2isqrt (example 3.6)

Time bar (total: 5.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated
Algorithm
1×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)

sample1.8s (30.3%)

Memory
36.5MiB live, 1 996.2MiB allocated
Samples
1.1s6 896×1valid
245.0ms1 122×2valid
19.0ms238×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-sqrt: 280.0ms (25.1% of total)
ival-div: 248.0ms (22.2% of total)
adjust: 180.0ms (16.1% of total)
const: 123.0ms (11% of total)
ival-add: 82.0ms (7.3% of total)
ival->: 81.0ms (7.3% of total)
ival-sub: 80.0ms (7.2% of total)
ival-<: 21.0ms (1.9% of total)
ival-and: 11.0ms (1% of total)
exact: 8.0ms (0.7% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain150.0ms (2.6%)

Memory
-16.3MiB live, 203.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1750-0-(-.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)))))cancellation1750
Confusion
Predicted +Predicted -
+1750
-081
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+17500
-0081
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
081
1175
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
65.0ms440×1valid
10.0ms50×2valid
1.0ms22×0valid
Compiler

Compiled 111 to 36 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-sqrt: 20.0ms (35.8% of total)
ival-div: 16.0ms (28.6% of total)
adjust: 9.0ms (16.1% of total)
ival-add: 5.0ms (8.9% of total)
ival-sub: 5.0ms (8.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess36.0ms (0.6%)

Memory
13.2MiB live, 49.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01027
12025
25024
310524
419124
524924
630224
732024
833024
0811
01411
11911
22711
33911
45811
510011
616411
720911
822511
923511
1023911
023911
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
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
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶39.1%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize54.0ms (0.9%)

Memory
-14.7MiB live, 105.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sqrt.f64 x)
accuracy0.25
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
accuracy0.26171875
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
accuracy38.95421751189848
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Samples
30.0ms220×1valid
13.0ms25×2valid
1.0ms11×0valid
Compiler

Compiled 66 to 18 computations (72.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-sqrt: 16.0ms (47.8% of total)
ival-div: 8.0ms (23.9% of total)
adjust: 5.0ms (15% of total)
ival-add: 2.0ms (6% of total)
ival-sub: 2.0ms (6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
5.9MiB live, 5.9MiB allocated
Counts
4 → 25
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))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 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
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 3/8 x) 1/2)))
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))
(sqrt 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)))))))
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* (sqrt (/ 1 x)) (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 (* (sqrt x) (pow (sqrt -1) 2)))
Calls

3 calls:

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

simplify21.0ms (0.4%)

Memory
17.5MiB live, 17.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114463
0349430
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
Counts
25 → 25
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
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 3/8 x) 1/2)))
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))
(sqrt 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)))))))
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* (sqrt (/ 1 x)) (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 (* (sqrt x) (pow (sqrt -1) 2)))
Outputs
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ (+ (sqrt x) (* -1 x)) x)
(/.f64 (fma.f64 #s(literal -1 binary64) x (sqrt.f64 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
#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))
(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))
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.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 (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))))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 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 (*.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))))) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.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))))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (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))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 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))) (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)))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (fma.f64 (*.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))) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/2 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)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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)))
(-.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))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (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))))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(-.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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))) #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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)) (pow (sqrt -1) 2))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (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) (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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 5 binary64)))) #s(literal 1/2 binary64))))
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x)))

rewrite185.0ms (3.2%)

Memory
-7.8MiB live, 110.0MiB allocated
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0823
01423
16719
258219
3706517
0809117
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 294
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))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 x)
Outputs
(*.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sinh.f64 (acosh.f64 x))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal -1 binary64))
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(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (hypot.f64 (sqrt.f64 x) x)) (neg.f64 (/.f64 (sqrt.f64 x) (hypot.f64 (sqrt.f64 x) x))))
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(fma.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (atan.f64 (sqrt.f64 x)))) (pow.f64 x #s(literal -1/2 binary64)))
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(-.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))
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(-.f64 (/.f64 (pow.f64 x #s(literal -3/2 binary64)) (+.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))) (pow.f64 x #s(literal -1 binary64)))) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64)) (+.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))) (pow.f64 x #s(literal -1 binary64)))))
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(+.f64 (/.f64 (pow.f64 x #s(literal -3/2 binary64)) (+.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))) (pow.f64 x #s(literal -1 binary64)))) (/.f64 (neg.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64))) (+.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))) (pow.f64 x #s(literal -1 binary64)))))
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(+.f64 (neg.f64 (cos.f64 (atan.f64 (sqrt.f64 x)))) (pow.f64 x #s(literal -1/2 binary64)))
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (cos.f64 (atan.f64 (sqrt.f64 x)))))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
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(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
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(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
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(pow.f64 x #s(literal -1/2 binary64))
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(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
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(-.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(fabs.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(fabs.f64 (pow.f64 x #s(literal -1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x))))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 (acosh.f64 x))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(*.f64 (cos.f64 (atan.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (*.f64 #s(literal 1 binary64) (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 (neg.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))) (neg.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 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 (neg.f64 (cos.f64 (atan.f64 (sqrt.f64 x)))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (atan.f64 (sqrt.f64 x)))))
(*.f64 (cos.f64 (atan.f64 (sqrt.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 (sqrt.f64 x))))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64)) #s(literal 2 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))
(/.f64 (/.f64 #s(literal 1 binary64) (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))) (sinh.f64 (acosh.f64 x)))
(/.f64 (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (cos.f64 (atan.f64 (sqrt.f64 x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(neg.f64 (neg.f64 (cos.f64 (atan.f64 (sqrt.f64 x)))))
(sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (cosh.f64 (*.f64 #s(literal -1/2 binary64) (log1p.f64 x))) (sinh.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (atan.f64 (sqrt.f64 x)))))
(fabs.f64 (neg.f64 (cos.f64 (atan.f64 (sqrt.f64 x)))))
(fabs.f64 (cos.f64 (atan.f64 (sqrt.f64 x))))
(cos.f64 (atan.f64 (fabs.f64 (neg.f64 (sqrt.f64 x)))))
(cos.f64 (atan.f64 (sqrt.f64 x)))
(cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))
(+.f64 (cosh.f64 (*.f64 (log1p.f64 x) #s(literal -1/2 binary64))) (sinh.f64 (*.f64 (log1p.f64 x) #s(literal -1/2 binary64))))
(+.f64 (cosh.f64 (*.f64 #s(literal -1/2 binary64) (log1p.f64 x))) (sinh.f64 (*.f64 #s(literal -1/2 binary64) (log1p.f64 x))))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log1p.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (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 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(neg.f64 (neg.f64 (sqrt.f64 x)))
(sqrt.f64 x)
(-.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 x)))
(fabs.f64 (sqrt.f64 x))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x))))
(exp.f64 (log.f64 (sqrt.f64 x)))

eval39.0ms (0.7%)

Memory
26.8MiB live, 62.3MiB allocated
Compiler

Compiled 7 512 to 866 computations (88.5% saved)

prune14.0ms (0.2%)

Memory
-10.2MiB live, 25.9MiB allocated
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New30910319
Fresh000
Picked011
Done000
Total30911320
Accuracy
88.1%
Counts
320 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶39.2%
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
39.2%
(/.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))))
5.4%
(/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) (+.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))) (pow.f64 x #s(literal -1 binary64)))))
41.2%
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (hypot.f64 (sqrt.f64 x) x)))
▶41.2%
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶41.1%
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
39.2%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x))))
✓39.1%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶85.8%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (*.f64 x x)))
72.9%
#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)))
▶5.8%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 423 to 262 computations (38.1% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize184.0ms (3.2%)

Memory
-25.8MiB live, 185.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.015625
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
accuracy0.221035009768442
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
accuracy26.804537003122828
(pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))
accuracy58.60804251561837
(-.f64 (+.f64 x #s(literal 1 binary64)) x)
accuracy0.15625
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
accuracy0.26171875
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
accuracy0.50390625
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
accuracy58.60804251561837
(-.f64 (+.f64 x #s(literal 1 binary64)) x)
accuracy0.0
(sqrt.f64 x)
accuracy0.236660009768442
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
accuracy0.3639450195368841
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
accuracy59.48643759661276
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
accuracy0.0
(/.f64 #s(literal 1 binary64) x)
accuracy0.11328125
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy60.292170126448866
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
accuracy0.01953125
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
accuracy0.11328125
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy1.3857194203752161
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (*.f64 x x)))
accuracy7.728653786274058
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (*.f64 x x))
Samples
114.0ms220×1valid
29.0ms25×2valid
3.0ms11×0valid
Compiler

Compiled 557 to 68 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 113.0ms
ival-div: 26.0ms (22.9% of total)
ival-mult: 19.0ms (16.8% of total)
adjust: 18.0ms (15.9% of total)
ival-sub: 18.0ms (15.9% of total)
ival-sqrt: 11.0ms (9.7% of total)
ival-pow: 11.0ms (9.7% of total)
ival-add: 7.0ms (6.2% of total)
ival-neg: 2.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series25.0ms (0.4%)

Memory
-4.1MiB live, 32.9MiB allocated
Counts
17 → 101
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (*.f64 x x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (*.f64 x x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) x)
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
(sqrt.f64 x)
(-.f64 (+.f64 x #s(literal 1 binary64)) x)
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
Outputs
(* -1/2 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(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) (* -1 (sqrt (pow x 3)))) x)
(/ 1 x)
(- 1 (sqrt x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/2 (- 1 (sqrt x)))))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (* 3/8 (- 1 (sqrt x))) 3/8)))))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (+ (* 3/8 (- 1 (sqrt x))) (* x (+ 5/16 (* -5/16 (- 1 (sqrt x)))))) 3/8)))))) (sqrt x))
(* (sqrt (/ 1 x)) (- 1 (sqrt x)))
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x)
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x)
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x)
(sqrt x)
1
(* -1 (+ 1 (sqrt x)))
(+ (* -1 (* x (+ 1/2 (* 1/2 (+ 1 (sqrt x)))))) (* -1 (+ 1 (sqrt x))))
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (* x (+ 1/8 (* -1/8 (+ 1 (sqrt x)))))) (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x))))))))
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x))))) (* x (+ (* -1 (* x (- (* 1/16 (+ 1 (sqrt x))) 1/16))) (* -1 (+ 1/8 (* -1/8 (+ 1 (sqrt x))))))))))
(* -1 (sqrt (/ 1 x)))
(* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))
(/ (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x)
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x)
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (+ (* x (+ (* -1 (* (sqrt x) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))) (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))))))) (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x)))))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x)
(/ (+ (sqrt x) (* -1/2 (sqrt (pow x 3)))) x)
(/ (+ (sqrt x) (* (pow x 2) (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt x))))) x)
(/ (+ (sqrt x) (* (pow x 2) (+ (* -1/2 (sqrt (/ 1 x))) (* x (+ (* -1/2 (* (sqrt x) (+ 1 (* 1/4 (/ 1 x))))) (* 1/2 (sqrt (/ 1 x)))))))) x)
(+ 1 (sqrt x))
(+ 1 (+ (sqrt x) (* 1/2 x)))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) 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 (sqrt x))
(* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x))))
(* 1/2 (sqrt (/ 1 x)))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* -1 (/ (+ (* 1/8 x) (* 1/4 x)) (pow x 2)))) x)
(/ (- (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (/ 1/4 x))) x)
(/ (- (+ 1/2 (+ (* -1/4 (/ (+ 1 (* 1/4 x)) (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (+ (/ 1/8 x) (/ 1/4 x))) x)
(/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2))
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2))
(* -2 x)
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2))))))
(* (pow x 2) (- (/ 1/8 (pow x 3)) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2))))))
(* (pow x 2) (- (+ (* -1 (/ (- (* 3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow x 6))) (* 1/8 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2))))))
(/ (- 1 (* 1/2 (/ 1 x))) x)
(/ (- (+ 1 (/ 3/8 (pow x 2))) (* 1/2 (/ 1 x))) x)
(/ (- (+ 1 (/ 3/8 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 5/16 (/ 1 (pow x 3))))) x)
(* 2 (sqrt x))
(* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt x) (pow (sqrt -1) 2))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (* -1/8 (/ x (pow (sqrt -1) 2)))) (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (* -1/8 (/ x (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ (pow x 2) (pow (sqrt -1) 4))) (* 1/4 (/ (* x (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) x)) (* -1/4 (/ x (pow (sqrt -1) 2)))) (pow x 3)))) (+ (/ -1/4 (* x (pow (sqrt -1) 2))) (/ -1/8 (* x (pow (sqrt -1) 2))))) x))
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* 2 (* x (pow (sqrt -1) 2)))
(* (pow x 2) (- (* 2 (/ (pow (sqrt -1) 2) x)) (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ (* -1 (/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow x 4))) (* 2 (/ (pow (sqrt -1) 2) x))) (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ (* -1 (/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow x 4))) (* 2 (/ (pow (sqrt -1) 2) x))) (+ (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt -1) 4)))) (* 3/2 (/ 1 (pow x 2))))))
(/ -1 x)
(* -1 (/ (- 1 (* 1/2 (/ 1 x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 3/8 (/ 1 x))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 3/8 (* 5/16 (/ 1 x))) x))) x))) x))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* 3/16 (sqrt x))) x)) (* 1/4 (sqrt x))) x)) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* 5/32 (sqrt x))) x)) (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* 3/16 (sqrt x)))) x)) (* 1/4 (sqrt x))) x)) (* 1/2 (sqrt x))) (pow x 2))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (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)))) (* 2 (* (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)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
Calls

3 calls:

TimeVariablePointExpression
13.0ms
x
@-inf
((/ (* -1/2 (- (sqrt (/ 1 x)) (sqrt x))) (* x x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (- (sqrt (/ 1 x)) (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 x) (- (sqrt (+ x 1)) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (sqrt x) (- (+ x 1) x) (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (/ -1 (sqrt x)) (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1))))) (pow (+ (* x x) x) -1/2) (/ (* (- (+ x 1) x) (pow (+ (* x x) x) -1/2)) (+ (sqrt x) (sqrt (+ x 1)))) (+ (sqrt x) (sqrt (+ x 1))))
5.0ms
x
@inf
((/ (* -1/2 (- (sqrt (/ 1 x)) (sqrt x))) (* x x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (- (sqrt (/ 1 x)) (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 x) (- (sqrt (+ x 1)) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (sqrt x) (- (+ x 1) x) (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (/ -1 (sqrt x)) (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1))))) (pow (+ (* x x) x) -1/2) (/ (* (- (+ x 1) x) (pow (+ (* x x) x) -1/2)) (+ (sqrt x) (sqrt (+ x 1)))) (+ (sqrt x) (sqrt (+ x 1))))
4.0ms
x
@0
((/ (* -1/2 (- (sqrt (/ 1 x)) (sqrt x))) (* x x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (- (sqrt (/ 1 x)) (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 x) (- (sqrt (+ x 1)) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (sqrt x) (- (+ x 1) x) (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (/ -1 (sqrt x)) (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1))))) (pow (+ (* x x) x) -1/2) (/ (* (- (+ x 1) x) (pow (+ (* x x) x) -1/2)) (+ (sqrt x) (sqrt (+ x 1)))) (+ (sqrt x) (sqrt (+ x 1))))

simplify69.0ms (1.2%)

Memory
27.5MiB live, 99.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05382281
019502147
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
101 → 101
Calls
Call 1
Inputs
(* -1/2 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(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) (* -1 (sqrt (pow x 3)))) x)
(/ 1 x)
(- 1 (sqrt x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/2 (- 1 (sqrt x)))))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (* 3/8 (- 1 (sqrt x))) 3/8)))))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (+ (* 3/8 (- 1 (sqrt x))) (* x (+ 5/16 (* -5/16 (- 1 (sqrt x)))))) 3/8)))))) (sqrt x))
(* (sqrt (/ 1 x)) (- 1 (sqrt x)))
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x)
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x)
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x)
(sqrt x)
1
(* -1 (+ 1 (sqrt x)))
(+ (* -1 (* x (+ 1/2 (* 1/2 (+ 1 (sqrt x)))))) (* -1 (+ 1 (sqrt x))))
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (* x (+ 1/8 (* -1/8 (+ 1 (sqrt x)))))) (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x))))))))
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x))))) (* x (+ (* -1 (* x (- (* 1/16 (+ 1 (sqrt x))) 1/16))) (* -1 (+ 1/8 (* -1/8 (+ 1 (sqrt x))))))))))
(* -1 (sqrt (/ 1 x)))
(* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))
(/ (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x)
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x)
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (+ (* x (+ (* -1 (* (sqrt x) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))) (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))))))) (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x)))))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x)
(/ (+ (sqrt x) (* -1/2 (sqrt (pow x 3)))) x)
(/ (+ (sqrt x) (* (pow x 2) (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt x))))) x)
(/ (+ (sqrt x) (* (pow x 2) (+ (* -1/2 (sqrt (/ 1 x))) (* x (+ (* -1/2 (* (sqrt x) (+ 1 (* 1/4 (/ 1 x))))) (* 1/2 (sqrt (/ 1 x)))))))) x)
(+ 1 (sqrt x))
(+ 1 (+ (sqrt x) (* 1/2 x)))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) 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 (sqrt x))
(* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x))))
(* 1/2 (sqrt (/ 1 x)))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* -1 (/ (+ (* 1/8 x) (* 1/4 x)) (pow x 2)))) x)
(/ (- (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (/ 1/4 x))) x)
(/ (- (+ 1/2 (+ (* -1/4 (/ (+ 1 (* 1/4 x)) (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (+ (/ 1/8 x) (/ 1/4 x))) x)
(/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2))
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2))
(* -2 x)
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2))))))
(* (pow x 2) (- (/ 1/8 (pow x 3)) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2))))))
(* (pow x 2) (- (+ (* -1 (/ (- (* 3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow x 6))) (* 1/8 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2))))))
(/ (- 1 (* 1/2 (/ 1 x))) x)
(/ (- (+ 1 (/ 3/8 (pow x 2))) (* 1/2 (/ 1 x))) x)
(/ (- (+ 1 (/ 3/8 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 5/16 (/ 1 (pow x 3))))) x)
(* 2 (sqrt x))
(* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt x) (pow (sqrt -1) 2))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (* -1/8 (/ x (pow (sqrt -1) 2)))) (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (* -1/8 (/ x (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ (pow x 2) (pow (sqrt -1) 4))) (* 1/4 (/ (* x (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) x)) (* -1/4 (/ x (pow (sqrt -1) 2)))) (pow x 3)))) (+ (/ -1/4 (* x (pow (sqrt -1) 2))) (/ -1/8 (* x (pow (sqrt -1) 2))))) x))
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* 2 (* x (pow (sqrt -1) 2)))
(* (pow x 2) (- (* 2 (/ (pow (sqrt -1) 2) x)) (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ (* -1 (/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow x 4))) (* 2 (/ (pow (sqrt -1) 2) x))) (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ (* -1 (/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow x 4))) (* 2 (/ (pow (sqrt -1) 2) x))) (+ (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt -1) 4)))) (* 3/2 (/ 1 (pow x 2))))))
(/ -1 x)
(* -1 (/ (- 1 (* 1/2 (/ 1 x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 3/8 (/ 1 x))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 3/8 (* 5/16 (/ 1 x))) x))) x))) x))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* 3/16 (sqrt x))) x)) (* 1/4 (sqrt x))) x)) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* 5/32 (sqrt x))) x)) (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* 3/16 (sqrt x)))) x)) (* 1/4 (sqrt x))) x)) (* 1/2 (sqrt x))) (pow x 2))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (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)))) (* 2 (* (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)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
Outputs
(* -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 (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 -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ (+ (sqrt x) (* -1 x)) x)
(/.f64 (fma.f64 #s(literal -1 binary64) x (sqrt.f64 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)
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)
(/.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(- 1 (sqrt x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(-.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(-.f64 (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)) (sqrt.f64 x))
(- (+ 1 (* x (+ 1/2 (* -1/2 (- 1 (sqrt x)))))) (sqrt x))
(-.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x))
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (* 3/8 (- 1 (sqrt x))) 3/8)))))) (sqrt x))
(-.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/8 binary64)) x (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x))
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (+ (* 3/8 (- 1 (sqrt x))) (* x (+ 5/16 (* -5/16 (- 1 (sqrt x)))))) 3/8)))))) (sqrt x))
(-.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -5/16 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 5/16 binary64)) x (*.f64 #s(literal 3/8 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(literal 3/8 binary64)) x (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x))
(* (sqrt (/ 1 x)) (- 1 (sqrt x)))
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x)
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x)
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x)
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x)))) x (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x)
(sqrt x)
(sqrt.f64 x)
1
#s(literal 1 binary64)
(* -1 (+ 1 (sqrt x)))
(neg.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(+ (* -1 (* x (+ 1/2 (* 1/2 (+ 1 (sqrt x)))))) (* -1 (+ 1 (sqrt x))))
(*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (* x (+ 1/8 (* -1/8 (+ 1 (sqrt x)))))) (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x))))))))
(fma.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64)) x (fma.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) x (neg.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x))))) (* x (+ (* -1 (* x (- (* 1/16 (+ 1 (sqrt x))) 1/16))) (* -1 (+ 1/8 (* -1/8 (+ 1 (sqrt x))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1/16 binary64) #s(literal -1/16 binary64)) x (fma.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64)))) x (neg.f64 (fma.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) x (neg.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(* -1 (sqrt (/ 1 x)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x)
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x))) x)
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x)
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(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (* -1/8 (/ x (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (pow x 2)))) x))
(neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) x))
(* -1 (/ (- (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ (pow x 2) (pow (sqrt -1) 4))) (* 1/4 (/ (* x (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) x)) (* -1/4 (/ x (pow (sqrt -1) 2)))) (pow x 3)))) (+ (/ -1/4 (* x (pow (sqrt -1) 2))) (/ -1/8 (* x (pow (sqrt -1) 2))))) x))
(neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal 1 binary64)) x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) x) #s(literal -1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal -3/8 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x))) x))
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2))
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64))) x))) x))) (*.f64 x x))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x)) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64)))) x))) x))) (*.f64 x x))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(* 2 (* x (pow (sqrt -1) 2)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64))
(* (pow x 2) (- (* 2 (/ (pow (sqrt -1) 2) x)) (* 3/2 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (/.f64 #s(literal 3/2 binary64) (*.f64 x x))) (*.f64 x x))
(* (pow x 2) (- (+ (* -1 (/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow x 4))) (* 2 (/ (pow (sqrt -1) 2) x))) (* 3/2 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 3/2 binary64) (*.f64 x x))) (*.f64 x x))
(* (pow x 2) (- (+ (* -1 (/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow x 4))) (* 2 (/ (pow (sqrt -1) 2) x))) (+ (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt -1) 4)))) (* 3/2 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (/.f64 #s(literal 3/2 binary64) (*.f64 x x))) (*.f64 x x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (- 1 (* 1/2 (/ 1 x))) x))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 3/8 (/ 1 x))) x))) x))
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) x) #s(literal -1 binary64) #s(literal 1 binary64)) x))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 3/8 (* 5/16 (/ 1 x))) x))) x))) x))
(neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) x) #s(literal -1 binary64) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal 1 binary64)) x))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* 3/16 (sqrt x))) x)) (* 1/4 (sqrt x))) x)) (* 1/2 (sqrt x))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 #s(literal 3/16 binary64) (sqrt.f64 x))) x))) x))) (*.f64 x x))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* 5/32 (sqrt x))) x)) (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* 3/16 (sqrt x)))) x)) (* 1/4 (sqrt x))) x)) (* 1/2 (sqrt x))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 5/32 binary64) (sqrt.f64 x))) x) #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 #s(literal 3/16 binary64) (sqrt.f64 x)))) x))) x))) (*.f64 x x))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))))
(* -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)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))))))

rewrite216.0ms (3.7%)

Memory
-5.7MiB live, 198.3MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035183
058169
1251138
22119125
08735125
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 1 280
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (*.f64 x x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (*.f64 x x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) x)
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
(sqrt.f64 x)
(-.f64 (+.f64 x #s(literal 1 binary64)) x)
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
Outputs
(*.f64 (pow.f64 (/.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (neg.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 (neg.f64 x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (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 #s(literal 1 binary64) x) (sqrt.f64 x)) (neg.f64 x)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))))
(pow.f64 (/.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) (neg.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (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 #s(literal 1 binary64) x) (sqrt.f64 x))) x)
(/.f64 (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))) (*.f64 x x))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) x)
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) (*.f64 (neg.f64 x) x))
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(fma.f64 (neg.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (sqrt.f64 x))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (fabs.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (sqrt.f64 x))
(fma.f64 (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 x))
(fma.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)) (sqrt.f64 x))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64)) (sqrt.f64 x))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (sinh.f64 (acosh.f64 x)) (sqrt.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (sqrt.f64 x))
(fma.f64 (sinh.f64 (acosh.f64 x)) (pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))
(fma.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (sqrt.f64 x))
(fma.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))) (pow.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64) (sqrt.f64 x))
(fma.f64 (sqrt.f64 x) #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 x (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (hypot.f64 (sqrt.f64 x) x))) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (-.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (hypot.f64 (sqrt.f64 x) x))))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))

eval164.0ms (2.8%)

Memory
11.6MiB live, 269.2MiB allocated
Compiler

Compiled 39 073 to 4 609 computations (88.2% saved)

prune51.0ms (0.9%)

Memory
18.8MiB live, 109.4MiB allocated
Pruning

30 alts after pruning (27 fresh and 3 done)

PrunedKeptTotal
New1 358261 384
Fresh415
Picked325
Done011
Total1 365301 395
Accuracy
100.0%
Counts
1 395 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.1%
(/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 x))
98.9%
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
41.2%
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (fma.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) (sqrt.f64 x)))
41.2%
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
41.1%
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (fma.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
▶40.7%
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (pow (+ (* x x) x) -1/2) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
40.4%
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (pow (+ (* x x) x) -1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶99.3%
(/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
41.1%
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) x)) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))))
39.2%
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)))
98.8%
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (fma.f64 (/.f64 (*.f64 x #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) x)) (sqrt.f64 x))
▶98.9%
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x))
97.4%
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x))
✓39.1%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
85.8%
#s(approx (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
97.5%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) (neg.f64 x)) (neg.f64 x)))
▶85.8%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) (*.f64 x x)))
97.4%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) x))
✓85.8%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (*.f64 x x)))
85.7%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x)))) (*.f64 x x)))
5.8%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
▶5.8%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
86.6%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64))))
97.3%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (neg.f64 x))))
85.8%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
97.4%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 (neg.f64 x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
72.9%
#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)))
37.4%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x))))
✓5.8%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
97.6%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (sqrt (/ 1 x)) (sqrt x))) (* x 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 1/2 binary64))) x)))
Compiler

Compiled 1 416 to 924 computations (34.7% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize262.0ms (4.5%)

Memory
-18.5MiB live, 255.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.221035009768442
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (pow (+ (* x x) x) -1/2) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
accuracy0.2926293342600054
#s(approx (pow (+ (* x x) x) -1/2) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x))
accuracy0.4434402183754578
(/.f64 #s(literal 3/8 binary64) (*.f64 x x))
accuracy58.60804251561837
(-.f64 (+.f64 x #s(literal 1 binary64)) x)
accuracy0.01171875
(-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x))
accuracy0.236660009768442
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x))
accuracy0.4202964274618836
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
accuracy0.4768931411304582
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x))
accuracy0.0
(sqrt.f64 x)
accuracy0.51953125
(/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
accuracy1.3857194203752161
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) (*.f64 x x)))
accuracy7.728653786274058
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) (*.f64 x x))
accuracy0.0
(sqrt.f64 x)
accuracy0.26171875
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
accuracy60.292170126448866
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
accuracy0.015625
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
accuracy0.15625
(/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
accuracy0.26171875
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
accuracy0.50390625
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Samples
161.0ms220×1valid
21.0ms25×2valid
3.0ms11×0valid
Compiler

Compiled 756 to 99 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 122.0ms
ival-div: 39.0ms (31.8% of total)
adjust: 20.0ms (16.3% of total)
ival-mult: 15.0ms (12.2% of total)
ival-pow: 13.0ms (10.6% of total)
ival-add: 12.0ms (9.8% of total)
ival-sub: 12.0ms (9.8% of total)
ival-sqrt: 8.0ms (6.5% of total)
ival-neg: 2.0ms (1.6% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory
9.0MiB live, 9.0MiB allocated
Counts
18 → 95
Calls
Call 1
Inputs
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
(/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 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)
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) (*.f64 x x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x))
(-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x))
(-.f64 (+.f64 x #s(literal 1 binary64)) x)
(/.f64 #s(literal 3/8 binary64) (*.f64 x x))
#s(approx (pow (+ (* x x) x) -1/2) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x))
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (pow (+ (* x x) x) -1/2) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Outputs
(* -1 (+ 1 (sqrt x)))
(+ (* -1 (* x (+ 1/2 (* 1/2 (+ 1 (sqrt x)))))) (* -1 (+ 1 (sqrt x))))
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (* x (+ 1/8 (* -1/8 (+ 1 (sqrt x)))))) (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x))))))))
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x))))) (* x (+ (* -1 (* x (- (* 1/16 (+ 1 (sqrt x))) 1/16))) (* -1 (+ 1/8 (* -1/8 (+ 1 (sqrt x))))))))))
(* -1 (sqrt (/ 1 x)))
(* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))
(/ (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x)
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x)
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (+ (* x (+ (* -1 (* (sqrt x) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))) (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))))))) (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x)))))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x)
(+ 1 (sqrt x))
(+ 1 (+ (sqrt x) (* 1/2 x)))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
(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)
(* -1/2 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)
(- 1 (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/2 (- 1 (sqrt x)))))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (* 3/8 (- 1 (sqrt x))) 3/8)))))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (+ (* 3/8 (- 1 (sqrt x))) (* x (+ 5/16 (* -5/16 (- 1 (sqrt x)))))) 3/8)))))) (sqrt x))
(/ 1/4 (pow x 2))
(* (sqrt (/ 1 x)) (- 1 (sqrt x)))
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x)
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x)
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x)
(/ (+ 1/4 (* -3/8 x)) (pow x 2))
(/ (+ 1/4 (* x (- (* 1/2 x) 3/8))) (pow x 2))
1
(/ 3/8 (pow x 2))
(/ (+ (sqrt x) (* -1/2 (sqrt (pow x 3)))) x)
(/ (+ (sqrt x) (* (pow x 2) (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt x))))) x)
(/ (+ (sqrt x) (* (pow x 2) (+ (* -1/2 (sqrt (/ 1 x))) (* x (+ (* -1/2 (* (sqrt x) (+ 1 (* 1/4 (/ 1 x))))) (* 1/2 (sqrt (/ 1 x)))))))) x)
(* -2 x)
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2))))))
(* (pow x 2) (- (/ 1/8 (pow x 3)) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2))))))
(* (pow x 2) (- (+ (* -1 (/ (- (* 3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow x 6))) (* 1/8 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2))))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2))
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2))
(* 2 (sqrt x))
(* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 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 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(* -1 (sqrt x))
(* x (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x)))))
(/ 1/2 x)
(/ (+ 1/2 (* -1 (/ (+ (* 1/8 x) (* 1/4 x)) (pow x 2)))) x)
(/ (- (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (/ 1/4 x))) x)
(/ (- (+ 1/2 (+ (* -1/4 (/ (+ 1 (* 1/4 x)) (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (+ (/ 1/8 x) (/ 1/4 x))) x)
1/2
(- 1/2 (* 3/8 (/ 1 x)))
(- (+ 1/2 (/ 1/4 (pow x 2))) (* 3/8 (/ 1 x)))
(/ 1 x)
(/ (- 1 (* 1/2 (/ 1 x))) x)
(/ (- (+ 1 (/ 3/8 (pow x 2))) (* 1/2 (/ 1 x))) x)
(/ (- (+ 1 (/ 3/8 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 5/16 (/ 1 (pow x 3))))) x)
(* 2 (* x (pow (sqrt -1) 2)))
(* (pow x 2) (- (* 2 (/ (pow (sqrt -1) 2) x)) (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ (* -1 (/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow x 4))) (* 2 (/ (pow (sqrt -1) 2) x))) (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ (* -1 (/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow x 4))) (* 2 (/ (pow (sqrt -1) 2) x))) (+ (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt -1) 4)))) (* 3/2 (/ 1 (pow x 2))))))
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (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)))) (* 2 (* (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)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))) x))
(* -1 (* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3)))))))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (* -1/8 (/ x (pow (sqrt -1) 2)))) (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (* -1/8 (/ x (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ (pow x 2) (pow (sqrt -1) 4))) (* 1/4 (/ (* x (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) x)) (* -1/4 (/ x (pow (sqrt -1) 2)))) (pow x 3)))) (+ (/ -1/4 (* x (pow (sqrt -1) 2))) (/ -1/8 (* x (pow (sqrt -1) 2))))) x))
(+ 1/2 (* -1 (/ (- 3/8 (* 1/4 (/ 1 x))) x)))
(/ -1 x)
(* -1 (/ (- 1 (* 1/2 (/ 1 x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 3/8 (/ 1 x))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 3/8 (* 5/16 (/ 1 x))) x))) x))) x))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* 3/16 (sqrt x))) x)) (* 1/4 (sqrt x))) x)) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* 5/32 (sqrt x))) x)) (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* 3/16 (sqrt x)))) x)) (* 1/4 (sqrt x))) x)) (* 1/2 (sqrt x))) (pow x 2))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (/ -1 (sqrt x)) (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1))))) (+ (sqrt x) (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (/ (* (/ (- 1 x) (sqrt x)) -1/2) (* x x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- 1 x) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/ 1/4 (* x x)) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (- (+ x 1) x) (/ 3/8 (* x x)) (pow (+ (* x x) x) -1/2) (/ (* (- (+ x 1) x) (pow (+ (* x x) x) -1/2)) (+ (sqrt x) (sqrt (+ x 1)))))
3.0ms
x
@0
((* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (/ -1 (sqrt x)) (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1))))) (+ (sqrt x) (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (/ (* (/ (- 1 x) (sqrt x)) -1/2) (* x x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- 1 x) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/ 1/4 (* x x)) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (- (+ x 1) x) (/ 3/8 (* x x)) (pow (+ (* x x) x) -1/2) (/ (* (- (+ x 1) x) (pow (+ (* x x) x) -1/2)) (+ (sqrt x) (sqrt (+ x 1)))))
2.0ms
x
@inf
((* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (/ -1 (sqrt x)) (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1))))) (+ (sqrt x) (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (/ (* (/ (- 1 x) (sqrt x)) -1/2) (* x x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- 1 x) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/ 1/4 (* x x)) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (- (+ x 1) x) (/ 3/8 (* x x)) (pow (+ (* x x) x) -1/2) (/ (* (- (+ x 1) x) (pow (+ (* x x) x) -1/2)) (+ (sqrt x) (sqrt (+ x 1)))))

simplify91.0ms (1.6%)

Memory
-0.7MiB live, 36.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05142069
018841950
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
95 → 95
Calls
Call 1
Inputs
(* -1 (+ 1 (sqrt x)))
(+ (* -1 (* x (+ 1/2 (* 1/2 (+ 1 (sqrt x)))))) (* -1 (+ 1 (sqrt x))))
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (* x (+ 1/8 (* -1/8 (+ 1 (sqrt x)))))) (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x))))))))
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x))))) (* x (+ (* -1 (* x (- (* 1/16 (+ 1 (sqrt x))) 1/16))) (* -1 (+ 1/8 (* -1/8 (+ 1 (sqrt x))))))))))
(* -1 (sqrt (/ 1 x)))
(* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))
(/ (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x)
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x)
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (+ (* x (+ (* -1 (* (sqrt x) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))) (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))))))) (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x)))))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x)
(+ 1 (sqrt x))
(+ 1 (+ (sqrt x) (* 1/2 x)))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
(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)
(* -1/2 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)
(- 1 (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/2 (- 1 (sqrt x)))))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (* 3/8 (- 1 (sqrt x))) 3/8)))))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (+ (* 3/8 (- 1 (sqrt x))) (* x (+ 5/16 (* -5/16 (- 1 (sqrt x)))))) 3/8)))))) (sqrt x))
(/ 1/4 (pow x 2))
(* (sqrt (/ 1 x)) (- 1 (sqrt x)))
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x)
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x)
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x)
(/ (+ 1/4 (* -3/8 x)) (pow x 2))
(/ (+ 1/4 (* x (- (* 1/2 x) 3/8))) (pow x 2))
1
(/ 3/8 (pow x 2))
(/ (+ (sqrt x) (* -1/2 (sqrt (pow x 3)))) x)
(/ (+ (sqrt x) (* (pow x 2) (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt x))))) x)
(/ (+ (sqrt x) (* (pow x 2) (+ (* -1/2 (sqrt (/ 1 x))) (* x (+ (* -1/2 (* (sqrt x) (+ 1 (* 1/4 (/ 1 x))))) (* 1/2 (sqrt (/ 1 x)))))))) x)
(* -2 x)
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2))))))
(* (pow x 2) (- (/ 1/8 (pow x 3)) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2))))))
(* (pow x 2) (- (+ (* -1 (/ (- (* 3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow x 6))) (* 1/8 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2))))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2))
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2))
(* 2 (sqrt x))
(* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 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 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(* -1 (sqrt x))
(* x (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x)))))
(/ 1/2 x)
(/ (+ 1/2 (* -1 (/ (+ (* 1/8 x) (* 1/4 x)) (pow x 2)))) x)
(/ (- (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (/ 1/4 x))) x)
(/ (- (+ 1/2 (+ (* -1/4 (/ (+ 1 (* 1/4 x)) (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (+ (/ 1/8 x) (/ 1/4 x))) x)
1/2
(- 1/2 (* 3/8 (/ 1 x)))
(- (+ 1/2 (/ 1/4 (pow x 2))) (* 3/8 (/ 1 x)))
(/ 1 x)
(/ (- 1 (* 1/2 (/ 1 x))) x)
(/ (- (+ 1 (/ 3/8 (pow x 2))) (* 1/2 (/ 1 x))) x)
(/ (- (+ 1 (/ 3/8 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 5/16 (/ 1 (pow x 3))))) x)
(* 2 (* x (pow (sqrt -1) 2)))
(* (pow x 2) (- (* 2 (/ (pow (sqrt -1) 2) x)) (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ (* -1 (/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow x 4))) (* 2 (/ (pow (sqrt -1) 2) x))) (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ (* -1 (/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow x 4))) (* 2 (/ (pow (sqrt -1) 2) x))) (+ (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt -1) 4)))) (* 3/2 (/ 1 (pow x 2))))))
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (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)))) (* 2 (* (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)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))) x))
(* -1 (* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3)))))))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (* -1/8 (/ x (pow (sqrt -1) 2)))) (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (* -1/8 (/ x (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ (pow x 2) (pow (sqrt -1) 4))) (* 1/4 (/ (* x (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) x)) (* -1/4 (/ x (pow (sqrt -1) 2)))) (pow x 3)))) (+ (/ -1/4 (* x (pow (sqrt -1) 2))) (/ -1/8 (* x (pow (sqrt -1) 2))))) x))
(+ 1/2 (* -1 (/ (- 3/8 (* 1/4 (/ 1 x))) x)))
(/ -1 x)
(* -1 (/ (- 1 (* 1/2 (/ 1 x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 3/8 (/ 1 x))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 3/8 (* 5/16 (/ 1 x))) x))) x))) x))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* 3/16 (sqrt x))) x)) (* 1/4 (sqrt x))) x)) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* 5/32 (sqrt x))) x)) (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* 3/16 (sqrt x)))) x)) (* 1/4 (sqrt x))) x)) (* 1/2 (sqrt x))) (pow x 2))
Outputs
(* -1 (+ 1 (sqrt x)))
(neg.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(+ (* -1 (* x (+ 1/2 (* 1/2 (+ 1 (sqrt x)))))) (* -1 (+ 1 (sqrt x))))
(*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (* x (+ 1/8 (* -1/8 (+ 1 (sqrt x)))))) (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x))))))))
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(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 5/16 binary64) (pow.f64 x #s(literal 3 binary64)))) x)
(* 2 (* x (pow (sqrt -1) 2)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64))
(* (pow x 2) (- (* 2 (/ (pow (sqrt -1) 2) x)) (* 3/2 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (/.f64 #s(literal 3/2 binary64) (*.f64 x x))) (*.f64 x x))
(* (pow x 2) (- (+ (* -1 (/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow x 4))) (* 2 (/ (pow (sqrt -1) 2) x))) (* 3/2 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 3/2 binary64) (*.f64 x x))) (*.f64 x x))
(* (pow x 2) (- (+ (* -1 (/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow x 4))) (* 2 (/ (pow (sqrt -1) 2) x))) (+ (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt -1) 4)))) (* 3/2 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 3/2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2))
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64))) x))) x))) (*.f64 x x))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x)) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64)))) x))) x))) (*.f64 x x))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))))
(* -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)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))))))
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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)))
(-.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))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (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))))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(-.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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))) #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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)))
(*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))) x))
(neg.f64 (/.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 -1/2 binary64))) x))
(* -1 (* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3)))))))
(*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (* -1/8 (/ x (pow (sqrt -1) 2)))) (pow x 2)))) x))
(neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -3/8 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) x))
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (* -1/8 (/ x (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (pow x 2)))) x))
(neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) x))
(* -1 (/ (- (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ (pow x 2) (pow (sqrt -1) 4))) (* 1/4 (/ (* x (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) x)) (* -1/4 (/ x (pow (sqrt -1) 2)))) (pow x 3)))) (+ (/ -1/4 (* x (pow (sqrt -1) 2))) (/ -1/8 (* x (pow (sqrt -1) 2))))) x))
(neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal 1 binary64)) x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) x) #s(literal -1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal -3/8 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x))) x))
(+ 1/2 (* -1 (/ (- 3/8 (* 1/4 (/ 1 x))) x)))
(fma.f64 (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1/4 binary64) x)) x) #s(literal -1 binary64) #s(literal 1/2 binary64))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (- 1 (* 1/2 (/ 1 x))) x))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 3/8 (/ 1 x))) x))) x))
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) x) #s(literal -1 binary64) #s(literal 1 binary64)) x))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 3/8 (* 5/16 (/ 1 x))) x))) x))) x))
(neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) x) #s(literal -1 binary64) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal 1 binary64)) x))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* 3/16 (sqrt x))) x)) (* 1/4 (sqrt x))) x)) (* 1/2 (sqrt x))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 #s(literal 3/16 binary64) (sqrt.f64 x))) x))) x))) (*.f64 x x))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* 5/32 (sqrt x))) x)) (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* 3/16 (sqrt x)))) x)) (* 1/4 (sqrt x))) x)) (* 1/2 (sqrt x))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 5/32 binary64) (sqrt.f64 x))) x) #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 #s(literal 3/16 binary64) (sqrt.f64 x)))) x))) x))) (*.f64 x x))

rewrite288.0ms (5%)

Memory
-3.4MiB live, 115.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053251
086251
1374226
23364206
09018203
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 658
Calls
Call 1
Inputs
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
(/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 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)
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) (*.f64 x x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x))
(-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x))
(-.f64 (+.f64 x #s(literal 1 binary64)) x)
(/.f64 #s(literal 3/8 binary64) (*.f64 x x))
#s(approx (pow (+ (* x x) x) -1/2) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x))
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (pow (+ (* x x) x) -1/2) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Outputs
(*.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal -1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (neg.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (neg.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x))))
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(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x x)) #s(approx (pow (+ (* x x) x) -1/2) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)) x))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(approx (pow (+ (* x x) x) -1/2) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)) x))) (*.f64 (fma.f64 x (+.f64 (+.f64 #s(literal 1 binary64) x) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(/.f64 (*.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(approx (pow (+ (* x x) x) -1/2) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)) x))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(/.f64 (*.f64 #s(approx (pow (+ (* x x) x) -1/2) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)) x)) (-.f64 (+.f64 #s(literal 1 binary64) x) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(approx (pow (+ (* x x) x) -1/2) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 #s(approx (pow (+ (* x x) x) -1/2) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (*.f64 #s(approx (pow (+ (* x x) x) -1/2) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(approx (pow (+ (* x x) x) -1/2) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(approx (pow (+ (* x x) x) -1/2) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(approx (pow (+ (* x x) x) -1/2) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(neg.f64 (/.f64 (*.f64 #s(approx (pow (+ (* x x) x) -1/2) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)) x)) (-.f64 (+.f64 #s(literal 1 binary64) x) x)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(approx (pow (+ (* x x) x) -1/2) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) #s(literal -1 binary64))) #s(literal -1 binary64)))

eval209.0ms (3.6%)

Memory
23.4MiB live, 135.1MiB allocated
Compiler

Compiled 33 049 to 3 852 computations (88.3% saved)

prune40.0ms (0.7%)

Memory
-18.7MiB live, 71.3MiB allocated
Pruning

27 alts after pruning (24 fresh and 3 done)

PrunedKeptTotal
New95018968
Fresh16622
Picked415
Done123
Total97127998
Accuracy
100.0%
Counts
998 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(/.f64 (/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
▶99.7%
(/.f64 (/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (hypot.f64 (sqrt.f64 x) x) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
▶99.3%
(/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
40.4%
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (pow (+ (* x x) x) -1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
99.6%
(/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 x)))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
97.4%
(/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (*.f64 #s(literal -2 binary64) x)))
98.9%
(/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
39.2%
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)))
98.7%
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (/.f64 x (sqrt.f64 x)))
▶98.9%
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x)) x)) (sqrt.f64 x))
53.7%
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -3/8 binary64)) x #s(literal 1/4 binary64)) (*.f64 x x))) x)) (sqrt.f64 x))
98.8%
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 x))
97.4%
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) x)) (sqrt.f64 x))
✓39.1%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
98.8%
(*.f64 (neg.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x)) x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
97.4%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) x))
97.8%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3/2 binary64))) #s(literal -1/2 binary64)) x))
78.5%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x x))))
85.7%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(approx (/ (- 1 x) (sqrt x)) (neg.f64 (sqrt.f64 x))) #s(literal -1/2 binary64)) (*.f64 x x)))
78.6%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 5/2 binary64))))
▶5.8%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
✓5.8%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
85.8%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x))))
97.3%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) x)))
▶85.8%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
37.4%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x))))
✓5.8%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 1 295 to 870 computations (32.8% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize180.0ms (3.1%)

Memory
20.5MiB live, 257.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.015625
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
accuracy0.15625
(/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
accuracy0.26171875
(/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
accuracy0.50390625
(*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
accuracy0.00390625
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x)) x)
accuracy0.02734375
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x)
accuracy0.236660009768442
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x)) x)) (sqrt.f64 x))
accuracy0.4768931411304582
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x)) x))
accuracy0.43819360588364664
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
accuracy0.51953125
(/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
accuracy1.3857194203752161
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
accuracy7.200084258059752
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
accuracy0.0
(sqrt.f64 x)
accuracy0.30859375
(/.f64 (sqrt.f64 x) x)
accuracy60.292170126448866
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
accuracy0.0
#s(approx (- (+ x 1) x) #s(literal 1 binary64))
accuracy0.01171875
(/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (hypot.f64 (sqrt.f64 x) x) x))
accuracy0.01171875
(+.f64 (hypot.f64 (sqrt.f64 x) x) x)
accuracy0.213222509768442
(/.f64 (/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (hypot.f64 (sqrt.f64 x) x) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
Samples
125.0ms220×1valid
18.0ms25×2valid
3.0ms11×0valid
Compiler

Compiled 642 to 90 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 108.0ms
ival-div: 38.0ms (35.1% of total)
adjust: 18.0ms (16.6% of total)
ival-mult: 11.0ms (10.2% of total)
ival-add: 10.0ms (9.2% of total)
ival-hypot: 10.0ms (9.2% of total)
ival-sqrt: 9.0ms (8.3% of total)
ival-sub: 9.0ms (8.3% of total)
ival-neg: 3.0ms (2.8% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series18.0ms (0.3%)

Memory
-18.3MiB live, 21.9MiB allocated
Counts
19 → 119
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (hypot.f64 (sqrt.f64 x) x) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(+.f64 (hypot.f64 (sqrt.f64 x) x) x)
(/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (hypot.f64 (sqrt.f64 x) x) x))
#s(approx (- (+ x 1) x) #s(literal 1 binary64))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
(/.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x)) x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x)) x)) (sqrt.f64 x))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x)) x)
(*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
Outputs
(sqrt (/ 1 x))
(+ (sqrt (/ 1 x)) (* x (- (* -1/2 (sqrt (/ 1 x))) (/ 1 x))))
(+ (sqrt (/ 1 x)) (* x (- (+ (* -1/2 (sqrt (/ 1 x))) (* x (+ (* -1 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* 3/8 (sqrt (/ 1 x))) (* 1/2 (/ 1 x)))))) (/ 1 x))))
(+ (sqrt (/ 1 x)) (* x (- (+ (* -1/2 (sqrt (/ 1 x))) (* x (+ (* -1 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* 3/8 (sqrt (/ 1 x))) (+ (* 1/2 (/ 1 x)) (* x (- (+ (* -5/16 (sqrt (/ 1 x))) (+ (* 1/2 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (* 1/2 (/ 1 (pow x 2))))) (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (* 3/8 (/ 1 x)))))))))) (/ 1 x))))
(sqrt x)
(+ x (sqrt x))
(+ (sqrt x) (* x (+ 1 (* 1/2 (sqrt x)))))
(+ (sqrt x) (* x (+ 1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))))
(* -1 (sqrt (/ 1 x)))
(+ 1 (* -1 (sqrt (/ 1 x))))
(+ (* -1 (sqrt (/ 1 x))) (* x (+ (* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (* -1/2 (sqrt (/ 1 (pow x 3))))))) (/ 1 x))))
(+ (* -1 (sqrt (/ 1 x))) (* x (+ (* x (- (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (* -1/2 (sqrt (/ 1 (pow x 3))))))) (* 1/2 (/ 1 (pow x 2)))))) (+ (sqrt (/ 1 (pow x 3))) (* -1/2 (sqrt (/ 1 (pow x 3))))))) (/ 1 x))))
1
(/ (+ (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 5))))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)
(/ -1/2 (pow x 2))
(- 1 (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/2 (- 1 (sqrt x)))))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (* 3/8 (- 1 (sqrt x))) 3/8)))))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (+ (* 3/8 (- 1 (sqrt x))) (* x (+ 5/16 (* -5/16 (- 1 (sqrt x)))))) 3/8)))))) (sqrt x))
(* (sqrt (/ 1 x)) (- 1 (sqrt x)))
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x)
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x)
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x)
(/ 1/4 (pow x 2))
(/ (+ 1/4 (* -3/8 x)) (pow x 2))
(/ 1/4 (pow x 3))
(/ (+ 1/4 (* -3/8 x)) (pow x 3))
(/ (+ 1/4 (* x (- (* 1/2 x) 3/8))) (pow x 3))
(* -1 (+ 1 (sqrt x)))
(+ (* -1 (* x (+ 1/2 (* 1/2 (+ 1 (sqrt x)))))) (* -1 (+ 1 (sqrt x))))
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (* x (+ 1/8 (* -1/8 (+ 1 (sqrt x)))))) (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x))))))))
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x))))) (* x (+ (* -1 (* x (- (* 1/16 (+ 1 (sqrt x))) 1/16))) (* -1 (+ 1/8 (* -1/8 (+ 1 (sqrt x))))))))))
(* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))
(/ (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x)
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x)
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (+ (* x (+ (* -1 (* (sqrt x) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))) (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))))))) (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x)))))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x)
(+ 1 (sqrt x))
(+ 1 (+ (sqrt x) (* 1/2 x)))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) x)
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) x)
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 x))))
(* x (- (+ 2 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))
(/ -1/2 x)
(/ (- (* 1/8 (/ 1 x)) 1/2) x)
(/ (- (* 1/8 (/ 1 x)) (+ 1/2 (/ 1/16 (pow x 2)))) x)
(/ (- (+ (* 1/8 (/ 1 x)) (* 5/128 (/ 1 (pow x 3)))) (+ 1/2 (/ 1/16 (pow x 2)))) 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 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(* -1 (sqrt x))
(* x (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x)))))
(/ 1/2 x)
(/ (+ 1/2 (* -1 (/ (+ (* 1/8 x) (* 1/4 x)) (pow x 2)))) x)
(/ (- (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (/ 1/4 x))) x)
(/ (- (+ 1/2 (+ (* -1/4 (/ (+ 1 (* 1/4 x)) (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (+ (/ 1/8 x) (/ 1/4 x))) x)
(/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2))
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2))
(/ -3/8 x)
(/ (- (* 1/4 (/ 1 x)) 3/8) x)
(/ (- 1/2 (* 3/8 (/ 1 x))) x)
(/ (- (+ 1/2 (/ 1/4 (pow x 2))) (* 3/8 (/ 1 x))) x)
(* -2 x)
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2))))))
(* (pow x 2) (- (/ 1/8 (pow x 3)) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2))))))
(* (pow x 2) (- (+ (* -1 (/ (- (* 3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow x 6))) (* 1/8 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2))))))
(* 2 (sqrt x))
(* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))
(* 2 (sqrt (/ 1 x)))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 2 (sqrt (/ 1 x))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* -1/8 (pow (sqrt -1) 2)) (* 1/4 (pow (sqrt -1) 2))))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 2 (sqrt (/ 1 x))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* -1/8 (pow (sqrt -1) 2)) (* 1/4 (pow (sqrt -1) 2)))))) (* -1 (/ (+ (* -1 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* -2 (/ (+ (* 1/64 (pow (sqrt -1) 8)) (* 1/16 (pow (sqrt -1) 8))) (pow (sqrt -1) 4))) (+ (* 1/16 (pow (sqrt -1) 4)) (* 1/4 (* (pow (sqrt -1) 2) (+ (* -1/8 (pow (sqrt -1) 2)) (* 1/4 (pow (sqrt -1) 2)))))))))) (* -1/4 (sqrt x)))) x)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 2 (sqrt (/ 1 x))))
(* 1/2 (pow (sqrt -1) 2))
(+ (* 1/8 (/ (pow (sqrt -1) 4) x)) (* 1/2 (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1/8 (pow (sqrt -1) 4)) (* -1/16 (/ (pow (sqrt -1) 6) x))) x)) (* 1/2 (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/16 (pow (sqrt -1) 6)) (* 1/2 (/ (+ (* 1/64 (pow (sqrt -1) 8)) (* 1/16 (pow (sqrt -1) 8))) x))) x)) (* -1/8 (pow (sqrt -1) 4))) x)) (* 1/2 (pow (sqrt -1) 2)))
(/ -2 (pow (sqrt -1) 2))
(- (* 1/2 (/ 1 x)) (* 2 (/ 1 (pow (sqrt -1) 2))))
(- (* -1 (/ (- (+ (* -1/4 (/ (pow (sqrt -1) 2) x)) (* 1/8 (/ (pow (sqrt -1) 2) x))) 1/2) x)) (* 2 (/ 1 (pow (sqrt -1) 2))))
(- (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (pow (sqrt -1) 4) x)) (+ (* 1/4 (/ (* (pow (sqrt -1) 2) (+ (* -1/4 (pow (sqrt -1) 2)) (* 1/8 (pow (sqrt -1) 2)))) x)) (* 2 (/ (+ (* 1/64 (pow (sqrt -1) 8)) (* 1/16 (pow (sqrt -1) 8))) (* x (pow (sqrt -1) 4)))))) (+ (* -1/4 (pow (sqrt -1) 2)) (* 1/8 (pow (sqrt -1) 2)))) x)) 1/2) x)) (* 2 (/ 1 (pow (sqrt -1) 2))))
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))) x))
(* -1 (* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3)))))))
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (* -1/8 (/ x (pow (sqrt -1) 2)))) (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (* -1/8 (/ x (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ (pow x 2) (pow (sqrt -1) 4))) (* 1/4 (/ (* x (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) x)) (* -1/4 (/ x (pow (sqrt -1) 2)))) (pow x 3)))) (+ (/ -1/4 (* x (pow (sqrt -1) 2))) (/ -1/8 (* x (pow (sqrt -1) 2))))) x))
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2))
(* -1 (/ (- 3/8 (* 1/4 (/ 1 x))) x))
(* -1 (/ (- (* 3/8 (/ 1 x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 3/8) x)) 1/2) x))
(* 2 (* x (pow (sqrt -1) 2)))
(* (pow x 2) (- (* 2 (/ (pow (sqrt -1) 2) x)) (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ (* -1 (/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow x 4))) (* 2 (/ (pow (sqrt -1) 2) x))) (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ (* -1 (/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow x 4))) (* 2 (/ (pow (sqrt -1) 2) x))) (+ (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt -1) 4)))) (* 3/2 (/ 1 (pow x 2))))))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (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)))) (* 2 (* (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)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
Calls

3 calls:

TimeVariablePointExpression
7.0ms
x
@0
((/ (/ (* (- (+ x 1) x) -1) (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x)) (neg (sqrt (+ 1 x)))) (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x) (/ (* (- (+ x 1) x) -1) (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x)) (- (+ x 1) x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (sqrt x) x) (sqrt x) (* (/ (- 1 x) (sqrt x)) (/ -1/2 (* x x))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- 1 x) (sqrt x)) (/ -1/2 (* x x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/ (- (/ 1/4 x) 3/8) x) (/ (+ 1/2 (/ (- (/ 1/4 x) 3/8) x)) x) (* (neg (sqrt (+ 1 x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/ (- (+ x 1) x) (neg (sqrt x))) (/ (/ (- (+ x 1) x) (neg (sqrt x))) (* (neg (sqrt (+ 1 x))) (+ (sqrt (+ 1 x)) (sqrt x)))) (+ (sqrt (+ 1 x)) (sqrt x)))
6.0ms
x
@-inf
((/ (/ (* (- (+ x 1) x) -1) (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x)) (neg (sqrt (+ 1 x)))) (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x) (/ (* (- (+ x 1) x) -1) (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x)) (- (+ x 1) x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (sqrt x) x) (sqrt x) (* (/ (- 1 x) (sqrt x)) (/ -1/2 (* x x))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- 1 x) (sqrt x)) (/ -1/2 (* x x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/ (- (/ 1/4 x) 3/8) x) (/ (+ 1/2 (/ (- (/ 1/4 x) 3/8) x)) x) (* (neg (sqrt (+ 1 x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/ (- (+ x 1) x) (neg (sqrt x))) (/ (/ (- (+ x 1) x) (neg (sqrt x))) (* (neg (sqrt (+ 1 x))) (+ (sqrt (+ 1 x)) (sqrt x)))) (+ (sqrt (+ 1 x)) (sqrt x)))
3.0ms
x
@inf
((/ (/ (* (- (+ x 1) x) -1) (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x)) (neg (sqrt (+ 1 x)))) (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x) (/ (* (- (+ x 1) x) -1) (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x)) (- (+ x 1) x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (sqrt x) x) (sqrt x) (* (/ (- 1 x) (sqrt x)) (/ -1/2 (* x x))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- 1 x) (sqrt x)) (/ -1/2 (* x x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/ (- (/ 1/4 x) 3/8) x) (/ (+ 1/2 (/ (- (/ 1/4 x) 3/8) x)) x) (* (neg (sqrt (+ 1 x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/ (- (+ x 1) x) (neg (sqrt x))) (/ (/ (- (+ x 1) x) (neg (sqrt x))) (* (neg (sqrt (+ 1 x))) (+ (sqrt (+ 1 x)) (sqrt x)))) (+ (sqrt (+ 1 x)) (sqrt x)))

simplify74.0ms (1.3%)

Memory
0.0MiB live, 76.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06582696
024262537
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
119 → 119
Calls
Call 1
Inputs
(sqrt (/ 1 x))
(+ (sqrt (/ 1 x)) (* x (- (* -1/2 (sqrt (/ 1 x))) (/ 1 x))))
(+ (sqrt (/ 1 x)) (* x (- (+ (* -1/2 (sqrt (/ 1 x))) (* x (+ (* -1 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* 3/8 (sqrt (/ 1 x))) (* 1/2 (/ 1 x)))))) (/ 1 x))))
(+ (sqrt (/ 1 x)) (* x (- (+ (* -1/2 (sqrt (/ 1 x))) (* x (+ (* -1 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* 3/8 (sqrt (/ 1 x))) (+ (* 1/2 (/ 1 x)) (* x (- (+ (* -5/16 (sqrt (/ 1 x))) (+ (* 1/2 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (* 1/2 (/ 1 (pow x 2))))) (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (* 3/8 (/ 1 x)))))))))) (/ 1 x))))
(sqrt x)
(+ x (sqrt x))
(+ (sqrt x) (* x (+ 1 (* 1/2 (sqrt x)))))
(+ (sqrt x) (* x (+ 1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))))
(* -1 (sqrt (/ 1 x)))
(+ 1 (* -1 (sqrt (/ 1 x))))
(+ (* -1 (sqrt (/ 1 x))) (* x (+ (* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (* -1/2 (sqrt (/ 1 (pow x 3))))))) (/ 1 x))))
(+ (* -1 (sqrt (/ 1 x))) (* x (+ (* x (- (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (* -1/2 (sqrt (/ 1 (pow x 3))))))) (* 1/2 (/ 1 (pow x 2)))))) (+ (sqrt (/ 1 (pow x 3))) (* -1/2 (sqrt (/ 1 (pow x 3))))))) (/ 1 x))))
1
(/ (+ (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 5))))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)
(/ -1/2 (pow x 2))
(- 1 (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/2 (- 1 (sqrt x)))))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (* 3/8 (- 1 (sqrt x))) 3/8)))))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (+ (* 3/8 (- 1 (sqrt x))) (* x (+ 5/16 (* -5/16 (- 1 (sqrt x)))))) 3/8)))))) (sqrt x))
(* (sqrt (/ 1 x)) (- 1 (sqrt x)))
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x)
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x)
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x)
(/ 1/4 (pow x 2))
(/ (+ 1/4 (* -3/8 x)) (pow x 2))
(/ 1/4 (pow x 3))
(/ (+ 1/4 (* -3/8 x)) (pow x 3))
(/ (+ 1/4 (* x (- (* 1/2 x) 3/8))) (pow x 3))
(* -1 (+ 1 (sqrt x)))
(+ (* -1 (* x (+ 1/2 (* 1/2 (+ 1 (sqrt x)))))) (* -1 (+ 1 (sqrt x))))
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (* x (+ 1/8 (* -1/8 (+ 1 (sqrt x)))))) (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x))))))))
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x))))) (* x (+ (* -1 (* x (- (* 1/16 (+ 1 (sqrt x))) 1/16))) (* -1 (+ 1/8 (* -1/8 (+ 1 (sqrt x))))))))))
(* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))
(/ (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x)
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x)
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (+ (* x (+ (* -1 (* (sqrt x) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))) (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))))))) (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x)))))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x)
(+ 1 (sqrt x))
(+ 1 (+ (sqrt x) (* 1/2 x)))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) x)
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) x)
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 x))))
(* x (- (+ 2 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))
(/ -1/2 x)
(/ (- (* 1/8 (/ 1 x)) 1/2) x)
(/ (- (* 1/8 (/ 1 x)) (+ 1/2 (/ 1/16 (pow x 2)))) x)
(/ (- (+ (* 1/8 (/ 1 x)) (* 5/128 (/ 1 (pow x 3)))) (+ 1/2 (/ 1/16 (pow x 2)))) 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 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(* -1 (sqrt x))
(* x (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x)))))
(/ 1/2 x)
(/ (+ 1/2 (* -1 (/ (+ (* 1/8 x) (* 1/4 x)) (pow x 2)))) x)
(/ (- (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (/ 1/4 x))) x)
(/ (- (+ 1/2 (+ (* -1/4 (/ (+ 1 (* 1/4 x)) (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (+ (/ 1/8 x) (/ 1/4 x))) x)
(/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2))
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2))
(/ -3/8 x)
(/ (- (* 1/4 (/ 1 x)) 3/8) x)
(/ (- 1/2 (* 3/8 (/ 1 x))) x)
(/ (- (+ 1/2 (/ 1/4 (pow x 2))) (* 3/8 (/ 1 x))) x)
(* -2 x)
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2))))))
(* (pow x 2) (- (/ 1/8 (pow x 3)) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2))))))
(* (pow x 2) (- (+ (* -1 (/ (- (* 3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow x 6))) (* 1/8 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2))))))
(* 2 (sqrt x))
(* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))
(* 2 (sqrt (/ 1 x)))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 2 (sqrt (/ 1 x))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* -1/8 (pow (sqrt -1) 2)) (* 1/4 (pow (sqrt -1) 2))))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 2 (sqrt (/ 1 x))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* -1/8 (pow (sqrt -1) 2)) (* 1/4 (pow (sqrt -1) 2)))))) (* -1 (/ (+ (* -1 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* -2 (/ (+ (* 1/64 (pow (sqrt -1) 8)) (* 1/16 (pow (sqrt -1) 8))) (pow (sqrt -1) 4))) (+ (* 1/16 (pow (sqrt -1) 4)) (* 1/4 (* (pow (sqrt -1) 2) (+ (* -1/8 (pow (sqrt -1) 2)) (* 1/4 (pow (sqrt -1) 2)))))))))) (* -1/4 (sqrt x)))) x)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 2 (sqrt (/ 1 x))))
(* 1/2 (pow (sqrt -1) 2))
(+ (* 1/8 (/ (pow (sqrt -1) 4) x)) (* 1/2 (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1/8 (pow (sqrt -1) 4)) (* -1/16 (/ (pow (sqrt -1) 6) x))) x)) (* 1/2 (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/16 (pow (sqrt -1) 6)) (* 1/2 (/ (+ (* 1/64 (pow (sqrt -1) 8)) (* 1/16 (pow (sqrt -1) 8))) x))) x)) (* -1/8 (pow (sqrt -1) 4))) x)) (* 1/2 (pow (sqrt -1) 2)))
(/ -2 (pow (sqrt -1) 2))
(- (* 1/2 (/ 1 x)) (* 2 (/ 1 (pow (sqrt -1) 2))))
(- (* -1 (/ (- (+ (* -1/4 (/ (pow (sqrt -1) 2) x)) (* 1/8 (/ (pow (sqrt -1) 2) x))) 1/2) x)) (* 2 (/ 1 (pow (sqrt -1) 2))))
(- (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (pow (sqrt -1) 4) x)) (+ (* 1/4 (/ (* (pow (sqrt -1) 2) (+ (* -1/4 (pow (sqrt -1) 2)) (* 1/8 (pow (sqrt -1) 2)))) x)) (* 2 (/ (+ (* 1/64 (pow (sqrt -1) 8)) (* 1/16 (pow (sqrt -1) 8))) (* x (pow (sqrt -1) 4)))))) (+ (* -1/4 (pow (sqrt -1) 2)) (* 1/8 (pow (sqrt -1) 2)))) x)) 1/2) x)) (* 2 (/ 1 (pow (sqrt -1) 2))))
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))) x))
(* -1 (* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3)))))))
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (* -1/8 (/ x (pow (sqrt -1) 2)))) (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (* -1/8 (/ x (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ (pow x 2) (pow (sqrt -1) 4))) (* 1/4 (/ (* x (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) x)) (* -1/4 (/ x (pow (sqrt -1) 2)))) (pow x 3)))) (+ (/ -1/4 (* x (pow (sqrt -1) 2))) (/ -1/8 (* x (pow (sqrt -1) 2))))) x))
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2))
(* -1 (/ (- 3/8 (* 1/4 (/ 1 x))) x))
(* -1 (/ (- (* 3/8 (/ 1 x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 3/8) x)) 1/2) x))
(* 2 (* x (pow (sqrt -1) 2)))
(* (pow x 2) (- (* 2 (/ (pow (sqrt -1) 2) x)) (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ (* -1 (/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow x 4))) (* 2 (/ (pow (sqrt -1) 2) x))) (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ (* -1 (/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow x 4))) (* 2 (/ (pow (sqrt -1) 2) x))) (+ (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt -1) 4)))) (* 3/2 (/ 1 (pow x 2))))))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (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)))) (* 2 (* (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)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
Outputs
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(+ (sqrt (/ 1 x)) (* x (- (* -1/2 (sqrt (/ 1 x))) (/ 1 x))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) x))) x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (sqrt (/ 1 x)) (* x (- (+ (* -1/2 (sqrt (/ 1 x))) (* x (+ (* -1 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* 3/8 (sqrt (/ 1 x))) (* 1/2 (/ 1 x)))))) (/ 1 x))))
(fma.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64)) #s(literal -1 binary64) (fma.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) x))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) x)) x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (sqrt (/ 1 x)) (* x (- (+ (* -1/2 (sqrt (/ 1 x))) (* x (+ (* -1 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* 3/8 (sqrt (/ 1 x))) (+ (* 1/2 (/ 1 x)) (* x (- (+ (* -5/16 (sqrt (/ 1 x))) (+ (* 1/2 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (* 1/2 (/ 1 (pow x 2))))) (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (* 3/8 (/ 1 x)))))))))) (/ 1 x))))
(fma.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64)) #s(literal -1 binary64) (fma.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (-.f64 (fma.f64 #s(literal -5/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #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 #s(literal 1 binary64) (*.f64 x x))))) (fma.f64 (neg.f64 (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)) (/.f64 #s(literal 3/8 binary64) x))) x (/.f64 #s(literal 1/2 binary64) x)))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) x)) x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt x)
(sqrt.f64 x)
(+ x (sqrt x))
(+.f64 (sqrt.f64 x) x)
(+ (sqrt x) (* x (+ 1 (* 1/2 (sqrt x)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x (sqrt.f64 x))
(+ (sqrt x) (* x (+ 1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x #s(literal 1 binary64)) x (sqrt.f64 x))
(* -1 (sqrt (/ 1 x)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ 1 (* -1 (sqrt (/ 1 x))))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(+ (* -1 (sqrt (/ 1 x))) (* x (+ (* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (* -1/2 (sqrt (/ 1 (pow x 3))))))) (/ 1 x))))
(fma.f64 (fma.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) x)) x (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+ (* -1 (sqrt (/ 1 x))) (* x (+ (* x (- (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (* -1/2 (sqrt (/ 1 (pow x 3))))))) (* 1/2 (/ 1 (pow x 2)))))) (+ (sqrt (/ 1 (pow x 3))) (* -1/2 (sqrt (/ 1 (pow x 3))))))) (/ 1 x))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) x (/.f64 #s(literal 1 binary64) x)) x (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
1
#s(literal 1 binary64)
(/ (+ (sqrt x) (* -1 x)) x)
(/.f64 (fma.f64 #s(literal -1 binary64) x (sqrt.f64 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 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 (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 -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (sqrt.f64 x)) x)
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(- 1 (sqrt x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
(- (+ 1 (* x (+ 1/2 (* -1/2 (- 1 (sqrt x)))))) (sqrt x))
(-.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x))
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (* 3/8 (- 1 (sqrt x))) 3/8)))))) (sqrt x))
(-.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64) #s(literal -3/8 binary64)) x (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x))
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (+ (* 3/8 (- 1 (sqrt x))) (* x (+ 5/16 (* -5/16 (- 1 (sqrt x)))))) 3/8)))))) (sqrt x))
(-.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -5/16 binary64) #s(literal 5/16 binary64)) x (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64))) #s(literal 3/8 binary64)) x (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x))
(* (sqrt (/ 1 x)) (- 1 (sqrt x)))
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x)
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x)
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x)
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x)))) x (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x)
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ (+ 1/4 (* -3/8 x)) (pow x 2))
(/.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/4 binary64)) (*.f64 x x))
(/ 1/4 (pow x 3))
(/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 1/4 (* -3/8 x)) (pow x 3))
(/.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 1/4 (* x (- (* 1/2 x) 3/8))) (pow x 3))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -3/8 binary64)) x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (+ 1 (sqrt x)))
(neg.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(+ (* -1 (* x (+ 1/2 (* 1/2 (+ 1 (sqrt x)))))) (* -1 (+ 1 (sqrt x))))
(*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (* x (+ 1/8 (* -1/8 (+ 1 (sqrt x)))))) (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x))))))))
(fma.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64)) x (fma.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) x (neg.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x))))) (* x (+ (* -1 (* x (- (* 1/16 (+ 1 (sqrt x))) 1/16))) (* -1 (+ 1/8 (* -1/8 (+ 1 (sqrt x))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1/16 binary64) #s(literal -1/16 binary64)) x (fma.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64)))) x (neg.f64 (fma.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) x (neg.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x)
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x))) x)
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x)
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(fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal -1/8 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)) #s(literal 5/64 binary64)) x) #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) #s(literal 1/16 binary64))) x))) x)))
(/ -2 (pow (sqrt -1) 2))
(/.f64 #s(literal -2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(- (* 1/2 (/ 1 x)) (* 2 (/ 1 (pow (sqrt -1) 2))))
(-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(- (* -1 (/ (- (+ (* -1/4 (/ (pow (sqrt -1) 2) x)) (* 1/8 (/ (pow (sqrt -1) 2) x))) 1/2) x)) (* 2 (/ 1 (pow (sqrt -1) 2))))
(-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) #s(literal -1/8 binary64) #s(literal -1/2 binary64)) x)) (/.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(- (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (pow (sqrt -1) 4) x)) (+ (* 1/4 (/ (* (pow (sqrt -1) 2) (+ (* -1/4 (pow (sqrt -1) 2)) (* 1/8 (pow (sqrt -1) 2)))) x)) (* 2 (/ (+ (* 1/64 (pow (sqrt -1) 8)) (* 1/16 (pow (sqrt -1) 8))) (* x (pow (sqrt -1) 4)))))) (+ (* -1/4 (pow (sqrt -1) 2)) (* 1/8 (pow (sqrt -1) 2)))) x)) 1/2) x)) (* 2 (/ 1 (pow (sqrt -1) 2))))
(-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) x) (-.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)) #s(literal 5/64 binary64)) x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/8 binary64)) x)) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/8 binary64)))) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x)) (/.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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)))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (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))))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(-.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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))) #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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 (/ 1 x)) (pow (sqrt -1) 2)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))) x))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))
(* -1 (* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3)))))))
(*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (* -1/8 (/ x (pow (sqrt -1) 2)))) (pow x 2)))) x))
(neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -3/8 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) x))
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (* -1/8 (/ x (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (pow x 2)))) x))
(neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) x))
(* -1 (/ (- (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ (pow x 2) (pow (sqrt -1) 4))) (* 1/4 (/ (* x (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) x)) (* -1/4 (/ x (pow (sqrt -1) 2)))) (pow x 3)))) (+ (/ -1/4 (* x (pow (sqrt -1) 2))) (/ -1/8 (* x (pow (sqrt -1) 2))))) x))
(neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal 1 binary64)) x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) x) #s(literal -1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal -3/8 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x))) x))
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2))
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))) x))) (*.f64 x x))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x)) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x) #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) x))) x))) (*.f64 x x))
(* -1 (/ (- 3/8 (* 1/4 (/ 1 x))) x))
(neg.f64 (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1/4 binary64) x)) x))
(* -1 (/ (- (* 3/8 (/ 1 x)) 1/2) x))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 3/8) x)) 1/2) x))
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x))
(* 2 (* x (pow (sqrt -1) 2)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64))
(* (pow x 2) (- (* 2 (/ (pow (sqrt -1) 2) x)) (* 3/2 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (/.f64 #s(literal 3/2 binary64) (*.f64 x x))) (*.f64 x x))
(* (pow x 2) (- (+ (* -1 (/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow x 4))) (* 2 (/ (pow (sqrt -1) 2) x))) (* 3/2 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 3/2 binary64) (*.f64 x x))) (*.f64 x x))
(* (pow x 2) (- (+ (* -1 (/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow x 4))) (* 2 (/ (pow (sqrt -1) 2) x))) (+ (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt -1) 4)))) (* 3/2 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (/.f64 #s(literal 3/2 binary64) (*.f64 x x))) (*.f64 x x))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))))
(* -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)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))))

rewrite194.0ms (3.4%)

Memory
22.9MiB live, 212.6MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046245
075242
1378207
23299202
011973202
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 783
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (hypot.f64 (sqrt.f64 x) x) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(+.f64 (hypot.f64 (sqrt.f64 x) x) x)
(/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (hypot.f64 (sqrt.f64 x) x) x))
#s(approx (- (+ x 1) x) #s(literal 1 binary64))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
(/.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x)) x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x)) x)) (sqrt.f64 x))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x)) x)
(*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
Outputs
(*.f64 (pow.f64 (/.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) (-.f64 #s(literal 1 binary64) x)) #s(approx (- (+ x 1) x) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (+.f64 #s(literal -1 binary64) x) (hypot.f64 (sqrt.f64 x) x)) #s(approx (- (+ x 1) x) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
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(fma.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 x))
(fma.f64 (sin.f64 (acos.f64 x)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))
(fma.f64 (sin.f64 (acos.f64 x)) (cos.f64 (atan.f64 (sqrt.f64 x))) (sqrt.f64 x))
(fma.f64 (sinh.f64 (acosh.f64 x)) (sqrt.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (sqrt.f64 x))
(fma.f64 (sinh.f64 (acosh.f64 x)) (pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))
(fma.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64))) (sqrt.f64 x))
(fma.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (sqrt.f64 x))
(fma.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))) (pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))
(fma.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))) (pow.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (sqrt.f64 x))
(fma.f64 (sqrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (sqrt.f64 x) #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (sqrt.f64 x) #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (sqrt.f64 x))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x))))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (/.f64 x (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x))))
(+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))

eval147.0ms (2.5%)

Memory
1.4MiB live, 162.4MiB allocated
Compiler

Compiled 31 576 to 3 954 computations (87.5% saved)

prune43.0ms (0.7%)

Memory
-5.3MiB live, 76.0MiB allocated
Pruning

28 alts after pruning (22 fresh and 6 done)

PrunedKeptTotal
New1 008141 022
Fresh11819
Picked235
Done033
Total1 021281 049
Accuracy
100.0%
Counts
1 049 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(/.f64 (/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
✓99.7%
(/.f64 (/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (hypot.f64 (sqrt.f64 x) x) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
99.0%
(/.f64 (/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
99.6%
(/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (neg.f64 (/.f64 x (sqrt.f64 x)))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
✓99.3%
(/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
97.4%
(/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) #s(approx (* (neg (sqrt (+ 1 x))) (+ (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal -2 binary64) x)))
98.9%
(/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
39.2%
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)))
98.7%
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x)) x)) (/.f64 x (sqrt.f64 x)))
98.9%
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (/ (- (/ 1/4 x) 3/8) x) (/.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/4 binary64)) (*.f64 x x)))) x)) (sqrt.f64 x))
98.8%
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (/ (- (/ 1/4 x) 3/8) x) (/.f64 #s(literal -3/8 binary64) x))) x)) (sqrt.f64 x))
97.4%
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) x)) (sqrt.f64 x))
98.9%
(/.f64 #s(approx (/ (* (- (+ x 1) x) -1) (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x)) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
99.3%
(/.f64 #s(approx (/ (* (- (+ x 1) x) -1) (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
97.5%
(/.f64 #s(approx (/ (* (- (+ x 1) x) -1) (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x)) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
✓39.1%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
97.2%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 x))) x) x))
78.1%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (sqrt.f64 x))))
97.5%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (*.f64 x (/.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)))))
97.8%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3/2 binary64))) #s(literal -1/2 binary64)) x))
85.7%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(approx (/ (- 1 x) (sqrt x)) (neg.f64 (sqrt.f64 x))) #s(literal -1/2 binary64)) (*.f64 x x)))
✓5.8%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
✓5.8%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
85.8%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)) (*.f64 x x))))
97.3%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) x)))
85.6%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(approx (/ (- 1 x) (sqrt x)) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
37.4%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x))))
✓5.8%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 2 512 to 838 computations (66.6% saved)

regimes37.0ms (0.6%)

Memory
2.0MiB live, 39.7MiB allocated
Counts
69 → 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 (sqrt.f64 x) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) x)) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(approx (/ (- 1 x) (sqrt x)) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x)))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(approx (/ (- 1 x) (sqrt x)) (neg.f64 (sqrt.f64 x))) #s(literal -1/2 binary64)) (*.f64 x x)))
(/.f64 #s(approx (/ (* (- (+ x 1) x) -1) (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x)) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (sqrt.f64 x))))
(/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) #s(approx (* (neg (sqrt (+ 1 x))) (+ (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal -2 binary64) x)))
(/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (*.f64 #s(literal -2 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) (*.f64 x x)))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (/ (- (/ 1/4 x) 3/8) x) (/.f64 #s(literal -3/8 binary64) x))) x)) (sqrt.f64 x))
(-.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 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 x))) x) x))
(/.f64 #s(approx (/ (* (- (+ x 1) x) -1) (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x)) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (neg.f64 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) (neg.f64 x)) (neg.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (*.f64 x (/.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (/ (- (/ 1/4 x) 3/8) x) (/.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/4 binary64)) (*.f64 x x)))) x)) (sqrt.f64 x))
#s(approx (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (fma.f64 (/.f64 (*.f64 x #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -3/8 binary64)) x #s(literal 1/4 binary64)) (*.f64 x x))) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x)) x)) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x))
(*.f64 (neg.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x)) x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)))
(/.f64 #s(approx (/ (* (- (+ x 1) x) -1) (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x)) x)) (/.f64 x (sqrt.f64 x)))
(/.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 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (pow (+ (* x x) x) -1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (/.f64 x (sqrt.f64 x)))
(/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
(/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x))))
(/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) x)) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))))
(/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (neg.f64 (/.f64 x (sqrt.f64 x)))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (pow (+ (* x x) x) -1/2) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 x)))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 5/2 binary64))))
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (fma.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3/2 binary64))) #s(literal -1/2 binary64)) 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)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (hypot.f64 (sqrt.f64 x) x) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 (neg.f64 x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (hypot.f64 (sqrt.f64 x) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (sqrt (/ 1 x)) (sqrt x))) (* x 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 1/2 binary64))) x)))
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (fma.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) (sqrt.f64 x)))
(/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) (+.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))) (pow.f64 x #s(literal -1 binary64)))))
Outputs
(/.f64 (/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (hypot.f64 (sqrt.f64 x) x) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
Calls

2 calls:

18.0ms
x
16.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
99.7%1x
99.7%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)

regimes34.0ms (0.6%)

Memory
-0.8MiB live, 36.9MiB allocated
Counts
63 → 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 (sqrt.f64 x) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) x)) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(approx (/ (- 1 x) (sqrt x)) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x)))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(approx (/ (- 1 x) (sqrt x)) (neg.f64 (sqrt.f64 x))) #s(literal -1/2 binary64)) (*.f64 x x)))
(/.f64 #s(approx (/ (* (- (+ x 1) x) -1) (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x)) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (sqrt.f64 x))))
(/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) #s(approx (* (neg (sqrt (+ 1 x))) (+ (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal -2 binary64) x)))
(/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (*.f64 #s(literal -2 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) (*.f64 x x)))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (/ (- (/ 1/4 x) 3/8) x) (/.f64 #s(literal -3/8 binary64) x))) x)) (sqrt.f64 x))
(-.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 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 x))) x) x))
(/.f64 #s(approx (/ (* (- (+ x 1) x) -1) (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x)) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (neg.f64 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) (neg.f64 x)) (neg.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (*.f64 x (/.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (/ (- (/ 1/4 x) 3/8) x) (/.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/4 binary64)) (*.f64 x x)))) x)) (sqrt.f64 x))
#s(approx (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (fma.f64 (/.f64 (*.f64 x #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -3/8 binary64)) x #s(literal 1/4 binary64)) (*.f64 x x))) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x)) x)) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x))
(*.f64 (neg.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x)) x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)))
(/.f64 #s(approx (/ (* (- (+ x 1) x) -1) (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x)) x)) (/.f64 x (sqrt.f64 x)))
(/.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 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (pow (+ (* x x) x) -1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (/.f64 x (sqrt.f64 x)))
(/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
(/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x))))
(/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) x)) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))))
(/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (neg.f64 (/.f64 x (sqrt.f64 x)))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (pow (+ (* x x) x) -1/2) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 x)))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 5/2 binary64))))
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (fma.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3/2 binary64))) #s(literal -1/2 binary64)) 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)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Outputs
(/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (neg.f64 (/.f64 x (sqrt.f64 x)))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
Calls

2 calls:

17.0ms
x
15.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
99.6%1x
99.6%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)

regimes31.0ms (0.5%)

Memory
-12.4MiB live, 30.9MiB allocated
Counts
53 → 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 (sqrt.f64 x) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) x)) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(approx (/ (- 1 x) (sqrt x)) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x)))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(approx (/ (- 1 x) (sqrt x)) (neg.f64 (sqrt.f64 x))) #s(literal -1/2 binary64)) (*.f64 x x)))
(/.f64 #s(approx (/ (* (- (+ x 1) x) -1) (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x)) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (sqrt.f64 x))))
(/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) #s(approx (* (neg (sqrt (+ 1 x))) (+ (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal -2 binary64) x)))
(/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (*.f64 #s(literal -2 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) (*.f64 x x)))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (/ (- (/ 1/4 x) 3/8) x) (/.f64 #s(literal -3/8 binary64) x))) x)) (sqrt.f64 x))
(-.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 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 x))) x) x))
(/.f64 #s(approx (/ (* (- (+ x 1) x) -1) (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x)) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (neg.f64 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) (neg.f64 x)) (neg.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (*.f64 x (/.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (/ (- (/ 1/4 x) 3/8) x) (/.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/4 binary64)) (*.f64 x x)))) x)) (sqrt.f64 x))
#s(approx (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (fma.f64 (/.f64 (*.f64 x #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -3/8 binary64)) x #s(literal 1/4 binary64)) (*.f64 x x))) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x)) x)) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x))
(*.f64 (neg.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x)) x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)))
(/.f64 #s(approx (/ (* (- (+ x 1) x) -1) (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x)) x)) (/.f64 x (sqrt.f64 x)))
(/.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 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (pow (+ (* x x) x) -1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (/.f64 x (sqrt.f64 x)))
(/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
(/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x))))
(/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) x)) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))))
(/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Outputs
(/.f64 (/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
Calls

2 calls:

17.0ms
x
11.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
99.3%1x
99.3%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)

regimes28.0ms (0.5%)

Memory
-7.5MiB live, 30.3MiB allocated
Counts
50 → 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 (sqrt.f64 x) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) x)) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(approx (/ (- 1 x) (sqrt x)) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x)))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(approx (/ (- 1 x) (sqrt x)) (neg.f64 (sqrt.f64 x))) #s(literal -1/2 binary64)) (*.f64 x x)))
(/.f64 #s(approx (/ (* (- (+ x 1) x) -1) (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x)) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (sqrt.f64 x))))
(/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) #s(approx (* (neg (sqrt (+ 1 x))) (+ (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal -2 binary64) x)))
(/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (*.f64 #s(literal -2 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) (*.f64 x x)))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (/ (- (/ 1/4 x) 3/8) x) (/.f64 #s(literal -3/8 binary64) x))) x)) (sqrt.f64 x))
(-.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 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 x))) x) x))
(/.f64 #s(approx (/ (* (- (+ x 1) x) -1) (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x)) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (neg.f64 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) (neg.f64 x)) (neg.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (*.f64 x (/.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (/ (- (/ 1/4 x) 3/8) x) (/.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/4 binary64)) (*.f64 x x)))) x)) (sqrt.f64 x))
#s(approx (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (fma.f64 (/.f64 (*.f64 x #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -3/8 binary64)) x #s(literal 1/4 binary64)) (*.f64 x x))) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x)) x)) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x))
(*.f64 (neg.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x)) x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)))
(/.f64 #s(approx (/ (* (- (+ x 1) x) -1) (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x)) x)) (/.f64 x (sqrt.f64 x)))
(/.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 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (pow (+ (* x x) x) -1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (/.f64 x (sqrt.f64 x)))
(/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
(/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x))))
(/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) x)) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))))
(/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
Outputs
(/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
Calls

2 calls:

15.0ms
x
11.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
99.3%1x
99.3%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)

regimes23.0ms (0.4%)

Memory
27.5MiB live, 27.5MiB allocated
Counts
45 → 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 (sqrt.f64 x) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) x)) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(approx (/ (- 1 x) (sqrt x)) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x)))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(approx (/ (- 1 x) (sqrt x)) (neg.f64 (sqrt.f64 x))) #s(literal -1/2 binary64)) (*.f64 x x)))
(/.f64 #s(approx (/ (* (- (+ x 1) x) -1) (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x)) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (sqrt.f64 x))))
(/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) #s(approx (* (neg (sqrt (+ 1 x))) (+ (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal -2 binary64) x)))
(/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (*.f64 #s(literal -2 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) (*.f64 x x)))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (/ (- (/ 1/4 x) 3/8) x) (/.f64 #s(literal -3/8 binary64) x))) x)) (sqrt.f64 x))
(-.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 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 x))) x) x))
(/.f64 #s(approx (/ (* (- (+ x 1) x) -1) (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x)) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (neg.f64 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) (neg.f64 x)) (neg.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (*.f64 x (/.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (/ (- (/ 1/4 x) 3/8) x) (/.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/4 binary64)) (*.f64 x x)))) x)) (sqrt.f64 x))
#s(approx (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (fma.f64 (/.f64 (*.f64 x #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -3/8 binary64)) x #s(literal 1/4 binary64)) (*.f64 x x))) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x)) x)) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x))
(*.f64 (neg.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x)) x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)))
(/.f64 #s(approx (/ (* (- (+ x 1) x) -1) (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x)) x)) (/.f64 x (sqrt.f64 x)))
(/.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 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (pow (+ (* x x) x) -1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (/.f64 x (sqrt.f64 x)))
(/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
Outputs
(/.f64 #s(approx (/ (* (- (+ x 1) x) -1) (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
Calls

2 calls:

12.0ms
x
10.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
99.3%1x
99.3%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)

regimes22.0ms (0.4%)

Memory
-14.2MiB live, 23.9MiB allocated
Counts
38 → 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 (sqrt.f64 x) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) x)) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(approx (/ (- 1 x) (sqrt x)) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x)))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(approx (/ (- 1 x) (sqrt x)) (neg.f64 (sqrt.f64 x))) #s(literal -1/2 binary64)) (*.f64 x x)))
(/.f64 #s(approx (/ (* (- (+ x 1) x) -1) (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x)) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (sqrt.f64 x))))
(/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) #s(approx (* (neg (sqrt (+ 1 x))) (+ (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal -2 binary64) x)))
(/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (*.f64 #s(literal -2 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) (*.f64 x x)))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (/ (- (/ 1/4 x) 3/8) x) (/.f64 #s(literal -3/8 binary64) x))) x)) (sqrt.f64 x))
(-.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 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 x))) x) x))
(/.f64 #s(approx (/ (* (- (+ x 1) x) -1) (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x)) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (neg.f64 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) (neg.f64 x)) (neg.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (*.f64 x (/.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (/ (- (/ 1/4 x) 3/8) x) (/.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/4 binary64)) (*.f64 x x)))) x)) (sqrt.f64 x))
#s(approx (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (fma.f64 (/.f64 (*.f64 x #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -3/8 binary64)) x #s(literal 1/4 binary64)) (*.f64 x x))) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x)) x)) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x))
(*.f64 (neg.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x)) x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)))
Outputs
(/.f64 (/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
Calls

2 calls:

11.0ms
x
10.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
99.0%1x
99.0%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)

regimes18.0ms (0.3%)

Memory
21.5MiB live, 21.5MiB allocated
Counts
34 → 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 (sqrt.f64 x) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) x)) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(approx (/ (- 1 x) (sqrt x)) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x)))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(approx (/ (- 1 x) (sqrt x)) (neg.f64 (sqrt.f64 x))) #s(literal -1/2 binary64)) (*.f64 x x)))
(/.f64 #s(approx (/ (* (- (+ x 1) x) -1) (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x)) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (sqrt.f64 x))))
(/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) #s(approx (* (neg (sqrt (+ 1 x))) (+ (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal -2 binary64) x)))
(/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (*.f64 #s(literal -2 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) (*.f64 x x)))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (/ (- (/ 1/4 x) 3/8) x) (/.f64 #s(literal -3/8 binary64) x))) x)) (sqrt.f64 x))
(-.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 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 x))) x) x))
(/.f64 #s(approx (/ (* (- (+ x 1) x) -1) (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x)) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (neg.f64 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) (neg.f64 x)) (neg.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (*.f64 x (/.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (/ (- (/ 1/4 x) 3/8) x) (/.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/4 binary64)) (*.f64 x x)))) x)) (sqrt.f64 x))
#s(approx (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (fma.f64 (/.f64 (*.f64 x #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -3/8 binary64)) x #s(literal 1/4 binary64)) (*.f64 x x))) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x)) x)) (sqrt.f64 x))
Outputs
(/.f64 #s(approx (/ (* (- (+ x 1) x) -1) (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x)) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
Calls

2 calls:

9.0ms
x
8.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
98.9%1x
98.9%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)

regimes15.0ms (0.3%)

Memory
-22.4MiB live, 15.9MiB allocated
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 (sqrt.f64 x) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) x)) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(approx (/ (- 1 x) (sqrt x)) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x)))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(approx (/ (- 1 x) (sqrt x)) (neg.f64 (sqrt.f64 x))) #s(literal -1/2 binary64)) (*.f64 x x)))
(/.f64 #s(approx (/ (* (- (+ x 1) x) -1) (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x)) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (sqrt.f64 x))))
(/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) #s(approx (* (neg (sqrt (+ 1 x))) (+ (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal -2 binary64) x)))
(/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (*.f64 #s(literal -2 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) (*.f64 x x)))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (/ (- (/ 1/4 x) 3/8) x) (/.f64 #s(literal -3/8 binary64) x))) x)) (sqrt.f64 x))
(-.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 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 x))) x) x))
Outputs
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 x))
Calls

2 calls:

7.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
7.0ms
x
Results
AccuracySegmentsBranch
98.8%1x
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)))))
Compiler

Compiled 12 to 9 computations (25% saved)

regimes11.0ms (0.2%)

Memory
12.9MiB live, 12.9MiB allocated
Counts
18 → 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 (sqrt.f64 x) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) x)) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(approx (/ (- 1 x) (sqrt x)) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x)))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(approx (/ (- 1 x) (sqrt x)) (neg.f64 (sqrt.f64 x))) #s(literal -1/2 binary64)) (*.f64 x x)))
(/.f64 #s(approx (/ (* (- (+ x 1) x) -1) (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x)) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (sqrt.f64 x))))
(/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) #s(approx (* (neg (sqrt (+ 1 x))) (+ (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal -2 binary64) x)))
(/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (*.f64 #s(literal -2 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) (*.f64 x x)))
Outputs
(/.f64 #s(approx (/ (* (- (+ x 1) x) -1) (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x)) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
Calls

2 calls:

5.0ms
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
97.5%1x
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)))))
Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

Memory
8.4MiB live, 8.4MiB allocated
Counts
9 → 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 (sqrt.f64 x) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) x)) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(approx (/ (- 1 x) (sqrt x)) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x)))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(approx (/ (- 1 x) (sqrt x)) (neg.f64 (sqrt.f64 x))) #s(literal -1/2 binary64)) (*.f64 x x)))
Outputs
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x))
Calls

2 calls:

3.0ms
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
97.4%1x
97.4%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)

regimes4.0ms (0.1%)

Memory
5.6MiB live, 5.6MiB allocated
Counts
4 → 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 (sqrt.f64 x) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x))))
Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.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
37.4%1x
37.4%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)

regimes6.0ms (0.1%)

Memory
-36.6MiB live, 5.3MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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 (sqrt.f64 x) x))
Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
Calls

2 calls:

4.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
2.0ms
x
Results
AccuracySegmentsBranch
5.8%1x
5.8%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)

simplify73.0ms (1.3%)

Memory
33.7MiB live, 72.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
085327
1128325
2203321
3325315
4551315
5884315
61140315
71305315
81408315
91537315
101692315
111789315
121836315
131848315
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (hypot.f64 (sqrt.f64 x) x) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (neg.f64 (/.f64 x (sqrt.f64 x)))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(/.f64 (/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(/.f64 #s(approx (/ (* (- (+ x 1) x) -1) (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(approx (/ (* (- (+ x 1) x) -1) (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x)) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (* (- (+ x 1) x) -1) (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x)) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
Outputs
(/.f64 (/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (hypot.f64 (sqrt.f64 x) x) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (+.f64 (hypot.f64 (sqrt.f64 x) x) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (neg.f64 (/.f64 x (sqrt.f64 x)))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (sqrt.f64 x)) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(approx (/ (* (- (+ x 1) x) -1) (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 (*.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) #s(approx (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (/ (* (- (+ x 1) x) -1) (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x)) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (* (- (+ x 1) x) -1) (+ (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) x)) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))

soundness889.0ms (15.4%)

Memory
15.7MiB live, 435.0MiB allocated
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0114463
0349430
05142069
018841950
053251
086251
1374226
23364206
09018203
0823
01423
16719
258219
3706517
0809117
035183
058169
1251138
22119125
08735125
06582696
024262537
046245
075242
1378207
23299202
011973202
05382281
019502147
Stop Event
1×fuel
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×iter limit
1×unsound
Compiler

Compiled 1 205 to 530 computations (56% saved)

preprocess63.0ms (1.1%)

Memory
-16.7MiB live, 93.2MiB allocated
Compiler

Compiled 670 to 200 computations (70.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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