Numeric.Log:$clog1p from log-domain-0.10.2.1, B

Time bar (total: 7.3s)

analyze1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
66.7%50%25%0%0%25%0%3
83.3%62.5%12.5%0%0%25%0%4
91.7%68.7%6.2%0%0%25%0%5
95.8%71.8%3.1%0%0%25%0%6
97.9%73.4%1.6%0%0%25%0%7
99%74.2%0.8%0%0%25%0%8
99.5%74.6%0.4%0%0%25%0%9
99.7%74.8%0.2%0%0%25%0%10
99.9%74.9%0.1%0%0%25%0%11
99.9%74.9%0%0%0%25%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample595.0ms (8.1%)

Memory
22.8MiB live, 1 014.7MiB allocated
Samples
428.0ms8 253×0valid
0.0ms2valid
0.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 240.0ms
ival-add: 106.0ms (44.1% of total)
ival-sqrt: 62.0ms (25.8% of total)
ival-div: 59.0ms (24.6% of total)
exact: 5.0ms (2.1% of total)
ival-true: 5.0ms (2.1% of total)
ival-assert: 3.0ms (1.2% of total)
adjust: 0.0ms (0% of total)
Bogosity

preprocess26.0ms (0.4%)

Memory
-3.9MiB live, 33.8MiB allocated
Algorithm
egg-herbie
Rules
116×associate-*l*
78×div-sub
76×distribute-lft-neg-in
72×associate-/l*
68×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01229
12925
25724
312524
426224
544324
663224
773324
876724
978024
1078224
068
1108
0108
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(/ x (+ 1 (sqrt (+ x 1))))
Outputs
(/ x (+ 1 (sqrt (+ x 1))))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Call 2
Inputs
(/ x (+ 1 (sqrt (+ x 1))))
(/ (neg x) (+ 1 (sqrt (+ (neg x) 1))))
(neg (/ (neg x) (+ 1 (sqrt (+ (neg x) 1)))))
Outputs
(/ x (+ 1 (sqrt (+ x 1))))
(/ (neg x) (+ 1 (sqrt (+ (neg x) 1))))
(/ x (- -1 (sqrt (- 1 x))))
(neg (/ (neg x) (+ 1 (sqrt (+ (neg x) 1)))))
(/ x (+ 1 (sqrt (- 1 x))))

explain72.0ms (1%)

Memory
24.6MiB live, 144.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
00-0-#s(literal 1 binary64)
00-0-(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
27.0ms512×0valid
Compiler

Compiled 68 to 28 computations (58.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-add: 6.0ms (40.1% of total)
ival-sqrt: 4.0ms (26.7% of total)
ival-div: 3.0ms (20% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify7.0ms (0.1%)

Memory
-30.0MiB live, 8.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
cost-diff0
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
cost-diff0
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Rules
+-lowering-+.f64
+-lowering-+.f32
+-commutative
sqrt-lowering-sqrt.f64
/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0623
11023
01023
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ x (+ 1 (sqrt (+ x 1))))
x
(+ 1 (sqrt (+ x 1)))
1
(sqrt (+ x 1))
(+ x 1)
Outputs
(/ x (+ 1 (sqrt (+ x 1))))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
x
(+ 1 (sqrt (+ x 1)))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
1
#s(literal 1 binary64)
(sqrt (+ x 1))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+ x 1)
(+.f64 x #s(literal 1 binary64))

localize25.0ms (0.3%)

Memory
6.9MiB live, 43.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x #s(literal 1 binary64))
accuracy100.0%
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
accuracy99.7%
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Samples
17.0ms256×0valid
Compiler

Compiled 25 to 8 computations (68% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-add: 3.0ms (45.5% of total)
ival-div: 2.0ms (30.3% of total)
ival-sqrt: 2.0ms (30.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
16.3MiB live, 16.3MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (/ x (+ 1 (sqrt (+ x 1))))>
#<alt (+ 1 (sqrt (+ x 1)))>
#<alt (sqrt (+ x 1))>
#<alt (+ x 1)>
Outputs
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))>
#<alt (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))>
#<alt (sqrt x)>
#<alt (- (sqrt x) 1)>
#<alt (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)>
#<alt (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))>
#<alt (* -1 (sqrt x))>
#<alt (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))>
#<alt (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))>
#<alt 2>
#<alt (+ 2 (* 1/2 x))>
#<alt (+ 2 (* x (+ 1/2 (* -1/8 x))))>
#<alt (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (/ 1 x)))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* -1/8 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 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)))>
Calls

12 calls:

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

rewrite455.0ms (6.2%)

Memory
21.8MiB live, 645.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 950×accelerator-lowering-fma.f32
3 950×accelerator-lowering-fma.f64
3 308×/-lowering-/.f32
3 308×/-lowering-/.f64
2 908×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0621
14221
231120
3339620
0827620
Stop Event
iter limit
node limit
Counts
4 → 474
Calls
Call 1
Inputs
(/ x (+ 1 (sqrt (+ x 1))))
(+ 1 (sqrt (+ x 1)))
(sqrt (+ x 1))
(+ x 1)
Outputs
(+.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(+.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(+.f64 (/.f64 x (-.f64 #s(literal 0 binary64) x)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (-.f64 #s(literal 0 binary64) x))))
(+.f64 (*.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(+.f64 (*.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (*.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(+.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(fma.f64 x (/.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (-.f64 #s(literal 0 binary64) x))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) x)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (-.f64 #s(literal 0 binary64) x))))
(fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))
(fma.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(fma.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 x (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(fma.f64 (/.f64 x (-.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 x #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (-.f64 #s(literal 0 binary64) x))))
(fma.f64 (/.f64 x (-.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)))))) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (+.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (-.f64 #s(literal 0 binary64) x))))
(fma.f64 (/.f64 x (fma.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (*.f64 x (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (-.f64 #s(literal 0 binary64) x))
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(/.f64 (fabs.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))) (fabs.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (fabs.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))) (fabs.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (fabs.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))) (fabs.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (fabs.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))) (fabs.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))))
(/.f64 (fabs.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))))) (fabs.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
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(pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 4 binary64))
(pow.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 x))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log1p.f64 x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (log1p.f64 x) #s(literal 0 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (fabs.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (fabs.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #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)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (fabs.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(*.f64 (*.f64 #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) (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 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (/.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 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.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 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))))
(*.f64 (exp.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64)))) (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (+.f64 x #s(literal -1 binary64))))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fabs.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) (fabs.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(*.f64 (fabs.f64 (fma.f64 x x #s(literal -1 binary64))) (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (fabs.f64 (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (fabs.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))))
(*.f64 (fabs.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64)))) (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (fabs.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (fabs.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (fabs.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 (fabs.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.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)))))) (fabs.f64 (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 (fabs.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x)))) (fabs.f64 (+.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
(*.f64 (fabs.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (fabs.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (fabs.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64)))

simplify599.0ms (8.2%)

Memory
-16.3MiB live, 728.7MiB allocated
Algorithm
egg-herbie
Rules
18 662×accelerator-lowering-fma.f32
18 662×accelerator-lowering-fma.f64
3 776×*-lowering-*.f32
3 776×*-lowering-*.f64
2 642×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0161600
1485505
21633483
35433474
08374430
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
(* 1/2 x)
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))
(sqrt x)
(- (sqrt x) 1)
(- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)
(- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))
(* -1 (sqrt x))
(+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))
2
(+ 2 (* 1/2 x))
(+ 2 (* x (+ 1/2 (* -1/8 x))))
(+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (/ 1 x)))
(* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 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)))
Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/8 x)))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(sqrt x)
(sqrt.f64 x)
(- (sqrt x) 1)
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
(- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)
(+.f64 (sqrt.f64 x) (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))
(+.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))))
(* -1 (sqrt x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))
(-.f64 #s(literal -1 binary64) (sqrt.f64 x))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))
(-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -1/2 binary64) x) x))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))
(-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (+.f64 (/.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) x) x) #s(literal 1 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (+ 1/2 (* -1/8 x))))
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(sqrt x)
(sqrt.f64 x)
(* x (+ (sqrt (/ 1 x)) (/ 1 x)))
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(-.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal -1/2 binary64) #s(literal 0 binary64))) x)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(sqrt x)
(sqrt.f64 x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(*.f64 x (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal -1/16 binary64) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.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))

eval83.0ms (1.1%)

Memory
-8.0MiB live, 147.5MiB allocated
Compiler

Compiled 11 241 to 2 089 computations (81.4% saved)

prune68.0ms (0.9%)

Memory
-11.8MiB live, 183.7MiB allocated
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New5139522
Fresh000
Picked011
Done000
Total51310523
Accuracy
100.0%
Counts
523 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.6%
(/.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
64.3%
(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
99.7%
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
36.7%
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
62.4%
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
63.7%
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
62.0%
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
63.9%
(*.f64 #s(literal 1/2 binary64) x)
37.6%
(sqrt.f64 x)
42.6%
(neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Compiler

Compiled 149 to 106 computations (28.9% saved)

simplify23.0ms (0.3%)

Memory
14.0MiB live, 53.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64))
cost-diff0
(fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))
cost-diff0
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
cost-diff0
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
cost-diff0
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
cost-diff0
(fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
cost-diff0
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
cost-diff0
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
cost-diff0
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
cost-diff0
(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
Rules
688×accelerator-lowering-fma.f32
688×accelerator-lowering-fma.f64
232×+-lowering-+.f64
232×+-lowering-+.f32
180×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024111
171111
2142111
3245111
4353111
5406111
6408111
040893
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ x (+ (* 1/2 x) 2))
x
(+ (* 1/2 x) 2)
1/2
2
(* 1/2 x)
1/2
x
(* x (+ (* x -1/8) 1/2))
x
(+ (* x -1/8) 1/2)
-1/8
1/2
(* x (+ (* x (+ (* x 1/16) -1/8)) 1/2))
x
(+ (* x (+ (* x 1/16) -1/8)) 1/2)
(+ (* x 1/16) -1/8)
1/16
-1/8
1/2
(* x (+ (* x (+ (* x (+ (* x -5/128) 1/16)) -1/8)) 1/2))
x
(+ (* x (+ (* x (+ (* x -5/128) 1/16)) -1/8)) 1/2)
(+ (* x (+ (* x -5/128) 1/16)) -1/8)
(+ (* x -5/128) 1/16)
-5/128
1/16
-1/8
1/2
Outputs
(/ x (+ (* 1/2 x) 2))
(/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))
x
(+ (* 1/2 x) 2)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))
1/2
#s(literal 1/2 binary64)
2
#s(literal 2 binary64)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
x
(* x (+ (* x -1/8) 1/2))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
x
(+ (* x -1/8) 1/2)
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
-1/8
#s(literal -1/8 binary64)
1/2
#s(literal 1/2 binary64)
(* x (+ (* x (+ (* x 1/16) -1/8)) 1/2))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
x
(+ (* x (+ (* x 1/16) -1/8)) 1/2)
(fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(+ (* x 1/16) -1/8)
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
1/16
#s(literal 1/16 binary64)
-1/8
#s(literal -1/8 binary64)
1/2
#s(literal 1/2 binary64)
(* x (+ (* x (+ (* x (+ (* x -5/128) 1/16)) -1/8)) 1/2))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
x
(+ (* x (+ (* x (+ (* x -5/128) 1/16)) -1/8)) 1/2)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(+ (* x (+ (* x -5/128) 1/16)) -1/8)
(fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))
(+ (* x -5/128) 1/16)
(fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64))
-5/128
#s(literal -5/128 binary64)
1/16
#s(literal 1/16 binary64)
-1/8
#s(literal -1/8 binary64)
1/2
#s(literal 1/2 binary64)

localize116.0ms (1.6%)

Memory
-2.7MiB live, 150.8MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64))
accuracy100.0%
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
accuracy99.9%
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
accuracy99.9%
(fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))
accuracy100.0%
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
accuracy100.0%
(fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
accuracy99.9%
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
accuracy100.0%
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
accuracy100.0%
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) x)
accuracy100.0%
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
accuracy100.0%
(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
Samples
56.0ms248×0valid
33.0ms2valid
1.0ms1valid
Compiler

Compiled 95 to 26 computations (72.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-mult: 33.0ms (44% of total)
adjust: 31.0ms (41.4% of total)
ival-add: 8.0ms (10.7% of total)
ival-div: 2.0ms (2.7% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
-12.1MiB live, 25.9MiB allocated
Counts
12 → 144
Calls
Call 1
Inputs
#<alt (/ x (+ (* 1/2 x) 2))>
#<alt (+ (* 1/2 x) 2)>
#<alt (* 1/2 x)>
#<alt (* x (+ (* x -1/8) 1/2))>
#<alt (+ (* x -1/8) 1/2)>
#<alt (* x (+ (* x (+ (* x 1/16) -1/8)) 1/2))>
#<alt (+ (* x (+ (* x 1/16) -1/8)) 1/2)>
#<alt (+ (* x 1/16) -1/8)>
#<alt (* x (+ (* x (+ (* x (+ (* x -5/128) 1/16)) -1/8)) 1/2))>
#<alt (+ (* x (+ (* x (+ (* x -5/128) 1/16)) -1/8)) 1/2)>
#<alt (+ (* x (+ (* x -5/128) 1/16)) -1/8)>
#<alt (+ (* x -5/128) 1/16)>
Outputs
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* x (+ 1/2 (* x (- (* 1/32 x) 1/8))))>
#<alt (* x (+ 1/2 (* x (- (* x (+ 1/32 (* -1/128 x))) 1/8))))>
#<alt 2>
#<alt (- 2 (* 8 (/ 1 x)))>
#<alt (- (+ 2 (/ 32 (pow x 2))) (* 8 (/ 1 x)))>
#<alt (- (+ 2 (/ 32 (pow x 2))) (+ (* 8 (/ 1 x)) (* 128 (/ 1 (pow x 3)))))>
#<alt 2>
#<alt (- 2 (* 8 (/ 1 x)))>
#<alt (+ 2 (* -1 (/ (- 8 (* 32 (/ 1 x))) x)))>
#<alt (+ 2 (* -1 (/ (+ 8 (* -1 (/ (- 32 (* 128 (/ 1 x))) x))) x)))>
#<alt 2>
#<alt (+ 2 (* 1/2 x))>
#<alt (+ 2 (* 1/2 x))>
#<alt (+ 2 (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 2 (/ 1 x))))>
#<alt (* x (+ 1/2 (* 2 (/ 1 x))))>
#<alt (* x (+ 1/2 (* 2 (/ 1 x))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 2 (/ 1 x))))>
#<alt (* x (+ 1/2 (* 2 (/ 1 x))))>
#<alt (* x (+ 1/2 (* 2 (/ 1 x))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/8 x))>
#<alt (+ 1/2 (* -1/8 x))>
#<alt (+ 1/2 (* -1/8 x))>
#<alt (* -1/8 x)>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* -1/8 x)>
#<alt (* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))>
#<alt (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))>
#<alt (* 1/16 (pow x 3))>
#<alt (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))>
#<alt (* 1/16 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/8 x))>
#<alt (+ 1/2 (* x (- (* 1/16 x) 1/8)))>
#<alt (+ 1/2 (* x (- (* 1/16 x) 1/8)))>
#<alt (* 1/16 (pow x 2))>
#<alt (* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))>
#<alt (* 1/16 (pow x 2))>
#<alt (* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))))>
#<alt -1/8>
#<alt (- (* 1/16 x) 1/8)>
#<alt (- (* 1/16 x) 1/8)>
#<alt (- (* 1/16 x) 1/8)>
#<alt (* 1/16 x)>
#<alt (* x (- 1/16 (* 1/8 (/ 1 x))))>
#<alt (* x (- 1/16 (* 1/8 (/ 1 x))))>
#<alt (* x (- 1/16 (* 1/8 (/ 1 x))))>
#<alt (* 1/16 x)>
#<alt (* -1 (* x (- (* 1/8 (/ 1 x)) 1/16)))>
#<alt (* -1 (* x (- (* 1/8 (/ 1 x)) 1/16)))>
#<alt (* -1 (* x (- (* 1/8 (/ 1 x)) 1/16)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))>
#<alt (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))>
#<alt (* -5/128 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/16 (/ 1 x)) 5/128))>
#<alt (* (pow x 4) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ (* 1/16 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))) (+ 5/128 (/ 1/8 (pow x 2)))))>
#<alt (* -5/128 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/16 (/ 1 x)) 5/128))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16) x)) 5/128))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/8 x))>
#<alt (+ 1/2 (* x (- (* 1/16 x) 1/8)))>
#<alt (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))>
#<alt (* -5/128 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/16 (/ 1 x)) 5/128))>
#<alt (* (pow x 3) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (* 1/16 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))) (+ 5/128 (/ 1/8 (pow x 2)))))>
#<alt (* -5/128 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 5/128 (* 1/16 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 5/128 (* -1 (/ (- 1/16 (* 1/8 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 5/128 (* -1 (/ (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))) x)))))>
#<alt -1/8>
#<alt (- (* 1/16 x) 1/8)>
#<alt (- (* x (+ 1/16 (* -5/128 x))) 1/8)>
#<alt (- (* x (+ 1/16 (* -5/128 x))) 1/8)>
#<alt (* -5/128 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))>
#<alt (* (pow x 2) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))>
#<alt (* (pow x 2) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))>
#<alt (* -5/128 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128))>
#<alt 1/16>
#<alt (+ 1/16 (* -5/128 x))>
#<alt (+ 1/16 (* -5/128 x))>
#<alt (+ 1/16 (* -5/128 x))>
#<alt (* -5/128 x)>
#<alt (* x (- (* 1/16 (/ 1 x)) 5/128))>
#<alt (* x (- (* 1/16 (/ 1 x)) 5/128))>
#<alt (* x (- (* 1/16 (/ 1 x)) 5/128))>
#<alt (* -5/128 x)>
#<alt (* -1 (* x (- 5/128 (* 1/16 (/ 1 x)))))>
#<alt (* -1 (* x (- 5/128 (* 1/16 (/ 1 x)))))>
#<alt (* -1 (* x (- 5/128 (* 1/16 (/ 1 x)))))>
Calls

36 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(* x (+ (* x (+ (* x 1/16) -1/8)) 1/2))
1.0ms
x
@inf
(/ x (+ (* 1/2 x) 2))
0.0ms
x
@-inf
(* x (+ (* x -1/8) 1/2))
0.0ms
x
@inf
(+ (* x -5/128) 1/16)
0.0ms
x
@inf
(* x (+ (* x -1/8) 1/2))

rewrite514.0ms (7%)

Memory
-0.1MiB live, 689.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 396×accelerator-lowering-fma.f32
5 396×accelerator-lowering-fma.f64
4 592×/-lowering-/.f32
4 592×/-lowering-/.f64
4 522×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02494
116694
2126894
0825976
Stop Event
iter limit
node limit
Counts
12 → 469
Calls
Call 1
Inputs
(/ x (+ (* 1/2 x) 2))
(+ (* 1/2 x) 2)
(* 1/2 x)
(* x (+ (* x -1/8) 1/2))
(+ (* x -1/8) 1/2)
(* x (+ (* x (+ (* x 1/16) -1/8)) 1/2))
(+ (* x (+ (* x 1/16) -1/8)) 1/2)
(+ (* x 1/16) -1/8)
(* x (+ (* x (+ (* x (+ (* x -5/128) 1/16)) -1/8)) 1/2))
(+ (* x (+ (* x (+ (* x -5/128) 1/16)) -1/8)) 1/2)
(+ (* x (+ (* x -5/128) 1/16)) -1/8)
(+ (* x -5/128) 1/16)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))) (/.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))))
(neg.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))))
(/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) x))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) x)))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 4 binary64) x) (*.f64 (-.f64 #s(literal 4 binary64) x) (-.f64 #s(literal 4 binary64) x))))) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (-.f64 #s(literal 4 binary64) x) (-.f64 #s(literal 4 binary64) x)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal 4 binary64) x))))))
(/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (-.f64 #s(literal 4 binary64) x) (-.f64 #s(literal 4 binary64) x)))) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal 4 binary64) x))))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -4 binary64))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -4 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -4 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (+.f64 #s(literal 4 binary64) x))))
(pow.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) x) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) x))))
(*.f64 (/.f64 x (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) x)))
(*.f64 (/.f64 x (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) x)))))
(*.f64 (/.f64 x (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -4 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal -2 binary64)))
(*.f64 (/.f64 x (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -2 binary64)))))
(*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -4 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -2 binary64)))))
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -4 binary64))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -2 binary64)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -4 binary64))) (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -2 binary64)))))
(*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) x)))))
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) x)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) x) #s(literal -1/2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -2 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -2 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -2 binary64)))))
(neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) x)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) x)) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -4 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -4 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -2 binary64))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -2 binary64))))
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(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -125/2097152 binary64) #s(literal 1/4096 binary64)) (+.f64 #s(literal 1/256 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 25/16384 binary64)) (*.f64 x #s(literal -5/2048 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/256 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 25/16384 binary64)) (*.f64 x #s(literal -5/2048 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -125/2097152 binary64) #s(literal 1/4096 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal -5/128 binary64))) (-.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 x x) #s(literal 25/16384 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 25/16384 binary64) #s(literal -1/256 binary64)) (fma.f64 x #s(literal -5/128 binary64) #s(literal -1/16 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -125/2097152 binary64) #s(literal 1/4096 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 25/16384 binary64) #s(literal 1/256 binary64)) (*.f64 x #s(literal -5/2048 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -125/2097152 binary64) #s(literal 1/4096 binary64))) (neg.f64 (+.f64 #s(literal 1/256 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 25/16384 binary64)) (*.f64 x #s(literal -5/2048 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal 25/16384 binary64) #s(literal -1/256 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -5/128 binary64) #s(literal -1/16 binary64))))
(/.f64 (-.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 x x) #s(literal 25/16384 binary64))) (-.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal -5/128 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 25/16384 binary64)) (fma.f64 x #s(literal -5/128 binary64) #s(literal -1/16 binary64))) (*.f64 (fma.f64 x #s(literal -5/128 binary64) #s(literal -1/16 binary64)) #s(literal 1/256 binary64))) (*.f64 (fma.f64 x #s(literal -5/128 binary64) #s(literal -1/16 binary64)) (fma.f64 x #s(literal -5/128 binary64) #s(literal -1/16 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -125/2097152 binary64)) (*.f64 #s(literal 15625/4398046511104 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/68719476736 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 15625/4398046511104 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/16777216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -125/8589934592 binary64)))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 25/16384 binary64) #s(literal 1/256 binary64)) (*.f64 x #s(literal -5/2048 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal 15625/4398046511104 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/16777216 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -125/2097152 binary64) #s(literal -1/4096 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 25/16384 binary64) #s(literal 1/256 binary64)) (*.f64 x #s(literal -5/2048 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal 15625/4398046511104 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/16777216 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 625/268435456 binary64) (+.f64 #s(literal 1/65536 binary64) (*.f64 (*.f64 x x) #s(literal 25/4194304 binary64)))) (fma.f64 x #s(literal -5/128 binary64) #s(literal -1/16 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 625/268435456 binary64) #s(literal -1/65536 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 25/16384 binary64) #s(literal 1/256 binary64)) (fma.f64 x #s(literal -5/128 binary64) #s(literal -1/16 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -125/2097152 binary64) #s(literal 1/4096 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 25/16384 binary64) #s(literal 1/256 binary64)) (*.f64 x #s(literal -5/2048 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal 25/16384 binary64) #s(literal -1/256 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -5/128 binary64) #s(literal -1/16 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 x x) #s(literal 25/16384 binary64)))) (neg.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal -5/128 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25/16384 binary64)) (fma.f64 x #s(literal -5/128 binary64) #s(literal -1/16 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/256 binary64) (fma.f64 x #s(literal -5/128 binary64) #s(literal -1/16 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25/16384 binary64)) (fma.f64 x #s(literal -5/128 binary64) #s(literal -1/16 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 25/16384 binary64)) (fma.f64 x #s(literal -5/128 binary64) #s(literal -1/16 binary64))) (fma.f64 (/.f64 #s(literal 1/256 binary64) (fma.f64 x #s(literal -5/128 binary64) #s(literal -1/16 binary64))) (/.f64 #s(literal 1/256 binary64) (fma.f64 x #s(literal -5/128 binary64) #s(literal -1/16 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25/16384 binary64)) (fma.f64 x #s(literal -5/128 binary64) #s(literal -1/16 binary64))) (/.f64 #s(literal 1/256 binary64) (fma.f64 x #s(literal -5/128 binary64) #s(literal -1/16 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25/16384 binary64)) (fma.f64 x #s(literal -5/128 binary64) #s(literal -1/16 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 25/16384 binary64)) (fma.f64 x #s(literal -5/128 binary64) #s(literal -1/16 binary64)))) (*.f64 (/.f64 #s(literal 1/256 binary64) (fma.f64 x #s(literal -5/128 binary64) #s(literal -1/16 binary64))) (/.f64 #s(literal 1/256 binary64) (fma.f64 x #s(literal -5/128 binary64) #s(literal -1/16 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25/16384 binary64)) (fma.f64 x #s(literal -5/128 binary64) #s(literal -1/16 binary64))) (/.f64 #s(literal 1/256 binary64) (fma.f64 x #s(literal -5/128 binary64) #s(literal -1/16 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -125/2097152 binary64) #s(literal 1/4096 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 25/16384 binary64) #s(literal 1/256 binary64)) (*.f64 x #s(literal -5/2048 binary64)))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -125/2097152 binary64) #s(literal 1/4096 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/256 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 25/16384 binary64)) (*.f64 x #s(literal -5/2048 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 25/16384 binary64) #s(literal -1/256 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -5/128 binary64) #s(literal -1/16 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -125/2097152 binary64) #s(literal 1/4096 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 25/16384 binary64) #s(literal 1/256 binary64)) (*.f64 x #s(literal -5/2048 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal 25/16384 binary64) #s(literal -1/256 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -5/128 binary64) #s(literal -1/16 binary64)))))
(*.f64 (-.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 x x) #s(literal 25/16384 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal -5/128 binary64)))))

simplify393.0ms (5.4%)

Memory
29.9MiB live, 701.5MiB allocated
Algorithm
egg-herbie
Rules
12 484×accelerator-lowering-fma.f32
12 484×accelerator-lowering-fma.f64
3 372×*-lowering-*.f32
3 372×*-lowering-*.f64
2 038×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0153952
1458940
21289924
33856912
08185792
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* 1/2 x)
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* x (- (* 1/32 x) 1/8))))
(* x (+ 1/2 (* x (- (* x (+ 1/32 (* -1/128 x))) 1/8))))
2
(- 2 (* 8 (/ 1 x)))
(- (+ 2 (/ 32 (pow x 2))) (* 8 (/ 1 x)))
(- (+ 2 (/ 32 (pow x 2))) (+ (* 8 (/ 1 x)) (* 128 (/ 1 (pow x 3)))))
2
(- 2 (* 8 (/ 1 x)))
(+ 2 (* -1 (/ (- 8 (* 32 (/ 1 x))) x)))
(+ 2 (* -1 (/ (+ 8 (* -1 (/ (- 32 (* 128 (/ 1 x))) x))) x)))
2
(+ 2 (* 1/2 x))
(+ 2 (* 1/2 x))
(+ 2 (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (* 2 (/ 1 x))))
(* x (+ 1/2 (* 2 (/ 1 x))))
(* x (+ 1/2 (* 2 (/ 1 x))))
(* 1/2 x)
(* x (+ 1/2 (* 2 (/ 1 x))))
(* x (+ 1/2 (* 2 (/ 1 x))))
(* x (+ 1/2 (* 2 (/ 1 x))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* -1/8 x)))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
1/2
(+ 1/2 (* -1/8 x))
(+ 1/2 (* -1/8 x))
(+ 1/2 (* -1/8 x))
(* -1/8 x)
(* x (- (* 1/2 (/ 1 x)) 1/8))
(* x (- (* 1/2 (/ 1 x)) 1/8))
(* x (- (* 1/2 (/ 1 x)) 1/8))
(* -1/8 x)
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))
(* 1/2 x)
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(* 1/16 (pow x 3))
(* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))
(* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(* 1/16 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))
1/2
(+ 1/2 (* -1/8 x))
(+ 1/2 (* x (- (* 1/16 x) 1/8)))
(+ 1/2 (* x (- (* 1/16 x) 1/8)))
(* 1/16 (pow x 2))
(* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))
(* (pow x 2) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(* (pow x 2) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(* 1/16 (pow x 2))
(* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))
(* (pow x 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))))
(* (pow x 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))))
-1/8
(- (* 1/16 x) 1/8)
(- (* 1/16 x) 1/8)
(- (* 1/16 x) 1/8)
(* 1/16 x)
(* x (- 1/16 (* 1/8 (/ 1 x))))
(* x (- 1/16 (* 1/8 (/ 1 x))))
(* x (- 1/16 (* 1/8 (/ 1 x))))
(* 1/16 x)
(* -1 (* x (- (* 1/8 (/ 1 x)) 1/16)))
(* -1 (* x (- (* 1/8 (/ 1 x)) 1/16)))
(* -1 (* x (- (* 1/8 (/ 1 x)) 1/16)))
(* 1/2 x)
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))
(* -5/128 (pow x 4))
(* (pow x 4) (- (* 1/16 (/ 1 x)) 5/128))
(* (pow x 4) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))
(* (pow x 4) (- (+ (* 1/16 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))) (+ 5/128 (/ 1/8 (pow x 2)))))
(* -5/128 (pow x 4))
(* (pow x 4) (- (* 1/16 (/ 1 x)) 5/128))
(* (pow x 4) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16) x)) 5/128))
1/2
(+ 1/2 (* -1/8 x))
(+ 1/2 (* x (- (* 1/16 x) 1/8)))
(+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))
(* -5/128 (pow x 3))
(* (pow x 3) (- (* 1/16 (/ 1 x)) 5/128))
(* (pow x 3) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))
(* (pow x 3) (- (+ (* 1/16 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))) (+ 5/128 (/ 1/8 (pow x 2)))))
(* -5/128 (pow x 3))
(* -1 (* (pow x 3) (- 5/128 (* 1/16 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 5/128 (* -1 (/ (- 1/16 (* 1/8 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 5/128 (* -1 (/ (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))) x)))))
-1/8
(- (* 1/16 x) 1/8)
(- (* x (+ 1/16 (* -5/128 x))) 1/8)
(- (* x (+ 1/16 (* -5/128 x))) 1/8)
(* -5/128 (pow x 2))
(* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))
(* (pow x 2) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))
(* (pow x 2) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))
(* -5/128 (pow x 2))
(* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))
(* (pow x 2) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128))
(* (pow x 2) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128))
1/16
(+ 1/16 (* -5/128 x))
(+ 1/16 (* -5/128 x))
(+ 1/16 (* -5/128 x))
(* -5/128 x)
(* x (- (* 1/16 (/ 1 x)) 5/128))
(* x (- (* 1/16 (/ 1 x)) 5/128))
(* x (- (* 1/16 (/ 1 x)) 5/128))
(* -5/128 x)
(* -1 (* x (- 5/128 (* 1/16 (/ 1 x)))))
(* -1 (* x (- 5/128 (* 1/16 (/ 1 x)))))
(* -1 (* x (- 5/128 (* 1/16 (/ 1 x)))))
Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/8 x)))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (- (* 1/32 x) 1/8))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (- (* x (+ 1/32 (* -1/128 x))) 1/8))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/128 binary64) #s(literal 1/32 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
2
#s(literal 2 binary64)
(- 2 (* 8 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -8 binary64) x))
(- (+ 2 (/ 32 (pow x 2))) (* 8 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 32 binary64) x) #s(literal -8 binary64)) x))
(- (+ 2 (/ 32 (pow x 2))) (+ (* 8 (/ 1 x)) (* 128 (/ 1 (pow x 3)))))
(-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 8 binary64) (/.f64 (+.f64 #s(literal 32 binary64) (/.f64 #s(literal -128 binary64) x)) x)) x))
2
#s(literal 2 binary64)
(- 2 (* 8 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -8 binary64) x))
(+ 2 (* -1 (/ (- 8 (* 32 (/ 1 x))) x)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 32 binary64) x) #s(literal -8 binary64)) x))
(+ 2 (* -1 (/ (+ 8 (* -1 (/ (- 32 (* 128 (/ 1 x))) x))) x)))
(-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 8 binary64) (/.f64 (+.f64 #s(literal 32 binary64) (/.f64 #s(literal -128 binary64) x)) x)) x))
2
#s(literal 2 binary64)
(+ 2 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(+ 2 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(+ 2 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(* x (+ 1/2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(* x (+ 1/2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(* x (+ 1/2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(* x (+ 1/2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/8 x)))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* -1/8 x)))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* -1/8 x)))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(* -1/8 (pow x 2))
(*.f64 #s(literal -1/8 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(* -1/8 (pow x 2))
(*.f64 #s(literal -1/8 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/8 x))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/8 x))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/8 x))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* x (- (* 1/2 (/ 1 x)) 1/8))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(* x (- (* 1/2 (/ 1 x)) 1/8))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(* x (- (* 1/2 (/ 1 x)) 1/8))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/8 x)))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(* 1/16 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16 binary64))
(* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))
(fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 0 binary64))
(* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(* 1/16 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16 binary64))
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))
(fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 0 binary64))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/8 x))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* 1/16 x) 1/8)))
(fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* 1/16 x) 1/8)))
(fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(* 1/16 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/16 binary64))
(* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)))
(* (pow x 2) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(* 1/16 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/16 binary64))
(* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)))
(* (pow x 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
-1/8
#s(literal -1/8 binary64)
(- (* 1/16 x) 1/8)
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(- (* 1/16 x) 1/8)
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(- (* 1/16 x) 1/8)
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(* 1/16 x)
(*.f64 x #s(literal 1/16 binary64))
(* x (- 1/16 (* 1/8 (/ 1 x))))
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(* x (- 1/16 (* 1/8 (/ 1 x))))
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(* x (- 1/16 (* 1/8 (/ 1 x))))
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(* 1/16 x)
(*.f64 x #s(literal 1/16 binary64))
(* -1 (* x (- (* 1/8 (/ 1 x)) 1/16)))
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(* -1 (* x (- (* 1/8 (/ 1 x)) 1/16)))
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(* -1 (* x (- (* 1/8 (/ 1 x)) 1/16)))
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/8 x)))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(* -5/128 (pow x 4))
(*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/16 (/ 1 x)) 5/128))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -5/128 binary64) (/.f64 #s(literal 1/16 binary64) x)))
(* (pow x 4) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -5/128 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))
(* (pow x 4) (- (+ (* 1/16 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))) (+ 5/128 (/ 1/8 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -5/128 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) #s(literal -1/16 binary64)) x)))
(* -5/128 (pow x 4))
(*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/16 (/ 1 x)) 5/128))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -5/128 binary64) (/.f64 #s(literal 1/16 binary64) x)))
(* (pow x 4) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -5/128 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16) x)) 5/128))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -5/128 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) #s(literal -1/16 binary64)) x)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/8 x))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* 1/16 x) 1/8)))
(fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(* -5/128 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -5/128 binary64)))
(* (pow x 3) (- (* 1/16 (/ 1 x)) 5/128))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal 0 binary64))
(* (pow x 3) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 0 binary64))
(* (pow x 3) (- (+ (* 1/16 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))) (+ 5/128 (/ 1/8 (pow x 2)))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(* -5/128 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -5/128 binary64)))
(* -1 (* (pow x 3) (- 5/128 (* 1/16 (/ 1 x)))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 3) (+ 5/128 (* -1 (/ (- 1/16 (* 1/8 (/ 1 x))) x)))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 3) (+ 5/128 (* -1 (/ (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))) x)))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
-1/8
#s(literal -1/8 binary64)
(- (* 1/16 x) 1/8)
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(- (* x (+ 1/16 (* -5/128 x))) 1/8)
(fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))
(- (* x (+ 1/16 (* -5/128 x))) 1/8)
(fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))
(* -5/128 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -5/128 binary64))
(* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))
(*.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)))
(* (pow x 2) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))
(* (pow x 2) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))
(* -5/128 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -5/128 binary64))
(* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))
(*.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)))
(* (pow x 2) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128))
(fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))
(* (pow x 2) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128))
(fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* -5/128 x))
(fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64))
(+ 1/16 (* -5/128 x))
(fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64))
(+ 1/16 (* -5/128 x))
(fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64))
(* -5/128 x)
(*.f64 x #s(literal -5/128 binary64))
(* x (- (* 1/16 (/ 1 x)) 5/128))
(fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64))
(* x (- (* 1/16 (/ 1 x)) 5/128))
(fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64))
(* x (- (* 1/16 (/ 1 x)) 5/128))
(fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64))
(* -5/128 x)
(*.f64 x #s(literal -5/128 binary64))
(* -1 (* x (- 5/128 (* 1/16 (/ 1 x)))))
(fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64))
(* -1 (* x (- 5/128 (* 1/16 (/ 1 x)))))
(fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64))
(* -1 (* x (- 5/128 (* 1/16 (/ 1 x)))))
(fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64))

eval139.0ms (1.9%)

Memory
-6.2MiB live, 185.5MiB allocated
Compiler

Compiled 16 078 to 1 831 computations (88.6% saved)

prune66.0ms (0.9%)

Memory
-5.3MiB live, 194.4MiB allocated
Pruning

12 alts after pruning (7 fresh and 5 done)

PrunedKeptTotal
New6094613
Fresh134
Picked145
Done011
Total61112623
Accuracy
100.0%
Counts
623 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.4%
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)))
62.0%
(fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 x #s(literal 1/2 binary64)))
99.7%
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
36.7%
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
63.7%
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
62.4%
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
63.7%
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
62.0%
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
63.9%
(*.f64 #s(literal 1/2 binary64) x)
37.6%
(sqrt.f64 x)
42.6%
(neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
4.9%
#s(literal 2 binary64)
Compiler

Compiled 151 to 106 computations (29.8% saved)

simplify8.0ms (0.1%)

Memory
22.0MiB live, 22.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 1/2 binary64))
cost-diff0
(*.f64 x x)
cost-diff320
(fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 x #s(literal 1/2 binary64)))
cost-diff0
(sqrt.f64 x)
cost-diff0
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
cost-diff0
(sqrt.f64 x)
cost-diff0
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
cost-diff320
(fma.f64 (*.f64 x x) #s(literal 1/16 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
Rules
132×accelerator-lowering-fma.f32
132×accelerator-lowering-fma.f64
70×*-lowering-*.f32
70×*-lowering-*.f64
56×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01766
13760
26660
39460
49560
09554
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* x (+ (* (* x x) 1/16) (+ (* x -1/8) 1/2)))
x
(+ (* (* x x) 1/16) (+ (* x -1/8) 1/2))
(* x x)
1/16
(+ (* x -1/8) 1/2)
-1/8
1/2
2
(sqrt x)
x
(+ (sqrt x) -1)
(sqrt x)
x
-1
(+ (* (* x x) -1/8) (* x 1/2))
(* x x)
x
-1/8
(* x 1/2)
1/2
Outputs
(* x (+ (* (* x x) 1/16) (+ (* x -1/8) 1/2)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
x
(+ (* (* x x) 1/16) (+ (* x -1/8) 1/2))
(fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(* x x)
(*.f64 x x)
1/16
#s(literal 1/16 binary64)
(+ (* x -1/8) 1/2)
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
-1/8
#s(literal -1/8 binary64)
1/2
#s(literal 1/2 binary64)
2
#s(literal 2 binary64)
(sqrt x)
(sqrt.f64 x)
x
(+ (sqrt x) -1)
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
(sqrt x)
(sqrt.f64 x)
x
-1
#s(literal -1 binary64)
(+ (* (* x x) -1/8) (* x 1/2))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(* x x)
(*.f64 x x)
x
-1/8
#s(literal -1/8 binary64)
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)

localize50.0ms (0.7%)

Memory
-9.1MiB live, 105.1MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
accuracy100.0%
(fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 x #s(literal 1/2 binary64)))
accuracy100.0%
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
accuracy100.0%
(sqrt.f64 x)
accuracy100.0%
(sqrt.f64 x)
accuracy100.0%
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(fma.f64 (*.f64 x x) #s(literal 1/16 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
accuracy99.9%
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
Samples
19.0ms168×0valid
10.0ms88×0invalid
Compiler

Compiled 62 to 19 computations (69.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 9.0ms (51.1% of total)
ival-add: 6.0ms (34.1% of total)
ival-sqrt: 2.0ms (11.4% of total)
exact: 1.0ms (5.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory
6.1MiB live, 6.1MiB allocated
Counts
8 → 96
Calls
Call 1
Inputs
#<alt (+ (* (* x x) 1/16) (+ (* x -1/8) 1/2))>
#<alt (* x (+ (* (* x x) 1/16) (+ (* x -1/8) 1/2)))>
#<alt (* x x)>
#<alt (+ (* x -1/8) 1/2)>
#<alt (sqrt x)>
#<alt (+ (sqrt x) -1)>
#<alt (+ (* (* x x) -1/8) (* x 1/2))>
#<alt (* x 1/2)>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* -1/8 x))>
#<alt (+ 1/2 (* x (- (* 1/16 x) 1/8)))>
#<alt (+ 1/2 (* x (- (* 1/16 x) 1/8)))>
#<alt (* 1/16 (pow x 2))>
#<alt (* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))>
#<alt (* 1/16 (pow x 2))>
#<alt (* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))>
#<alt (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))>
#<alt (* 1/16 (pow x 3))>
#<alt (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))>
#<alt (* 1/16 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))>
#<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 1/2>
#<alt (+ 1/2 (* -1/8 x))>
#<alt (+ 1/2 (* -1/8 x))>
#<alt (+ 1/2 (* -1/8 x))>
#<alt (* -1/8 x)>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* -1/8 x)>
#<alt (* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (- (sqrt x) 1)>
#<alt (- (sqrt x) 1)>
#<alt (- (sqrt x) 1)>
#<alt (- (sqrt x) 1)>
#<alt (sqrt x)>
#<alt (* x (- (sqrt (/ 1 x)) (/ 1 x)))>
#<alt (* x (- (sqrt (/ 1 x)) (/ 1 x)))>
#<alt (* x (- (sqrt (/ 1 x)) (/ 1 x)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))>
#<alt (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))>
#<alt (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
Calls

24 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(sqrt x)
0.0ms
x
@0
(* x x)
0.0ms
x
@0
(sqrt x)
0.0ms
x
@inf
(* x x)
0.0ms
x
@0
(+ (* (* x x) -1/8) (* x 1/2))

rewrite547.0ms (7.5%)

Memory
-27.7MiB live, 907.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
12 060×accelerator-lowering-fma.f32
12 060×accelerator-lowering-fma.f64
6 346×*-lowering-*.f32
6 346×*-lowering-*.f64
3 420×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01650
19144
275744
0832838
Stop Event
iter limit
node limit
Counts
8 → 416
Calls
Call 1
Inputs
(+ (* (* x x) 1/16) (+ (* x -1/8) 1/2))
(* x (+ (* (* x x) 1/16) (+ (* x -1/8) 1/2)))
(* x x)
(+ (* x -1/8) 1/2)
(sqrt x)
(+ (sqrt x) -1)
(+ (* (* x x) -1/8) (* x 1/2))
(* x 1/2)
Outputs
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(+.f64 (*.f64 x #s(literal -1/8 binary64)) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 x #s(literal -1/8 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))))
(+.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))
(+.f64 (*.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 1/2 binary64))
(+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/256 binary64))) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal -1/2 binary64))) (neg.f64 (/.f64 (*.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))))
(+.f64 (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/2 binary64)) (*.f64 x #s(literal -1/8 binary64)))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (*.f64 x #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/256 binary64))) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal -1/2 binary64))) (/.f64 (*.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal -1/2 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/64 binary64)) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))
(-.f64 (/.f64 (*.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (+.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/256 binary64))) (+.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) (*.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64))))
(-.f64 (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/64 binary64)) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))))
(fma.f64 x #s(literal -1/8 binary64) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/8 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))
(fma.f64 x (*.f64 x #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(fma.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/16 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/8 binary64) x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/8 binary64) x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 1/16 binary64))) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal -1/8 binary64)) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/256 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal -1/2 binary64))) (neg.f64 (/.f64 (*.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/16 binary64) (*.f64 (*.f64 x x) #s(literal 1/64 binary64))))) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))
(fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/64 binary64)) #s(literal -1/16 binary64))))) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/16 binary64) (*.f64 (*.f64 x x) #s(literal 1/64 binary64)))))) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4096 binary64) #s(literal -1/512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/256 binary64))) (*.f64 (*.f64 x #s(literal -1/8 binary64)) (-.f64 (*.f64 x #s(literal -1/8 binary64)) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x #s(literal 1/16 binary64)) x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))
(fma.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/16 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))
(neg.f64 (/.f64 (fma.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4096 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (+.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/256 binary64)))))))
(neg.f64 (/.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4096 binary64))))) (fma.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (+.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/256 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal -1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4096 binary64)))) (fma.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (+.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/256 binary64)))))
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(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64) #s(literal 1/8 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal 1/4 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64) #s(literal 1/8 binary64))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) (*.f64 x (-.f64 (*.f64 x #s(literal 1/64 binary64)) #s(literal -1/16 binary64))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/64 binary64))))))
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(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) (*.f64 x (-.f64 (*.f64 x #s(literal 1/64 binary64)) #s(literal -1/16 binary64)))))))
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(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/64 binary64)))) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))))
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(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal 1/4 binary64))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal -1/4 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal 1/4 binary64))) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64) #s(literal 1/8 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal 1/4 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal -1/4 binary64))))) (neg.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/64 binary64))))) (neg.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64))))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64) #s(literal 1/8 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/16 binary64) (*.f64 (*.f64 x x) #s(literal 1/64 binary64))))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal -1/4 binary64)))) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64) #s(literal 1/8 binary64)) x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/16 binary64) (*.f64 (*.f64 x x) #s(literal 1/64 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal -1/4 binary64)) x)) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/64 binary64)))) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/64 binary64)))) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/64 binary64)))) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/64 binary64)))) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/64 binary64)))) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/64 binary64)))) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))))) (+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/64 binary64)))) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) x)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64) #s(literal 1/8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/16 binary64) (*.f64 (*.f64 x x) #s(literal 1/64 binary64))))) x))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal 1/4 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) (*.f64 x (-.f64 (*.f64 x #s(literal 1/64 binary64)) #s(literal -1/16 binary64)))))))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal 1/4 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))) (*.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal 1/4 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))))))
(*.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal -1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))) x))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal 1/4 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/64 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64))))))
(*.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/16 binary64) (*.f64 (*.f64 x x) #s(literal 1/64 binary64))))))
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64) #s(literal 1/8 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/16 binary64) (*.f64 (*.f64 x x) #s(literal 1/64 binary64))))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) x) (/.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))))
(*.f64 (*.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x))

simplify252.0ms (3.4%)

Memory
14.6MiB live, 495.5MiB allocated
Algorithm
egg-herbie
Rules
6 840×accelerator-lowering-fma.f32
6 840×accelerator-lowering-fma.f64
2 342×*-lowering-*.f32
2 342×*-lowering-*.f64
1 164×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065496
1182496
2520484
31414480
43331480
55779480
67752480
08110426
Stop Event
iter limit
node limit
Counts
96 → 96
Calls
Call 1
Inputs
1/2
(+ 1/2 (* -1/8 x))
(+ 1/2 (* x (- (* 1/16 x) 1/8)))
(+ 1/2 (* x (- (* 1/16 x) 1/8)))
(* 1/16 (pow x 2))
(* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))
(* (pow x 2) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(* (pow x 2) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(* 1/16 (pow x 2))
(* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))
(* (pow x 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))))
(* (pow x 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))))
(* 1/2 x)
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(* 1/16 (pow x 3))
(* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))
(* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(* 1/16 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1/2
(+ 1/2 (* -1/8 x))
(+ 1/2 (* -1/8 x))
(+ 1/2 (* -1/8 x))
(* -1/8 x)
(* x (- (* 1/2 (/ 1 x)) 1/8))
(* x (- (* 1/2 (/ 1 x)) 1/8))
(* x (- (* 1/2 (/ 1 x)) 1/8))
(* -1/8 x)
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(- (sqrt x) 1)
(- (sqrt x) 1)
(- (sqrt x) 1)
(- (sqrt x) 1)
(sqrt x)
(* x (- (sqrt (/ 1 x)) (/ 1 x)))
(* x (- (sqrt (/ 1 x)) (/ 1 x)))
(* x (- (sqrt (/ 1 x)) (/ 1 x)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(* 1/2 x)
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* -1/8 x)))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/8 x))
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* 1/16 x) 1/8)))
(fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* 1/16 x) 1/8)))
(fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(* 1/16 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(* 1/16 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* x (+ 1/2 (* -1/8 x)))
(fma.f64 x (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) #s(literal 0 binary64))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(* 1/16 (pow x 3))
(fma.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal 0 binary64)) (*.f64 x x) #s(literal 0 binary64))
(* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))
(fma.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 0 binary64))
(* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(* 1/16 (pow x 3))
(fma.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal 0 binary64)) (*.f64 x x) #s(literal 0 binary64))
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))
(fma.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 0 binary64))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/8 x))
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
(+ 1/2 (* -1/8 x))
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
(+ 1/2 (* -1/8 x))
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
(* -1/8 x)
(fma.f64 #s(literal -1/8 binary64) x #s(literal 0 binary64))
(* x (- (* 1/2 (/ 1 x)) 1/8))
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
(* x (- (* 1/2 (/ 1 x)) 1/8))
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
(* x (- (* 1/2 (/ 1 x)) 1/8))
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
(* -1/8 x)
(fma.f64 #s(literal -1/8 binary64) x #s(literal 0 binary64))
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(- (sqrt x) 1)
(+.f64 #s(literal -1 binary64) (sqrt.f64 x))
(- (sqrt x) 1)
(+.f64 #s(literal -1 binary64) (sqrt.f64 x))
(- (sqrt x) 1)
(+.f64 #s(literal -1 binary64) (sqrt.f64 x))
(- (sqrt x) 1)
(+.f64 #s(literal -1 binary64) (sqrt.f64 x))
(sqrt x)
(sqrt.f64 x)
(* x (- (sqrt (/ 1 x)) (/ 1 x)))
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(* x (- (sqrt (/ 1 x)) (/ 1 x)))
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(* x (- (sqrt (/ 1 x)) (/ 1 x)))
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* x (+ 1/2 (* -1/8 x)))
(fma.f64 x (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) #s(literal 0 binary64))
(* x (+ 1/2 (* -1/8 x)))
(fma.f64 x (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) #s(literal 0 binary64))
(* x (+ 1/2 (* -1/8 x)))
(fma.f64 x (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) #s(literal 0 binary64))
(* -1/8 (pow x 2))
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 0 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(fma.f64 x (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(fma.f64 x (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(fma.f64 x (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) #s(literal 0 binary64))
(* -1/8 (pow x 2))
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 0 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(fma.f64 x (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(fma.f64 x (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(fma.f64 x (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))

eval92.0ms (1.3%)

Memory
-13.0MiB live, 139.2MiB allocated
Compiler

Compiled 11 632 to 1 190 computations (89.8% saved)

prune87.0ms (1.2%)

Memory
6.9MiB live, 129.1MiB allocated
Pruning

12 alts after pruning (2 fresh and 10 done)

PrunedKeptTotal
New5540554
Fresh022
Picked055
Done055
Total55412566
Accuracy
100.0%
Counts
566 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.4%
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)))
62.0%
(fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 x #s(literal 1/2 binary64)))
99.7%
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
36.7%
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
63.7%
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
62.4%
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
63.7%
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
62.0%
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
63.9%
(*.f64 #s(literal 1/2 binary64) x)
37.6%
(sqrt.f64 x)
42.6%
(neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
4.9%
#s(literal 2 binary64)
Compiler

Compiled 97 to 68 computations (29.9% saved)

simplify27.0ms (0.4%)

Memory
10.1MiB live, 47.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64))
cost-diff0
(fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))
cost-diff320
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)))
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
cost-diff0
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
cost-diff128
(neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Rules
732×accelerator-lowering-fma.f32
732×accelerator-lowering-fma.f64
256×+-lowering-+.f64
256×+-lowering-+.f32
212×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01864
14161
28961
318161
444461
556061
659261
059255
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(neg (- 1 (sqrt (+ x 1))))
(- 1 (sqrt (+ x 1)))
1
(sqrt (+ x 1))
(+ x 1)
x
(+ (* (+ (* x (+ (* x -5/128) 1/16)) -1/8) (* x x)) (* x 1/2))
(+ (* x (+ (* x -5/128) 1/16)) -1/8)
x
(+ (* x -5/128) 1/16)
-5/128
1/16
-1/8
(* x x)
(* x 1/2)
1/2
Outputs
(neg (- 1 (sqrt (+ x 1))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(- 1 (sqrt (+ x 1)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
1
#s(literal 1 binary64)
(sqrt (+ x 1))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+ x 1)
(+.f64 #s(literal 1 binary64) x)
x
(+ (* (+ (* x (+ (* x -5/128) 1/16)) -1/8) (* x x)) (* x 1/2))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(+ (* x (+ (* x -5/128) 1/16)) -1/8)
(fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))
x
(+ (* x -5/128) 1/16)
(fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64))
-5/128
#s(literal -5/128 binary64)
1/16
#s(literal 1/16 binary64)
-1/8
#s(literal -1/8 binary64)
(* x x)
(*.f64 x x)
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)

localize81.0ms (1.1%)

Memory
26.4MiB live, 177.9MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
accuracy99.9%
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)))
accuracy99.9%
(fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))
accuracy100.0%
(+.f64 x #s(literal 1 binary64))
accuracy100.0%
(neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
accuracy100.0%
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
accuracy42.6%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
Samples
23.0ms101×1valid
20.0ms92×0valid
17.0ms63×2valid
Compiler

Compiled 60 to 20 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-add: 15.0ms (36.1% of total)
ival-mult: 12.0ms (28.9% of total)
adjust: 5.0ms (12% of total)
ival-sqrt: 4.0ms (9.6% of total)
ival-neg: 2.0ms (4.8% of total)
ival-sub: 2.0ms (4.8% of total)
exact: 1.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
-29.7MiB live, 8.4MiB allocated
Counts
9 → 108
Calls
Call 1
Inputs
#<alt (neg (- 1 (sqrt (+ x 1))))>
#<alt (- 1 (sqrt (+ x 1)))>
#<alt (sqrt (+ x 1))>
#<alt (+ x 1)>
#<alt (+ (* (+ (* x (+ (* x -5/128) 1/16)) -1/8) (* x x)) (* x 1/2))>
#<alt (+ (* x (+ (* x -5/128) 1/16)) -1/8)>
#<alt (+ (* x -5/128) 1/16)>
#<alt (* x x)>
#<alt (* x 1/2)>
Outputs
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))>
#<alt (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))>
#<alt (sqrt x)>
#<alt (* x (- (sqrt (/ 1 x)) (/ 1 x)))>
#<alt (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (/ 1 x)))>
#<alt (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (/ 1 x)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (* -1/2 (sqrt (/ 1 x))) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1/2 x)>
#<alt (* x (- (* 1/8 x) 1/2))>
#<alt (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2))>
#<alt (* x (- (* x (+ 1/8 (* x (- (* 5/128 x) 1/16)))) 1/2))>
#<alt (* -1 (sqrt x))>
#<alt (* x (- (/ 1 x) (sqrt (/ 1 x))))>
#<alt (* x (- (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)) (sqrt (/ 1 x))))>
#<alt (* x (- (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (/ 1 x)) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))>
#<alt (* (sqrt x) (pow (sqrt -1) 2))>
#<alt (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* -1/8 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 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 (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))>
#<alt (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))>
#<alt (* -5/128 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/16 (/ 1 x)) 5/128))>
#<alt (* (pow x 4) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ (* 1/16 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))) (+ 5/128 (/ 1/8 (pow x 2)))))>
#<alt (* -5/128 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/16 (/ 1 x)) 5/128))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16) x)) 5/128))>
#<alt -1/8>
#<alt (- (* 1/16 x) 1/8)>
#<alt (- (* x (+ 1/16 (* -5/128 x))) 1/8)>
#<alt (- (* x (+ 1/16 (* -5/128 x))) 1/8)>
#<alt (* -5/128 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))>
#<alt (* (pow x 2) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))>
#<alt (* (pow x 2) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))>
#<alt (* -5/128 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128))>
#<alt 1/16>
#<alt (+ 1/16 (* -5/128 x))>
#<alt (+ 1/16 (* -5/128 x))>
#<alt (+ 1/16 (* -5/128 x))>
#<alt (* -5/128 x)>
#<alt (* x (- (* 1/16 (/ 1 x)) 5/128))>
#<alt (* x (- (* 1/16 (/ 1 x)) 5/128))>
#<alt (* x (- (* 1/16 (/ 1 x)) 5/128))>
#<alt (* -5/128 x)>
#<alt (* -1 (* x (- 5/128 (* 1/16 (/ 1 x)))))>
#<alt (* -1 (* x (- 5/128 (* 1/16 (/ 1 x)))))>
#<alt (* -1 (* x (- 5/128 (* 1/16 (/ 1 x)))))>
#<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 (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
Calls

27 calls:

TimeVariablePointExpression
2.0ms
x
@0
(- 1 (sqrt (+ x 1)))
0.0ms
x
@-inf
(- 1 (sqrt (+ x 1)))
0.0ms
x
@inf
(- 1 (sqrt (+ x 1)))
0.0ms
x
@inf
(+ (* (+ (* x (+ (* x -5/128) 1/16)) -1/8) (* x x)) (* x 1/2))
0.0ms
x
@inf
(neg (- 1 (sqrt (+ x 1))))

rewrite513.0ms (7%)

Memory
-18.4MiB live, 881.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
9 646×accelerator-lowering-fma.f32
9 646×accelerator-lowering-fma.f64
6 156×*-lowering-*.f32
6 156×*-lowering-*.f64
3 558×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01857
110654
285954
0882347
Stop Event
iter limit
node limit
Counts
9 → 437
Calls
Call 1
Inputs
(neg (- 1 (sqrt (+ x 1))))
(- 1 (sqrt (+ x 1)))
(sqrt (+ x 1))
(+ x 1)
(+ (* (+ (* x (+ (* x -5/128) 1/16)) -1/8) (* x x)) (* x 1/2))
(+ (* x (+ (* x -5/128) 1/16)) -1/8)
(+ (* x -5/128) 1/16)
(* x x)
(* x 1/2)
Outputs
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 2 binary64) x)))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 2 binary64) x))))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 2 binary64) x)))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 2 binary64) x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (fma.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal -1 binary64))
(expm1.f64 (fma.f64 #s(literal 1/2 binary64) (log1p.f64 x) #s(literal 0 binary64)))
(neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 0 binary64) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 2 binary64) x)))))
(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))) (fma.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))) (-.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 2 binary64) x))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (*.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 2 binary64) x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 2 binary64) x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
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simplify758.0ms (10.3%)

Memory
35.6MiB live, 781.1MiB allocated
Algorithm
egg-herbie
Rules
17 698×accelerator-lowering-fma.f32
17 698×accelerator-lowering-fma.f64
3 574×*-lowering-*.f32
3 574×*-lowering-*.f64
3 342×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0193959
1548892
21630845
34960833
08433762
Stop Event
iter limit
node limit
Counts
108 → 108
Calls
Call 1
Inputs
(* 1/2 x)
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))
(sqrt x)
(* x (- (sqrt (/ 1 x)) (/ 1 x)))
(* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (/ 1 x)))
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (/ 1 x)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(* -1 (* x (+ (* -1 (/ (- (* -1/2 (sqrt (/ 1 x))) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1/2 x)
(* x (- (* 1/8 x) 1/2))
(* x (- (* x (+ 1/8 (* -1/16 x))) 1/2))
(* x (- (* x (+ 1/8 (* x (- (* 5/128 x) 1/16)))) 1/2))
(* -1 (sqrt x))
(* x (- (/ 1 x) (sqrt (/ 1 x))))
(* x (- (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)) (sqrt (/ 1 x))))
(* x (- (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (/ 1 x)) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* (sqrt x) (pow (sqrt -1) 2))
(* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))
(* -1 (* x (- (* -1 (/ (+ 1 (* 1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 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)))
(* 1/2 x)
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))
(* -5/128 (pow x 4))
(* (pow x 4) (- (* 1/16 (/ 1 x)) 5/128))
(* (pow x 4) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))
(* (pow x 4) (- (+ (* 1/16 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))) (+ 5/128 (/ 1/8 (pow x 2)))))
(* -5/128 (pow x 4))
(* (pow x 4) (- (* 1/16 (/ 1 x)) 5/128))
(* (pow x 4) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16) x)) 5/128))
-1/8
(- (* 1/16 x) 1/8)
(- (* x (+ 1/16 (* -5/128 x))) 1/8)
(- (* x (+ 1/16 (* -5/128 x))) 1/8)
(* -5/128 (pow x 2))
(* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))
(* (pow x 2) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))
(* (pow x 2) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))
(* -5/128 (pow x 2))
(* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))
(* (pow x 2) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128))
(* (pow x 2) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128))
1/16
(+ 1/16 (* -5/128 x))
(+ 1/16 (* -5/128 x))
(+ 1/16 (* -5/128 x))
(* -5/128 x)
(* x (- (* 1/16 (/ 1 x)) 5/128))
(* x (- (* 1/16 (/ 1 x)) 5/128))
(* x (- (* 1/16 (/ 1 x)) 5/128))
(* -5/128 x)
(* -1 (* x (- 5/128 (* 1/16 (/ 1 x)))))
(* -1 (* x (- 5/128 (* 1/16 (/ 1 x)))))
(* -1 (* x (- 5/128 (* 1/16 (/ 1 x)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/8 x)))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(sqrt x)
(sqrt.f64 x)
(* x (- (sqrt (/ 1 x)) (/ 1 x)))
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (/ 1 x)))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (/ 1 x)))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(* -1 (* x (+ (* -1 (/ (- (* -1/2 (sqrt (/ 1 x))) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) #s(literal -1 binary64)))
(* -1 (* x (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(+.f64 (fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64))) x))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* 1/8 x) 1/2))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)))
(* x (- (* x (+ 1/8 (* -1/16 x))) 1/2))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/2 binary64)))
(* x (- (* x (+ 1/8 (* x (- (* 5/128 x) 1/16)))) 1/2))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 5/128 binary64) #s(literal -1/16 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64)))
(* -1 (sqrt x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(* x (- (/ 1 x) (sqrt (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(* x (- (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)) (sqrt (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(* x (- (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (/ 1 x)) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/2 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* (sqrt x) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (+ 1 (* 1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (* x (- (* -1 (/ (+ 1 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(sqrt x)
(sqrt.f64 x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/2 binary64) (sqrt.f64 (/.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))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/8 x)))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(* -5/128 (pow x 4))
(*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/16 (/ 1 x)) 5/128))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -5/128 binary64) (/.f64 #s(literal 1/16 binary64) x)))
(* (pow x 4) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -5/128 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)))
(* (pow x 4) (- (+ (* 1/16 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))) (+ 5/128 (/ 1/8 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -5/128 binary64) (/.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) x)))
(* -5/128 (pow x 4))
(*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/16 (/ 1 x)) 5/128))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -5/128 binary64) (/.f64 #s(literal 1/16 binary64) x)))
(* (pow x 4) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -5/128 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16) x)) 5/128))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -5/128 binary64) (/.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) x)))
-1/8
#s(literal -1/8 binary64)
(- (* 1/16 x) 1/8)
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(- (* x (+ 1/16 (* -5/128 x))) 1/8)
(fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))
(- (* x (+ 1/16 (* -5/128 x))) 1/8)
(fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))
(* -5/128 (pow x 2))
(*.f64 #s(literal -5/128 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))
(*.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)))
(* (pow x 2) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))
(*.f64 x (fma.f64 x (-.f64 #s(literal -5/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) #s(literal 1/16 binary64)))
(* (pow x 2) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))
(*.f64 x (fma.f64 x (-.f64 #s(literal -5/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) #s(literal 1/16 binary64)))
(* -5/128 (pow x 2))
(*.f64 #s(literal -5/128 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))
(*.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)))
(* (pow x 2) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128))
(*.f64 x (fma.f64 x (-.f64 #s(literal -5/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) #s(literal 1/16 binary64)))
(* (pow x 2) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128))
(*.f64 x (fma.f64 x (-.f64 #s(literal -5/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) #s(literal 1/16 binary64)))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* -5/128 x))
(fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64))
(+ 1/16 (* -5/128 x))
(fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64))
(+ 1/16 (* -5/128 x))
(fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64))
(* -5/128 x)
(*.f64 x #s(literal -5/128 binary64))
(* x (- (* 1/16 (/ 1 x)) 5/128))
(fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64))
(* x (- (* 1/16 (/ 1 x)) 5/128))
(fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64))
(* x (- (* 1/16 (/ 1 x)) 5/128))
(fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64))
(* -5/128 x)
(*.f64 x #s(literal -5/128 binary64))
(* -1 (* x (- 5/128 (* 1/16 (/ 1 x)))))
(fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64))
(* -1 (* x (- 5/128 (* 1/16 (/ 1 x)))))
(fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64))
(* -1 (* x (- 5/128 (* 1/16 (/ 1 x)))))
(fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)

eval134.0ms (1.8%)

Memory
-12.8MiB live, 101.8MiB allocated
Compiler

Compiled 13 741 to 1 667 computations (87.9% saved)

prune105.0ms (1.4%)

Memory
1.9MiB live, 122.9MiB allocated
Pruning

12 alts after pruning (1 fresh and 11 done)

PrunedKeptTotal
New5441545
Fresh000
Picked112
Done01010
Total54512557
Accuracy
100.0%
Counts
557 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.4%
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)))
62.0%
(fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 x #s(literal 1/2 binary64)))
99.7%
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
42.6%
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
36.7%
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
63.7%
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
62.4%
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
63.7%
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
62.0%
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
63.9%
(*.f64 #s(literal 1/2 binary64) x)
37.6%
(sqrt.f64 x)
4.9%
#s(literal 2 binary64)
Compiler

Compiled 206 to 106 computations (48.5% saved)

regimes11.0ms (0.1%)

Memory
19.3MiB live, 19.3MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 x)
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
Outputs
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Calls

2 calls:

5.0ms
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
5.0ms
x
Results
AccuracySegmentsBranch
99.7%1x
99.7%1(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes34.0ms (0.5%)

Memory
-15.4MiB live, 21.1MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 x)
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
Outputs
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
Calls

2 calls:

29.0ms
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
4.0ms
x
Results
AccuracySegmentsBranch
99.6%2x
99.6%2(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes8.0ms (0.1%)

Memory
21.5MiB live, 21.5MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 x)
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
Outputs
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
Calls

2 calls:

4.0ms
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
4.0ms
x
Results
AccuracySegmentsBranch
99.4%2x
99.4%2(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes125.0ms (1.7%)

Memory
-26.2MiB live, 13.2MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 x)
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Outputs
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
Calls

2 calls:

121.0ms
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
4.0ms
x
Results
AccuracySegmentsBranch
99.4%2x
99.4%2(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes6.0ms (0.1%)

Memory
10.3MiB live, 10.3MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 x)
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 x #s(literal 1/2 binary64)))
Outputs
(fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 x #s(literal 1/2 binary64)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
Calls

2 calls:

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

Compiled 11 to 7 computations (36.4% saved)

regimes6.0ms (0.1%)

Memory
9.6MiB live, 9.6MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 x)
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
Outputs
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
Calls

2 calls:

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

Compiled 11 to 7 computations (36.4% saved)

regimes5.0ms (0.1%)

Memory
8.4MiB live, 8.4MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 x)
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
Outputs
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
Calls

2 calls:

2.0ms
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
2.0ms
x
Results
AccuracySegmentsBranch
97.9%2x
97.9%2(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes23.0ms (0.3%)

Memory
-55.3MiB live, 8.6MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 x)
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
Outputs
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 x)
Calls

2 calls:

21.0ms
x
2.0ms
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
97.3%2x
97.3%2(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes4.0ms (0.1%)

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

2 calls:

2.0ms
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
2.0ms
x
Results
AccuracySegmentsBranch
96.9%2x
96.9%2(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes4.0ms (0.1%)

Memory
7.8MiB live, 7.8MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) x)
Outputs
(*.f64 #s(literal 1/2 binary64) x)
Calls

2 calls:

2.0ms
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
2.0ms
x
Results
AccuracySegmentsBranch
63.9%1x
63.9%1(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes3.0ms (0%)

Memory
6.9MiB live, 6.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
1.0ms
x
Results
AccuracySegmentsBranch
4.9%1x
4.9%1(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Compiler

Compiled 11 to 7 computations (36.4% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.00040125579672008167
0.2112940603757237
Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.4868093836743533e-12
0.00040125579672008167
Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.4868093836743533e-12
0.00040125579672008167
Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.4868093836743533e-12
0.00040125579672008167
Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.4868093836743533e-12
0.00040125579672008167
Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.2112940603757237
7.09884434099492
Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.2112940603757237
7.09884434099492
Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.2112940603757237
7.09884434099492
Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify20.0ms (0.3%)

Memory
-16.7MiB live, 21.1MiB allocated
Algorithm
egg-herbie
Rules
12×*-commutative_binary64
10×+-commutative_binary64
sub-neg_binary64
mul-1-neg_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046199
160199
263199
368199
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1152921504606847/2305843009213693952 binary64)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 6189700196426901/1237940039285380274899124224 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 6189700196426901/1237940039285380274899124224 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 6189700196426901/1237940039285380274899124224 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 x #s(literal 1/2 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 6189700196426901/1237940039285380274899124224 binary64)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 3602879701896397/9007199254740992 binary64)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 3602879701896397/9007199254740992 binary64)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (sqrt.f64 x))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 3602879701896397/9007199254740992 binary64)) (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 2 binary64)
Outputs
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1152921504606847/2305843009213693952 binary64)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1152921504606847/2305843009213693952 binary64)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 6189700196426901/1237940039285380274899124224 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 6189700196426901/1237940039285380274899124224 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 6189700196426901/1237940039285380274899124224 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 6189700196426901/1237940039285380274899124224 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 6189700196426901/1237940039285380274899124224 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 x #s(literal 1/2 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 6189700196426901/1237940039285380274899124224 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 6189700196426901/1237940039285380274899124224 binary64)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 6189700196426901/1237940039285380274899124224 binary64)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 3602879701896397/9007199254740992 binary64)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 3602879701896397/9007199254740992 binary64)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (sqrt.f64 x))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 3602879701896397/9007199254740992 binary64)) (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 3602879701896397/9007199254740992 binary64)) (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 2 binary64)

soundness1.1s (14.9%)

Memory
28.7MiB live, 943.5MiB allocated
Rules
18 662×accelerator-lowering-fma.f32
18 662×accelerator-lowering-fma.f64
12 484×accelerator-lowering-fma.f32
12 484×accelerator-lowering-fma.f64
9 646×accelerator-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0621
14221
231120
3339620
0827620
02494
116694
2126894
0825976
01857
110654
285954
0882347
0153952
1458940
21289924
33856912
08185792
0161600
1485505
21633483
35433474
08374430
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 385 to 176 computations (54.3% saved)

preprocess117.0ms (1.6%)

Memory
-9.6MiB live, 146.8MiB allocated
Compiler

Compiled 418 to 98 computations (76.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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