2isqrt (example 3.6)

Time bar (total: 5.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze2.0ms (0%)

Memory
7.0MiB live, 7.0MiB allocated; 0ms collecting garbage
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)

sample2.3s (46.6%)

Memory
107.4MiB live, 2 877.5MiB allocated; 767ms collecting garbage
Samples
1.3s6 487×1valid
569.0ms1 655×2valid
9.0ms114×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.6s
ival-sqrt: 316.0ms (20.3% of total)
const: 296.0ms (19% of total)
adjust: 274.0ms (17.6% of total)
ival-div: 252.0ms (16.2% of total)
ival-sub: 145.0ms (9.3% of total)
ival-add: 128.0ms (8.2% of total)
ival->: 103.0ms (6.6% of total)
ival-<: 23.0ms (1.5% of total)
ival-and: 12.0ms (0.8% of total)
exact: 8.0ms (0.5% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

explain151.0ms (3%)

Memory
-34.5MiB live, 160.0MiB allocated; 25ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1820-0-(-.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)))))cancellation1820
Confusion
Predicted +Predicted -
+1820
-074
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+18200
-0074
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
074
1182
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
61.0ms392×1valid
28.0ms112×2valid
0.0ms0valid
Compiler

Compiled 79 to 28 computations (64.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
adjust: 20.0ms (32.8% of total)
ival-sqrt: 16.0ms (26.3% of total)
ival-div: 14.0ms (23% of total)
ival-add: 5.0ms (8.2% of total)
ival-sub: 5.0ms (8.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess215.0ms (4.3%)

Memory
42.4MiB live, 136.6MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01027
11327
21627
33127
49027
556824
6566324
0811
01411
11711
22011
33511
49211
554811
6551411
0801911
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.9%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Compiler

Compiled 11 to 8 computations (27.3% saved)

series12.0ms (0.2%)

Memory
-33.2MiB live, 10.0MiB allocated; 7ms collecting garbage
Counts
8 → 37
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
Outputs
(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)
(sqrt x)
x
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 3/8 x) 1/2)))
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(+ 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)) (* -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)))))))
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(* x (+ 1 (/ 1 x)))
(- (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))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* (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 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
Calls

3 calls:

TimeVariablePointExpression
9.0ms
x
@-inf
((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) 1 (sqrt x) x (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))
2.0ms
x
@inf
((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) 1 (sqrt x) x (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))
1.0ms
x
@0
((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) 1 (sqrt x) x (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))

simplify147.0ms (2.9%)

Memory
26.1MiB live, 128.6MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0158674
1488581
21959545
08708502
Stop Event
iter limit
node limit
Counts
37 → 36
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)
(sqrt x)
x
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 3/8 x) 1/2)))
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(+ 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)) (* -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)))))))
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(* x (+ 1 (/ 1 x)))
(- (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))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* (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 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
Outputs
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ (+ (sqrt x) (* -1 x)) x)
(/.f64 (-.f64 (sqrt.f64 x) x) x)
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)
(-.f64 (/.f64 (sqrt.f64 x) x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)
(+.f64 (/.f64 (sqrt.f64 x) x) (fma.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)))
(sqrt x)
(sqrt.f64 x)
x
1
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* 3/8 x) 1/2)))
(fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/16 binary64) x #s(literal 3/8 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 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 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) (*.f64 #s(literal -1/2 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)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (*.f64 x x))
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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)))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 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))))
(fma.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) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (sqrt.f64 x) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (neg.f64 (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))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (neg.f64 (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))))
(fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(*.f64 (fma.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)

rewrite144.0ms (2.9%)

Memory
-24.5MiB live, 67.7MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0832
01432
15928
045628
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
8 → 63
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
Outputs
(/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -3 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (neg.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64))) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (*.f64 (sqrt.f64 x) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -3 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -3 binary64))) (fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 (sqrt.f64 x) #s(literal -2 binary64))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (pow.f64 (sqrt.f64 x) #s(literal -3 binary64)) (fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)))) (/.f64 (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -3 binary64)) (fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)))))
(-.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64))))) (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64))))))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
x
(*.f64 (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64)))
(*.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 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 x #s(literal -1 binary64))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)

eval11.0ms (0.2%)

Memory
19.7MiB live, 19.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 954 to 384 computations (80.3% saved)

prune10.0ms (0.2%)

Memory
17.1MiB live, 17.1MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New919100
Fresh000
Picked011
Done000
Total9110101
Accuracy
82.1%
Counts
101 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.0%
(/.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -3 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -3 binary64))) (fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 (sqrt.f64 x) #s(literal -2 binary64))))
37.0%
(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
29.6%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
36.9%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
5.7%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))
81.1%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x)))
81.2%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (*.f64 x x)))
80.1%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
66.8%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))
5.7%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 447 to 314 computations (29.8% saved)

series26.0ms (0.5%)

Memory
-14.6MiB live, 28.9MiB allocated; 6ms collecting garbage
Counts
39 → 111
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (*.f64 x x)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (*.f64 x x))
(*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(literal -1/2 binary64)
(-.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal 5 binary64))
x
#s(literal 5 binary64)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 x)
(fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))
#s(literal 1/4 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(*.f64 x x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
Outputs
(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 9))))
(/ (+ (* -1/2 (sqrt x)) (* -1/2 (* x (- (* 1/2 (sqrt x)) (sqrt x))))) (pow x 5))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (* x (- (sqrt x) (* 1/4 (sqrt x))))) (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x)))))) (pow x 5))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -1/2 (- (sqrt x) (* 1/4 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))))) (pow x 5))
(* -1/2 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -1/2 (sqrt x)) (* -1/2 (* x (- (* 1/2 (sqrt x)) (sqrt x))))) (pow x 3))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (* x (- (sqrt x) (* 1/4 (sqrt x))))) (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x)))))) (pow x 3))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -1/2 (- (sqrt x) (* 1/4 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3))
(sqrt (/ 1 (pow x 5)))
(/ (+ (sqrt x) (* x (- (* 1/2 (sqrt x)) (sqrt x)))) (pow x 3))
(/ (+ (sqrt x) (* x (- (+ (* 1/2 (sqrt x)) (* x (- (sqrt x) (* 1/4 (sqrt x))))) (sqrt x)))) (pow x 3))
(/ (+ (sqrt x) (* x (- (+ (* 1/2 (sqrt x)) (* x (- (+ (sqrt x) (* -1 (sqrt (pow x 3)))) (* 1/4 (sqrt x))))) (sqrt x)))) (pow x 3))
(/ (+ (sqrt x) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/ (+ (sqrt x) (* x (+ (* -1 (sqrt (pow x 5))) (* 1/2 (sqrt x))))) (pow x 3))
(/ 1 (pow x 5))
(pow x 5)
x
1
(+ 1 (* 1/2 x))
(sqrt x)
(sqrt (/ 1 (pow x 3)))
(/ (+ (sqrt x) (* x (- (* 1/4 (sqrt x)) (sqrt x)))) (pow x 2))
(+ 1 (* 1/4 x))
(/ 1 (pow x 3))
(pow x 3)
(* -1 (sqrt (/ 1 x)))
(/ 1 x)
(pow x 2)
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/ -1/2 (pow x 2))
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 7))))
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (sqrt x))))) (pow x 4))
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))) (pow x 4))
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (sqrt x))))) (pow x 2))
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))) (pow x 2))
(/ (+ (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))
(* -1/2 (sqrt (/ 1 x)))
(/ (- (* -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 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x))))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))))) x)
(* 1/2 (sqrt x))
(* x (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))))
(* x (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x))))))
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))))))
(* -1 (sqrt x))
(* x (- (sqrt (/ 1 (pow x 3))) (+ (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 (pow x 3)))))))
(* x (- (+ (sqrt (/ 1 (pow x 3))) (* 1/2 (sqrt (/ 1 (pow x 5))))) (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 5))) (* 1/4 (sqrt (/ 1 (pow x 3))))))))
(* x (- (+ (sqrt (/ 1 (pow x 3))) (+ (sqrt (/ 1 (pow x 7))) (* 1/2 (sqrt (/ 1 (pow x 5)))))) (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 5))) (* 1/4 (sqrt (/ 1 (pow x 3))))))))
(* x (- (* 1/2 (sqrt (/ 1 (pow x 5)))) (sqrt (/ 1 x))))
(* x (- (+ (sqrt (/ 1 (pow x 7))) (* 1/2 (sqrt (/ 1 (pow x 5))))) (sqrt (/ 1 x))))
(/ (+ (sqrt (/ 1 (pow x 3))) (* 1/2 (sqrt (/ 1 x)))) x)
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(- (* 1/4 (sqrt (/ 1 x))) (sqrt (/ 1 x)))
(- (+ (sqrt (/ 1 (pow x 3))) (* 1/4 (sqrt (/ 1 x)))) (sqrt (/ 1 x)))
(* 1/4 x)
(* x (+ 1/4 (/ 1 x)))
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x))))
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 5))))))) x)
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 5))))))))
(* 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)))))))
(- (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))))
(* -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 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* (sqrt x) (pow (sqrt -1) 2))
(* -1 (* x (- (* -1 (/ (- (* (sqrt (/ 1 x)) (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 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* (sqrt (/ 1 x)) (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 (/ (- (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (- (+ (* -1 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(- (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (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 x)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (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 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (* 1/2 (* (sqrt (/ 1 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)))))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
Calls

3 calls:

TimeVariablePointExpression
11.0ms
x
@0
((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt (/ 1 (pow x 5))) (/ 1 (pow x 5)) 1 (pow x 5) x 5 (+ (* 1/2 x) 1) 1/2 (sqrt x) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (+ (* 1/4 x) 1) 1/4 (sqrt (/ 1 (pow x 3))) (/ 1 (pow x 3)) (pow x 3) 3 (neg (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ 1 x) (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ -1/2 (* x x)) (- (sqrt (/ 1 x)) (sqrt x))) (/ -1/2 (* x x)) (- (sqrt (/ 1 x)) (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (sqrt (/ 1 (pow x 3))) 1/2) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) (* -1/2 (sqrt (/ 1 x))))
7.0ms
x
@-inf
((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt (/ 1 (pow x 5))) (/ 1 (pow x 5)) 1 (pow x 5) x 5 (+ (* 1/2 x) 1) 1/2 (sqrt x) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (+ (* 1/4 x) 1) 1/4 (sqrt (/ 1 (pow x 3))) (/ 1 (pow x 3)) (pow x 3) 3 (neg (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ 1 x) (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ -1/2 (* x x)) (- (sqrt (/ 1 x)) (sqrt x))) (/ -1/2 (* x x)) (- (sqrt (/ 1 x)) (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (sqrt (/ 1 (pow x 3))) 1/2) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) (* -1/2 (sqrt (/ 1 x))))
5.0ms
x
@inf
((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt (/ 1 (pow x 5))) (/ 1 (pow x 5)) 1 (pow x 5) x 5 (+ (* 1/2 x) 1) 1/2 (sqrt x) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (+ (* 1/4 x) 1) 1/4 (sqrt (/ 1 (pow x 3))) (/ 1 (pow x 3)) (pow x 3) 3 (neg (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ 1 x) (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ -1/2 (* x x)) (- (sqrt (/ 1 x)) (sqrt x))) (/ -1/2 (* x x)) (- (sqrt (/ 1 x)) (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (sqrt (/ 1 (pow x 3))) 1/2) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) (* -1/2 (sqrt (/ 1 x))))

simplify260.0ms (5.2%)

Memory
-31.1MiB live, 135.8MiB allocated; 198ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03482437
111531815
251871790
085791704
Stop Event
iter limit
node limit
Counts
111 → 110
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 9))))
(/ (+ (* -1/2 (sqrt x)) (* -1/2 (* x (- (* 1/2 (sqrt x)) (sqrt x))))) (pow x 5))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (* x (- (sqrt x) (* 1/4 (sqrt x))))) (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x)))))) (pow x 5))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -1/2 (- (sqrt x) (* 1/4 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))))) (pow x 5))
(* -1/2 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -1/2 (sqrt x)) (* -1/2 (* x (- (* 1/2 (sqrt x)) (sqrt x))))) (pow x 3))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (* x (- (sqrt x) (* 1/4 (sqrt x))))) (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x)))))) (pow x 3))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -1/2 (- (sqrt x) (* 1/4 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3))
(sqrt (/ 1 (pow x 5)))
(/ (+ (sqrt x) (* x (- (* 1/2 (sqrt x)) (sqrt x)))) (pow x 3))
(/ (+ (sqrt x) (* x (- (+ (* 1/2 (sqrt x)) (* x (- (sqrt x) (* 1/4 (sqrt x))))) (sqrt x)))) (pow x 3))
(/ (+ (sqrt x) (* x (- (+ (* 1/2 (sqrt x)) (* x (- (+ (sqrt x) (* -1 (sqrt (pow x 3)))) (* 1/4 (sqrt x))))) (sqrt x)))) (pow x 3))
(/ (+ (sqrt x) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/ (+ (sqrt x) (* x (+ (* -1 (sqrt (pow x 5))) (* 1/2 (sqrt x))))) (pow x 3))
(/ 1 (pow x 5))
(pow x 5)
x
1
(+ 1 (* 1/2 x))
(sqrt x)
(sqrt (/ 1 (pow x 3)))
(/ (+ (sqrt x) (* x (- (* 1/4 (sqrt x)) (sqrt x)))) (pow x 2))
(+ 1 (* 1/4 x))
(/ 1 (pow x 3))
(pow x 3)
(* -1 (sqrt (/ 1 x)))
(/ 1 x)
(pow x 2)
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/ -1/2 (pow x 2))
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 7))))
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (sqrt x))))) (pow x 4))
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))) (pow x 4))
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (sqrt x))))) (pow x 2))
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))) (pow x 2))
(/ (+ (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))
(* -1/2 (sqrt (/ 1 x)))
(/ (- (* -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 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x))))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))))) x)
(* 1/2 (sqrt x))
(* x (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))))
(* x (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x))))))
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))))))
(* -1 (sqrt x))
(* x (- (sqrt (/ 1 (pow x 3))) (+ (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 (pow x 3)))))))
(* x (- (+ (sqrt (/ 1 (pow x 3))) (* 1/2 (sqrt (/ 1 (pow x 5))))) (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 5))) (* 1/4 (sqrt (/ 1 (pow x 3))))))))
(* x (- (+ (sqrt (/ 1 (pow x 3))) (+ (sqrt (/ 1 (pow x 7))) (* 1/2 (sqrt (/ 1 (pow x 5)))))) (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 5))) (* 1/4 (sqrt (/ 1 (pow x 3))))))))
(* x (- (* 1/2 (sqrt (/ 1 (pow x 5)))) (sqrt (/ 1 x))))
(* x (- (+ (sqrt (/ 1 (pow x 7))) (* 1/2 (sqrt (/ 1 (pow x 5))))) (sqrt (/ 1 x))))
(/ (+ (sqrt (/ 1 (pow x 3))) (* 1/2 (sqrt (/ 1 x)))) x)
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(- (* 1/4 (sqrt (/ 1 x))) (sqrt (/ 1 x)))
(- (+ (sqrt (/ 1 (pow x 3))) (* 1/4 (sqrt (/ 1 x)))) (sqrt (/ 1 x)))
(* 1/4 x)
(* x (+ 1/4 (/ 1 x)))
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x))))
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 5))))))) x)
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 5))))))))
(* 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)))))))
(- (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))))
(* -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 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* (sqrt x) (pow (sqrt -1) 2))
(* -1 (* x (- (* -1 (/ (- (* (sqrt (/ 1 x)) (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 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* (sqrt (/ 1 x)) (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 (/ (- (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (- (+ (* -1 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(- (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (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 x)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (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 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (* 1/2 (* (sqrt (/ 1 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)))))
(* -1/2 (* (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) x)
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x)
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)
(/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x)
(* -1/2 (sqrt (/ 1 (pow x 9))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (sqrt x)) (* -1/2 (* x (- (* 1/2 (sqrt x)) (sqrt x))))) (pow x 5))
(*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x (sqrt.f64 x)) (pow.f64 x #s(literal 5 binary64))))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (* x (- (sqrt x) (* 1/4 (sqrt x))))) (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x)))))) (pow x 5))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (fma.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) x (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 5 binary64)))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -1/2 (- (sqrt x) (* 1/4 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))))) (pow x 5))
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x (sqrt.f64 x)) #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))))) (pow.f64 x #s(literal 5 binary64)))
(* -1/2 (sqrt (/ 1 (pow x 5))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (sqrt x)) (* -1/2 (* x (- (* 1/2 (sqrt x)) (sqrt x))))) (pow x 3))
(*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64))))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (* x (- (sqrt x) (* 1/4 (sqrt x))))) (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x)))))) (pow x 3))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (fma.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) x (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -1/2 (- (sqrt x) (* 1/4 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3))
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x (sqrt.f64 x)) #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))))) (pow.f64 x #s(literal 3 binary64)))
(sqrt (/ 1 (pow x 5)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(/ (+ (sqrt x) (* x (- (* 1/2 (sqrt x)) (sqrt x)))) (pow x 3))
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ (sqrt x) (* x (- (+ (* 1/2 (sqrt x)) (* x (- (sqrt x) (* 1/4 (sqrt x))))) (sqrt x)))) (pow x 3))
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) x (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ (sqrt x) (* x (- (+ (* 1/2 (sqrt x)) (* x (- (+ (sqrt x) (* -1 (sqrt (pow x 3)))) (* 1/4 (sqrt x))))) (sqrt x)))) (pow x 3))
(/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) x (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ (sqrt x) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ (sqrt x) (* x (+ (* -1 (sqrt (pow x 5))) (* 1/2 (sqrt x))))) (pow x 3))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (sqrt.f64 (pow.f64 x #s(literal 5 binary64))))) x (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64)))
(/ 1 (pow x 5))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
x
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(sqrt x)
(sqrt.f64 x)
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/ (+ (sqrt x) (* x (- (* 1/4 (sqrt x)) (sqrt x)))) (pow x 2))
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x (sqrt.f64 x)) (*.f64 x x))
(+ 1 (* 1/4 x))
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* -1 (sqrt (/ 1 x)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(pow x 2)
(*.f64 x x)
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)
(/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) x)
(* 1/2 (sqrt (/ 1 (pow x 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))
(* 1/2 (sqrt (/ 1 (pow x 7))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/2 binary64))
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (sqrt x))))) (pow x 4))
(/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (sqrt.f64 x)) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))) (pow x 4))
(/.f64 (fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (sqrt x))))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (sqrt.f64 x)) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) x)
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))) (pow x 2))
(/.f64 (fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))
(/ (+ (sqrt x) (* 1/4 (sqrt (pow x 3)))) (pow x 2))
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64) (sqrt.f64 x)) (*.f64 x x))
(/ (+ (sqrt x) (* x (+ (sqrt (pow x 3)) (* 1/4 (sqrt x))))) (pow x 2))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) x (sqrt.f64 x)) (*.f64 x x))
(* -1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.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 (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 x) (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 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 x))) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 x x))
(/ (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))) x)
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/ (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x))))) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))))) x)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)
(* 1/2 (sqrt x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(* x (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))))
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(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -5/8 binary64) x))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5/8 binary64))) (neg.f64 x))))
(* -1 (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* -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)))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) x) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))

rewrite116.0ms (2.3%)

Memory
-15.3MiB live, 84.3MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045447
076405
1299357
02484357
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
39 → 434
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (*.f64 x x)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (*.f64 x x))
(*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(literal -1/2 binary64)
(-.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal 5 binary64))
x
#s(literal 5 binary64)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 x)
(fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))
#s(literal 1/4 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(*.f64 x x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -5/2 binary64))) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(*.f64 (/.f64 (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -5/2 binary64))) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (neg.f64 x)) (/.f64 (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -5/2 binary64))) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (neg.f64 x)))
(*.f64 (/.f64 (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -5/2 binary64))) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (*.f64 x x)) #s(literal -1/2 binary64))
(*.f64 (/.f64 (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -5/2 binary64))) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) x) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -5/2 binary64))) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) x))
(*.f64 (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -5/2 binary64))) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -5/2 binary64))) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (*.f64 x x)))
(/.f64 (/.f64 (*.f64 (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -5/2 binary64))) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) #s(literal -1/2 binary64)) (neg.f64 x)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -5/2 binary64))) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))) x)
(/.f64 (neg.f64 (*.f64 (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -5/2 binary64))) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal -1/2 binary64) x))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -5/2 binary64))) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) #s(literal 1/2 binary64))) (*.f64 x x))
(/.f64 (*.f64 (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -5/2 binary64))) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal -1/2 binary64) x)) x)
(/.f64 (*.f64 (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -5/2 binary64))) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -5/2 binary64))) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) #s(literal -1/2 binary64)) (*.f64 x x))
(neg.f64 (/.f64 (*.f64 (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -5/2 binary64))) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) #s(literal 1/2 binary64)) (*.f64 x x)))
(neg.f64 (/.f64 (*.f64 (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -5/2 binary64))) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) #s(literal -1/2 binary64)) (*.f64 (neg.f64 x) x)))
(*.f64 (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -5/2 binary64))) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -5/2 binary64))) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -5/2 binary64))) (sqrt.f64 x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -5/2 binary64))) (-.f64 (sqrt.f64 x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -5/2 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) #s(literal -1/2 binary64)) (fma.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -5/2 binary64))) (-.f64 (sqrt.f64 x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))) (pow.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -5/2 binary64))) (sqrt.f64 x)) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -5/2 binary64))) (sqrt.f64 x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(literal 2 binary64)))) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -5/2 binary64))) (-.f64 (sqrt.f64 x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -5/2 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -5/2 binary64))) (-.f64 (sqrt.f64 x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))) (pow.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -5/2 binary64))) (sqrt.f64 x)) #s(literal 2 binary64))))
#s(literal -1/2 binary64)
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(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (/.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (fma.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(-.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
(-.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x))) #s(literal 1/2 binary64)))
(-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x))))
(+.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (pow.f64 x #s(literal -3/2 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (pow.f64 x #s(literal -3/2 binary64))) (-.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (pow.f64 x #s(literal -3/2 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))
(+.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(+.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 x (pow.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)))))
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(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)))
(/.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 x (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)))))
(/.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)))) (pow.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))))
(fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x))
(fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -3/2 binary64)) (sqrt.f64 x))
(fma.f64 (sqrt.f64 x) #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))))
(-.f64 (sqrt.f64 x) (*.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))))
(-.f64 (sqrt.f64 x) (*.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (pow.f64 x #s(literal -3/2 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)))) (pow.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)))) (pow.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64)))))
(+.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))

eval111.0ms (2.2%)

Memory
17.2MiB live, 154.3MiB allocated; 13ms collecting garbage
Compiler

Compiled 38 258 to 3 943 computations (89.7% saved)

prune30.0ms (0.6%)

Memory
6.0MiB live, 58.6MiB allocated; 5ms collecting garbage
Pruning

18 alts after pruning (15 fresh and 3 done)

PrunedKeptTotal
New86612878
Fresh134
Picked325
Done011
Total87018888
Accuracy
99.8%
Counts
888 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.0%
(/.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -3 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -3 binary64))) (fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 (sqrt.f64 x) #s(literal -2 binary64))))
37.0%
(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
29.6%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
36.9%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
81.1%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x)))
78.5%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (*.f64 x x)))
30.2%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) x (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 x x)))
81.0%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) (*.f64 x x)))
80.0%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
5.7%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
97.9%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
80.7%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
80.1%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
67.3%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal 1/2 binary64)))
66.8%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
5.7%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
98.8%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
98.7%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
Compiler

Compiled 1 270 to 840 computations (33.9% saved)

series37.0ms (0.7%)

Memory
-21.1MiB live, 25.1MiB allocated; 4ms collecting garbage
Counts
36 → 76
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
#s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(literal -1/2 binary64)
(/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) x)
(fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
#s(literal 3/4 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(literal 1/2 binary64)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
#s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal -3/2 binary64))
#s(literal -3/2 binary64)
Outputs
(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 9))))
(/ (+ (* -1/2 (sqrt x)) (* -1/2 (* x (- (* 1/2 (sqrt x)) (sqrt x))))) (pow x 5))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (* x (- (sqrt x) (* 1/4 (sqrt x))))) (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x)))))) (pow x 5))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -1/2 (- (sqrt x) (* 1/4 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))))) (pow x 5))
(* -1/2 (/ (- (* 1/2 (sqrt x)) (sqrt x)) (pow x 4)))
(/ (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* -3/8 (sqrt (pow x 3)))) (pow x 4))
(/ (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 4))
(* -1/2 (/ (- (* 1/2 (sqrt x)) (sqrt x)) (pow x 3)))
(/ (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* -3/8 (sqrt (pow x 3)))) (pow x 3))
(/ (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))
(/ (- (* 1/2 (sqrt x)) (sqrt x)) (pow x 3))
(/ (- (+ (* 1/2 (sqrt x)) (* 3/4 (sqrt (pow x 3)))) (sqrt x)) (pow x 3))
(/ (- (* 1/2 (sqrt x)) (sqrt x)) (pow x 2))
(/ (- (+ (* 1/2 (sqrt x)) (* 3/4 (sqrt (pow x 3)))) (sqrt x)) (pow x 2))
(/ 1 x)
x
(/ (- (* 1/2 (sqrt x)) (sqrt x)) x)
(* 1/2 (sqrt (/ 1 x)))
(sqrt x)
(* 1/2 (sqrt (/ 1 (pow x 3))))
(sqrt (/ 1 (pow x 3)))
(/ 1 (pow x 3))
(/ 1 (pow x 2))
(pow x 2)
(* -3/8 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(* -3/8 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(* 3/4 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1 (sqrt (pow x 3))) (* 3/4 (sqrt x))) (pow x 2))
(* 3/4 (sqrt (/ 1 x)))
(/ (- (* -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 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x))))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))))) x)
(/ (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) x)
(+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(/ (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 3/4 (sqrt (/ 1 x)))) (sqrt (/ 1 (pow x 3)))) x)
(- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 3/4 (sqrt (/ 1 x)))) (sqrt (/ 1 (pow x 3))))
(/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)
(- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x)))
(* -1 (sqrt (/ 1 x)))
(- (* 3/4 (sqrt (/ 1 (pow x 3)))) (sqrt (/ 1 x)))
(- (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))))
(* -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 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (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))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* -3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* 3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* 3/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* -3/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* 3/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(/ (- (* 1/2 (* (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 x)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (* 3/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
Calls

3 calls:

TimeVariablePointExpression
24.0ms
x
@-inf
((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x) (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) 3/4 (sqrt (/ 1 x)) (/ 1 x) 1 x (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x) (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x))) 1/2 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (sqrt (/ (/ 1 (* x x)) x)) 1/2) (sqrt (/ (/ 1 (* x x)) x)) (/ (/ 1 (* x x)) x) (/ 1 (* x x)) (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/ (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) x) (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x))) (/ (* 3/4 (sqrt (/ 1 x))) x) (* 3/4 (sqrt (/ 1 x))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (pow x -3/2) 1/2) (pow x -3/2) -3/2)
6.0ms
x
@0
((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x) (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) 3/4 (sqrt (/ 1 x)) (/ 1 x) 1 x (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x) (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x))) 1/2 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (sqrt (/ (/ 1 (* x x)) x)) 1/2) (sqrt (/ (/ 1 (* x x)) x)) (/ (/ 1 (* x x)) x) (/ 1 (* x x)) (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/ (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) x) (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x))) (/ (* 3/4 (sqrt (/ 1 x))) x) (* 3/4 (sqrt (/ 1 x))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (pow x -3/2) 1/2) (pow x -3/2) -3/2)
4.0ms
x
@inf
((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x) (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) 3/4 (sqrt (/ 1 x)) (/ 1 x) 1 x (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x) (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x))) 1/2 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (sqrt (/ (/ 1 (* x x)) x)) 1/2) (sqrt (/ (/ 1 (* x x)) x)) (/ (/ 1 (* x x)) x) (/ 1 (* x x)) (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/ (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) x) (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x))) (/ (* 3/4 (sqrt (/ 1 x))) x) (* 3/4 (sqrt (/ 1 x))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (pow x -3/2) 1/2) (pow x -3/2) -3/2)

simplify152.0ms (3%)

Memory
39.7MiB live, 83.4MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02411499
17531189
232501119
083061062
Stop Event
iter limit
node limit
Counts
76 → 75
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 9))))
(/ (+ (* -1/2 (sqrt x)) (* -1/2 (* x (- (* 1/2 (sqrt x)) (sqrt x))))) (pow x 5))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (* x (- (sqrt x) (* 1/4 (sqrt x))))) (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x)))))) (pow x 5))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -1/2 (- (sqrt x) (* 1/4 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))))) (pow x 5))
(* -1/2 (/ (- (* 1/2 (sqrt x)) (sqrt x)) (pow x 4)))
(/ (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* -3/8 (sqrt (pow x 3)))) (pow x 4))
(/ (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 4))
(* -1/2 (/ (- (* 1/2 (sqrt x)) (sqrt x)) (pow x 3)))
(/ (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* -3/8 (sqrt (pow x 3)))) (pow x 3))
(/ (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))
(/ (- (* 1/2 (sqrt x)) (sqrt x)) (pow x 3))
(/ (- (+ (* 1/2 (sqrt x)) (* 3/4 (sqrt (pow x 3)))) (sqrt x)) (pow x 3))
(/ (- (* 1/2 (sqrt x)) (sqrt x)) (pow x 2))
(/ (- (+ (* 1/2 (sqrt x)) (* 3/4 (sqrt (pow x 3)))) (sqrt x)) (pow x 2))
(/ 1 x)
x
(/ (- (* 1/2 (sqrt x)) (sqrt x)) x)
(* 1/2 (sqrt (/ 1 x)))
(sqrt x)
(* 1/2 (sqrt (/ 1 (pow x 3))))
(sqrt (/ 1 (pow x 3)))
(/ 1 (pow x 3))
(/ 1 (pow x 2))
(pow x 2)
(* -3/8 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(* -3/8 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(* 3/4 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1 (sqrt (pow x 3))) (* 3/4 (sqrt x))) (pow x 2))
(* 3/4 (sqrt (/ 1 x)))
(/ (- (* -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 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x))))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))))) x)
(/ (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) x)
(+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(/ (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 3/4 (sqrt (/ 1 x)))) (sqrt (/ 1 (pow x 3)))) x)
(- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 3/4 (sqrt (/ 1 x)))) (sqrt (/ 1 (pow x 3))))
(/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)
(- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x)))
(* -1 (sqrt (/ 1 x)))
(- (* 3/4 (sqrt (/ 1 (pow x 3)))) (sqrt (/ 1 x)))
(- (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))))
(* -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 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (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))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* -3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* 3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* 3/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* -3/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* 3/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(/ (- (* 1/2 (* (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 x)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (* 3/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (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) x)
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x (sqrt.f64 x)) x)
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (sqrt.f64 x)) x)
(* -1/2 (sqrt (/ 1 (pow x 9))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (sqrt x)) (* -1/2 (* x (- (* 1/2 (sqrt x)) (sqrt x))))) (pow x 5))
(*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x (sqrt.f64 x)) (pow.f64 x #s(literal 5 binary64))))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (* x (- (sqrt x) (* 1/4 (sqrt x))))) (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x)))))) (pow x 5))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (fma.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) x (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 5 binary64)))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -1/2 (- (sqrt x) (* 1/4 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))))) (pow x 5))
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x (sqrt.f64 x)) #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))))) (pow.f64 x #s(literal 5 binary64)))
(* -1/2 (/ (- (* 1/2 (sqrt x)) (sqrt x)) (pow x 4)))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 4 binary64))))
(/ (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* -3/8 (sqrt (pow x 3)))) (pow x 4))
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 4 binary64)))
(/ (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 4))
(/.f64 (fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 x))) x (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* -1/2 (/ (- (* 1/2 (sqrt x)) (sqrt x)) (pow x 3)))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(/ (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* -3/8 (sqrt (pow x 3)))) (pow x 3))
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))
(/.f64 (fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 x))) x (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/ (- (* 1/2 (sqrt x)) (sqrt x)) (pow x 3))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64)))
(/ (- (+ (* 1/2 (sqrt x)) (* 3/4 (sqrt (pow x 3)))) (sqrt x)) (pow x 3))
(/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64)))
(/ (- (* 1/2 (sqrt x)) (sqrt x)) (pow x 2))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 x x))
(/ (- (+ (* 1/2 (sqrt x)) (* 3/4 (sqrt (pow x 3)))) (sqrt x)) (pow x 2))
(/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
x
(/ (- (* 1/2 (sqrt x)) (sqrt x)) x)
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x)
(* 1/2 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(sqrt x)
(sqrt.f64 x)
(* 1/2 (sqrt (/ 1 (pow x 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 1 (pow x 2))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(pow x 2)
(*.f64 x x)
(* -3/8 (sqrt (/ 1 (pow x 5))))
(*.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
(/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(* -3/8 (sqrt (/ 1 (pow x 3))))
(*.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 x))) (*.f64 x x))
(* 3/4 (sqrt (/ 1 (pow x 3))))
(*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/ (+ (* -1 (sqrt (pow x 3))) (* 3/4 (sqrt x))) (pow x 2))
(/.f64 (neg.f64 (fma.f64 #s(literal -3/4 binary64) (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (*.f64 x x))
(* 3/4 (sqrt (/ 1 x)))
(*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.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 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 x) (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 (fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (*.f64 x x))
(/ (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))) x)
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/ (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x))))) x)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/2 binary64) x))) x))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))))) x)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/2 binary64) x))) x)))) x)
(/ (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/.f64 (fma.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) x)
(/ (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) x)
(/.f64 (fma.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x)
(+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(fma.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(fma.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(/ (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 3/4 (sqrt (/ 1 x)))) (sqrt (/ 1 (pow x 3)))) x)
(/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64))) x)
(- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 3/4 (sqrt (/ 1 x)))) (sqrt (/ 1 (pow x 3))))
(fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64)))
(/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/2 binary64) x))
(- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(* -1 (sqrt (/ 1 x)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(- (* 3/4 (sqrt (/ 1 (pow x 3)))) (sqrt (/ 1 x)))
(-.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 5/4 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)) (/.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 #s(literal 5/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) x)) x)
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 5/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)) x)) x)
(* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(/.f64 (fma.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) x)
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* -3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64))) x)) x)
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(+ (* -3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
(+ (* -1 (/ (+ (* 3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64))) x))
(* 3/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(*.f64 #s(literal -3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(* -1 (/ (+ (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* -3/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(/.f64 (fma.f64 #s(literal -3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) x))) x)
(* 3/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 #s(literal -3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(- (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(fma.f64 #s(literal -3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (- (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) x))
(- (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(- (* 3/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(fma.f64 #s(literal -3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))

rewrite112.0ms (2.2%)

Memory
-8.2MiB live, 86.8MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066588
091559
1352454
02801442
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
36 → 342
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
#s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(literal -1/2 binary64)
(/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) x)
(fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
#s(literal 3/4 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(literal 1/2 binary64)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
#s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal -3/2 binary64))
#s(literal -3/2 binary64)
Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/4 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
#s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/4 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/4 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))) x) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/4 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))) x) (/.f64 #s(literal -1/2 binary64) x))) (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/4 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))) x) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/4 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))) x) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/4 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))) x) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/4 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))) x) (/.f64 #s(literal -1/2 binary64) x)) (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/4 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))) x) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/4 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (neg.f64 (neg.f64 x)))
(/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/4 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))) x) #s(literal -1/2 binary64)) x (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 x x))
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#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3/4 binary64))) (pow.f64 x #s(literal -3/4 binary64)))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (*.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -3/4 binary64))) (neg.f64 (pow.f64 x #s(literal -3/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal -3/4 binary64))) (fabs.f64 (pow.f64 x #s(literal -3/4 binary64))))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3/2 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -3/2 binary64))
(pow.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal -3/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -3 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64))
(pow.f64 x #s(literal -3/2 binary64))
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 x)))
(/.f64 (sqrt.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64)))) (sqrt.f64 (neg.f64 x)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64)))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) x)
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))
(sqrt.f64 (pow.f64 x #s(literal -3 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal -3/2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal -3/2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -3/2 binary64)))
#s(literal -3/2 binary64)

eval84.0ms (1.7%)

Memory
-0.6MiB live, 137.2MiB allocated; 12ms collecting garbage
Compiler

Compiled 43 877 to 3 483 computations (92.1% saved)

prune36.0ms (0.7%)

Memory
13.6MiB live, 66.3MiB allocated; 16ms collecting garbage
Pruning

21 alts after pruning (16 fresh and 5 done)

PrunedKeptTotal
New6077614
Fresh1910
Picked325
Done033
Total61121632
Accuracy
99.8%
Counts
632 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.0%
(/.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -3 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -3 binary64))) (fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 (sqrt.f64 x) #s(literal -2 binary64))))
37.0%
(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
29.6%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
36.9%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
81.1%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x)))
97.5%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
78.5%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (*.f64 x x)))
30.2%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) x (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 x x)))
81.0%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) (*.f64 x x)))
80.0%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
5.7%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
97.9%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
80.1%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
96.7%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) x)) #s(literal 1/2 binary64)))
67.3%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(approx (/ 1 (* x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x)) #s(literal 1/2 binary64)))
66.8%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
5.7%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
98.8%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/2 binary64) x))) x))) x)))
97.8%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 x #s(literal -1 binary64))) (*.f64 x (neg.f64 (sqrt.f64 x))))) x)))
98.7%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
97.6%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)))
Compiler

Compiled 1 565 to 1 039 computations (33.6% saved)

series23.0ms (0.5%)

Memory
-10.1MiB live, 36.9MiB allocated; 3ms collecting garbage
Counts
50 → 141
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/2 binary64) x))) x))) x)))
#s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/2 binary64) x))) x))) x))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/2 binary64) x))) x))) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/2 binary64) x))) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/2 binary64) x))) x))
#s(literal -1/2 binary64)
(/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/2 binary64) x))) x)
(fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/2 binary64) x)))
#s(literal 3/4 binary64)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
(/.f64 #s(approx (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))
#s(approx (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(sqrt.f64 x)
(*.f64 x x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)))
#s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x))
(/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)
(*.f64 #s(literal -1/2 binary64) #s(approx (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) (*.f64 x x)))
(/.f64 #s(approx (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) (*.f64 x x))
#s(approx (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))
(*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) x (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 x x)))
(/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) x (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 x x))
(*.f64 #s(literal -1/2 binary64) #s(approx (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) x (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) x (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) x (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (-.f64 (fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) x (sqrt.f64 x))
(-.f64 (fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (sqrt.f64 x))
(fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x)))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal -1 binary64)
(*.f64 #s(literal 3/4 binary64) (sqrt.f64 x))
Outputs
(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 9))))
(/ (+ (* -1/2 (sqrt x)) (* -1/2 (* x (- (* 1/2 (sqrt x)) (sqrt x))))) (pow x 5))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (* x (- (sqrt x) (* 1/4 (sqrt x))))) (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x)))))) (pow x 5))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -1/2 (- (sqrt x) (* 1/4 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))))) (pow x 5))
(* 1/4 (sqrt (/ 1 (pow x 7))))
(/ (+ (* -3/8 (sqrt (pow x 3))) (* 1/4 (sqrt x))) (pow x 4))
(/ (+ (* 1/4 (sqrt x)) (* x (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 4))
(* 1/4 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -3/8 (sqrt (pow x 3))) (* 1/4 (sqrt x))) (pow x 3))
(/ (+ (* 1/4 (sqrt x)) (* x (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))
(/ 1 x)
x
(* -1/2 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -1/2 (sqrt x)) (* 3/4 (sqrt (pow x 3)))) (pow x 3))
(* -1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/2 (sqrt x)) (* 3/4 (sqrt (pow x 3)))) (pow x 2))
(/ -1/2 x)
(/ (+ (* -1/2 (sqrt x)) (* -1/2 (* x (- (* 1/2 (sqrt x)) (sqrt x))))) (pow x 3))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (* x (- (sqrt x) (* 1/4 (sqrt x))))) (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x)))))) (pow x 3))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -1/2 (- (sqrt x) (* 1/4 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3))
(* 1/2 (sqrt x))
(sqrt x)
(pow x 2)
(* -3/8 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(* -3/8 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(* 3/4 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1 (sqrt (pow x 3))) (* 3/4 (sqrt x))) (pow x 2))
(* -1 (sqrt (/ 1 x)))
(* -3/8 (sqrt (/ 1 x)))
(/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)
(* 3/4 (sqrt (/ 1 x)))
(sqrt (/ 1 (pow x 5)))
(/ (+ (sqrt x) (* x (- (* 1/2 (sqrt x)) (sqrt x)))) (pow x 3))
(/ (+ (sqrt x) (* x (- (+ (* 1/2 (sqrt x)) (* x (- (sqrt x) (* 1/4 (sqrt x))))) (sqrt x)))) (pow x 3))
(/ (+ (sqrt x) (* x (- (+ (* 1/2 (sqrt x)) (* x (- (+ (sqrt x) (* -1 (sqrt (pow x 3)))) (* 1/4 (sqrt x))))) (sqrt x)))) (pow x 3))
(/ (+ (sqrt x) (* x (- (+ (* 1/2 (sqrt x)) (* 3/4 (sqrt (pow x 3)))) (sqrt x)))) (pow x 3))
(/ (+ (sqrt x) (* x (- (+ (* 1/2 (sqrt x)) (* x (+ (* -1 (sqrt (pow x 3))) (* 3/4 (sqrt x))))) (sqrt x)))) (pow x 3))
(+ (sqrt x) (* x (- (* 1/2 (sqrt x)) (sqrt x))))
(+ (sqrt x) (* x (- (+ (* 1/2 (sqrt x)) (* 3/4 (sqrt (pow x 3)))) (sqrt x))))
(+ (sqrt x) (* x (- (+ (* 1/2 (sqrt x)) (* x (+ (* -1 (sqrt (pow x 3))) (* 3/4 (sqrt x))))) (sqrt x))))
(- (* 1/2 (sqrt x)) (sqrt x))
(- (+ (* 1/2 (sqrt x)) (* 3/4 (sqrt (pow x 3)))) (sqrt x))
(- (+ (* 1/2 (sqrt x)) (* x (+ (* -1 (sqrt (pow x 3))) (* 3/4 (sqrt x))))) (sqrt x))
(+ (* 1/2 (sqrt x)) (* 3/4 (sqrt (pow x 3))))
(+ (* 1/2 (sqrt x)) (* x (+ (* -1 (sqrt (pow x 3))) (* 3/4 (sqrt x)))))
(* 3/4 (sqrt x))
(+ (* -1 (sqrt (pow x 3))) (* 3/4 (sqrt x)))
(sqrt (pow x 3))
(pow x 3)
(* 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 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x))))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))))) x)
(/ (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) x)
(* 1/2 (sqrt (/ 1 x)))
(+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))
(/ (+ (* -3/8 (sqrt (/ 1 x))) (* 1/4 (sqrt (/ 1 (pow x 3))))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 3/4 (sqrt (/ 1 x)))) x)
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 3/4 (sqrt (/ 1 x))))
(* x (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))))
(* x (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x))))))
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))))))
(- (* 3/4 (sqrt (/ 1 (pow x 3)))) (sqrt (/ 1 x)))
(* x (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(* -1 (sqrt x))
(* x (- (sqrt (/ 1 (pow x 3))) (+ (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 (pow x 3)))))))
(* x (- (+ (sqrt (/ 1 (pow x 3))) (* 1/2 (sqrt (/ 1 (pow x 5))))) (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 5))) (* 1/4 (sqrt (/ 1 (pow x 3))))))))
(* x (- (+ (sqrt (/ 1 (pow x 3))) (+ (sqrt (/ 1 (pow x 7))) (* 1/2 (sqrt (/ 1 (pow x 5)))))) (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 5))) (* 1/4 (sqrt (/ 1 (pow x 3))))))))
(* x (+ (* -1 (sqrt (/ 1 x))) (* 3/4 (sqrt (/ 1 (pow x 3))))))
(* x (- (+ (* -1 (sqrt (/ 1 x))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 3/4 (sqrt (/ 1 (pow x 3)))))) (sqrt (/ 1 (pow x 5)))))
(* x (- (+ (sqrt (/ 1 (pow x 7))) (+ (* -1 (sqrt (/ 1 x))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 3/4 (sqrt (/ 1 (pow x 3))))))) (sqrt (/ 1 (pow x 5)))))
(* -1 (sqrt (pow x 7)))
(* (pow x 4) (+ (* -1 (sqrt (/ 1 x))) (* 3/4 (sqrt (/ 1 (pow x 3))))))
(* (pow x 4) (- (+ (* -1 (sqrt (/ 1 x))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 3/4 (sqrt (/ 1 (pow x 3)))))) (sqrt (/ 1 (pow x 5)))))
(* (pow x 4) (- (+ (sqrt (/ 1 (pow x 7))) (+ (* -1 (sqrt (/ 1 x))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 3/4 (sqrt (/ 1 (pow x 3))))))) (sqrt (/ 1 (pow x 5)))))
(* -1 (sqrt (pow x 5)))
(* (pow x 3) (+ (* -1 (sqrt (/ 1 x))) (* 3/4 (sqrt (/ 1 (pow x 3))))))
(* (pow x 3) (- (+ (* -1 (sqrt (/ 1 x))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 3/4 (sqrt (/ 1 (pow x 3)))))) (sqrt (/ 1 (pow x 5)))))
(* (pow x 3) (+ (* -1 (sqrt (/ 1 x))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 3/4 (sqrt (/ 1 (pow x 3)))))))
(* -1 (sqrt (pow x 3)))
(* (pow x 2) (+ (* -1 (sqrt (/ 1 x))) (* 3/4 (sqrt (/ 1 (pow x 3))))))
(- (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))))
(* -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 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (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))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* -3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* 3/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* -3/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(* 3/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (* 3/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* (sqrt x) (pow (sqrt -1) 2))
(* -1 (* x (- (* -1 (/ (- (* (sqrt (/ 1 x)) (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 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* (sqrt (/ 1 x)) (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 (/ (- (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* 3/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* -3/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (- (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* -3/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (pow x 7)) (pow (sqrt -1) 2)))
(* (pow x 4) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -3/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(* (pow x 4) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) x))))
(* (pow x 4) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1 (- (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (* 3/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
(* -1 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))
(* -1 (* (pow x 3) (+ (* 3/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* -3/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -3/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -3/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* -3/4 (* (sqrt x) (pow (sqrt -1) 2)))
Calls

3 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/ (+ (* (sqrt (/ 1 x)) 1/2) (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (/ -1/2 x))) x))) x) (+ (* (sqrt (/ 1 x)) 1/2) (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (/ -1/2 x))) x))) (sqrt (/ 1 x)) (/ 1 x) 1 x 1/2 (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (/ -1/2 x))) x)) -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (/ -1/2 x))) x) (+ (* 3/4 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (/ -1/2 x))) 3/4 (* (sqrt (/ 1 x)) (/ -1/2 x)) (/ -1/2 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* 1/2 (sqrt x)) (sqrt x) (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/ (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) x) (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x))) (neg (sqrt (/ 1 x))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) x) (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x))) (/ (* 3/4 (sqrt (/ 1 x))) x) (* 3/4 (sqrt (/ 1 x))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) (/ (+ (* (- (+ (* (+ (* (sqrt (pow x 3)) -1) (* 3/4 (sqrt x))) x) (* 1/2 (sqrt x))) (sqrt x)) x) (sqrt x)) (pow x 3)) (+ (* (- (+ (* (+ (* (sqrt (pow x 3)) -1) (* 3/4 (sqrt x))) x) (* 1/2 (sqrt x))) (sqrt x)) x) (sqrt x)) (- (+ (* (+ (* (sqrt (pow x 3)) -1) (* 3/4 (sqrt x))) x) (* 1/2 (sqrt x))) (sqrt x)) (+ (* (+ (* (sqrt (pow x 3)) -1) (* 3/4 (sqrt x))) x) (* 1/2 (sqrt x))) (+ (* (sqrt (pow x 3)) -1) (* 3/4 (sqrt x))) (sqrt (pow x 3)) (pow x 3) 3 -1 (* 3/4 (sqrt x)))
7.0ms
x
@0
((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/ (+ (* (sqrt (/ 1 x)) 1/2) (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (/ -1/2 x))) x))) x) (+ (* (sqrt (/ 1 x)) 1/2) (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (/ -1/2 x))) x))) (sqrt (/ 1 x)) (/ 1 x) 1 x 1/2 (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (/ -1/2 x))) x)) -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (/ -1/2 x))) x) (+ (* 3/4 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (/ -1/2 x))) 3/4 (* (sqrt (/ 1 x)) (/ -1/2 x)) (/ -1/2 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* 1/2 (sqrt x)) (sqrt x) (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/ (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) x) (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x))) (neg (sqrt (/ 1 x))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) x) (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x))) (/ (* 3/4 (sqrt (/ 1 x))) x) (* 3/4 (sqrt (/ 1 x))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) (/ (+ (* (- (+ (* (+ (* (sqrt (pow x 3)) -1) (* 3/4 (sqrt x))) x) (* 1/2 (sqrt x))) (sqrt x)) x) (sqrt x)) (pow x 3)) (+ (* (- (+ (* (+ (* (sqrt (pow x 3)) -1) (* 3/4 (sqrt x))) x) (* 1/2 (sqrt x))) (sqrt x)) x) (sqrt x)) (- (+ (* (+ (* (sqrt (pow x 3)) -1) (* 3/4 (sqrt x))) x) (* 1/2 (sqrt x))) (sqrt x)) (+ (* (+ (* (sqrt (pow x 3)) -1) (* 3/4 (sqrt x))) x) (* 1/2 (sqrt x))) (+ (* (sqrt (pow x 3)) -1) (* 3/4 (sqrt x))) (sqrt (pow x 3)) (pow x 3) 3 -1 (* 3/4 (sqrt x)))
5.0ms
x
@inf
((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/ (+ (* (sqrt (/ 1 x)) 1/2) (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (/ -1/2 x))) x))) x) (+ (* (sqrt (/ 1 x)) 1/2) (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (/ -1/2 x))) x))) (sqrt (/ 1 x)) (/ 1 x) 1 x 1/2 (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (/ -1/2 x))) x)) -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (/ -1/2 x))) x) (+ (* 3/4 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (/ -1/2 x))) 3/4 (* (sqrt (/ 1 x)) (/ -1/2 x)) (/ -1/2 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* 1/2 (sqrt x)) (sqrt x) (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/ (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) x) (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x))) (neg (sqrt (/ 1 x))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) x) (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x))) (/ (* 3/4 (sqrt (/ 1 x))) x) (* 3/4 (sqrt (/ 1 x))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) (/ (+ (* (- (+ (* (+ (* (sqrt (pow x 3)) -1) (* 3/4 (sqrt x))) x) (* 1/2 (sqrt x))) (sqrt x)) x) (sqrt x)) (pow x 3)) (+ (* (- (+ (* (+ (* (sqrt (pow x 3)) -1) (* 3/4 (sqrt x))) x) (* 1/2 (sqrt x))) (sqrt x)) x) (sqrt x)) (- (+ (* (+ (* (sqrt (pow x 3)) -1) (* 3/4 (sqrt x))) x) (* 1/2 (sqrt x))) (sqrt x)) (+ (* (+ (* (sqrt (pow x 3)) -1) (* 3/4 (sqrt x))) x) (* 1/2 (sqrt x))) (+ (* (sqrt (pow x 3)) -1) (* 3/4 (sqrt x))) (sqrt (pow x 3)) (pow x 3) 3 -1 (* 3/4 (sqrt x)))

simplify162.0ms (3.2%)

Memory
20.5MiB live, 153.4MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03943159
113592417
265472413
083032299
Stop Event
iter limit
node limit
Counts
141 → 140
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 9))))
(/ (+ (* -1/2 (sqrt x)) (* -1/2 (* x (- (* 1/2 (sqrt x)) (sqrt x))))) (pow x 5))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (* x (- (sqrt x) (* 1/4 (sqrt x))))) (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x)))))) (pow x 5))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -1/2 (- (sqrt x) (* 1/4 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))))) (pow x 5))
(* 1/4 (sqrt (/ 1 (pow x 7))))
(/ (+ (* -3/8 (sqrt (pow x 3))) (* 1/4 (sqrt x))) (pow x 4))
(/ (+ (* 1/4 (sqrt x)) (* x (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 4))
(* 1/4 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -3/8 (sqrt (pow x 3))) (* 1/4 (sqrt x))) (pow x 3))
(/ (+ (* 1/4 (sqrt x)) (* x (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))
(/ 1 x)
x
(* -1/2 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -1/2 (sqrt x)) (* 3/4 (sqrt (pow x 3)))) (pow x 3))
(* -1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/2 (sqrt x)) (* 3/4 (sqrt (pow x 3)))) (pow x 2))
(/ -1/2 x)
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(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (* x (- (sqrt x) (* 1/4 (sqrt x))))) (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x)))))) (pow x 3))
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(* 1/2 (sqrt x))
(sqrt x)
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(/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
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(sqrt (/ 1 (pow x 5)))
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(/ (+ (sqrt x) (* x (- (+ (* 1/2 (sqrt x)) (* x (+ (* -1 (sqrt (pow x 3))) (* 3/4 (sqrt x))))) (sqrt x)))) (pow x 3))
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(+ (* 1/2 (sqrt x)) (* 3/4 (sqrt (pow x 3))))
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(* 3/4 (sqrt x))
(+ (* -1 (sqrt (pow x 3))) (* 3/4 (sqrt x)))
(sqrt (pow x 3))
(pow x 3)
(* 1/2 (sqrt (/ 1 (pow x 3))))
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(/ (- (* -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 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))) x)
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(/ (+ (* -3/8 (sqrt (/ 1 x))) (* 1/4 (sqrt (/ 1 (pow x 3))))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 3/4 (sqrt (/ 1 x)))) x)
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 3/4 (sqrt (/ 1 x))))
(* x (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))))
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(* 3/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* -3/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(* 3/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
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(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
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(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (* 3/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* (sqrt x) (pow (sqrt -1) 2))
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(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* (sqrt (/ 1 x)) (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 (/ (- (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* 3/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* -3/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (- (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* -3/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (pow x 7)) (pow (sqrt -1) 2)))
(* (pow x 4) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -3/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(* (pow x 4) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) x))))
(* (pow x 4) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1 (- (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (* 3/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
(* -1 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))
(* -1 (* (pow x 3) (+ (* 3/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* -3/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -3/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -3/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* -3/4 (* (sqrt 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) x)
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x)
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)
(/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x)
(* -1/2 (sqrt (/ 1 (pow x 9))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (sqrt x)) (* -1/2 (* x (- (* 1/2 (sqrt x)) (sqrt x))))) (pow x 5))
(*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x (sqrt.f64 x)) (pow.f64 x #s(literal 5 binary64))))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (* x (- (sqrt x) (* 1/4 (sqrt x))))) (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x)))))) (pow x 5))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (fma.f64 (*.f64 x #s(literal 3/4 binary64)) (sqrt.f64 x) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 5 binary64)))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -1/2 (- (sqrt x) (* 1/4 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))))) (pow x 5))
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x (sqrt.f64 x)) #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))))) (pow.f64 x #s(literal 5 binary64)))
(* 1/4 (sqrt (/ 1 (pow x 7))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/4 binary64))
(/ (+ (* -3/8 (sqrt (pow x 3))) (* 1/4 (sqrt x))) (pow x 4))
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(/ (+ (* 1/4 (sqrt x)) (* x (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 4))
(/.f64 (fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/4 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(* 1/4 (sqrt (/ 1 (pow x 5))))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
(/ (+ (* -3/8 (sqrt (pow x 3))) (* 1/4 (sqrt x))) (pow x 3))
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ (* 1/4 (sqrt x)) (* x (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))
(/.f64 (fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/4 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
x
(* -1/2 (sqrt (/ 1 (pow x 5))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (sqrt x)) (* 3/4 (sqrt (pow x 3)))) (pow x 3))
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 3/4 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(* -1/2 (sqrt (/ 1 (pow x 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (sqrt x)) (* 3/4 (sqrt (pow x 3)))) (pow x 2))
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 3/4 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (+ (* -1/2 (sqrt x)) (* -1/2 (* x (- (* 1/2 (sqrt x)) (sqrt x))))) (pow x 3))
(*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64))))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (* x (- (sqrt x) (* 1/4 (sqrt x))))) (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x)))))) (pow x 3))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (fma.f64 (*.f64 x #s(literal 3/4 binary64)) (sqrt.f64 x) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -1/2 (- (sqrt x) (* 1/4 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3))
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x (sqrt.f64 x)) #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))))) (pow.f64 x #s(literal 3 binary64)))
(* 1/2 (sqrt x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(sqrt x)
(sqrt.f64 x)
(pow x 2)
(*.f64 x x)
(* -3/8 (sqrt (/ 1 (pow x 5))))
(*.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
(/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(* -3/8 (sqrt (/ 1 (pow x 3))))
(*.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 x))) (*.f64 x x))
(* 3/4 (sqrt (/ 1 (pow x 3))))
(*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/ (+ (* -1 (sqrt (pow x 3))) (* 3/4 (sqrt x))) (pow x 2))
(/.f64 (-.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(* -1 (sqrt (/ 1 x)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -3/8 (sqrt (/ 1 x)))
(*.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 x))) x)
(* 3/4 (sqrt (/ 1 x)))
(*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt (/ 1 (pow x 5)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(/ (+ (sqrt x) (* x (- (* 1/2 (sqrt x)) (sqrt x)))) (pow x 3))
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ (sqrt x) (* x (- (+ (* 1/2 (sqrt x)) (* x (- (sqrt x) (* 1/4 (sqrt x))))) (sqrt x)))) (pow x 3))
(/.f64 (fma.f64 (fma.f64 (*.f64 x #s(literal 3/4 binary64)) (sqrt.f64 x) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ (sqrt x) (* x (- (+ (* 1/2 (sqrt x)) (* x (- (+ (sqrt x) (* -1 (sqrt (pow x 3)))) (* 1/4 (sqrt x))))) (sqrt x)))) (pow x 3))
(/.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) x (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ (sqrt x) (* x (- (+ (* 1/2 (sqrt x)) (* 3/4 (sqrt (pow x 3)))) (sqrt x)))) (pow x 3))
(/.f64 (fma.f64 (-.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 3/4 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) x (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ (sqrt x) (* x (- (+ (* 1/2 (sqrt x)) (* x (+ (* -1 (sqrt (pow x 3))) (* 3/4 (sqrt x))))) (sqrt x)))) (pow x 3))
(/.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) x (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64)))
(+ (sqrt x) (* x (- (* 1/2 (sqrt x)) (sqrt x))))
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x (sqrt.f64 x))
(+ (sqrt x) (* x (- (+ (* 1/2 (sqrt x)) (* 3/4 (sqrt (pow x 3)))) (sqrt x))))
(fma.f64 (-.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 3/4 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) x (sqrt.f64 x))
(+ (sqrt x) (* x (- (+ (* 1/2 (sqrt x)) (* x (+ (* -1 (sqrt (pow x 3))) (* 3/4 (sqrt x))))) (sqrt x))))
(fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) x (sqrt.f64 x))
(- (* 1/2 (sqrt x)) (sqrt x))
(-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(- (+ (* 1/2 (sqrt x)) (* 3/4 (sqrt (pow x 3)))) (sqrt x))
(-.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 3/4 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (sqrt.f64 x))
(- (+ (* 1/2 (sqrt x)) (* x (+ (* -1 (sqrt (pow x 3))) (* 3/4 (sqrt x))))) (sqrt x))
(-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (sqrt.f64 x))
(+ (* 1/2 (sqrt x)) (* 3/4 (sqrt (pow x 3))))
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 3/4 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(+ (* 1/2 (sqrt x)) (* x (+ (* -1 (sqrt (pow x 3))) (* 3/4 (sqrt x)))))
(fma.f64 (-.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(* 3/4 (sqrt x))
(*.f64 #s(literal 3/4 binary64) (sqrt.f64 x))
(+ (* -1 (sqrt (pow x 3))) (* 3/4 (sqrt x)))
(-.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(sqrt (pow x 3))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.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 (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 x) (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 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 x))) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 x x))
(/ (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))) x)
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 3/4 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/ (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x))))) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))))) x)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) x)
(/ (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/.f64 (fma.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) x)
(/ (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) x)
(/.f64 (fma.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) x)
(* 1/2 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(fma.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))
(fma.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))
(/ (+ (* -3/8 (sqrt (/ 1 x))) (* 1/4 (sqrt (/ 1 (pow x 3))))) x)
(/.f64 (fma.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 3/4 (sqrt (/ 1 x)))) x)
(/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64))) x)
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 3/4 (sqrt (/ 1 x))))
(fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64)))
(* x (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 3/4 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* x (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) x)
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))))))
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(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 #s(literal 5/4 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 x))) x) #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (* x (+ (* 3/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* -3/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) x)) (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (- (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* -3/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) x)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* -1 (* (sqrt (pow x 7)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 1 binary64))
(* (pow x 4) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -3/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) x))))
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 #s(literal -3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1 (- (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (* 3/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) x)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1 binary64))
(* -1 (* (pow x 3) (+ (* 3/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* -3/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) x)) (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -3/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (fma.f64 #s(literal -3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -3/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 x x))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(* -3/4 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3/4 binary64) (sqrt.f64 x))

rewrite133.0ms (2.7%)

Memory
-4.0MiB live, 87.8MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821250
01211184
14431030
03592979
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
50 → 417
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/2 binary64) x))) x))) x)))
#s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/2 binary64) x))) x))) x))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/2 binary64) x))) x))) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/2 binary64) x))) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/2 binary64) x))) x))
#s(literal -1/2 binary64)
(/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/2 binary64) x))) x)
(fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/2 binary64) x)))
#s(literal 3/4 binary64)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
(/.f64 #s(approx (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))
#s(approx (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(sqrt.f64 x)
(*.f64 x x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)))
#s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x))
(/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)
(*.f64 #s(literal -1/2 binary64) #s(approx (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) (*.f64 x x)))
(/.f64 #s(approx (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) (*.f64 x x))
#s(approx (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))
(*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) x (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 x x)))
(/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) x (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 x x))
(*.f64 #s(literal -1/2 binary64) #s(approx (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) x (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) x (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) x (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (-.f64 (fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) x (sqrt.f64 x))
(-.f64 (fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (sqrt.f64 x))
(fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x)))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal -1 binary64)
(*.f64 #s(literal 3/4 binary64) (sqrt.f64 x))
Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal -1/2 binary64) x))) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
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x
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(fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/4 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) x (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/4 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) x))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/4 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) x))
(fma.f64 x (fma.f64 (sqrt.f64 x) #s(literal 3/4 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/4 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/4 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) x (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) x) (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/4 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) x (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))))
(-.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/4 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) x) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/4 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) x) (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))
(-.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/4 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))) x))
(-.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 x) #s(literal 3/4 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/4 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (-.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/4 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) x)) (pow.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/4 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) x) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (-.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/4 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) x)) (pow.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/4 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) x) #s(literal 2 binary64)))))
(+.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/4 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) x) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/4 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) x))
(/.f64 (-.f64 (*.f64 #s(literal 9/16 binary64) x) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 (sqrt.f64 x) #s(literal 3/4 binary64)) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -3/4 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 9/16 binary64) x (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (*.f64 #s(literal -3/4 binary64) (sqrt.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 9/16 binary64) x))) (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal -3/4 binary64) (sqrt.f64 x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27/64 binary64) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 (*.f64 #s(literal 9/16 binary64) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3/4 binary64)))) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 9/16 binary64) x)) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal -3/4 binary64) (sqrt.f64 x))))
(/.f64 (fma.f64 #s(literal 27/64 binary64) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal 9/16 binary64) x (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3/4 binary64))))))
(/.f64 (fma.f64 #s(literal 27/64 binary64) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 3 binary64))) (+.f64 (-.f64 (*.f64 #s(literal 9/16 binary64) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3/4 binary64)))) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3/4 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3/4 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 3/4 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(fma.f64 #s(literal 3/4 binary64) (sqrt.f64 x) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal -3/4 binary64) (sqrt.f64 x)))) (/.f64 (*.f64 #s(literal 9/16 binary64) x) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal -3/4 binary64) (sqrt.f64 x)))))
(-.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3/4 binary64)))
(-.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (*.f64 #s(literal -3/4 binary64) (sqrt.f64 x)))
(-.f64 (*.f64 (sqrt.f64 x) #s(literal 3/4 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1 binary64)))
(-.f64 (*.f64 (sqrt.f64 x) #s(literal 3/4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))))
(+.f64 (/.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 3 binary64)) (+.f64 (-.f64 (*.f64 #s(literal 9/16 binary64) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3/4 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 27/64 binary64) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 (-.f64 (*.f64 #s(literal 9/16 binary64) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3/4 binary64)))) (pow.f64 x #s(literal 3 binary64)))))
(+.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3/4 binary64)))
(+.f64 (*.f64 (sqrt.f64 x) #s(literal 3/4 binary64)) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) x)
(*.f64 x (sqrt.f64 x))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 3 binary64))
(pow.f64 x #s(literal 3/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3/2 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(fabs.f64 (pow.f64 x #s(literal 3/2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64)))
(*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(*.f64 (fabs.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (fabs.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))
(*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) x)
(*.f64 x (*.f64 x x))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
#s(literal 3 binary64)
#s(literal -1 binary64)
(*.f64 (sqrt.f64 x) #s(literal 3/4 binary64))
(*.f64 #s(literal 3/4 binary64) (sqrt.f64 x))

eval122.0ms (2.4%)

Memory
5.5MiB live, 145.5MiB allocated; 26ms collecting garbage
Compiler

Compiled 72 668 to 5 587 computations (92.3% saved)

prune52.0ms (1%)

Memory
-2.2MiB live, 90.8MiB allocated; 5ms collecting garbage
Pruning

21 alts after pruning (15 fresh and 6 done)

PrunedKeptTotal
New8936899
Fresh2911
Picked415
Done055
Total89921920
Accuracy
99.8%
Counts
920 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.0%
(/.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -3 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -3 binary64))) (fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 (sqrt.f64 x) #s(literal -2 binary64))))
37.0%
(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
29.6%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
36.9%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
81.1%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x)))
97.5%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
27.7%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) x (sqrt.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))) (*.f64 x x)))
30.4%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/4 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) x (-.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (sqrt.f64 x))) x (sqrt.f64 x)) (*.f64 x x)) x))) (*.f64 x x)))
81.0%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) (*.f64 x x)))
80.0%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
5.7%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
97.9%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
80.1%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
96.7%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) x)) #s(literal 1/2 binary64)))
66.8%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
5.7%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
98.8%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (neg.f64 x)))) x))) x)))
97.8%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 x #s(literal -1 binary64))) (*.f64 x (neg.f64 (sqrt.f64 x))))) x)))
98.7%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
97.6%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 x)) 1/2) (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (/ -1/2 x))) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) x)))
97.5%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (*.f64 #s(approx (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) x))))
Compiler

Compiled 2 530 to 868 computations (65.7% saved)

regimes18.0ms (0.4%)

Memory
21.2MiB live, 21.2MiB allocated; 0ms collecting garbage
Counts
35 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) x)) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (*.f64 #s(approx (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 x)) 1/2) (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (/ -1/2 x))) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(approx (/ 1 (* x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x)) #s(literal 1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 x #s(literal -1 binary64))) (*.f64 x (neg.f64 (sqrt.f64 x))))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (neg.f64 x)))) x))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/2 binary64) x))) x))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/4 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) x (-.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (sqrt.f64 x))) x (sqrt.f64 x)) (*.f64 x x)) x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) x (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) x (sqrt.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -3 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -3 binary64))) (fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 (sqrt.f64 x) #s(literal -2 binary64))))
Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (neg.f64 x)))) x))) x)))
Calls

2 calls:

9.0ms
x
6.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
98.8%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
98.8%1x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes14.0ms (0.3%)

Memory
-36.9MiB live, 14.5MiB allocated; 5ms collecting garbage
Counts
23 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) x)) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (*.f64 #s(approx (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 x)) 1/2) (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (/ -1/2 x))) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(approx (/ 1 (* x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x)) #s(literal 1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 x #s(literal -1 binary64))) (*.f64 x (neg.f64 (sqrt.f64 x))))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
Calls

2 calls:

6.0ms
x
4.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
98.7%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
98.7%1x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.2%)

Memory
11.0MiB live, 11.0MiB allocated; 0ms collecting garbage
Counts
16 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) x)) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (*.f64 #s(approx (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 x)) 1/2) (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (/ -1/2 x))) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(approx (/ 1 (* x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x)) #s(literal 1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 x)) 1/2) (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (/ -1/2 x))) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) x)))
Calls

2 calls:

4.0ms
x
3.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
97.6%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
97.6%1x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB allocated; 0ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) x)) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (*.f64 #s(approx (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) x))))
Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
Calls

2 calls:

2.0ms
x
2.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
97.5%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
97.5%1x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0.1%)

Memory
4.8MiB live, 4.8MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
Calls

2 calls:

1.0ms
x
1.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
80.0%1x
80.0%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 9 computations (25% saved)

regimes3.0ms (0.1%)

Memory
4.5MiB live, 4.5MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
x
1.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
5.7%1x
5.7%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 9 computations (25% saved)

simplify53.0ms (1%)

Memory
-3.1MiB live, 43.4MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
077325
1135320
2346320
31215320
45679320
Stop Event
node limit
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (neg.f64 x)))) x))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 x)) 1/2) (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (/ -1/2 x))) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (neg.f64 x)))) x))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 x) x))) x))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 x)) 1/2) (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (/ -1/2 x))) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (- (* (sqrt (/ 1 (pow x 5))) (+ (* 1/2 x) 1)) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))

derivations389.0ms (7.8%)

Memory
-24.8MiB live, 158.0MiB allocated; 53ms collecting garbage
Stop Event
fuel
Compiler

Compiled 325 to 81 computations (75.1% saved)

preprocess29.0ms (0.6%)

Memory
39.5MiB live, 39.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 690 to 192 computations (72.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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