(fma.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 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (fma.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 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (*.f64 (fma.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 x (*.f64 x x))
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (neg.f64 (*.f64 (+.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) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x))))
(neg.f64 (/.f64 (/.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (+.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 (+.f64 #s(literal 1 binary64) x) #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)))))))
(/.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) x)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (/.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) x)) (neg.f64 (neg.f64 (+.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (neg.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x))))
(/.f64 (*.f64 (/.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (neg.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (*.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (*.f64 (neg.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (-.f64 #s(literal -1 binary64) x)))
(/.f64 (neg.f64 (/.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal -1 binary64) x))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (/.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) x)))
(neg.f64 (/.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64))))))
(/.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal -1 binary64) x))))
(/.f64 (neg.f64 (*.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)))
(*.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(*.f64 (/.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(+.f64 x #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 x #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.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 (*.f64 x (*.f64 x x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #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) (fma.f64 x x (*.f64 #s(literal 1 binary64) (neg.f64 x))))) (/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) (neg.f64 x))))))
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(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)))) (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (neg.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64))))) (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)))) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (neg.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64))))) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))))) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (*.f64 (/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))))) (*.f64 (/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (*.f64 (/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))))))) (neg.f64 (fma.f64 (/.f64 (*.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (/.f64 (*.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (-.f64 (*.f64 (/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)))) (*.f64 (/.f64 (*.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (/.f64 (*.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)))) (*.f64 (/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)))))) (neg.f64 (/.f64 (-.f64 (*.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (*.f64 x x)) #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64))) (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (neg.f64 (/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))))
(*.f64 (neg.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) (-.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (neg.f64 x))))
(*.f64 (/.f64 (*.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
(*.f64 (*.f64 x x) x)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (*.f64 x (*.f64 x x)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x x)) #s(literal -1 binary64)))
(neg.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 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))))))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log1p.f64 (*.f64 x x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(*.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 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) #s(literal -1 binary64)))

eval226.0ms (3.2%)

Memory
15.2MiB live, 329.8MiB allocated
Compiler

Compiled 43 282 to 1 893 computations (95.6% saved)

prune107.0ms (1.5%)

Memory
-1.4MiB live, 239.4MiB allocated
Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New1 47741 481
Fresh000
Picked415
Done055
Total1 481101 491
Accuracy
100.0%
Counts
1 491 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(/.f64 (/.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
62.0%
(/.f64 (*.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)))
3.8%
(/.f64 #s(approx (/ (+ (- 1 x) (+ 1 x)) (+ 1 x)) #s(literal 2 binary64)) #s(approx (- 1 x) (neg.f64 x)))
✓99.3%
(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
10.8%
(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (/.f64 #s(approx (+ (* x (* x (* x x))) -1) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x x #s(literal 1 binary64))))
10.8%
(*.f64 (/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) #s(approx (+ (* x (* x (* x x))) -1) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x x #s(literal 1 binary64)))
✓52.1%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)))
✓48.5%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
✓48.0%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
✓52.6%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
Compiler

Compiled 309 to 112 computations (63.8% saved)

regimes13.0ms (0.2%)

Memory
-19.5MiB live, 19.0MiB allocated
Counts
19 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(approx (/ (+ (- 1 x) (+ 1 x)) (+ 1 x)) #s(literal 2 binary64)) #s(approx (- 1 x) (neg.f64 x)))
(/.f64 #s(approx (/ (+ (- 1 x) (+ 1 x)) (+ 1 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64)))
(/.f64 (+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (/.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) #s(approx (+ (* x (* x (* x x))) -1) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)))
(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (/.f64 #s(approx (+ (* x (* x (* x x))) -1) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
Outputs
(/.f64 (/.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
Calls

2 calls:

7.0ms
x
5.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes7.0ms (0.1%)

Memory
10.5MiB live, 10.5MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(approx (/ (+ (- 1 x) (+ 1 x)) (+ 1 x)) #s(literal 2 binary64)) #s(approx (- 1 x) (neg.f64 x)))
(/.f64 #s(approx (/ (+ (- 1 x) (+ 1 x)) (+ 1 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64)))
(/.f64 (+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
Outputs
(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
Calls

2 calls:

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

Compiled 14 to 8 computations (42.9% saved)

regimes5.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(approx (/ (+ (- 1 x) (+ 1 x)) (+ 1 x)) #s(literal 2 binary64)) #s(approx (- 1 x) (neg.f64 x)))
(/.f64 #s(approx (/ (+ (- 1 x) (+ 1 x)) (+ 1 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)))
Calls

2 calls:

2.0ms
x
2.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
98.9%2x
98.9%2(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes4.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(approx (/ (+ (- 1 x) (+ 1 x)) (+ 1 x)) #s(literal 2 binary64)) #s(approx (- 1 x) (neg.f64 x)))
(/.f64 #s(approx (/ (+ (- 1 x) (+ 1 x)) (+ 1 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x))
Outputs
(/.f64 #s(approx (/ (+ (- 1 x) (+ 1 x)) (+ 1 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x))
Calls

2 calls:

2.0ms
x
2.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
54.3%1x
54.3%1(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes4.0ms (0.1%)

Memory
6.4MiB live, 6.4MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(approx (/ (+ (- 1 x) (+ 1 x)) (+ 1 x)) #s(literal 2 binary64)) #s(approx (- 1 x) (neg.f64 x)))
Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(approx (/ (+ (- 1 x) (+ 1 x)) (+ 1 x)) #s(literal 2 binary64)) #s(approx (- 1 x) (neg.f64 x)))
Calls

2 calls:

2.0ms
x
1.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
54.6%2(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
54.6%2x
Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes43.0ms (0.6%)

Memory
-32.9MiB live, 6.5MiB allocated
Accuracy

Total -0.4b remaining (-1.2%)

Threshold costs -0.4b (-1.2%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)))
Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
Calls

2 calls:

42.0ms
x
1.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
52.6%1(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
52.6%1x
Compiler

Compiled 14 to 8 computations (42.9% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
2.0
Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch13.0ms (0.2%)

Memory
26.5MiB live, 26.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
0.07173009606682117
6636.995340010056
Samples
7.0ms144×0valid
Compiler

Compiled 168 to 101 computations (39.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (47.6% of total)
ival-sub: 1.0ms (23.8% of total)
ival-add: 1.0ms (23.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify9.0ms (0.1%)

Memory
-23.4MiB live, 15.5MiB allocated
Algorithm
1×egg-herbie
Rules
18×+-commutative_binary64
16×sub-neg_binary64
10×neg-sub0_binary64
10×neg-mul-1_binary64
8×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046152
156152
268152
384152
491152
593152
694152
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(approx (/ (+ (- 1 x) (+ 1 x)) (+ 1 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))) (/.f64 #s(approx (/ (+ (- 1 x) (+ 1 x)) (+ 1 x)) #s(literal 2 binary64)) #s(approx (- 1 x) (neg.f64 x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
Outputs
(/.f64 (/.f64 #s(approx (+ (- 1 x) (+ 1 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(approx (/ (+ (- 1 x) (+ 1 x)) (+ 1 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))) (/.f64 #s(approx (/ (+ (- 1 x) (+ 1 x)) (+ 1 x)) #s(literal 2 binary64)) #s(approx (- 1 x) (neg.f64 x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))

soundness1.2s (16.9%)

Memory
-31.8MiB live, 520.6MiB allocated
Rules
13 932×lower-fma.f64
13 932×lower-fma.f32
13 150×lower-fma.f64
13 150×lower-fma.f32
10 646×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01151607
13221580
28191484
324651428
465611428
081631371
0531321
11671285
24381190
314381150
443491150
083001092
0771143
12141126
25431066
316071032
449511032
08129998
080405
1220395
2557373
31746352
45225352
08136343
0724
01224
16624
264424
0903922
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 175 to 94 computations (46.3% saved)

preprocess67.0ms (0.9%)

Memory
15.2MiB live, 52.9MiB allocated
Remove

(abs x)

Compiler

Compiled 186 to 80 computations (57% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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