2isqrt (example 3.6)

Time bar (total: 11.5s)

analyze2.0ms (0%)

Memory
5.6MiB live, 5.6MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
0%0%25%75%0%0%0%1
50%12.5%12.5%75%0%0%0%2
75%18.7%6.2%75%0%0%0%3
87.5%21.9%3.1%75%0%0%0%4
93.8%23.4%1.6%75%0%0%0%5
96.9%24.2%0.8%75%0%0%0%6
98.4%24.6%0.4%75%0%0%0%7
99.2%24.8%0.2%75%0%0%0%8
99.6%24.9%0.1%75%0%0%0%9
99.8%24.9%0%75%0%0%0%10
99.9%25%0%75%0%0%0%11
100%25%0%75%0%0%0%12
Compiler

Compiled 19 to 13 computations (31.6% saved)

sample2.0s (17.1%)

Memory
14.8MiB live, 2 382.7MiB allocated
Samples
1.1s6 431×1valid
462.0ms1 658×2valid
13.0ms167×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-div: 314.0ms (23.7% of total)
ival-sqrt: 271.0ms (20.4% of total)
adjust: 164.0ms (12.4% of total)
const: 146.0ms (11% of total)
ival->: 137.0ms (10.3% of total)
ival-add: 119.0ms (9% of total)
ival-sub: 117.0ms (8.8% of total)
ival-and: 21.0ms (1.6% of total)
ival-<: 19.0ms (1.4% of total)
exact: 13.0ms (1% of total)
ival-assert: 7.0ms (0.5% of total)
Bogosity

preprocess31.0ms (0.3%)

Memory
26.3MiB live, 64.5MiB allocated
Algorithm
egg-herbie
Rules
112×accelerator-lowering-fma.f32
112×accelerator-lowering-fma.f64
86×sub-neg
80×*-lowering-*.f32
80×*-lowering-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01638
12936
26235
311135
417535
526035
633435
738635
844835
947735
1049735
1149935
0811
11311
22111
33011
44211
56211
610111
713211
818811
921711
1023811
1124011
024011
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
Outputs
(- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
Call 2
Inputs
(- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
(- (/ 1 (sqrt (neg x))) (/ 1 (sqrt (+ (neg x) 1))))
(neg (- (/ 1 (sqrt (neg x))) (/ 1 (sqrt (+ (neg x) 1)))))
Outputs
(- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
(+ (/ 1 (sqrt x)) (/ -1 (sqrt (+ 1 x))))
(- (/ 1 (sqrt (neg x))) (/ 1 (sqrt (+ (neg x) 1))))
(+ (/ 1 (sqrt (neg x))) (/ -1 (sqrt (- 1 x))))
(neg (- (/ 1 (sqrt (neg x))) (/ 1 (sqrt (+ (neg x) 1)))))
(+ (/ 1 (sqrt (- 1 x))) (/ -1 (sqrt (neg x))))

explain159.0ms (1.4%)

Memory
5.1MiB live, 397.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1781(1.5211517531781914e+215)0-(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(sqrt.f64 x)
00-0-(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
00-0-(/.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
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))cancellation1790
Confusion
Predicted +Predicted -
+1780
-177
Precision
0.994413407821229
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+17800
-1077
Precision?
0.994413407821229
Recall?
1.0
Freqs
test
numberfreq
077
1179
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
50.0ms374×1valid
27.0ms128×2valid
1.0ms10×0valid
Compiler

Compiled 92 to 36 computations (60.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-sqrt: 19.0ms (34.5% of total)
ival-div: 15.0ms (27.3% of total)
ival-add: 8.0ms (14.5% of total)
adjust: 7.0ms (12.7% of total)
ival-sub: 5.0ms (9.1% of total)
exact: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.1%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify13.0ms (0.1%)

Memory
-22.2MiB live, 16.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
cost-diff0
(sqrt.f64 x)
cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Rules
112×accelerator-lowering-fma.f32
112×accelerator-lowering-fma.f64
80×*-lowering-*.f32
80×*-lowering-*.f64
52×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0832
11332
22132
33032
44232
56232
610132
713232
818832
921732
1023832
1124032
024032
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
(/ 1 (sqrt x))
1
(sqrt x)
x
(/ 1 (sqrt (+ x 1)))
(sqrt (+ x 1))
(+ x 1)
Outputs
(- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/ 1 (sqrt x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
1
#s(literal 1 binary64)
(sqrt x)
(sqrt.f64 x)
x
(/ 1 (sqrt (+ x 1)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(sqrt (+ x 1))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+ x 1)
(+.f64 #s(literal 1 binary64) x)

localize63.0ms (0.5%)

Memory
-22.6MiB live, 138.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sqrt.f64 x)
accuracy99.5%
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
accuracy99.5%
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
accuracy39.2%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Samples
37.0ms187×1valid
13.0ms64×2valid
0.0ms0valid
Compiler

Compiled 34 to 10 computations (70.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
adjust: 17.0ms (42.7% of total)
ival-div: 8.0ms (20.1% of total)
ival-sqrt: 8.0ms (20.1% of total)
ival-sub: 3.0ms (7.5% of total)
ival-add: 3.0ms (7.5% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
-25.1MiB live, 14.0MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))>
#<alt (/ 1 (sqrt x))>
#<alt (sqrt x)>
#<alt (/ 1 (sqrt (+ x 1)))>
Outputs
#<alt (sqrt (/ 1 x))>
#<alt (/ (+ (sqrt x) (* -1 x)) x)>
#<alt (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)>
#<alt (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))>
#<alt (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))>
#<alt (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))>
#<alt (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 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 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 3/8 x) 1/2)))>
#<alt (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))>
#<alt (sqrt (/ 1 x))>
#<alt (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))>
#<alt (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))>
#<alt (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/ 1 (sqrt (+ x 1)))
1.0ms
x
@-inf
(- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
1.0ms
x
@inf
(- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
1.0ms
x
@-inf
(/ 1 (sqrt (+ x 1)))
1.0ms
x
@-inf
(/ 1 (sqrt x))

rewrite264.0ms (2.3%)

Memory
38.9MiB live, 430.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 400×accelerator-lowering-fma.f32
4 400×accelerator-lowering-fma.f64
3 040×*-lowering-*.f32
3 040×*-lowering-*.f64
2 738×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0823
16019
255819
3671019
0810419
Stop Event
iter limit
node limit
Counts
4 → 238
Calls
Call 1
Inputs
(- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
(/ 1 (sqrt x))
(sqrt x)
(/ 1 (sqrt (+ x 1)))
Outputs
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(+.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (sqrt.f64 (/.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(+.f64 (/.f64 (pow.f64 x #s(literal -3/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))))))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (/.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal -3/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) x))))
(-.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (sqrt.f64 (/.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -3/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) x)))))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) x)))))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (/.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))))))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (/.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (/.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
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(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))) (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x))) (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(*.f64 (/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(*.f64 (/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(neg.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 x #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(sqrt.f64 x)
(neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1 binary64))
(/.f64 (sqrt.f64 x) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1 binary64))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log1p.f64 x)))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/.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)))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.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)))
(*.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)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))))
(*.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)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))

simplify852.0ms (7.4%)

Memory
1.3MiB live, 551.7MiB allocated
Algorithm
egg-herbie
Rules
23 172×accelerator-lowering-fma.f32
23 172×accelerator-lowering-fma.f64
4 828×*-lowering-*.f32
4 828×*-lowering-*.f64
3 424×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114529
1303480
2925455
33326445
08140416
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
(sqrt (/ 1 x))
(/ (+ (sqrt x) (* -1 x)) x)
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 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)))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 3/8 x) 1/2)))
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))
(sqrt (/ 1 x))
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
Outputs
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ (+ (sqrt x) (* -1 x)) x)
(+.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1 binary64))
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) x)
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -3/8 binary64))))))) x)
(* 1/2 (sqrt (/ 1 (pow x 3))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x))
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x))
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))))
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/4 binary64))))) (*.f64 x (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) 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)
(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)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(+ 1 (* x (- (* 3/8 x) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 3/8 binary64)))))
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 3/8 binary64) (*.f64 x #s(literal -5/16 binary64)))))))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/2 binary64)))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))
(+.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(-.f64 (*.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)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+.f64 (-.f64 (*.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))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/2 binary64)) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) x) x) x)))) (/.f64 (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (*.f64 x (*.f64 x x)))))

eval49.0ms (0.4%)

Memory
2.0MiB live, 40.0MiB allocated
Compiler

Compiled 6 997 to 734 computations (89.5% saved)

prune48.0ms (0.4%)

Memory
-13.1MiB live, 66.7MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New27115286
Fresh000
Picked101
Done000
Total27215287
Accuracy
84.9%
Counts
287 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.0%
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
41.0%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x))))
39.2%
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
41.0%
(/.f64 (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
84.1%
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x))
41.0%
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))))
39.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
39.1%
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
30.0%
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
30.2%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
25.9%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
41.0%
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
83.0%
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
66.9%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
5.6%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 502 to 302 computations (39.8% saved)

simplify359.0ms (3.1%)

Memory
-2.6MiB live, 317.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
cost-diff64
(pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
cost-diff128
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
cost-diff256
(-.f64 (+.f64 #s(literal 1 binary64) x) x)
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff0
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
cost-diff0
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
cost-diff0
(+.f64 #s(literal 1 binary64) x)
cost-diff0
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
cost-diff0
(pow.f64 x #s(literal -1/2 binary64))
cost-diff0
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff0
(+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64)))))
cost-diff0
(-.f64 (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
cost-diff0
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x))
Rules
10 144×accelerator-lowering-fma.f32
10 144×accelerator-lowering-fma.f64
2 996×*-lowering-*.f32
2 996×*-lowering-*.f64
1 794×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032271
187263
2197261
3481261
41210261
53060261
66855261
08080246
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (* 1/2 (- (+ (sqrt x) (* (sqrt (/ 1 (* x (* x x)))) (+ 1 (* x 1/4)))) (sqrt (/ 1 x)))) (* x x))
(* 1/2 (- (+ (sqrt x) (* (sqrt (/ 1 (* x (* x x)))) (+ 1 (* x 1/4)))) (sqrt (/ 1 x))))
1/2
(- (+ (sqrt x) (* (sqrt (/ 1 (* x (* x x)))) (+ 1 (* x 1/4)))) (sqrt (/ 1 x)))
(+ (sqrt x) (* (sqrt (/ 1 (* x (* x x)))) (+ 1 (* x 1/4))))
(sqrt x)
x
(* (sqrt (/ 1 (* x (* x x)))) (+ 1 (* x 1/4)))
(sqrt (/ 1 (* x (* x x))))
(/ 1 (* x (* x x)))
1
(* x (* x x))
(* x x)
(+ 1 (* x 1/4))
(* x 1/4)
1/4
(sqrt (/ 1 x))
(/ 1 x)
(sqrt (/ 1 x))
(/ 1 x)
1
x
(- (pow x -1/2) (pow (+ 1 x) -1/2))
(pow x -1/2)
x
-1/2
(pow (+ 1 x) -1/2)
(+ 1 x)
1
(* (- (sqrt (/ 1 x)) (sqrt x)) (/ -1/2 (* x x)))
(- (sqrt (/ 1 x)) (sqrt x))
(sqrt (/ 1 x))
(/ 1 x)
1
x
(sqrt x)
(/ -1/2 (* x x))
-1/2
(* x x)
(* (/ (- (+ 1 x) x) (+ x (pow (* x (+ 1 x)) 1/2))) (pow (+ 1 x) -1/2))
(/ (- (+ 1 x) x) (+ x (pow (* x (+ 1 x)) 1/2)))
(- (+ 1 x) x)
(+ 1 x)
1
x
(+ x (pow (* x (+ 1 x)) 1/2))
(pow (* x (+ 1 x)) 1/2)
(* x (+ 1 x))
1/2
(pow (+ 1 x) -1/2)
-1/2
Outputs
(/ (* 1/2 (- (+ (sqrt x) (* (sqrt (/ 1 (* x (* x x)))) (+ 1 (* x 1/4)))) (sqrt (/ 1 x)))) (* x x))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))))) (*.f64 x x))
(* 1/2 (- (+ (sqrt x) (* (sqrt (/ 1 (* x (* x x)))) (+ 1 (* x 1/4)))) (sqrt (/ 1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))))
1/2
#s(literal 1/2 binary64)
(- (+ (sqrt x) (* (sqrt (/ 1 (* x (* x x)))) (+ 1 (* x 1/4)))) (sqrt (/ 1 x)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+ (sqrt x) (* (sqrt (/ 1 (* x (* x x)))) (+ 1 (* x 1/4))))
(-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/4 binary64)))))
(sqrt x)
(sqrt.f64 x)
x
(* (sqrt (/ 1 (* x (* x x)))) (+ 1 (* x 1/4)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))))
(sqrt (/ 1 (* x (* x x))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))
(/ 1 (* x (* x x)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)
1
#s(literal 1 binary64)
(* x (* x x))
(*.f64 x (*.f64 x x))
(* x x)
(*.f64 x x)
(+ 1 (* x 1/4))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64)))
(* x 1/4)
(*.f64 x #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(- (pow x -1/2) (pow (+ 1 x) -1/2))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(pow x -1/2)
(pow.f64 x #s(literal -1/2 binary64))
x
-1/2
#s(literal -1/2 binary64)
(pow (+ 1 x) -1/2)
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* (- (sqrt (/ 1 x)) (sqrt x)) (/ -1/2 (* x x)))
(*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(- (sqrt (/ 1 x)) (sqrt x))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(sqrt x)
(sqrt.f64 x)
(/ -1/2 (* x x))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
-1/2
#s(literal -1/2 binary64)
(* x x)
(*.f64 x x)
(* (/ (- (+ 1 x) x) (+ x (pow (* x (+ 1 x)) 1/2))) (pow (+ 1 x) -1/2))
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 x (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/ (- (+ 1 x) x) (+ x (pow (* x (+ 1 x)) 1/2)))
(/.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(- (+ 1 x) x)
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
x
(+ x (pow (* x (+ 1 x)) 1/2))
(+.f64 x (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(pow (* x (+ 1 x)) 1/2)
(sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))
(* x (+ 1 x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
1/2
#s(literal 1/2 binary64)
(pow (+ 1 x) -1/2)
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)

localize246.0ms (2.1%)

Memory
38.0MiB live, 391.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
accuracy99.7%
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
accuracy54.2%
(pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
accuracy7.7%
(-.f64 (+.f64 #s(literal 1 binary64) x) x)
accuracy100.0%
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
accuracy99.7%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy99.5%
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
accuracy85.2%
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
accuracy100.0%
(pow.f64 x #s(literal -1/2 binary64))
accuracy100.0%
(+.f64 #s(literal 1 binary64) x)
accuracy100.0%
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
accuracy39.2%
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy99.7%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy99.1%
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
accuracy84.8%
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x))
accuracy69.6%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
accuracy69.2%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))))
Samples
117.0ms187×1valid
67.0ms64×2valid
1.0ms0valid
Compiler

Compiled 297 to 34 computations (88.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 142.0ms
ival-pow: 54.0ms (38.1% of total)
ival-mult: 20.0ms (14.1% of total)
ival-div: 18.0ms (12.7% of total)
ival-sqrt: 15.0ms (10.6% of total)
adjust: 13.0ms (9.2% of total)
ival-add: 10.0ms (7.1% of total)
ival-sub: 10.0ms (7.1% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory
1.8MiB live, 39.6MiB allocated
Counts
21 → 252
Calls
Call 1
Inputs
#<alt (/ (* 1/2 (- (+ (sqrt x) (* (sqrt (/ 1 (* x (* x x)))) (+ 1 (* x 1/4)))) (sqrt (/ 1 x)))) (* x x))>
#<alt (* 1/2 (- (+ (sqrt x) (* (sqrt (/ 1 (* x (* x x)))) (+ 1 (* x 1/4)))) (sqrt (/ 1 x))))>
#<alt (- (+ (sqrt x) (* (sqrt (/ 1 (* x (* x x)))) (+ 1 (* x 1/4)))) (sqrt (/ 1 x)))>
#<alt (+ (sqrt x) (* (sqrt (/ 1 (* x (* x x)))) (+ 1 (* x 1/4))))>
#<alt (sqrt (/ 1 x))>
#<alt (/ 1 x)>
#<alt (- (pow x -1/2) (pow (+ 1 x) -1/2))>
#<alt (pow x -1/2)>
#<alt (pow (+ 1 x) -1/2)>
#<alt (+ 1 x)>
#<alt (* (- (sqrt (/ 1 x)) (sqrt x)) (/ -1/2 (* x x)))>
#<alt (- (sqrt (/ 1 x)) (sqrt x))>
#<alt (- (+ 1 x) x)>
#<alt (* (/ (- (+ 1 x) x) (+ x (pow (* x (+ 1 x)) 1/2))) (pow (+ 1 x) -1/2))>
#<alt (pow (* x (+ 1 x)) 1/2)>
#<alt (/ (- (+ 1 x) x) (+ x (pow (* x (+ 1 x)) 1/2)))>
#<alt (* (sqrt (/ 1 (* x (* x x)))) (+ 1 (* x 1/4)))>
#<alt (sqrt (/ 1 (* x (* x x))))>
#<alt (/ 1 (* x (* x x)))>
#<alt (/ -1/2 (* x x))>
#<alt (+ x (pow (* x (+ 1 x)) 1/2))>
Outputs
#<alt (* 1/2 (sqrt (/ 1 (pow x 7))))>
#<alt (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* x (- (* 1/4 (sqrt x)) (sqrt x))))) (pow x 4))>
#<alt (/ (+ (* 1/2 (sqrt x)) (* x (+ (* 1/2 (sqrt (pow x 3))) (* 1/2 (- (* 1/4 (sqrt x)) (sqrt x)))))) (pow x 4))>
#<alt (/ (+ (* 1/2 (sqrt x)) (* x (+ (* 1/2 (sqrt (pow x 3))) (* 1/2 (- (* 1/4 (sqrt x)) (sqrt x)))))) (pow x 4))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (/ (- (* 1/4 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x))) x)>
#<alt (/ (+ (* 1/2 (sqrt (/ 1 x))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (/ (- (* 1/4 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)))) x)>
#<alt (/ (+ (* 1/2 (sqrt (/ 1 x))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (/ (- (* 1/4 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)))) x)>
#<alt (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1 (/ (+ (* -1/2 (/ (- (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (- (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (- (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* x (- (* 1/4 (sqrt x)) (sqrt x))))) (pow x 2))>
#<alt (/ (+ (* 1/2 (sqrt x)) (* x (+ (* 1/2 (sqrt (pow x 3))) (* 1/2 (- (* 1/4 (sqrt x)) (sqrt x)))))) (pow x 2))>
#<alt (/ (+ (* 1/2 (sqrt x)) (* x (+ (* 1/2 (sqrt (pow x 3))) (* 1/2 (- (* 1/4 (sqrt x)) (sqrt x)))))) (pow x 2))>
#<alt (* 1/2 (sqrt x))>
#<alt (* x (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (/ (- (* 1/4 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x))))>
#<alt (* x (+ (* 1/2 (sqrt (/ 1 x))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (/ (- (* 1/4 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)))))>
#<alt (* x (+ (* 1/2 (sqrt (/ 1 x))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (/ (- (* 1/4 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)))))>
#<alt (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* -1/2 (/ (- (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (- (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (- (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (/ (+ (sqrt x) (* x (- (* 1/4 (sqrt x)) (sqrt x)))) (pow x 2))>
#<alt (/ (+ (sqrt x) (* x (- (+ (sqrt (pow x 3)) (* 1/4 (sqrt x))) (sqrt x)))) (pow x 2))>
#<alt (/ (+ (sqrt x) (* x (- (+ (sqrt (pow x 3)) (* 1/4 (sqrt x))) (sqrt x)))) (pow x 2))>
#<alt (sqrt x)>
#<alt (* x (- (+ (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 (pow x 3))))) (sqrt (/ 1 (pow x 3)))))>
#<alt (* x (- (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 5))) (* 1/4 (sqrt (/ 1 (pow x 3)))))) (sqrt (/ 1 (pow x 3)))))>
#<alt (* x (- (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 5))) (* 1/4 (sqrt (/ 1 (pow x 3)))))) (sqrt (/ 1 (pow x 3)))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (/ (+ (sqrt x) (* 1/4 (sqrt (pow x 3)))) (pow x 2))>
#<alt (/ (+ (sqrt x) (* x (+ (sqrt (pow x 3)) (* 1/4 (sqrt x))))) (pow x 2))>
#<alt (/ (+ (sqrt x) (* x (+ (sqrt (pow x 3)) (* 1/4 (sqrt x))))) (pow x 2))>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 5))) (* 1/4 (sqrt (/ 1 (pow x 3)))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 5))) (* 1/4 (sqrt (/ 1 (pow x 3)))))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (sqrt (/ 1 x))>
#<alt (/ (+ (sqrt x) (* -1 x)) x)>
#<alt (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)>
#<alt (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))>
#<alt (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))>
#<alt (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) x)) (* -1/2 (sqrt x))) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/2 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (* (sqrt x) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) x)) (* -1/2 (sqrt x))) x)) (* -1/2 (sqrt x))) (pow x 2))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 3/8 x) 1/2)))>
#<alt (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))>
#<alt (sqrt (/ 1 x))>
#<alt (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))>
#<alt (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))>
#<alt (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -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 (sqrt (/ 1 (pow x 5))))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)>
#<alt (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)>
#<alt (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)>
#<alt (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))>
#<alt (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))>
#<alt (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))>
#<alt (sqrt (/ 1 x))>
#<alt (/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)>
#<alt (/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)>
#<alt (/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)>
#<alt (* -1 (sqrt x))>
#<alt (* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x))))>
#<alt (* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x))))>
#<alt (* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x))))>
#<alt (* (sqrt x) (pow (sqrt -1) 2))>
#<alt (* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt (sqrt (/ 1 x))>
#<alt (+ (sqrt (/ 1 x)) (* x (- (* -1/2 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (+ (sqrt (/ 1 x)) (* x (- (+ (* -1/2 (sqrt (/ 1 x))) (* x (+ (* -1 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* 3/8 (sqrt (/ 1 x))) (* 1/2 (/ 1 x)))))) (/ 1 x))))>
#<alt (+ (sqrt (/ 1 x)) (* x (- (+ (* -1/2 (sqrt (/ 1 x))) (* x (+ (* -1 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* 3/8 (sqrt (/ 1 x))) (+ (* 1/2 (/ 1 x)) (* x (- (+ (* -5/16 (sqrt (/ 1 x))) (+ (* 1/2 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (* 1/2 (/ 1 (pow x 2))))) (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (* 3/8 (/ 1 x)))))))))) (/ 1 x))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)>
#<alt (/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) x)>
#<alt (/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) x)>
#<alt (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))>
#<alt (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (/ (+ (sqrt x) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))>
#<alt (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (/ (+ (sqrt x) (+ (* -1 (/ (+ (sqrt x) (+ (* -1/4 (sqrt x)) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))>
#<alt (sqrt x)>
#<alt (+ (sqrt x) (* 1/2 (sqrt (pow x 3))))>
#<alt (+ (sqrt x) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))>
#<alt (+ (sqrt x) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x))))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 x))))>
#<alt (* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))>
#<alt (* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (* 1/8 (/ 1 x)) 1/2) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x)) 1/2) x)))))>
#<alt (sqrt (/ 1 x))>
#<alt (- (sqrt (/ 1 x)) 1)>
#<alt (+ (sqrt (/ 1 x)) (* x (- (* -1 (* x (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (/ 1 x))))>
#<alt (+ (sqrt (/ 1 x)) (* x (- (* x (- (* x (- (* 1/2 (/ 1 (pow x 2))) (* -1 (* (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (/ 1 x))))>
#<alt (/ 1/2 x)>
#<alt (/ (- 1/2 (* 1/8 (/ 1 x))) x)>
#<alt (/ (- (+ 1/2 (/ 1/16 (pow x 2))) (* 1/8 (/ 1 x))) x)>
#<alt (/ (- (+ 1/2 (/ 1/16 (pow x 2))) (+ (* 1/8 (/ 1 x)) (* 5/128 (/ 1 (pow x 3))))) x)>
#<alt -2>
#<alt (* -1 (+ 2 (* 1/2 (/ 1 x))))>
#<alt (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 x))) x)) 2)>
#<alt (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/8 (* 1/16 (/ 1 x))) x))) x)) 2)>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (/ (+ (sqrt x) (* 1/4 (sqrt (pow x 3)))) (pow x 2))>
#<alt (/ (+ (sqrt x) (* 1/4 (sqrt (pow x 3)))) (pow x 2))>
#<alt (/ (+ (sqrt x) (* 1/4 (sqrt (pow x 3)))) (pow x 2))>
#<alt (* 1/4 (sqrt (/ 1 x)))>
#<alt (+ (sqrt (/ 1 (pow x 3))) (* 1/4 (sqrt (/ 1 x))))>
#<alt (+ (sqrt (/ 1 (pow x 3))) (* 1/4 (sqrt (/ 1 x))))>
#<alt (+ (sqrt (/ 1 (pow x 3))) (* 1/4 (sqrt (/ 1 x))))>
#<alt (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (sqrt x)>
#<alt (+ x (sqrt x))>
#<alt (+ (sqrt x) (* x (+ 1 (* 1/2 (sqrt x)))))>
#<alt (+ (sqrt x) (* x (+ 1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/2 (/ 1 x))))>
#<alt (* x (- (+ 2 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))>
#<alt (* x (- (+ 2 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))>
#<alt -1/2>
#<alt (- (* 1/8 (/ 1 x)) 1/2)>
#<alt (- (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x)) 1/2)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 5/128 (/ 1 x)) 1/16) x)) 1/8) x)) 1/2)>
Calls

63 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(pow x -1/2)
1.0ms
x
@0
(* (/ (- (+ 1 x) x) (+ x (pow (* x (+ 1 x)) 1/2))) (pow (+ 1 x) -1/2))
1.0ms
x
@0
(/ (* 1/2 (- (+ (sqrt x) (* (sqrt (/ 1 (* x (* x x)))) (+ 1 (* x 1/4)))) (sqrt (/ 1 x)))) (* x x))
1.0ms
x
@-inf
(/ (* 1/2 (- (+ (sqrt x) (* (sqrt (/ 1 (* x (* x x)))) (+ 1 (* x 1/4)))) (sqrt (/ 1 x)))) (* x x))
1.0ms
x
@-inf
(* (/ (- (+ 1 x) x) (+ x (pow (* x (+ 1 x)) 1/2))) (pow (+ 1 x) -1/2))

rewrite471.0ms (4.1%)

Memory
-18.2MiB live, 757.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 218×*-lowering-*.f32
4 218×*-lowering-*.f64
4 112×/-lowering-/.f32
4 112×/-lowering-/.f64
3 816×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032212
1232173
22083171
08494154
Stop Event
iter limit
node limit
Counts
21 → 911
Calls
Call 1
Inputs
(/ (* 1/2 (- (+ (sqrt x) (* (sqrt (/ 1 (* x (* x x)))) (+ 1 (* x 1/4)))) (sqrt (/ 1 x)))) (* x x))
(* 1/2 (- (+ (sqrt x) (* (sqrt (/ 1 (* x (* x x)))) (+ 1 (* x 1/4)))) (sqrt (/ 1 x))))
(- (+ (sqrt x) (* (sqrt (/ 1 (* x (* x x)))) (+ 1 (* x 1/4)))) (sqrt (/ 1 x)))
(+ (sqrt x) (* (sqrt (/ 1 (* x (* x x)))) (+ 1 (* x 1/4))))
(sqrt (/ 1 x))
(/ 1 x)
(- (pow x -1/2) (pow (+ 1 x) -1/2))
(pow x -1/2)
(pow (+ 1 x) -1/2)
(+ 1 x)
(* (- (sqrt (/ 1 x)) (sqrt x)) (/ -1/2 (* x x)))
(- (sqrt (/ 1 x)) (sqrt x))
(- (+ 1 x) x)
(* (/ (- (+ 1 x) x) (+ x (pow (* x (+ 1 x)) 1/2))) (pow (+ 1 x) -1/2))
(pow (* x (+ 1 x)) 1/2)
(/ (- (+ 1 x) x) (+ x (pow (* x (+ 1 x)) 1/2)))
(* (sqrt (/ 1 (* x (* x x)))) (+ 1 (* x 1/4)))
(sqrt (/ 1 (* x (* x x))))
(/ 1 (* x (* x x)))
(/ -1/2 (* x x))
(+ x (pow (* x (+ 1 x)) 1/2))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 x) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(neg.f64 (/.f64 (*.f64 (+.f64 (sqrt.f64 x) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 x) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 x) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))))) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 x) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))))) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 x) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 x) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))))) x))))
(/.f64 (*.f64 (+.f64 (sqrt.f64 x) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))))) x) x)
(/.f64 (neg.f64 (*.f64 (+.f64 (sqrt.f64 x) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))) #s(literal -1/2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))))) x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))))) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (sqrt.f64 x) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))))) x)
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 (sqrt.f64 x) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))))) x))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (sqrt.f64 x) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))))) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 x) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 x) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))))) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (sqrt.f64 x) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))) (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))))) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))))) x))
(*.f64 (+.f64 (sqrt.f64 x) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 (+.f64 (sqrt.f64 x) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (*.f64 (+.f64 (sqrt.f64 x) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (sqrt.f64 x) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))) x))
(*.f64 (/.f64 (+.f64 (sqrt.f64 x) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))) x) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))))) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (+.f64 (sqrt.f64 x) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))) (*.f64 x x)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))))) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
(+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (+.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))
(fma.f64 (+.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (+.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal -3/2 binary64)))) (+.f64 (pow.f64 (+.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 x)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (+.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal -3/2 binary64))) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (+.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (+.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal -3/2 binary64))))) (neg.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 x))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (+.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x)))) (neg.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal -3/2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 x))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (neg.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (+.f64 (sqrt.f64 x) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 x) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))))
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(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) (*.f64 (-.f64 x (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 (-.f64 x (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (-.f64 x (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 x (+.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 x (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) (neg.f64 (neg.f64 (-.f64 x (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 x x))) (neg.f64 (-.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) x)))
(pow.f64 (/.f64 (-.f64 (*.f64 x (+.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 x (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 3/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (-.f64 (*.f64 x x) (*.f64 x (+.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 x (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))))
(*.f64 (-.f64 (*.f64 x x) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))

simplify820.0ms (7.1%)

Memory
-0.8MiB live, 871.8MiB allocated
Algorithm
egg-herbie
Rules
14 552×accelerator-lowering-fma.f32
14 552×accelerator-lowering-fma.f64
5 108×*-lowering-*.f32
5 108×*-lowering-*.f64
3 940×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04213287
112892794
242922623
081722507
Stop Event
iter limit
node limit
Counts
252 → 252
Calls
Call 1
Inputs
(* 1/2 (sqrt (/ 1 (pow x 7))))
(/ (+ (* 1/2 (sqrt x)) (* 1/2 (* x (- (* 1/4 (sqrt x)) (sqrt x))))) (pow x 4))
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* 1/2 (sqrt (pow x 3))) (* 1/2 (- (* 1/4 (sqrt x)) (sqrt x)))))) (pow x 4))
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* 1/2 (sqrt (pow x 3))) (* 1/2 (- (* 1/4 (sqrt x)) (sqrt x)))))) (pow x 4))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (/ (- (* 1/4 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x))) x)
(/ (+ (* 1/2 (sqrt (/ 1 x))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (/ (- (* 1/4 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)))) x)
(/ (+ (* 1/2 (sqrt (/ 1 x))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (/ (- (* 1/4 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)))) x)
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* -1/2 (/ (- (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (- (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (- (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* 1/2 (sqrt x)) (* 1/2 (* x (- (* 1/4 (sqrt x)) (sqrt x))))) (pow x 2))
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* 1/2 (sqrt (pow x 3))) (* 1/2 (- (* 1/4 (sqrt x)) (sqrt x)))))) (pow x 2))
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* 1/2 (sqrt (pow x 3))) (* 1/2 (- (* 1/4 (sqrt x)) (sqrt x)))))) (pow x 2))
(* 1/2 (sqrt x))
(* x (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (/ (- (* 1/4 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x))))
(* x (+ (* 1/2 (sqrt (/ 1 x))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (/ (- (* 1/4 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)))))
(* x (+ (* 1/2 (sqrt (/ 1 x))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (/ (- (* 1/4 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)))))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -1/2 (/ (- (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (- (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (- (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(sqrt (/ 1 (pow x 3)))
(/ (+ (sqrt x) (* x (- (* 1/4 (sqrt x)) (sqrt x)))) (pow x 2))
(/ (+ (sqrt x) (* x (- (+ (sqrt (pow x 3)) (* 1/4 (sqrt x))) (sqrt x)))) (pow x 2))
(/ (+ (sqrt x) (* x (- (+ (sqrt (pow x 3)) (* 1/4 (sqrt x))) (sqrt x)))) (pow x 2))
(sqrt x)
(* x (- (+ (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 (pow x 3))))) (sqrt (/ 1 (pow x 3)))))
(* x (- (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 5))) (* 1/4 (sqrt (/ 1 (pow x 3)))))) (sqrt (/ 1 (pow x 3)))))
(* x (- (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 5))) (* 1/4 (sqrt (/ 1 (pow x 3)))))) (sqrt (/ 1 (pow x 3)))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(sqrt (/ 1 (pow x 3)))
(/ (+ (sqrt x) (* 1/4 (sqrt (pow x 3)))) (pow x 2))
(/ (+ (sqrt x) (* x (+ (sqrt (pow x 3)) (* 1/4 (sqrt x))))) (pow x 2))
(/ (+ (sqrt x) (* x (+ (sqrt (pow x 3)) (* 1/4 (sqrt x))))) (pow x 2))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 5))) (* 1/4 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 5))) (* 1/4 (sqrt (/ 1 (pow x 3)))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(sqrt (/ 1 x))
(/ (+ (sqrt x) (* -1 x)) x)
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))
(/ (- (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) x)) (* -1/2 (sqrt x))) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/2 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (* (sqrt x) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) x)) (* -1/2 (sqrt x))) x)) (* -1/2 (sqrt x))) (pow x 2))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 3/8 x) 1/2)))
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))
(sqrt (/ 1 x))
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -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 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(sqrt (/ 1 x))
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)
(* -1 (sqrt x))
(* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x))))
(* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x))))
(* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x))))
(* (sqrt x) (pow (sqrt -1) 2))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
1
1
1
1
1
1
1
1
1
1
1
1
(sqrt (/ 1 x))
(+ (sqrt (/ 1 x)) (* x (- (* -1/2 (sqrt (/ 1 x))) (/ 1 x))))
(+ (sqrt (/ 1 x)) (* x (- (+ (* -1/2 (sqrt (/ 1 x))) (* x (+ (* -1 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* 3/8 (sqrt (/ 1 x))) (* 1/2 (/ 1 x)))))) (/ 1 x))))
(+ (sqrt (/ 1 x)) (* x (- (+ (* -1/2 (sqrt (/ 1 x))) (* x (+ (* -1 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* 3/8 (sqrt (/ 1 x))) (+ (* 1/2 (/ 1 x)) (* x (- (+ (* -5/16 (sqrt (/ 1 x))) (+ (* 1/2 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (* 1/2 (/ 1 (pow x 2))))) (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (* 3/8 (/ 1 x)))))))))) (/ 1 x))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) x)
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) x)
(* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (/ (+ (sqrt x) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))
(+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (/ (+ (sqrt x) (+ (* -1 (/ (+ (sqrt x) (+ (* -1/4 (sqrt x)) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))
(sqrt x)
(+ (sqrt x) (* 1/2 (sqrt (pow x 3))))
(+ (sqrt x) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))
(+ (sqrt x) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x))))))))
x
(* x (+ 1 (* 1/2 (/ 1 x))))
(* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* 1/8 (/ 1 x)) 1/2) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x)) 1/2) x)))))
(sqrt (/ 1 x))
(- (sqrt (/ 1 x)) 1)
(+ (sqrt (/ 1 x)) (* x (- (* -1 (* x (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (/ 1 x))))
(+ (sqrt (/ 1 x)) (* x (- (* x (- (* x (- (* 1/2 (/ 1 (pow x 2))) (* -1 (* (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (/ 1 x))))
(/ 1/2 x)
(/ (- 1/2 (* 1/8 (/ 1 x))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 2))) (* 1/8 (/ 1 x))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 2))) (+ (* 1/8 (/ 1 x)) (* 5/128 (/ 1 (pow x 3))))) x)
-2
(* -1 (+ 2 (* 1/2 (/ 1 x))))
(- (* -1 (/ (- 1/2 (* 1/8 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/8 (* 1/16 (/ 1 x))) x))) x)) 2)
(sqrt (/ 1 (pow x 3)))
(/ (+ (sqrt x) (* 1/4 (sqrt (pow x 3)))) (pow x 2))
(/ (+ (sqrt x) (* 1/4 (sqrt (pow x 3)))) (pow x 2))
(/ (+ (sqrt x) (* 1/4 (sqrt (pow x 3)))) (pow x 2))
(* 1/4 (sqrt (/ 1 x)))
(+ (sqrt (/ 1 (pow x 3))) (* 1/4 (sqrt (/ 1 x))))
(+ (sqrt (/ 1 (pow x 3))) (* 1/4 (sqrt (/ 1 x))))
(+ (sqrt (/ 1 (pow x 3))) (* 1/4 (sqrt (/ 1 x))))
(* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(sqrt x)
(+ x (sqrt x))
(+ (sqrt x) (* x (+ 1 (* 1/2 (sqrt x)))))
(+ (sqrt x) (* x (+ 1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 x))))
(* x (- (+ 2 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))
-1/2
(- (* 1/8 (/ 1 x)) 1/2)
(- (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x)) 1/2)
(- (* -1 (/ (- (* -1 (/ (- (* 5/128 (/ 1 x)) 1/16) x)) 1/8) x)) 1/2)
Outputs
(* 1/2 (sqrt (/ 1 (pow x 7))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))
(/ (+ (* 1/2 (sqrt x)) (* 1/2 (* x (- (* 1/4 (sqrt x)) (sqrt x))))) (pow x 4))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (*.f64 x (*.f64 (sqrt.f64 x) #s(literal -3/4 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* 1/2 (sqrt (pow x 3))) (* 1/2 (- (* 1/4 (sqrt x)) (sqrt x)))))) (pow x 4))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (*.f64 x (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/4 binary64)) (sqrt.f64 (*.f64 x (*.f64 x x))))))) (*.f64 (*.f64 x x) (*.f64 x x)))
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(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(- (* -1 (/ (- 1/2 (* 1/8 (/ 1 x))) x)) 2)
(+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))
(- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/8 (* 1/16 (/ 1 x))) x))) x)) 2)
(+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)) x))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(/ (+ (sqrt x) (* 1/4 (sqrt (pow x 3)))) (pow x 2))
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))) (*.f64 x x))
(/ (+ (sqrt x) (* 1/4 (sqrt (pow x 3)))) (pow x 2))
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))) (*.f64 x x))
(/ (+ (sqrt x) (* 1/4 (sqrt (pow x 3)))) (pow x 2))
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))) (*.f64 x x))
(* 1/4 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (sqrt (/ 1 (pow x 3))) (* 1/4 (sqrt (/ 1 x))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+ (sqrt (/ 1 (pow x 3))) (* 1/4 (sqrt (/ 1 x))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+ (sqrt (/ 1 (pow x 3))) (* 1/4 (sqrt (/ 1 x))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(sqrt x)
(sqrt.f64 x)
(+ x (sqrt x))
(+.f64 x (sqrt.f64 x))
(+ (sqrt x) (* x (+ 1 (* 1/2 (sqrt x)))))
(+.f64 x (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(+ (sqrt x) (* x (+ 1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))))
(+.f64 x (+.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 2 binary64)))
(* x (- (+ 2 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))
(* x (- (+ 2 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))
(+.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x))))
-1/2
#s(literal -1/2 binary64)
(- (* 1/8 (/ 1 x)) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))
(- (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x)) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x))
(- (* -1 (/ (- (* -1 (/ (- (* 5/128 (/ 1 x)) 1/16) x)) 1/8) x)) 1/2)
(-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 5/128 binary64) x) #s(literal -1/16 binary64)) x)) x))

eval225.0ms (2%)

Memory
1.9MiB live, 352.0MiB allocated
Compiler

Compiled 42 256 to 4 831 computations (88.6% saved)

prune223.0ms (1.9%)

Memory
9.6MiB live, 364.0MiB allocated
Pruning

22 alts after pruning (20 fresh and 2 done)

PrunedKeptTotal
New1 540191 559
Fresh9110
Picked325
Done000
Total1 552221 574
Accuracy
100.0%
Counts
1 574 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.8%
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64))
37.8%
(pow.f64 (*.f64 x x) #s(literal -1/4 binary64))
5.6%
(pow.f64 x #s(literal -1/2 binary64))
84.9%
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 x (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
98.0%
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) x) x)
83.0%
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) x) x)) (+.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))))
97.9%
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) x)
96.5%
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) x)) (*.f64 x (+.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64)))))
83.0%
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 x x))
5.6%
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
39.1%
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
34.4%
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) x)
40.9%
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x))))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
40.4%
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (+.f64 #s(literal 1/2 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
40.7%
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
99.3%
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
99.1%
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
99.5%
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) (/.f64 #s(literal -5/128 binary64) (*.f64 x (*.f64 x x))))) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
98.0%
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
82.9%
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
66.9%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
5.6%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 573 to 393 computations (31.4% saved)

simplify262.0ms (2.3%)

Memory
-15.2MiB live, 380.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)))
cost-diff128
(*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
cost-diff128
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
cost-diff256
(-.f64 (+.f64 #s(literal 1 binary64) x) x)
cost-diff0
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
cost-diff0
(sqrt.f64 x)
cost-diff0
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
cost-diff128
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x x))
cost-diff0
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64))
cost-diff0
(pow.f64 x #s(literal -1/2 binary64))
cost-diff0
(+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) (/.f64 #s(literal -5/128 binary64) (*.f64 x (*.f64 x x))))
cost-diff0
(+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) (/.f64 #s(literal -5/128 binary64) (*.f64 x (*.f64 x x)))))
cost-diff0
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) (/.f64 #s(literal -5/128 binary64) (*.f64 x (*.f64 x x))))) x)
cost-diff128
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) (/.f64 #s(literal -5/128 binary64) (*.f64 x (*.f64 x x))))) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
Rules
5 698×accelerator-lowering-fma.f32
5 698×accelerator-lowering-fma.f64
2 730×/-lowering-/.f32
2 730×/-lowering-/.f64
2 346×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036247
176239
2144236
3283236
4575228
51081228
61789228
74277228
86860228
08081224
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (/ (+ 1/2 (+ (/ (+ -1/8 (/ 1/16 x)) x) (/ -5/128 (* x (* x x))))) x) (pow (+ 1 x) -1/2))
(/ (+ 1/2 (+ (/ (+ -1/8 (/ 1/16 x)) x) (/ -5/128 (* x (* x x))))) x)
(+ 1/2 (+ (/ (+ -1/8 (/ 1/16 x)) x) (/ -5/128 (* x (* x x)))))
1/2
(+ (/ (+ -1/8 (/ 1/16 x)) x) (/ -5/128 (* x (* x x))))
(/ (+ -1/8 (/ 1/16 x)) x)
(+ -1/8 (/ 1/16 x))
-1/8
(/ 1/16 x)
1/16
x
(/ -5/128 (* x (* x x)))
-5/128
(* x (* x x))
(* x x)
(pow (+ 1 x) -1/2)
(+ 1 x)
1
-1/2
(pow x -1/2)
x
-1/2
(pow (/ 1 (* x x)) 1/4)
(/ 1 (* x x))
1
(* x x)
x
1/4
(* (- 0 (sqrt x)) (/ -1/2 (* x x)))
(- 0 (sqrt x))
0
(sqrt x)
x
(/ -1/2 (* x x))
-1/2
(* x x)
(* (/ (- (+ 1 x) x) (+ 1/2 (* (+ 2 (/ -1/8 (* x x))) x))) (pow (+ 1 x) -1/2))
(/ (- (+ 1 x) x) (+ 1/2 (* (+ 2 (/ -1/8 (* x x))) x)))
(- (+ 1 x) x)
(+ 1 x)
1
x
(+ 1/2 (* (+ 2 (/ -1/8 (* x x))) x))
1/2
(* (+ 2 (/ -1/8 (* x x))) x)
(+ 2 (/ -1/8 (* x x)))
2
(/ -1/8 (* x x))
-1/8
(* x x)
(pow (+ 1 x) -1/2)
-1/2
Outputs
(* (/ (+ 1/2 (+ (/ (+ -1/8 (/ 1/16 x)) x) (/ -5/128 (* x (* x x))))) x) (pow (+ 1 x) -1/2))
(*.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -5/128 binary64) x) x))) x)))
(/ (+ 1/2 (+ (/ (+ -1/8 (/ 1/16 x)) x) (/ -5/128 (* x (* x x))))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/16 binary64) x) (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -5/128 binary64) x) x))))) x)
(+ 1/2 (+ (/ (+ -1/8 (/ 1/16 x)) x) (/ -5/128 (* x (* x x)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/16 binary64) x) (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -5/128 binary64) x) x)))))
1/2
#s(literal 1/2 binary64)
(+ (/ (+ -1/8 (/ 1/16 x)) x) (/ -5/128 (* x (* x x))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/16 binary64) x) (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -5/128 binary64) x) x))))
(/ (+ -1/8 (/ 1/16 x)) x)
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)
(+ -1/8 (/ 1/16 x))
(+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))
-1/8
#s(literal -1/8 binary64)
(/ 1/16 x)
(/.f64 #s(literal 1/16 binary64) x)
1/16
#s(literal 1/16 binary64)
x
(/ -5/128 (* x (* x x)))
(/.f64 (/.f64 #s(literal -5/128 binary64) x) (*.f64 x x))
-5/128
#s(literal -5/128 binary64)
(* x (* x x))
(*.f64 x (*.f64 x x))
(* x x)
(*.f64 x x)
(pow (+ 1 x) -1/2)
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
-1/2
#s(literal -1/2 binary64)
(pow x -1/2)
(pow.f64 x #s(literal -1/2 binary64))
x
-1/2
#s(literal -1/2 binary64)
(pow (/ 1 (* x x)) 1/4)
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64))
(/ 1 (* x x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
(* x x)
(*.f64 x x)
x
1/4
#s(literal 1/4 binary64)
(* (- 0 (sqrt x)) (/ -1/2 (* x x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (sqrt.f64 x) x) x))
(- 0 (sqrt x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
0
#s(literal 0 binary64)
(sqrt x)
(sqrt.f64 x)
x
(/ -1/2 (* x x))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
-1/2
#s(literal -1/2 binary64)
(* x x)
(*.f64 x x)
(* (/ (- (+ 1 x) x) (+ 1/2 (* (+ 2 (/ -1/8 (* x x))) x))) (pow (+ 1 x) -1/2))
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x))))
(/ (- (+ 1 x) x) (+ 1/2 (* (+ 2 (/ -1/8 (* x x))) x)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x))))
(- (+ 1 x) x)
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
x
(+ 1/2 (* (+ 2 (/ -1/8 (* x x))) x))
(+.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)))
1/2
#s(literal 1/2 binary64)
(* (+ 2 (/ -1/8 (* x x))) x)
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x))
(+ 2 (/ -1/8 (* x x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))
2
#s(literal 2 binary64)
(/ -1/8 (* x x))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
-1/8
#s(literal -1/8 binary64)
(* x x)
(*.f64 x x)
(pow (+ 1 x) -1/2)
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)

localize226.0ms (2%)

Memory
25.5MiB live, 414.6MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)))
accuracy99.6%
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
accuracy99.5%
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
accuracy7.7%
(-.f64 (+.f64 #s(literal 1 binary64) x) x)
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(sqrt.f64 x)
accuracy99.5%
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
accuracy85.2%
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
accuracy100.0%
(*.f64 x x)
accuracy99.5%
(/.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy53.2%
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64))
accuracy100.0%
(pow.f64 x #s(literal -1/2 binary64))
accuracy100.0%
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) (/.f64 #s(literal -5/128 binary64) (*.f64 x (*.f64 x x))))) x)
accuracy99.8%
(*.f64 x (*.f64 x x))
accuracy99.6%
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) (/.f64 #s(literal -5/128 binary64) (*.f64 x (*.f64 x x))))) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
accuracy99.3%
(/.f64 #s(literal -5/128 binary64) (*.f64 x (*.f64 x x)))
Samples
148.0ms231×1valid
6.0ms25×0valid
Compiler

Compiled 267 to 38 computations (85.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 118.0ms
ival-div: 36.0ms (30.6% of total)
ival-pow: 26.0ms (22.1% of total)
ival-add: 15.0ms (12.7% of total)
adjust: 13.0ms (11% of total)
ival-mult: 13.0ms (11% of total)
ival-sub: 8.0ms (6.8% of total)
ival-sqrt: 4.0ms (3.4% of total)
exact: 2.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series98.0ms (0.9%)

Memory
-29.5MiB live, 110.8MiB allocated
Counts
19 → 228
Calls
Call 1
Inputs
#<alt (* (/ (+ 1/2 (+ (/ (+ -1/8 (/ 1/16 x)) x) (/ -5/128 (* x (* x x))))) x) (pow (+ 1 x) -1/2))>
#<alt (/ (+ 1/2 (+ (/ (+ -1/8 (/ 1/16 x)) x) (/ -5/128 (* x (* x x))))) x)>
#<alt (+ 1/2 (+ (/ (+ -1/8 (/ 1/16 x)) x) (/ -5/128 (* x (* x x)))))>
#<alt (+ (/ (+ -1/8 (/ 1/16 x)) x) (/ -5/128 (* x (* x x))))>
#<alt (pow x -1/2)>
#<alt (pow (/ 1 (* x x)) 1/4)>
#<alt (/ 1 (* x x))>
#<alt (* x x)>
#<alt (* (- 0 (sqrt x)) (/ -1/2 (* x x)))>
#<alt (- 0 (sqrt x))>
#<alt (sqrt x)>
#<alt (/ -1/2 (* x x))>
#<alt (- (+ 1 x) x)>
#<alt (* (/ (- (+ 1 x) x) (+ 1/2 (* (+ 2 (/ -1/8 (* x x))) x))) (pow (+ 1 x) -1/2))>
#<alt (* (+ 2 (/ -1/8 (* x x))) x)>
#<alt (/ (- (+ 1 x) x) (+ 1/2 (* (+ 2 (/ -1/8 (* x x))) x)))>
#<alt (/ -5/128 (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (/ -1/8 (* x x))>
Outputs
#<alt (/ -5/128 (pow x 4))>
#<alt (/ (- (* 21/256 x) 5/128) (pow x 4))>
#<alt (/ (- (* x (+ 21/256 (* -175/1024 x))) 5/128) (pow x 4))>
#<alt (/ (- (* x (+ 21/256 (* x (- (* 1225/2048 x) 175/1024)))) 5/128) (pow x 4))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)>
#<alt (/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) x)>
#<alt (/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) x)>
#<alt (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* -1/4 (sqrt x)) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/16 (sqrt (/ 1 x))) (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))>
#<alt (/ -5/128 (pow x 4))>
#<alt (/ (- (* 1/16 x) 5/128) (pow x 4))>
#<alt (/ (- (* x (+ 1/16 (* -1/8 x))) 5/128) (pow x 4))>
#<alt (/ (- (* x (+ 1/16 (* x (- (* 1/2 x) 1/8)))) 5/128) (pow x 4))>
#<alt (/ 1/2 x)>
#<alt (/ (- 1/2 (* 1/8 (/ 1 x))) x)>
#<alt (/ (- (+ 1/2 (/ 1/16 (pow x 2))) (* 1/8 (/ 1 x))) x)>
#<alt (/ (- (+ 1/2 (/ 1/16 (pow x 2))) (+ (* 1/8 (/ 1 x)) (* 5/128 (/ 1 (pow x 3))))) x)>
#<alt (/ 1/2 x)>
#<alt (* -1 (/ (- (* 1/8 (/ 1 x)) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x)) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 5/128 (/ 1 x)) 1/16) x)) 1/8) x)) 1/2) x))>
#<alt (/ -5/128 (pow x 3))>
#<alt (/ (- (* 1/16 x) 5/128) (pow x 3))>
#<alt (/ (- (* x (+ 1/16 (* -1/8 x))) 5/128) (pow x 3))>
#<alt (/ (- (* x (+ 1/16 (* x (- (* 1/2 x) 1/8)))) 5/128) (pow x 3))>
#<alt 1/2>
#<alt (- 1/2 (* 1/8 (/ 1 x)))>
#<alt (- (+ 1/2 (/ 1/16 (pow x 2))) (* 1/8 (/ 1 x)))>
#<alt (- (+ 1/2 (/ 1/16 (pow x 2))) (+ (* 1/8 (/ 1 x)) (* 5/128 (/ 1 (pow x 3)))))>
#<alt 1/2>
#<alt (- 1/2 (* 1/8 (/ 1 x)))>
#<alt (+ 1/2 (* -1 (/ (- 1/8 (* 1/16 (/ 1 x))) x)))>
#<alt (+ 1/2 (* -1 (/ (+ 1/8 (* -1 (/ (- 1/16 (* 5/128 (/ 1 x))) x))) x)))>
#<alt (/ -5/128 (pow x 3))>
#<alt (/ (- (* 1/16 x) 5/128) (pow x 3))>
#<alt (/ (- (* x (+ 1/16 (* -1/8 x))) 5/128) (pow x 3))>
#<alt (/ (- (* x (+ 1/16 (* -1/8 x))) 5/128) (pow x 3))>
#<alt (/ -1/8 x)>
#<alt (/ (- (* 1/16 (/ 1 x)) 1/8) x)>
#<alt (/ (- (* 1/16 (/ 1 x)) (+ 1/8 (/ 5/128 (pow x 2)))) x)>
#<alt (/ (- (* 1/16 (/ 1 x)) (+ 1/8 (/ 5/128 (pow x 2)))) x)>
#<alt (/ -1/8 x)>
#<alt (* -1 (/ (- 1/8 (* 1/16 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1/8 (* -1 (/ (- 1/16 (* 5/128 (/ 1 x))) x))) x))>
#<alt (* -1 (/ (+ 1/8 (* -1 (/ (- 1/16 (* 5/128 (/ 1 x))) x))) x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (* (sqrt (/ 1 x)) (sqrt -1))>
#<alt (* (sqrt (/ 1 x)) (sqrt -1))>
#<alt (* (sqrt (/ 1 x)) (sqrt -1))>
#<alt (* (sqrt (/ 1 x)) (sqrt -1))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1 (sqrt x))>
#<alt (* -1 (sqrt x))>
#<alt (* -1 (sqrt x))>
#<alt (* -1 (sqrt x))>
#<alt (* -1 (sqrt x))>
#<alt (* -1 (sqrt x))>
#<alt (* -1 (sqrt x))>
#<alt (* -1 (sqrt x))>
#<alt (* (sqrt x) (pow (sqrt -1) 2))>
#<alt (* (sqrt x) (pow (sqrt -1) 2))>
#<alt (* (sqrt x) (pow (sqrt -1) 2))>
#<alt (* (sqrt x) (pow (sqrt -1) 2))>
#<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 (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt (* -8 x)>
#<alt (* x (- (* -28 x) 8))>
#<alt (* x (- (* x (- (* -243 x) 28)) 8))>
#<alt (* x (- (* x (- (* x (- (* -2835/2 x) 243)) 28)) 8))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)>
#<alt (/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) x)>
#<alt (/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -3/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) x)>
#<alt (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/4 (sqrt x))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -3/128 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/16 (sqrt x)) (* 1/4 (sqrt x)))) x)) (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/4 (sqrt x)))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))>
#<alt (/ -1/8 x)>
#<alt (/ (- (* 2 (pow x 2)) 1/8) x)>
#<alt (/ (- (* 2 (pow x 2)) 1/8) x)>
#<alt (/ (- (* 2 (pow x 2)) 1/8) x)>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* x (- 2 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* x (- 2 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 2))) 2)))>
#<alt (* -8 x)>
#<alt (* x (- (* -32 x) 8))>
#<alt (* x (- (* x (- (* -256 x) 32)) 8))>
#<alt (* x (- (* x (- (* x (- (* -1536 x) 256)) 32)) 8))>
#<alt (/ 1/2 x)>
#<alt (/ (- 1/2 (* 1/8 (/ 1 x))) x)>
#<alt (/ (- (+ 1/2 (/ 1/16 (pow x 2))) (* 1/8 (/ 1 x))) x)>
#<alt (/ (- (+ 1/2 (/ 1/16 (pow x 2))) (+ (* 1/8 (/ 1 x)) (* 3/128 (/ 1 (pow x 3))))) x)>
#<alt (/ 1/2 x)>
#<alt (* -1 (/ (- (* 1/8 (/ 1 x)) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x)) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 3/128 (/ 1 x)) 1/16) x)) 1/8) x)) 1/2) x))>
#<alt (/ -5/128 (pow x 3))>
#<alt (/ -5/128 (pow x 3))>
#<alt (/ -5/128 (pow x 3))>
#<alt (/ -5/128 (pow x 3))>
#<alt (/ -5/128 (pow x 3))>
#<alt (/ -5/128 (pow x 3))>
#<alt (/ -5/128 (pow x 3))>
#<alt (/ -5/128 (pow x 3))>
#<alt (/ -5/128 (pow x 3))>
#<alt (/ -5/128 (pow x 3))>
#<alt (/ -5/128 (pow x 3))>
#<alt (/ -5/128 (pow x 3))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
Calls

57 calls:

TimeVariablePointExpression
53.0ms
x
@0
(pow (/ 1 (* x x)) 1/4)
33.0ms
x
@inf
(* (/ (- (+ 1 x) x) (+ 1/2 (* (+ 2 (/ -1/8 (* x x))) x))) (pow (+ 1 x) -1/2))
3.0ms
x
@-inf
(* (/ (+ 1/2 (+ (/ (+ -1/8 (/ 1/16 x)) x) (/ -5/128 (* x (* x x))))) x) (pow (+ 1 x) -1/2))
1.0ms
x
@inf
(* (+ 2 (/ -1/8 (* x x))) x)
1.0ms
x
@-inf
(* (/ (- (+ 1 x) x) (+ 1/2 (* (+ 2 (/ -1/8 (* x x))) x))) (pow (+ 1 x) -1/2))

rewrite407.0ms (3.5%)

Memory
9.6MiB live, 553.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 942×/-lowering-/.f32
4 942×/-lowering-/.f64
4 124×accelerator-lowering-fma.f32
4 124×accelerator-lowering-fma.f64
3 880×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036168
1245154
22390153
08848144
Stop Event
iter limit
node limit
Counts
19 → 799
Calls
Call 1
Inputs
(* (/ (+ 1/2 (+ (/ (+ -1/8 (/ 1/16 x)) x) (/ -5/128 (* x (* x x))))) x) (pow (+ 1 x) -1/2))
(/ (+ 1/2 (+ (/ (+ -1/8 (/ 1/16 x)) x) (/ -5/128 (* x (* x x))))) x)
(+ 1/2 (+ (/ (+ -1/8 (/ 1/16 x)) x) (/ -5/128 (* x (* x x)))))
(+ (/ (+ -1/8 (/ 1/16 x)) x) (/ -5/128 (* x (* x x))))
(pow x -1/2)
(pow (/ 1 (* x x)) 1/4)
(/ 1 (* x x))
(* x x)
(* (- 0 (sqrt x)) (/ -1/2 (* x x)))
(- 0 (sqrt x))
(sqrt x)
(/ -1/2 (* x x))
(- (+ 1 x) x)
(* (/ (- (+ 1 x) x) (+ 1/2 (* (+ 2 (/ -1/8 (* x x))) x))) (pow (+ 1 x) -1/2))
(* (+ 2 (/ -1/8 (* x x))) x)
(/ (- (+ 1 x) x) (+ 1/2 (* (+ 2 (/ -1/8 (* x x))) x)))
(/ -5/128 (* x (* x x)))
(* x (* x x))
(/ -1/8 (* x x))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) (+.f64 (/.f64 #s(literal -5/128 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/2 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) (+.f64 (/.f64 #s(literal -5/128 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) (+.f64 (/.f64 #s(literal -5/128 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/2 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))))))
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(/.f64 (/.f64 #s(literal -1/8 binary64) x) x)
(/.f64 (neg.f64 (/.f64 #s(literal -1/8 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal -1/8 binary64) x))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(pow.f64 (/.f64 (*.f64 x x) #s(literal -1/8 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal -1/8 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal -1/8 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1/8 binary64))
(*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/8 binary64) x))
(*.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))

simplify561.0ms (4.9%)

Memory
21.1MiB live, 812.2MiB allocated
Algorithm
egg-herbie
Rules
19 368×accelerator-lowering-fma.f32
19 368×accelerator-lowering-fma.f64
4 276×*-lowering-*.f32
4 276×*-lowering-*.f64
3 680×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02841804
17321590
219251576
347941537
085341470
Stop Event
iter limit
node limit
Counts
228 → 228
Calls
Call 1
Inputs
(/ -5/128 (pow x 4))
(/ (- (* 21/256 x) 5/128) (pow x 4))
(/ (- (* x (+ 21/256 (* -175/1024 x))) 5/128) (pow x 4))
(/ (- (* x (+ 21/256 (* x (- (* 1225/2048 x) 175/1024)))) 5/128) (pow x 4))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) x)
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) x)
(* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* -1/4 (sqrt x)) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/16 (sqrt (/ 1 x))) (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(/ -5/128 (pow x 4))
(/ (- (* 1/16 x) 5/128) (pow x 4))
(/ (- (* x (+ 1/16 (* -1/8 x))) 5/128) (pow x 4))
(/ (- (* x (+ 1/16 (* x (- (* 1/2 x) 1/8)))) 5/128) (pow x 4))
(/ 1/2 x)
(/ (- 1/2 (* 1/8 (/ 1 x))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 2))) (* 1/8 (/ 1 x))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 2))) (+ (* 1/8 (/ 1 x)) (* 5/128 (/ 1 (pow x 3))))) x)
(/ 1/2 x)
(* -1 (/ (- (* 1/8 (/ 1 x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 5/128 (/ 1 x)) 1/16) x)) 1/8) x)) 1/2) x))
(/ -5/128 (pow x 3))
(/ (- (* 1/16 x) 5/128) (pow x 3))
(/ (- (* x (+ 1/16 (* -1/8 x))) 5/128) (pow x 3))
(/ (- (* x (+ 1/16 (* x (- (* 1/2 x) 1/8)))) 5/128) (pow x 3))
1/2
(- 1/2 (* 1/8 (/ 1 x)))
(- (+ 1/2 (/ 1/16 (pow x 2))) (* 1/8 (/ 1 x)))
(- (+ 1/2 (/ 1/16 (pow x 2))) (+ (* 1/8 (/ 1 x)) (* 5/128 (/ 1 (pow x 3)))))
1/2
(- 1/2 (* 1/8 (/ 1 x)))
(+ 1/2 (* -1 (/ (- 1/8 (* 1/16 (/ 1 x))) x)))
(+ 1/2 (* -1 (/ (+ 1/8 (* -1 (/ (- 1/16 (* 5/128 (/ 1 x))) x))) x)))
(/ -5/128 (pow x 3))
(/ (- (* 1/16 x) 5/128) (pow x 3))
(/ (- (* x (+ 1/16 (* -1/8 x))) 5/128) (pow x 3))
(/ (- (* x (+ 1/16 (* -1/8 x))) 5/128) (pow x 3))
(/ -1/8 x)
(/ (- (* 1/16 (/ 1 x)) 1/8) x)
(/ (- (* 1/16 (/ 1 x)) (+ 1/8 (/ 5/128 (pow x 2)))) x)
(/ (- (* 1/16 (/ 1 x)) (+ 1/8 (/ 5/128 (pow x 2)))) x)
(/ -1/8 x)
(* -1 (/ (- 1/8 (* 1/16 (/ 1 x))) x))
(* -1 (/ (+ 1/8 (* -1 (/ (- 1/16 (* 5/128 (/ 1 x))) x))) x))
(* -1 (/ (+ 1/8 (* -1 (/ (- 1/16 (* 5/128 (/ 1 x))) x))) x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* (sqrt (/ 1 x)) (sqrt -1))
(* (sqrt (/ 1 x)) (sqrt -1))
(* (sqrt (/ 1 x)) (sqrt -1))
(* (sqrt (/ 1 x)) (sqrt -1))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (sqrt x))
(* -1 (sqrt x))
(* -1 (sqrt x))
(* -1 (sqrt x))
(* -1 (sqrt x))
(* -1 (sqrt x))
(* -1 (sqrt x))
(* -1 (sqrt x))
(* (sqrt x) (pow (sqrt -1) 2))
(* (sqrt x) (pow (sqrt -1) 2))
(* (sqrt x) (pow (sqrt -1) 2))
(* (sqrt x) (pow (sqrt -1) 2))
(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)))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
1
1
1
1
1
1
1
1
1
1
1
1
(* -8 x)
(* x (- (* -28 x) 8))
(* x (- (* x (- (* -243 x) 28)) 8))
(* x (- (* x (- (* x (- (* -2835/2 x) 243)) 28)) 8))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) x)
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -3/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) x)
(* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/4 (sqrt x))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -3/128 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/16 (sqrt x)) (* 1/4 (sqrt x)))) x)) (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/4 (sqrt x)))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(/ -1/8 x)
(/ (- (* 2 (pow x 2)) 1/8) x)
(/ (- (* 2 (pow x 2)) 1/8) x)
(/ (- (* 2 (pow x 2)) 1/8) x)
(* 2 x)
(* x (- 2 (* 1/8 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/8 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/8 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/8 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/8 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/8 (/ 1 (pow x 2))) 2)))
(* -8 x)
(* x (- (* -32 x) 8))
(* x (- (* x (- (* -256 x) 32)) 8))
(* x (- (* x (- (* x (- (* -1536 x) 256)) 32)) 8))
(/ 1/2 x)
(/ (- 1/2 (* 1/8 (/ 1 x))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 2))) (* 1/8 (/ 1 x))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 2))) (+ (* 1/8 (/ 1 x)) (* 3/128 (/ 1 (pow x 3))))) x)
(/ 1/2 x)
(* -1 (/ (- (* 1/8 (/ 1 x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 3/128 (/ 1 x)) 1/16) x)) 1/8) x)) 1/2) x))
(/ -5/128 (pow x 3))
(/ -5/128 (pow x 3))
(/ -5/128 (pow x 3))
(/ -5/128 (pow x 3))
(/ -5/128 (pow x 3))
(/ -5/128 (pow x 3))
(/ -5/128 (pow x 3))
(/ -5/128 (pow x 3))
(/ -5/128 (pow x 3))
(/ -5/128 (pow x 3))
(/ -5/128 (pow x 3))
(/ -5/128 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
Outputs
(/ -5/128 (pow x 4))
(/.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ (- (* 21/256 x) 5/128) (pow x 4))
(/.f64 (+.f64 #s(literal -5/128 binary64) (*.f64 x #s(literal 21/256 binary64))) (pow.f64 x #s(literal 4 binary64)))
(/ (- (* x (+ 21/256 (* -175/1024 x))) 5/128) (pow x 4))
(/.f64 (+.f64 #s(literal -5/128 binary64) (*.f64 x (+.f64 #s(literal 21/256 binary64) (*.f64 x #s(literal -175/1024 binary64))))) (pow.f64 x #s(literal 4 binary64)))
(/ (- (* x (+ 21/256 (* x (- (* 1225/2048 x) 175/1024)))) 5/128) (pow x 4))
(/.f64 (+.f64 #s(literal -5/128 binary64) (*.f64 x (+.f64 #s(literal 21/256 binary64) (*.f64 x (+.f64 #s(literal -175/1024 binary64) (*.f64 x #s(literal 1225/2048 binary64))))))) (pow.f64 x #s(literal 4 binary64)))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)))
(/ (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal -1/8 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal -3/8 binary64)))) x)
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) x)
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 3/8 binary64))) (+.f64 (*.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal -3/8 binary64)))) x)
(* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal -1/2 binary64))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) x)
(* -1 (/ (+ (* -1 (/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(/.f64 (+.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal -1/16 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64))) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) x)
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* -1/4 (sqrt x)) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/16 (sqrt (/ 1 x))) (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(/.f64 (+.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)) (/.f64 (+.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64))) (+.f64 (*.f64 #s(literal 5/128 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5/16 binary64)))) x)) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) x)
(/ -5/128 (pow x 4))
(/.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ (- (* 1/16 x) 5/128) (pow x 4))
(/.f64 (+.f64 #s(literal -5/128 binary64) (*.f64 x #s(literal 1/16 binary64))) (pow.f64 x #s(literal 4 binary64)))
(/ (- (* x (+ 1/16 (* -1/8 x))) 5/128) (pow x 4))
(/.f64 (+.f64 #s(literal -5/128 binary64) (*.f64 x (+.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal -1/8 binary64))))) (pow.f64 x #s(literal 4 binary64)))
(/ (- (* x (+ 1/16 (* x (- (* 1/2 x) 1/8)))) 5/128) (pow x 4))
(/.f64 (+.f64 #s(literal -5/128 binary64) (*.f64 x (+.f64 #s(literal 1/16 binary64) (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (pow.f64 x #s(literal 4 binary64)))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (- 1/2 (* 1/8 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 2))) (* 1/8 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 2))) (+ (* 1/8 (/ 1 x)) (* 5/128 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(* -1 (/ (- (* 1/8 (/ 1 x)) 1/2) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x)) 1/2) x))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 5/128 (/ 1 x)) 1/16) x)) 1/8) x)) 1/2) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x)) x)
(/ -5/128 (pow x 3))
(/.f64 #s(literal -5/128 binary64) (*.f64 x (*.f64 x x)))
(/ (- (* 1/16 x) 5/128) (pow x 3))
(/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -5/128 binary64) x)) (*.f64 x x))
(/ (- (* x (+ 1/16 (* -1/8 x))) 5/128) (pow x 3))
(/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x)
(/ (- (* x (+ 1/16 (* x (- (* 1/2 x) 1/8)))) 5/128) (pow x 3))
(/.f64 (+.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal -5/128 binary64) x)) (*.f64 x x))
1/2
#s(literal 1/2 binary64)
(- 1/2 (* 1/8 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x))
(- (+ 1/2 (/ 1/16 (pow x 2))) (* 1/8 (/ 1 x)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x))
(- (+ 1/2 (/ 1/16 (pow x 2))) (+ (* 1/8 (/ 1 x)) (* 5/128 (/ 1 (pow x 3)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x))
1/2
#s(literal 1/2 binary64)
(- 1/2 (* 1/8 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x))
(+ 1/2 (* -1 (/ (- 1/8 (* 1/16 (/ 1 x))) x)))
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(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))

eval164.0ms (1.4%)

Memory
7.6MiB live, 272.5MiB allocated
Compiler

Compiled 29 524 to 3 362 computations (88.6% saved)

prune139.0ms (1.2%)

Memory
10.0MiB live, 328.9MiB allocated
Pruning

23 alts after pruning (20 fresh and 3 done)

PrunedKeptTotal
New1 117121 129
Fresh7815
Picked415
Done022
Total1 128231 151
Accuracy
100.0%
Counts
1 151 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.6%
(pow.f64 x #s(literal -1/2 binary64))
99.5%
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))) #s(literal 1 binary64)))
84.9%
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 x (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
82.9%
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x)) (sqrt.f64 x))
97.8%
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) x)
96.5%
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal 0 binary64) x)) (pow.f64 x #s(literal 3/2 binary64)))
76.0%
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)))
83.0%
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 x x))
5.6%
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
36.2%
(/.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal 4 binary64)))
39.1%
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
99.4%
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))))))
34.4%
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) x)
50.3%
(*.f64 (/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal -5/128 binary64) x)) (*.f64 x x)) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
40.9%
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x))))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
40.4%
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (+.f64 #s(literal 1/2 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
99.3%
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
99.5%
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x)) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
99.1%
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
82.9%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 x))
98.0%
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
1.8%
(*.f64 x #s(literal -8 binary64))
5.6%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 575 to 416 computations (27.7% saved)

simplify241.0ms (2.1%)

Memory
39.1MiB live, 464.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)
cost-diff0
(-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x))
cost-diff0
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)) x)
cost-diff0
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
cost-diff0
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
cost-diff0
(/.f64 #s(literal -1/2 binary64) x)
cost-diff0
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) x)
cost-diff128
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
cost-diff0
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 x))
cost-diff0
(*.f64 x #s(literal -8 binary64))
cost-diff0
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))
cost-diff0
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))) #s(literal 1 binary64)))
cost-diff128
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
cost-diff128
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))) #s(literal 1 binary64))
Rules
6 026×accelerator-lowering-fma.f32
6 026×accelerator-lowering-fma.f64
2 964×*-lowering-*.f32
2 964×*-lowering-*.f64
2 040×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035194
174194
2152193
3267185
4496185
51006185
61903185
74431185
86721185
08230181
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (pow (+ x 1) -1/2) (/ (+ 1/2 (* x (+ 2 (/ -1/8 (* x x))))) 1))
(pow (+ x 1) -1/2)
(+ x 1)
x
1
-1/2
(/ (+ 1/2 (* x (+ 2 (/ -1/8 (* x x))))) 1)
(+ 1/2 (* x (+ 2 (/ -1/8 (* x x)))))
1/2
(* x (+ 2 (/ -1/8 (* x x))))
(+ 2 (/ -1/8 (* x x)))
2
(/ -1/8 (* x x))
-1/8
(* x x)
(* x -8)
x
-8
(* (/ 1/2 (* x x)) (sqrt x))
(/ 1/2 (* x x))
1/2
(* x x)
x
(sqrt x)
(/ (* (/ -1/2 x) (- 0 (sqrt x))) x)
(* (/ -1/2 x) (- 0 (sqrt x)))
(/ -1/2 x)
-1/2
x
(- 0 (sqrt x))
0
(sqrt x)
(* (/ (- 1/2 (/ (+ 1/8 (/ -1/16 x)) x)) x) (pow (+ 1 x) -1/2))
(/ (- 1/2 (/ (+ 1/8 (/ -1/16 x)) x)) x)
(- 1/2 (/ (+ 1/8 (/ -1/16 x)) x))
1/2
(/ (+ 1/8 (/ -1/16 x)) x)
(+ 1/8 (/ -1/16 x))
1/8
(/ -1/16 x)
-1/16
x
(pow (+ 1 x) -1/2)
(+ 1 x)
1
-1/2
Outputs
(/ (pow (+ x 1) -1/2) (/ (+ 1/2 (* x (+ 2 (/ -1/8 (* x x))))) 1))
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x))))
(pow (+ x 1) -1/2)
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
1
#s(literal 1 binary64)
-1/2
#s(literal -1/2 binary64)
(/ (+ 1/2 (* x (+ 2 (/ -1/8 (* x x))))) 1)
(+.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)))
(+ 1/2 (* x (+ 2 (/ -1/8 (* x x)))))
(+.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)))
1/2
#s(literal 1/2 binary64)
(* x (+ 2 (/ -1/8 (* x x))))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x))
(+ 2 (/ -1/8 (* x x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))
2
#s(literal 2 binary64)
(/ -1/8 (* x x))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
-1/8
#s(literal -1/8 binary64)
(* x x)
(*.f64 x x)
(* x -8)
(*.f64 x #s(literal -8 binary64))
x
-8
#s(literal -8 binary64)
(* (/ 1/2 (* x x)) (sqrt x))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) x)
(/ 1/2 (* x x))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
1/2
#s(literal 1/2 binary64)
(* x x)
(*.f64 x x)
x
(sqrt x)
(sqrt.f64 x)
(/ (* (/ -1/2 x) (- 0 (sqrt x))) x)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) x)
(* (/ -1/2 x) (- 0 (sqrt x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
-1/2
#s(literal -1/2 binary64)
x
(- 0 (sqrt x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
0
#s(literal 0 binary64)
(sqrt x)
(sqrt.f64 x)
(* (/ (- 1/2 (/ (+ 1/8 (/ -1/16 x)) x)) x) (pow (+ 1 x) -1/2))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) x))
(/ (- 1/2 (/ (+ 1/8 (/ -1/16 x)) x)) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)) x)
(- 1/2 (/ (+ 1/8 (/ -1/16 x)) x))
(-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x))
1/2
#s(literal 1/2 binary64)
(/ (+ 1/8 (/ -1/16 x)) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)
(+ 1/8 (/ -1/16 x))
(+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x))
1/8
#s(literal 1/8 binary64)
(/ -1/16 x)
(/.f64 #s(literal -1/16 binary64) x)
-1/16
#s(literal -1/16 binary64)
x
(pow (+ 1 x) -1/2)
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
-1/2
#s(literal -1/2 binary64)

localize192.0ms (1.7%)

Memory
-35.2MiB live, 192.4MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
accuracy100.0%
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)
accuracy100.0%
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)) x)
accuracy99.6%
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
accuracy100.0%
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
accuracy100.0%
(sqrt.f64 x)
accuracy99.8%
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) x)
accuracy99.4%
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(sqrt.f64 x)
accuracy99.5%
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
accuracy85.2%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 x))
accuracy100.0%
(*.f64 x #s(literal -8 binary64))
accuracy100.0%
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))
accuracy100.0%
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
accuracy99.8%
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))) #s(literal 1 binary64)))
accuracy99.5%
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
Samples
122.0ms256×0valid
Compiler

Compiled 204 to 37 computations (81.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-div: 14.0ms (30.8% of total)
ival-pow: 10.0ms (22% of total)
ival-mult: 9.0ms (19.8% of total)
ival-add: 7.0ms (15.4% of total)
ival-sub: 2.0ms (4.4% of total)
ival-sqrt: 2.0ms (4.4% of total)
exact: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory
-25.6MiB live, 12.3MiB allocated
Counts
19 → 228
Calls
Call 1
Inputs
#<alt (/ (+ 1/2 (* x (+ 2 (/ -1/8 (* x x))))) 1)>
#<alt (* x (+ 2 (/ -1/8 (* x x))))>
#<alt (/ (pow (+ x 1) -1/2) (/ (+ 1/2 (* x (+ 2 (/ -1/8 (* x x))))) 1))>
#<alt (pow (+ x 1) -1/2)>
#<alt (* x -8)>
#<alt (* (/ 1/2 (* x x)) (sqrt x))>
#<alt (/ 1/2 (* x x))>
#<alt (* x x)>
#<alt (sqrt x)>
#<alt (* (/ -1/2 x) (- 0 (sqrt x)))>
#<alt (/ (* (/ -1/2 x) (- 0 (sqrt x))) x)>
#<alt (/ -1/2 x)>
#<alt (- 0 (sqrt x))>
#<alt (* (/ (- 1/2 (/ (+ 1/8 (/ -1/16 x)) x)) x) (pow (+ 1 x) -1/2))>
#<alt (/ (- 1/2 (/ (+ 1/8 (/ -1/16 x)) x)) x)>
#<alt (- 1/2 (/ (+ 1/8 (/ -1/16 x)) x))>
#<alt (/ (+ 1/8 (/ -1/16 x)) x)>
#<alt (/ -1/8 (* x x))>
#<alt (pow (+ 1 x) -1/2)>
Outputs
#<alt (/ -1/8 x)>
#<alt (/ (- (* 1/2 x) 1/8) x)>
#<alt (/ (- (* x (+ 1/2 (* 2 x))) 1/8) x)>
#<alt (/ (- (* x (+ 1/2 (* 2 x))) 1/8) x)>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/2 (/ 1 x))))>
#<alt (* x (- (+ 2 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))>
#<alt (* x (- (+ 2 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/2 (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 x))) x)) 2)))>
#<alt (* -1 (* x (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 x))) x)) 2)))>
#<alt (/ -1/8 x)>
#<alt (/ (- (* 2 (pow x 2)) 1/8) x)>
#<alt (/ (- (* 2 (pow x 2)) 1/8) x)>
#<alt (/ (- (* 2 (pow x 2)) 1/8) x)>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* x (- 2 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* x (- 2 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 2))) 2)))>
#<alt (* -8 x)>
#<alt (* x (- (* -28 x) 8))>
#<alt (* x (- (* x (- (* -243 x) 28)) 8))>
#<alt (* x (- (* x (- (* x (- (* -2835/2 x) 243)) 28)) 8))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)>
#<alt (/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) x)>
#<alt (/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -3/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) x)>
#<alt (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/4 (sqrt x))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -3/128 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/16 (sqrt x)) (* 1/4 (sqrt x)))) x)) (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/4 (sqrt x)))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 3/8 x) 1/2)))>
#<alt (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))>
#<alt (sqrt (/ 1 x))>
#<alt (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))>
#<alt (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))>
#<alt (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (* -8 x)>
#<alt (* -8 x)>
#<alt (* -8 x)>
#<alt (* -8 x)>
#<alt (* -8 x)>
#<alt (* -8 x)>
#<alt (* -8 x)>
#<alt (* -8 x)>
#<alt (* -8 x)>
#<alt (* -8 x)>
#<alt (* -8 x)>
#<alt (* -8 x)>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (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 (* 1/2 (sqrt (/ 1 x)))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 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)>
#<alt (* -1 (sqrt x))>
#<alt (* -1 (sqrt x))>
#<alt (* -1 (sqrt x))>
#<alt (* -1 (sqrt x))>
#<alt (* -1 (sqrt x))>
#<alt (* -1 (sqrt x))>
#<alt (* -1 (sqrt x))>
#<alt (* -1 (sqrt x))>
#<alt (* (sqrt x) (pow (sqrt -1) 2))>
#<alt (* (sqrt x) (pow (sqrt -1) 2))>
#<alt (* (sqrt x) (pow (sqrt -1) 2))>
#<alt (* (sqrt x) (pow (sqrt -1) 2))>
#<alt (/ 1/16 (pow x 3))>
#<alt (/ (+ 1/16 (* -5/32 x)) (pow x 3))>
#<alt (/ (+ 1/16 (* x (- (* 75/128 x) 5/32))) (pow x 3))>
#<alt (/ (+ 1/16 (* x (- (* x (+ 75/128 (* -81/256 x))) 5/32))) (pow x 3))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)>
#<alt (/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) x)>
#<alt (/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) x)>
#<alt (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* -1/4 (sqrt x)) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/4 (sqrt (/ 1 x))) (* -1/16 (sqrt (/ 1 x))))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))>
#<alt (/ 1/16 (pow x 3))>
#<alt (/ (+ 1/16 (* -1/8 x)) (pow x 3))>
#<alt (/ (+ 1/16 (* x (- (* 1/2 x) 1/8))) (pow x 3))>
#<alt (/ (+ 1/16 (* x (- (* 1/2 x) 1/8))) (pow x 3))>
#<alt (/ 1/2 x)>
#<alt (/ (- 1/2 (* 1/8 (/ 1 x))) x)>
#<alt (/ (- (+ 1/2 (/ 1/16 (pow x 2))) (* 1/8 (/ 1 x))) x)>
#<alt (/ (- (+ 1/2 (/ 1/16 (pow x 2))) (* 1/8 (/ 1 x))) x)>
#<alt (/ 1/2 x)>
#<alt (* -1 (/ (- (* 1/8 (/ 1 x)) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x)) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x)) 1/2) x))>
#<alt (/ 1/16 (pow x 2))>
#<alt (/ (+ 1/16 (* -1/8 x)) (pow x 2))>
#<alt (/ (+ 1/16 (* x (- (* 1/2 x) 1/8))) (pow x 2))>
#<alt (/ (+ 1/16 (* x (- (* 1/2 x) 1/8))) (pow x 2))>
#<alt 1/2>
#<alt (- 1/2 (* 1/8 (/ 1 x)))>
#<alt (- (+ 1/2 (/ 1/16 (pow x 2))) (* 1/8 (/ 1 x)))>
#<alt (- (+ 1/2 (/ 1/16 (pow x 2))) (* 1/8 (/ 1 x)))>
#<alt 1/2>
#<alt (- 1/2 (* 1/8 (/ 1 x)))>
#<alt (+ 1/2 (* -1 (/ (- 1/8 (* 1/16 (/ 1 x))) x)))>
#<alt (+ 1/2 (* -1 (/ (- 1/8 (* 1/16 (/ 1 x))) x)))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ (- (* 1/8 x) 1/16) (pow x 2))>
#<alt (/ (- (* 1/8 x) 1/16) (pow x 2))>
#<alt (/ (- (* 1/8 x) 1/16) (pow x 2))>
#<alt (/ 1/8 x)>
#<alt (/ (- 1/8 (* 1/16 (/ 1 x))) x)>
#<alt (/ (- 1/8 (* 1/16 (/ 1 x))) x)>
#<alt (/ (- 1/8 (* 1/16 (/ 1 x))) x)>
#<alt (/ 1/8 x)>
#<alt (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x))>
#<alt (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x))>
#<alt (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 3/8 x) 1/2)))>
#<alt (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))>
#<alt (sqrt (/ 1 x))>
#<alt (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))>
#<alt (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))>
#<alt (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
Calls

57 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(* (/ (- 1/2 (/ (+ 1/8 (/ -1/16 x)) x)) x) (pow (+ 1 x) -1/2))
0.0ms
x
@inf
(* (/ (- 1/2 (/ (+ 1/8 (/ -1/16 x)) x)) x) (pow (+ 1 x) -1/2))
0.0ms
x
@inf
(* x -8)
0.0ms
x
@0
(/ (+ 1/8 (/ -1/16 x)) x)
0.0ms
x
@0
(/ 1/2 (* x x))

rewrite357.0ms (3.1%)

Memory
10.9MiB live, 607.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 708×/-lowering-/.f32
4 708×/-lowering-/.f64
4 148×*-lowering-*.f32
4 148×*-lowering-*.f64
3 076×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035138
1230138
21829125
08302122
Stop Event
iter limit
node limit
Counts
19 → 859
Calls
Call 1
Inputs
(/ (+ 1/2 (* x (+ 2 (/ -1/8 (* x x))))) 1)
(* x (+ 2 (/ -1/8 (* x x))))
(/ (pow (+ x 1) -1/2) (/ (+ 1/2 (* x (+ 2 (/ -1/8 (* x x))))) 1))
(pow (+ x 1) -1/2)
(* x -8)
(* (/ 1/2 (* x x)) (sqrt x))
(/ 1/2 (* x x))
(* x x)
(sqrt x)
(* (/ -1/2 x) (- 0 (sqrt x)))
(/ (* (/ -1/2 x) (- 0 (sqrt x))) x)
(/ -1/2 x)
(- 0 (sqrt x))
(* (/ (- 1/2 (/ (+ 1/8 (/ -1/16 x)) x)) x) (pow (+ 1 x) -1/2))
(/ (- 1/2 (/ (+ 1/8 (/ -1/16 x)) x)) x)
(- 1/2 (/ (+ 1/8 (/ -1/16 x)) x))
(/ (+ 1/8 (/ -1/16 x)) x)
(/ -1/8 (* x x))
(pow (+ 1 x) -1/2)
Outputs
(+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x)))
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x)) #s(literal 1/2 binary64))
(+.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/2 binary64) (neg.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x)))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x)))) (/.f64 (*.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x)) (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x))) (-.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x)))))
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x)))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x)) (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x))) (-.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x)))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x))))) (/.f64 (*.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x)) (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x))))))
(-.f64 (/.f64 (*.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x)) (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x))) (-.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x)) #s(literal 1/2 binary64))))
(fma.f64 x #s(literal 2 binary64) (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)))
(fma.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -1/8 binary64) x) x)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 2 binary64) x (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)))
(fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -1/8 binary64) x) x)) x #s(literal 1/2 binary64))
(neg.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x)) (-.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x)) (*.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x)) (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x))) (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x)) (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x)))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x)) (-.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x)) (*.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x)) (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x))) (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x)) (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x)))))))
(/.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x)))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x)) (*.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x)) (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x)) (-.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x)) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x)) (*.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x)) (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x))))) (+.f64 (*.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x)) (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x))))))
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(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x))))
(*.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1/512 binary64) (/.f64 #s(literal -1/4096 binary64) (*.f64 x (*.f64 x x)))) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64)) (/.f64 x #s(literal -1/16 binary64))))) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (*.f64 x x))) x) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x))) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1/512 binary64) (/.f64 #s(literal -1/4096 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64)) (/.f64 x #s(literal -1/16 binary64))))) x))
(*.f64 (/.f64 (+.f64 #s(literal 1/512 binary64) (/.f64 #s(literal -1/4096 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64)) (/.f64 x #s(literal -1/16 binary64))))) (sqrt.f64 x)))
(*.f64 (/.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x))) x))
(*.f64 (/.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (*.f64 x x))) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x))) (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) #s(literal -1/8 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/.f64 #s(literal -1/8 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal -1/8 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1/8 binary64) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 x x) #s(literal -1/8 binary64)))))
(/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 #s(literal 1/8 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) #s(literal -1/8 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal -1/8 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal -1/8 binary64) x))))
(/.f64 (/.f64 #s(literal -1/8 binary64) x) x)
(/.f64 (neg.f64 (/.f64 #s(literal -1/8 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal -1/8 binary64) x))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(pow.f64 (/.f64 (*.f64 x x) #s(literal -1/8 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal -1/8 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal -1/8 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/8 binary64) x) x))
(*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/8 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/8 binary64))
(*.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log1p.f64 x) #s(literal -1/4 binary64)) (*.f64 (log1p.f64 x) #s(literal -1/4 binary64))))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal -1/4 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log1p.f64 x))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)))

simplify570.0ms (5%)

Memory
43.3MiB live, 886.6MiB allocated
Algorithm
egg-herbie
Rules
20 218×accelerator-lowering-fma.f32
20 218×accelerator-lowering-fma.f64
4 486×*-lowering-*.f32
4 486×*-lowering-*.f64
3 298×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02662054
16621844
217151783
343041737
081521643
Stop Event
iter limit
node limit
Counts
228 → 228
Calls
Call 1
Inputs
(/ -1/8 x)
(/ (- (* 1/2 x) 1/8) x)
(/ (- (* x (+ 1/2 (* 2 x))) 1/8) x)
(/ (- (* x (+ 1/2 (* 2 x))) 1/8) x)
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 x))))
(* x (- (+ 2 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))
(* x (- (+ 2 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 x))))
(* -1 (* x (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 x))) x)) 2)))
(* -1 (* x (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 x))) x)) 2)))
(/ -1/8 x)
(/ (- (* 2 (pow x 2)) 1/8) x)
(/ (- (* 2 (pow x 2)) 1/8) x)
(/ (- (* 2 (pow x 2)) 1/8) x)
(* 2 x)
(* x (- 2 (* 1/8 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/8 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/8 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/8 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/8 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/8 (/ 1 (pow x 2))) 2)))
(* -8 x)
(* x (- (* -28 x) 8))
(* x (- (* x (- (* -243 x) 28)) 8))
(* x (- (* x (- (* x (- (* -2835/2 x) 243)) 28)) 8))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) x)
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -3/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) x)
(* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/4 (sqrt x))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -3/128 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/16 (sqrt x)) (* 1/4 (sqrt x)))) x)) (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/4 (sqrt x)))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 3/8 x) 1/2)))
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))
(sqrt (/ 1 x))
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* -8 x)
(* -8 x)
(* -8 x)
(* -8 x)
(* -8 x)
(* -8 x)
(* -8 x)
(* -8 x)
(* -8 x)
(* -8 x)
(* -8 x)
(* -8 x)
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(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)))
(* 1/2 (sqrt (/ 1 x)))
(* 1/2 (sqrt (/ 1 x)))
(* 1/2 (sqrt (/ 1 x)))
(* 1/2 (sqrt (/ 1 x)))
(* 1/2 (sqrt (/ 1 x)))
(* 1/2 (sqrt (/ 1 x)))
(* 1/2 (sqrt (/ 1 x)))
(* 1/2 (sqrt (/ 1 x)))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 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)
(* -1 (sqrt x))
(* -1 (sqrt x))
(* -1 (sqrt x))
(* -1 (sqrt x))
(* -1 (sqrt x))
(* -1 (sqrt x))
(* -1 (sqrt x))
(* -1 (sqrt x))
(* (sqrt x) (pow (sqrt -1) 2))
(* (sqrt x) (pow (sqrt -1) 2))
(* (sqrt x) (pow (sqrt -1) 2))
(* (sqrt x) (pow (sqrt -1) 2))
(/ 1/16 (pow x 3))
(/ (+ 1/16 (* -5/32 x)) (pow x 3))
(/ (+ 1/16 (* x (- (* 75/128 x) 5/32))) (pow x 3))
(/ (+ 1/16 (* x (- (* x (+ 75/128 (* -81/256 x))) 5/32))) (pow x 3))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) x)
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) x)
(* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* -1/4 (sqrt x)) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/4 (sqrt (/ 1 x))) (* -1/16 (sqrt (/ 1 x))))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(/ 1/16 (pow x 3))
(/ (+ 1/16 (* -1/8 x)) (pow x 3))
(/ (+ 1/16 (* x (- (* 1/2 x) 1/8))) (pow x 3))
(/ (+ 1/16 (* x (- (* 1/2 x) 1/8))) (pow x 3))
(/ 1/2 x)
(/ (- 1/2 (* 1/8 (/ 1 x))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 2))) (* 1/8 (/ 1 x))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 2))) (* 1/8 (/ 1 x))) x)
(/ 1/2 x)
(* -1 (/ (- (* 1/8 (/ 1 x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x)) 1/2) x))
(/ 1/16 (pow x 2))
(/ (+ 1/16 (* -1/8 x)) (pow x 2))
(/ (+ 1/16 (* x (- (* 1/2 x) 1/8))) (pow x 2))
(/ (+ 1/16 (* x (- (* 1/2 x) 1/8))) (pow x 2))
1/2
(- 1/2 (* 1/8 (/ 1 x)))
(- (+ 1/2 (/ 1/16 (pow x 2))) (* 1/8 (/ 1 x)))
(- (+ 1/2 (/ 1/16 (pow x 2))) (* 1/8 (/ 1 x)))
1/2
(- 1/2 (* 1/8 (/ 1 x)))
(+ 1/2 (* -1 (/ (- 1/8 (* 1/16 (/ 1 x))) x)))
(+ 1/2 (* -1 (/ (- 1/8 (* 1/16 (/ 1 x))) x)))
(/ -1/16 (pow x 2))
(/ (- (* 1/8 x) 1/16) (pow x 2))
(/ (- (* 1/8 x) 1/16) (pow x 2))
(/ (- (* 1/8 x) 1/16) (pow x 2))
(/ 1/8 x)
(/ (- 1/8 (* 1/16 (/ 1 x))) x)
(/ (- 1/8 (* 1/16 (/ 1 x))) x)
(/ (- 1/8 (* 1/16 (/ 1 x))) x)
(/ 1/8 x)
(* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x))
(* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x))
(* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 3/8 x) 1/2)))
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))
(sqrt (/ 1 x))
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
Outputs
(/ -1/8 x)
(/.f64 #s(literal -1/8 binary64) x)
(/ (- (* 1/2 x) 1/8) x)
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))
(/ (- (* x (+ 1/2 (* 2 x))) 1/8) x)
(+.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(/ (- (* x (+ 1/2 (* 2 x))) 1/8) x)
(+.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 2 binary64)))
(* x (- (+ 2 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))
(+.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(* x (- (+ 2 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))
(+.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(* 2 x)
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(* 1/2 (sqrt (/ 1 (pow x 3))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)))
(/ (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal -3/8 binary64)))) x)
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) x)
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 3/8 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal -3/8 binary64))) x)
(* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal -1/2 binary64))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) x)
(* -1 (/ (+ (* -1 (/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(/.f64 (+.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal -1/16 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) x)
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* -1/4 (sqrt x)) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/4 (sqrt (/ 1 x))) (* -1/16 (sqrt (/ 1 x))))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (/.f64 (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/4 binary64))) x) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) x)
(/ 1/16 (pow x 3))
(/.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) x)
(/ (+ 1/16 (* -1/8 x)) (pow x 3))
(/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -1/8 binary64) x)) (*.f64 x (*.f64 x x)))
(/ (+ 1/16 (* x (- (* 1/2 x) 1/8))) (pow x 3))
(/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 x (*.f64 x x)))
(/ (+ 1/16 (* x (- (* 1/2 x) 1/8))) (pow x 3))
(/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 x (*.f64 x x)))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (- 1/2 (* 1/8 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 2))) (* 1/8 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 2))) (* 1/8 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(* -1 (/ (- (* 1/8 (/ 1 x)) 1/2) x))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x)) 1/2) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x)) 1/2) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) x)
(/ 1/16 (pow x 2))
(/.f64 #s(literal 1/16 binary64) (*.f64 x x))
(/ (+ 1/16 (* -1/8 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -1/8 binary64) x)) (*.f64 x x))
(/ (+ 1/16 (* x (- (* 1/2 x) 1/8))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 x x))
(/ (+ 1/16 (* x (- (* 1/2 x) 1/8))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 x x))
1/2
#s(literal 1/2 binary64)
(- 1/2 (* 1/8 (/ 1 x)))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))
(- (+ 1/2 (/ 1/16 (pow x 2))) (* 1/8 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))
(- (+ 1/2 (/ 1/16 (pow x 2))) (* 1/8 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))
1/2
#s(literal 1/2 binary64)
(- 1/2 (* 1/8 (/ 1 x)))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))
(+ 1/2 (* -1 (/ (- 1/8 (* 1/16 (/ 1 x))) x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))
(+ 1/2 (* -1 (/ (- 1/8 (* 1/16 (/ 1 x))) x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ (- (* 1/8 x) 1/16) (pow x 2))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)
(/ (- (* 1/8 x) 1/16) (pow x 2))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)
(/ (- (* 1/8 x) 1/16) (pow x 2))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ (- 1/8 (* 1/16 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)
(/ (- 1/8 (* 1/16 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)
(/ (- 1/8 (* 1/16 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)
(* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)
(* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(+ 1 (* x (- (* 3/8 x) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 3/8 binary64)))))
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 3/8 binary64) (*.f64 x #s(literal -5/16 binary64)))))))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal -1/2 binary64)))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))))))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/4 binary64)))))) (*.f64 x (*.f64 x x))))

eval144.0ms (1.2%)

Memory
-10.6MiB live, 362.1MiB allocated
Compiler

Compiled 23 272 to 3 021 computations (87% saved)

prune208.0ms (1.8%)

Memory
-0.8MiB live, 234.7MiB allocated
Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New1 173121 185
Fresh11415
Picked415
Done213
Total1 190181 208
Accuracy
100.0%
Counts
1 208 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x)) #s(literal 1/2 binary64)))
84.9%
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 x (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
99.2%
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 2 binary64))))
98.1%
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 x #s(literal 2 binary64)))
37.5%
(/.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) x)
97.8%
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)) x)
98.0%
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) x)
97.9%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))))
7.8%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))) #s(literal 1 binary64)))
96.4%
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/2 binary64))))
39.1%
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
99.4%
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x)))))
98.2%
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))
50.3%
(*.f64 (/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal -5/128 binary64) x)) (*.f64 x x)) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
40.9%
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x))))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
7.8%
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)) x) #s(literal 1 binary64))
99.5%
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x)) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
1.8%
(*.f64 x #s(literal -8 binary64))
Compiler

Compiled 1 039 to 388 computations (62.7% saved)

regimes42.0ms (0.4%)

Memory
4.7MiB live, 41.5MiB allocated
Counts
59 → 1
Calls
Call 1
Inputs
(*.f64 x #s(literal -8 binary64))
(/.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) x)
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))) #s(literal 1 binary64)))
(pow.f64 x #s(literal -1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) x)
(/.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 (*.f64 x x) #s(literal -1/4 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) x)
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/2 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)))
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) x)
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal 0 binary64) x)) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x)) (sqrt.f64 x))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (+.f64 #s(literal 1/2 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))))))
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x)) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) (/.f64 #s(literal -5/128 binary64) (*.f64 x (*.f64 x x))))) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal -5/128 binary64) x)) (*.f64 x x)) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x))))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) x)
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) x) x)
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 x (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) x)) (*.f64 x (+.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) x) x)) (+.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x))
(/.f64 (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
Outputs
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x)) #s(literal 1/2 binary64)))
Calls

2 calls:

27.0ms
x
12.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
99.5%1x
99.5%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes9.0ms (0.1%)

Memory
15.4MiB live, 15.4MiB allocated
Counts
27 → 1
Calls
Call 1
Inputs
(*.f64 x #s(literal -8 binary64))
(/.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) x)
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))) #s(literal 1 binary64)))
(pow.f64 x #s(literal -1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) x)
(/.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 (*.f64 x x) #s(literal -1/4 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) x)
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/2 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)))
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) x)
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal 0 binary64) x)) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x)) (sqrt.f64 x))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
Outputs
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 2 binary64))))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
99.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes84.0ms (0.7%)

Memory
-28.5MiB live, 14.5MiB allocated
Counts
24 → 1
Calls
Call 1
Inputs
(*.f64 x #s(literal -8 binary64))
(/.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) x)
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))) #s(literal 1 binary64)))
(pow.f64 x #s(literal -1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) x)
(/.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 (*.f64 x x) #s(literal -1/4 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) x)
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/2 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)))
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) x)
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal 0 binary64) x)) (pow.f64 x #s(literal 3/2 binary64)))
Outputs
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
98.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory
6.7MiB live, 6.7MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 x #s(literal -8 binary64))
(/.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) x)
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))) #s(literal 1 binary64)))
(pow.f64 x #s(literal -1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
Outputs
(/.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) x)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
37.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 x #s(literal -8 binary64))
Outputs
(*.f64 x #s(literal -8 binary64))
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
1.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify7.0ms (0.1%)

Memory
12.5MiB live, 12.5MiB allocated
Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02441
13441
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x)) #s(literal 1/2 binary64)))
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))
(/.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) x)
(*.f64 x #s(literal -8 binary64))
Outputs
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) x)) #s(literal 1/2 binary64)))
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 2 binary64))))
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) x)
(*.f64 x #s(literal -8 binary64))

soundness1.9s (16.4%)

Memory
0.9MiB live, 1 231.8MiB allocated
Rules
23 172×accelerator-lowering-fma.f32
23 172×accelerator-lowering-fma.f64
20 218×accelerator-lowering-fma.f32
20 218×accelerator-lowering-fma.f64
19 368×accelerator-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02662054
16621844
217151783
343041737
081521643
04213287
112892794
242922623
081722507
02841804
17321590
219251576
347941537
085341470
0114529
1303480
2925455
33326445
08140416
036168
1245154
22390153
08848144
035138
1230138
21829125
08302122
0823
16019
255819
3671019
0810419
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 190 to 131 computations (31.1% saved)

preprocess63.0ms (0.5%)

Memory
0.1MiB live, 154.8MiB allocated
Compiler

Compiled 160 to 96 computations (40% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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