2isqrt (example 3.6)

Time bar (total: 8.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory
1.6MiB live, 1.6MiB 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)

sample2.3s (29.4%)

Memory
26.3MiB live, 2 411.2MiB allocated
Samples
1.6s6 870×1valid
298.0ms1 097×2valid
26.0ms289×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.6s
ival-sqrt: 563.0ms (34.3% of total)
ival-div: 322.0ms (19.6% of total)
adjust: 260.0ms (15.8% of total)
const: 200.0ms (12.2% of total)
ival-sub: 106.0ms (6.5% of total)
ival-add: 94.0ms (5.7% of total)
ival->: 53.0ms (3.2% of total)
ival-<: 20.0ms (1.2% of total)
ival-and: 12.0ms (0.7% of total)
exact: 7.0ms (0.4% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain143.0ms (1.8%)

Memory
16.4MiB live, 261.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1801(3.9303369231742957e+214)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)))))cancellation1810
Confusion
Predicted +Predicted -
+1800
-175
Precision
0.994475138121547
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+18000
-1075
Precision?
0.994475138121547
Recall?
1.0
Freqs
test
numberfreq
075
1181
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
66.0ms428×1valid
15.0ms70×2valid
1.0ms14×0valid
Compiler

Compiled 79 to 28 computations (64.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-sqrt: 16.0ms (30.3% of total)
ival-div: 14.0ms (26.5% of total)
adjust: 11.0ms (20.8% of total)
ival-add: 6.0ms (11.3% of total)
ival-sub: 5.0ms (9.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess16.0ms (0.2%)

Memory
-42.7MiB live, 19.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01027
11327
0811
01411
11711
01711
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)))))
Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶36.7%
(-.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)

simplify3.0ms (0%)

Memory
4.5MiB live, 4.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0832
01432
11732
01732
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))

localize47.0ms (0.6%)

Memory
6.4MiB live, 53.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sqrt.f64 x)
accuracy0.25390625
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
accuracy0.2578125
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
accuracy40.488990763039865
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Samples
31.0ms214×1valid
7.0ms35×2valid
0.0ms7×0valid
Compiler

Compiled 34 to 10 computations (70.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-div: 10.0ms (35.7% of total)
ival-sqrt: 8.0ms (28.5% of total)
adjust: 5.0ms (17.8% of total)
ival-add: 2.0ms (7.1% of total)
ival-sub: 2.0ms (7.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
6.5MiB live, 6.5MiB 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))
(sqrt.f64 x)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
Outputs
(sqrt (/ 1 x))
(/ (+ (sqrt x) (* -1 x)) x)
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)
(sqrt x)
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 3/8 x) 1/2)))
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))
(* 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))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (/ 1 (sqrt (+ x 1))))
2.0ms
x
@inf
((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (/ 1 (sqrt (+ x 1))))
1.0ms
x
@0
((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (/ 1 (sqrt (+ x 1))))

simplify148.0ms (1.8%)

Memory
21.5MiB live, 163.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114457
1333395
21237369
36312369
08119348
Stop Event
1×iter limit
1×node limit
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)
(sqrt x)
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 3/8 x) 1/2)))
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))
(* 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))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
Outputs
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ (+ (sqrt x) (* -1 x)) x)
(/.f64 (-.f64 (sqrt.f64 x) x) x)
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x)
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)
(/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x)
(sqrt x)
(sqrt.f64 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 (-.f64 (*.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 (-.f64 (*.f64 (fma.f64 #s(literal -5/16 binary64) x #s(literal 3/8 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(* 1/2 (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 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)) #s(literal -1/2 binary64))
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x))
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (fma.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)))) (neg.f64 (sqrt.f64 x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (*.f64 x x))
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))
(fma.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #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)))))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (sqrt.f64 x) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))

rewrite154.0ms (1.9%)

Memory
-13.1MiB live, 256.6MiB allocated
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0823
01423
15919
241619
3567917
0879117
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 261
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))
(sqrt.f64 x)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (/.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 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (neg.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) (neg.f64 (hypot.f64 (sqrt.f64 x) x)))
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(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(neg.f64 (pow.f64 x #s(literal -1/2 binary64)))
(sqrt.f64 (pow.f64 x #s(literal -1 binary64)))
(-.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (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 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal -2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)))
(*.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 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 x) #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 (log.f64 (sqrt.f64 x))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal -1 binary64)) (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) (sinh.f64 (acosh.f64 x))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 (asinh.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 (neg.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 (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 (+.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)) (neg.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)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64)))
(*.f64 #s(literal -1 binary64) (cos.f64 (atan.f64 (sqrt.f64 x))))
(*.f64 (cos.f64 (atan.f64 (sqrt.f64 x))) #s(literal -1 binary64))
(*.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 (neg.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64))
(pow.f64 (fabs.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (fabs.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal -2 binary64))
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (cos.f64 (atan.f64 (sqrt.f64 x))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))
(/.f64 (/.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 (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 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (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) (fabs.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (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 (cos.f64 (atan.f64 (sqrt.f64 x))))
(sqrt.f64 (exp.f64 (neg.f64 (log1p.f64 x))))
(-.f64 (cosh.f64 (*.f64 #s(literal -1/2 binary64) (log1p.f64 x))) (sinh.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))))
(fabs.f64 (cos.f64 (atan.f64 (sqrt.f64 x))))
(cos.f64 (atan.f64 (fabs.f64 (neg.f64 (sqrt.f64 x)))))
(cos.f64 (atan.f64 (fabs.f64 (sqrt.f64 x))))
(cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))
(cos.f64 (atan.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 (*.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) #s(literal 1/4 binary64)) #s(literal -2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (log1p.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log1p.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log1p.f64 x)) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log1p.f64 x)))

eval193.0ms (2.4%)

Memory
71.8MiB live, 138.6MiB allocated
Compiler

Compiled 5 466 to 776 computations (85.8% saved)

prune18.0ms (0.2%)

Memory
-39.5MiB live, 50.0MiB allocated
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New27510285
Fresh000
Picked011
Done000
Total27511286
Accuracy
84.7%
Counts
286 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶36.8%
(/.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))
35.5%
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))))
38.7%
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)))
6.0%
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (hypot.f64 (sqrt.f64 x) x)) (*.f64 (hypot.f64 (sqrt.f64 x) x) (sqrt.f64 x))) (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal 2 binary64)))
▶36.8%
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))
✓36.7%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶36.8%
(*.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))))
▶84.2%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x)))
83.2%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)) #s(literal -1/2 binary64)))
66.0%
#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)))
▶5.6%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 461 to 292 computations (36.7% saved)

simplify224.0ms (2.8%)

Memory
34.9MiB live, 231.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
cost-diff0
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sinh.f64 (acosh.f64 x)))
cost-diff0
(*.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))))
cost-diff1
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x))
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
cost-diff0
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
cost-diff0
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))
cost-diff0
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
cost-diff0
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
cost-diff1
(/.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))
cost-diff3
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff0
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x))
cost-diff0
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x))
cost-diff0
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x)))
cost-diff1
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040315
071315
1131303
2388302
31600302
47287302
08165302
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(literal 1/2 binary64)
(fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x))
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))
#s(literal 1/4 binary64)
x
#s(literal 1 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(sqrt.f64 x)
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(literal -1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(*.f64 x x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(sqrt.f64 x)
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(sqrt.f64 x)
(hypot.f64 (sqrt.f64 x) x)
(*.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))))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sinh.f64 (acosh.f64 x)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(sqrt.f64 x)
(sinh.f64 (acosh.f64 x))
(acosh.f64 x)
(sqrt.f64 (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(fma.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
#s(literal 1/2 binary64)
(fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x))
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))
#s(literal 1/4 binary64)
x
#s(literal 1 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(sqrt.f64 x)
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(*.f64 x x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.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 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(sqrt.f64 x)
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(sqrt.f64 x)
(hypot.f64 (sqrt.f64 x) x)
(*.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))))
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 1 binary64)) (sinh.f64 (acosh.f64 x))))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sinh.f64 (acosh.f64 x)))
(/.f64 (-.f64 (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 1 binary64)) (sinh.f64 (acosh.f64 x)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x))
(-.f64 (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 1 binary64))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(sqrt.f64 x)
(sinh.f64 (acosh.f64 x))
(acosh.f64 x)
(sqrt.f64 (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))

localize263.0ms (3.3%)

Memory
-21.5MiB live, 260.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.31478500976844204
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x))
accuracy5.9374766988093715
(sinh.f64 (acosh.f64 x))
accuracy9.867210400956662
(*.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))))
accuracy60.092087067516225
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
accuracy0.0
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
accuracy0.0
(sqrt.f64 x)
accuracy0.17578125
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))
accuracy60.092087067516225
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
accuracy0.0
(sqrt.f64 x)
accuracy0.244472509768442
(/.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))
accuracy0.33041000976844204
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
accuracy60.092087067516225
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
accuracy0.0
(/.f64 #s(literal 1 binary64) x)
accuracy0.125
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy60.40410513456701
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
accuracy0.31220321084636293
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x)))
accuracy0.3425982955150694
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
accuracy9.830432910725104
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x))
accuracy20.43421733510085
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
Samples
167.0ms214×1valid
26.0ms35×2valid
2.0ms7×0valid
Compiler

Compiled 307 to 40 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 159.0ms
adjust: 61.0ms (38.3% of total)
ival-div: 27.0ms (16.9% of total)
ival-sqrt: 19.0ms (11.9% of total)
ival-mult: 13.0ms (8.2% of total)
ival-hypot: 9.0ms (5.6% of total)
ival-add: 8.0ms (5% of total)
ival-acosh: 7.0ms (4.4% of total)
ival-sub: 6.0ms (3.8% of total)
ival-sinh: 5.0ms (3.1% of total)
ival-pow: 3.0ms (1.9% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series52.0ms (0.7%)

Memory
15.7MiB live, 104.7MiB allocated
Counts
20 → 135
Calls
Call 1
Inputs
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x))
(fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #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))))
(/.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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))
(+.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 (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))))
(/.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 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(sqrt.f64 x)
(sinh.f64 (acosh.f64 x))
Outputs
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (sqrt x))))) (pow x 2))
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))) (pow x 2))
(sqrt (/ 1 x))
(/ (+ (sqrt x) (* -1 x)) x)
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)
(* 1/2 (sqrt (/ 1 (pow x 7))))
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (sqrt x))))) (pow x 4))
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))) (pow x 4))
(sqrt (/ 1 (pow x 3)))
(/ (+ (sqrt x) (* 1/4 (sqrt (pow x 3)))) (pow x 2))
(/ (+ (sqrt x) (* x (+ (sqrt (pow x 3)) (* 1/4 (sqrt x))))) (pow x 2))
(/ 1 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))
(* (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 (* 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
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(+ 1 x)
(/ (+ (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/2 (sqrt x)))) (* (sqrt x) (- 1 (sqrt x)))) x)
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/16 (sqrt (pow x 3))))))) (* (sqrt x) (- 1 (sqrt x)))) x)
(* 2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (- 1 (sqrt x))) (- (sqrt -1) (/ 1 (sqrt -1))))))
(/ (+ (* 2 (* (sqrt x) (/ (* (sqrt -1) (- 1 (sqrt x))) (- (sqrt -1) (/ 1 (sqrt -1)))))) (* (sqrt (pow x 3)) (* (sqrt -1) (- (/ 1 (- (sqrt -1) (/ 1 (sqrt -1)))) (* 2 (/ (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- 1 (sqrt x))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))))) x)
(/ (+ (* 2 (* (sqrt x) (/ (* (sqrt -1) (- 1 (sqrt x))) (- (sqrt -1) (/ 1 (sqrt -1)))))) (* x (+ (* x (+ (* -1 (* (sqrt x) (* (sqrt -1) (+ (* 1/4 (/ 1 (- (sqrt -1) (/ 1 (sqrt -1))))) (+ (* 2 (/ (* (- 1 (sqrt x)) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (/ (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (/ 1 (- (sqrt -1) (/ 1 (sqrt -1)))) (* 2 (/ (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- 1 (sqrt x))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))) (- (sqrt -1) (/ 1 (sqrt -1))))))))) (* (sqrt (/ 1 x)) (/ (- 1 (sqrt x)) (* (sqrt -1) (- (sqrt -1) (/ 1 (sqrt -1)))))))) (* (sqrt x) (* (sqrt -1) (- (/ 1 (- (sqrt -1) (/ 1 (sqrt -1)))) (* 2 (/ (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- 1 (sqrt x))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))))))) x)
(/ (+ (* 2 (* (sqrt x) (/ (* (sqrt -1) (- 1 (sqrt x))) (- (sqrt -1) (/ 1 (sqrt -1)))))) (* x (+ (* x (+ (* -1 (* (sqrt x) (* (sqrt -1) (+ (* 1/4 (/ 1 (- (sqrt -1) (/ 1 (sqrt -1))))) (+ (* 2 (/ (* (- 1 (sqrt x)) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (/ (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (/ 1 (- (sqrt -1) (/ 1 (sqrt -1)))) (* 2 (/ (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- 1 (sqrt x))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))) (- (sqrt -1) (/ 1 (sqrt -1))))))))) (+ (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (/ (- (/ 1 (- (sqrt -1) (/ 1 (sqrt -1)))) (* 2 (/ (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- 1 (sqrt x))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2)))) (sqrt -1)))) (* (sqrt x) (* (sqrt -1) (- (* 1/8 (/ 1 (- (sqrt -1) (/ 1 (sqrt -1))))) (+ (* -1 (/ (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (+ (* 2 (/ (* (- 1 (sqrt x)) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (+ (* 1/4 (/ 1 (- (sqrt -1) (/ 1 (sqrt -1))))) (/ (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (/ 1 (- (sqrt -1) (/ 1 (sqrt -1)))) (* 2 (/ (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- 1 (sqrt x))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))) (- (sqrt -1) (/ 1 (sqrt -1))))))) (- (sqrt -1) (/ 1 (sqrt -1))))) (/ (* (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) (- (/ 1 (- (sqrt -1) (/ 1 (sqrt -1)))) (* 2 (/ (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- 1 (sqrt x))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))) (- (sqrt -1) (/ 1 (sqrt -1)))))))))) (* (sqrt (/ 1 x)) (/ (- 1 (sqrt x)) (* (sqrt -1) (- (sqrt -1) (/ 1 (sqrt -1))))))))) (* (sqrt x) (* (sqrt -1) (- (/ 1 (- (sqrt -1) (/ 1 (sqrt -1)))) (* 2 (/ (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- 1 (sqrt x))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))))))) x)
(* 2 (* (sqrt (/ 1 x)) (/ (- 1 (sqrt x)) (- (sqrt -1) (/ 1 (sqrt -1))))))
(/ (+ (* 2 (* (sqrt x) (/ (- 1 (sqrt x)) (- (sqrt -1) (/ 1 (sqrt -1)))))) (* (sqrt (pow x 3)) (- (/ 1 (- (sqrt -1) (/ 1 (sqrt -1)))) (* 2 (/ (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- 1 (sqrt x))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2)))))) x)
(/ (+ (* 2 (* (sqrt x) (/ (- 1 (sqrt x)) (- (sqrt -1) (/ 1 (sqrt -1)))))) (* x (+ (* -1 (* (sqrt (pow x 3)) (+ (* 1/4 (/ 1 (- (sqrt -1) (/ 1 (sqrt -1))))) (+ (* 2 (/ (* (- 1 (sqrt x)) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (/ (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (/ 1 (- (sqrt -1) (/ 1 (sqrt -1)))) (* 2 (/ (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- 1 (sqrt x))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))) (- (sqrt -1) (/ 1 (sqrt -1)))))))) (* (sqrt x) (- (/ 1 (- (sqrt -1) (/ 1 (sqrt -1)))) (* 2 (/ (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- 1 (sqrt x))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2)))))))) x)
(/ (+ (* 2 (* (sqrt x) (/ (- 1 (sqrt x)) (- (sqrt -1) (/ 1 (sqrt -1)))))) (* x (+ (* x (+ (* -1 (* (sqrt x) (+ (* 1/4 (/ 1 (- (sqrt -1) (/ 1 (sqrt -1))))) (+ (* 2 (/ (* (- 1 (sqrt x)) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (/ (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (/ 1 (- (sqrt -1) (/ 1 (sqrt -1)))) (* 2 (/ (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- 1 (sqrt x))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))) (- (sqrt -1) (/ 1 (sqrt -1)))))))) (* (sqrt (pow x 3)) (- (* 1/8 (/ 1 (- (sqrt -1) (/ 1 (sqrt -1))))) (+ (* -1 (/ (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (+ (* 2 (/ (* (- 1 (sqrt x)) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (+ (* 1/4 (/ 1 (- (sqrt -1) (/ 1 (sqrt -1))))) (/ (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (/ 1 (- (sqrt -1) (/ 1 (sqrt -1)))) (* 2 (/ (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- 1 (sqrt x))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))) (- (sqrt -1) (/ 1 (sqrt -1))))))) (- (sqrt -1) (/ 1 (sqrt -1))))) (/ (* (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) (- (/ 1 (- (sqrt -1) (/ 1 (sqrt -1)))) (* 2 (/ (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- 1 (sqrt x))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))) (- (sqrt -1) (/ 1 (sqrt -1))))))))) (* (sqrt x) (- (/ 1 (- (sqrt -1) (/ 1 (sqrt -1)))) (* 2 (/ (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- 1 (sqrt x))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2)))))))) x)
(/ 1 (pow x 3))
(sqrt x)
(* 1/2 (- (sqrt -1) (/ 1 (sqrt -1))))
(+ (* 1/2 (* x (+ 1 (/ 1 (pow (sqrt -1) 2))))) (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))))
(+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (+ (* 1/2 (* x (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))))))
(+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (+ (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) (* x (+ (* 1/2 (* (pow x 2) (- (* 1/8 (/ 1 (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))))))
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(/ -1 (* x (* (pow (sqrt -1) 2) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))
(* -1 (/ (+ (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (- (* -1/4 (* (sqrt (pow x 3)) (/ 1 (* (pow (sqrt -1) 3) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))) (* (sqrt x) (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* (sqrt -1) (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2))))))) (/ 1 (* (pow (sqrt -1) 2) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))))) x))
(* -1 (/ (+ (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (- (* -1/4 (* (sqrt (pow x 3)) (/ 1 (* (pow (sqrt -1) 3) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))) (* (sqrt x) (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* (sqrt -1) (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2))))))) (+ (* (sqrt (/ 1 (pow x 9))) (* (sqrt -1) (- (* 1/8 (* (sqrt (pow x 5)) (/ 1 (* (pow (sqrt -1) 5) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))) (+ (* (sqrt x) (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* (sqrt -1) (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)))) (/ (* (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (- (* -1/4 (* (sqrt (pow x 3)) (/ 1 (* (pow (sqrt -1) 3) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))) (* (sqrt x) (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* (sqrt -1) (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)))))) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))))))) (/ 1 (* (pow (sqrt -1) 2) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))) x))
(* -1 (/ (+ (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (- (* -1/4 (* (sqrt (pow x 3)) (/ 1 (* (pow (sqrt -1) 3) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))) (* (sqrt x) (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* (sqrt -1) (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2))))))) (+ (* (sqrt (/ 1 (pow x 9))) (* (sqrt -1) (- (* 1/8 (* (sqrt (pow x 5)) (/ 1 (* (pow (sqrt -1) 5) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))) (+ (* (sqrt x) (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* (sqrt -1) (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)))) (/ (* (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (- (* -1/4 (* (sqrt (pow x 3)) (/ 1 (* (pow (sqrt -1) 3) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))) (* (sqrt x) (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* (sqrt -1) (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)))))) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))))))) (+ (* (sqrt (/ 1 (pow x 13))) (* (sqrt -1) (- (* -5/64 (* (sqrt (pow x 7)) (/ 1 (* (pow (sqrt -1) 7) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))) (+ (* (sqrt x) (/ (+ (* 5/64 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/32 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* (sqrt -1) (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)))) (+ (/ (* (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (- (* -1/4 (* (sqrt (pow x 3)) (/ 1 (* (pow (sqrt -1) 3) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))) (* (sqrt x) (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* (sqrt -1) (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)))))) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (/ (* (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (- (* 1/8 (* (sqrt (pow x 5)) (/ 1 (* (pow (sqrt -1) 5) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))) (+ (* (sqrt x) (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* (sqrt -1) (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)))) (/ (* (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (- (* -1/4 (* (sqrt (pow x 3)) (/ 1 (* (pow (sqrt -1) 3) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))) (* (sqrt x) (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* (sqrt -1) (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)))))) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))))) (/ 1 (* (pow (sqrt -1) 2) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))))))) x))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))
(+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2))))
(+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (+ (* 1/2 (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 4))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2)))))
(+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (+ (* 1/2 (/ (+ (* 5/64 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/32 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 4))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2))))))
Calls

3 calls:

TimeVariablePointExpression
22.0ms
x
@-inf
((+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (+ x 1) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (* (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (sinh (acosh x))) (sqrt (- x 1))) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (sinh (acosh x))) (sqrt (/ 1 (pow x 3))) (/ 1 (pow x 3)) (sqrt x) (sinh (acosh x)))
16.0ms
x
@inf
((+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (+ x 1) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (* (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (sinh (acosh x))) (sqrt (- x 1))) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (sinh (acosh x))) (sqrt (/ 1 (pow x 3))) (/ 1 (pow x 3)) (sqrt x) (sinh (acosh x)))
10.0ms
x
@0
((+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (+ x 1) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (* (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (sinh (acosh x))) (sqrt (- x 1))) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (sinh (acosh x))) (sqrt (/ 1 (pow x 3))) (/ 1 (pow x 3)) (sqrt x) (sinh (acosh x)))

simplify189.0ms (2.4%)

Memory
15.2MiB live, 205.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08357488
128665707
089475487
Stop Event
1×iter limit
1×node limit
Counts
135 → 134
Calls
Call 1
Inputs
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (sqrt x))))) (pow x 2))
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))) (pow x 2))
(sqrt (/ 1 x))
(/ (+ (sqrt x) (* -1 x)) x)
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)
(* 1/2 (sqrt (/ 1 (pow x 7))))
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (sqrt x))))) (pow x 4))
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))) (pow x 4))
(sqrt (/ 1 (pow x 3)))
(/ (+ (sqrt x) (* 1/4 (sqrt (pow x 3)))) (pow x 2))
(/ (+ (sqrt x) (* x (+ (sqrt (pow x 3)) (* 1/4 (sqrt x))))) (pow x 2))
(/ 1 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))
(* (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 (* 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
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(+ 1 x)
(/ (+ (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/2 (sqrt x)))) (* (sqrt x) (- 1 (sqrt x)))) x)
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/16 (sqrt (pow x 3))))))) (* (sqrt x) (- 1 (sqrt x)))) x)
(* 2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (- 1 (sqrt x))) (- (sqrt -1) (/ 1 (sqrt -1))))))
(/ (+ (* 2 (* (sqrt x) (/ (* (sqrt -1) (- 1 (sqrt x))) (- (sqrt -1) (/ 1 (sqrt -1)))))) (* (sqrt (pow x 3)) (* (sqrt -1) (- (/ 1 (- (sqrt -1) (/ 1 (sqrt -1)))) (* 2 (/ (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- 1 (sqrt x))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))))) x)
(/ (+ (* 2 (* (sqrt x) (/ (* (sqrt -1) (- 1 (sqrt x))) (- (sqrt -1) (/ 1 (sqrt -1)))))) (* x (+ (* x (+ (* -1 (* (sqrt x) (* (sqrt -1) (+ (* 1/4 (/ 1 (- (sqrt -1) (/ 1 (sqrt -1))))) (+ (* 2 (/ (* (- 1 (sqrt x)) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (/ (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (/ 1 (- (sqrt -1) (/ 1 (sqrt -1)))) (* 2 (/ (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- 1 (sqrt x))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))) (- (sqrt -1) (/ 1 (sqrt -1))))))))) (* (sqrt (/ 1 x)) (/ (- 1 (sqrt x)) (* (sqrt -1) (- (sqrt -1) (/ 1 (sqrt -1)))))))) (* (sqrt x) (* (sqrt -1) (- (/ 1 (- (sqrt -1) (/ 1 (sqrt -1)))) (* 2 (/ (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- 1 (sqrt x))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))))))) x)
(/ (+ (* 2 (* (sqrt x) (/ (* (sqrt -1) (- 1 (sqrt x))) (- (sqrt -1) (/ 1 (sqrt -1)))))) (* x (+ (* x (+ (* -1 (* (sqrt x) (* (sqrt -1) (+ (* 1/4 (/ 1 (- (sqrt -1) (/ 1 (sqrt -1))))) (+ (* 2 (/ (* (- 1 (sqrt x)) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (/ (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (/ 1 (- (sqrt -1) (/ 1 (sqrt -1)))) (* 2 (/ (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- 1 (sqrt x))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))) (- (sqrt -1) (/ 1 (sqrt -1))))))))) (+ (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (/ (- (/ 1 (- (sqrt -1) (/ 1 (sqrt -1)))) (* 2 (/ (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- 1 (sqrt x))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2)))) (sqrt -1)))) (* (sqrt x) (* (sqrt -1) (- (* 1/8 (/ 1 (- (sqrt -1) (/ 1 (sqrt -1))))) (+ (* -1 (/ (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (+ (* 2 (/ (* (- 1 (sqrt x)) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (+ (* 1/4 (/ 1 (- (sqrt -1) (/ 1 (sqrt -1))))) (/ (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (/ 1 (- (sqrt -1) (/ 1 (sqrt -1)))) (* 2 (/ (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- 1 (sqrt x))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))) (- (sqrt -1) (/ 1 (sqrt -1))))))) (- (sqrt -1) (/ 1 (sqrt -1))))) (/ (* (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) (- (/ 1 (- (sqrt -1) (/ 1 (sqrt -1)))) (* 2 (/ (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- 1 (sqrt x))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))) (- (sqrt -1) (/ 1 (sqrt -1)))))))))) (* (sqrt (/ 1 x)) (/ (- 1 (sqrt x)) (* (sqrt -1) (- (sqrt -1) (/ 1 (sqrt -1))))))))) (* (sqrt x) (* (sqrt -1) (- (/ 1 (- (sqrt -1) (/ 1 (sqrt -1)))) (* 2 (/ (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- 1 (sqrt x))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))))))) x)
(* 2 (* (sqrt (/ 1 x)) (/ (- 1 (sqrt x)) (- (sqrt -1) (/ 1 (sqrt -1))))))
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(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (+ (* 1/2 (* (pow (sqrt -1) 2) (+ (* -1 (pow (sqrt -1) 4)) (* 1/4 (pow (sqrt -1) 4))))) (pow (sqrt -1) 6)))) (* 1/16 (sqrt (pow x 3)))) x)) (+ (* -1/4 (* (sqrt x) (+ (* -1 (pow (sqrt -1) 4)) (* 1/4 (pow (sqrt -1) 4))))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (* 1/2 (sqrt x))) (pow x 2))
(/ -1/2 (* x (pow (sqrt -1) 2)))
(* -1 (/ (+ (* 1/8 (/ 1 (* x (pow (sqrt -1) 4)))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) x))
(* -1 (/ (- (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 6))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x))
(* -1 (/ (- (+ (* 1/16 (/ 1 (* (pow x 2) (pow (sqrt -1) 6)))) (+ (* 5/128 (/ 1 (* (pow x 3) (pow (sqrt -1) 8)))) (* 1/2 (/ 1 (pow (sqrt -1) 2))))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x))
(* -1 (* (sqrt (/ 1 x)) (/ 1 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))))) (* (sqrt x) (/ 1 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (pow x 3)) (/ 1 (* (pow (sqrt -1) 2) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))) (* -1/8 (* (sqrt x) (/ 1 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))) (* (sqrt x) (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)))) x)) (* 1/2 (* (sqrt x) (/ 1 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))) x)) (* (sqrt x) (/ 1 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ (* 1/16 (* (sqrt x) (/ 1 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))))) (* 1/2 (- (* -1/4 (* (sqrt (pow x 3)) (/ 1 (* (pow (sqrt -1) 2) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))) (* (sqrt x) (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)))))) x)) (+ (* -1/4 (* (sqrt (pow x 3)) (/ 1 (* (pow (sqrt -1) 2) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))) (* -1/8 (* (sqrt x) (/ 1 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))))))) (* (sqrt x) (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)))) x)) (* 1/2 (* (sqrt x) (/ 1 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))) x)) (* (sqrt x) (/ 1 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))))) x))
(/ -1 (* x (* (pow (sqrt -1) 2) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))
(* -1 (/ (+ (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (- (* -1/4 (* (sqrt (pow x 3)) (/ 1 (* (pow (sqrt -1) 3) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))) (* (sqrt x) (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* (sqrt -1) (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2))))))) (/ 1 (* (pow (sqrt -1) 2) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))))) x))
(* -1 (/ (+ (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (- (* -1/4 (* (sqrt (pow x 3)) (/ 1 (* (pow (sqrt -1) 3) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))) (* (sqrt x) (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* (sqrt -1) (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2))))))) (+ (* (sqrt (/ 1 (pow x 9))) (* (sqrt -1) (- (* 1/8 (* (sqrt (pow x 5)) (/ 1 (* (pow (sqrt -1) 5) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))) (+ (* (sqrt x) (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* (sqrt -1) (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)))) (/ (* (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (- (* -1/4 (* (sqrt (pow x 3)) (/ 1 (* (pow (sqrt -1) 3) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))) (* (sqrt x) (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* (sqrt -1) (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)))))) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))))))) (/ 1 (* (pow (sqrt -1) 2) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))) x))
(* -1 (/ (+ (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (- (* -1/4 (* (sqrt (pow x 3)) (/ 1 (* (pow (sqrt -1) 3) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))) (* (sqrt x) (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* (sqrt -1) (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2))))))) (+ (* (sqrt (/ 1 (pow x 9))) (* (sqrt -1) (- (* 1/8 (* (sqrt (pow x 5)) (/ 1 (* (pow (sqrt -1) 5) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))) (+ (* (sqrt x) (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* (sqrt -1) (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)))) (/ (* (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (- (* -1/4 (* (sqrt (pow x 3)) (/ 1 (* (pow (sqrt -1) 3) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))) (* (sqrt x) (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* (sqrt -1) (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)))))) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))))))) (+ (* (sqrt (/ 1 (pow x 13))) (* (sqrt -1) (- (* -5/64 (* (sqrt (pow x 7)) (/ 1 (* (pow (sqrt -1) 7) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))) (+ (* (sqrt x) (/ (+ (* 5/64 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/32 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* (sqrt -1) (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)))) (+ (/ (* (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (- (* -1/4 (* (sqrt (pow x 3)) (/ 1 (* (pow (sqrt -1) 3) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))) (* (sqrt x) (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* (sqrt -1) (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)))))) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (/ (* (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (- (* 1/8 (* (sqrt (pow x 5)) (/ 1 (* (pow (sqrt -1) 5) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))) (+ (* (sqrt x) (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* (sqrt -1) (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)))) (/ (* (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (- (* -1/4 (* (sqrt (pow x 3)) (/ 1 (* (pow (sqrt -1) 3) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))) (* (sqrt x) (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* (sqrt -1) (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)))))) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))))) (/ 1 (* (pow (sqrt -1) 2) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))))))) x))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))
(+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2))))
(+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (+ (* 1/2 (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 4))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2)))))
(+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (+ (* 1/2 (/ (+ (* 5/64 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/32 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 4))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2))))))
Outputs
(* 1/2 (sqrt (/ 1 (pow x 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (sqrt x))))) (pow x 2))
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(sqrt (/ 1 x))
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(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)
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(* 1/2 (sqrt (/ 1 (pow x 7))))
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(* (sqrt (/ 1 x)) (- 1 (sqrt x)))
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1
#s(literal 1 binary64)
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x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) #s(literal 1/8 binary64)) (fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)))) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 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(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64))))))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (*.f64 (/.f64 (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) #s(literal 1/8 binary64)) (fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)))) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) #s(literal -1/4 binary64)) (*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)))) (pow.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)))) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64))))) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64))))))) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)))))))) (neg.f64 x))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))
(*.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64))
(+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)))) (*.f64 x x)) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64))))))
(+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (+ (* 1/2 (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 4))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)))) (*.f64 x x))) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64))))))
(+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (+ (* 1/2 (/ (+ (* 5/64 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/32 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 4))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2))))))
(fma.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -5/128 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)))) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)))) (*.f64 x x))))))

rewrite246.0ms (3.1%)

Memory
-52.5MiB live, 160.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040231
071222
1266177
22003177
08727174
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 818
Calls
Call 1
Inputs
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x))
(fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #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))))
(/.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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))
(+.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 (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))))
(/.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 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(sqrt.f64 x)
(sinh.f64 (acosh.f64 x))
Outputs
(*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64) (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)))) (-.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))))
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(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 3 binary64)) (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64))))
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)) (/.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64))))
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/2 binary64))))
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 3 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -3/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -6 binary64)))
(exp.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.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)))
(*.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)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.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)))
(*.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 #s(literal 1 binary64) (sqrt.f64 x))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(neg.f64 (sqrt.f64 x))
(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 (/.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(pow.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (acosh.f64 x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 (acosh.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 (acosh.f64 x))))) #s(literal 4 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (acosh.f64 x)))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (acosh.f64 x))) #s(literal 2 binary64))
(sinh.f64 (acosh.f64 x))
(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(-.f64 (/.f64 (exp.f64 (acosh.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 (acosh.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal 1/2 binary64)))

eval223.0ms (2.8%)

Memory
31.5MiB live, 211.9MiB allocated
Compiler

Compiled 46 390 to 5 197 computations (88.8% saved)

prune43.0ms (0.5%)

Memory
-13.1MiB live, 93.3MiB allocated
Pruning

23 alts after pruning (19 fresh and 4 done)

PrunedKeptTotal
New1 402161 418
Fresh235
Picked235
Done011
Total1 406231 429
Accuracy
100.0%
Counts
1 429 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓36.8%
(/.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))
36.8%
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (cosh.f64 (asinh.f64 (sqrt.f64 x)))) (sqrt.f64 x))
▶99.5%
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (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))
99.1%
(/.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))
▶38.7%
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)))
6.0%
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (hypot.f64 (sqrt.f64 x) x)) (*.f64 (hypot.f64 (sqrt.f64 x) x) (sqrt.f64 x))) (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal 2 binary64)))
99.5%
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x))
99.2%
(/.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))
99.1%
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x x) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 x))
98.1%
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x))
✓36.7%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓36.8%
(*.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))))
▶83.3%
#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)))
84.2%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
52.0%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x)))
83.2%
#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)))
83.2%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
▶5.6%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
66.0%
#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)))
✓5.6%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
▶98.1%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -5/8 binary64)) (neg.f64 x))) (neg.f64 x))))
98.1%
#s(approx (* (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (sinh (acosh x))) (sqrt (- x 1))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (sqrt.f64 x))) (neg.f64 x)))
98.1%
#s(approx (* (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (sinh (acosh x))) (sqrt (- x 1))) (/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64))))))
Compiler

Compiled 1 255 to 831 computations (33.8% saved)

simplify104.0ms (1.3%)

Memory
2.2MiB live, 135.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)))
cost-diff4
(-.f64 (+.f64 x #s(literal 1 binary64)) x)
cost-diff1
(*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -5/8 binary64))
cost-diff1
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -5/8 binary64)) (neg.f64 x))
cost-diff1
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -5/8 binary64)) (neg.f64 x))) (neg.f64 x))
cost-diff4
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -5/8 binary64)) (neg.f64 x)))
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff0
(fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
cost-diff0
(/.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))
cost-diff0
#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)))
cost-diff0
(sqrt.f64 x)
cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
cost-diff0
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
cost-diff0
(/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (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)
cost-diff0
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (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))
cost-diff0
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (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))))
cost-diff0
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (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))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073592
0118588
1209575
2655550
33086547
08723543
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (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))
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (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))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (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))
(/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (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)
(fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
#s(literal -5/128 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal 5 binary64))
x
#s(literal 5 binary64)
(fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
#s(literal 1/16 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(literal -1/8 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(sqrt.f64 x)
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.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))
#s(literal 1 binary64)
(sqrt.f64 x)
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 (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))
(fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(literal -1/4 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(sqrt.f64 x)
(*.f64 x x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -5/8 binary64)) (neg.f64 x))) (neg.f64 x))))
#s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -5/8 binary64)) (neg.f64 x))) (neg.f64 x)))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -5/8 binary64)) (neg.f64 x))) (neg.f64 x))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -5/8 binary64)) (neg.f64 x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal -1/2 binary64)
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -5/8 binary64)) (neg.f64 x))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -5/8 binary64))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(literal -5/8 binary64)
(neg.f64 x)
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)))
(-.f64 (+.f64 x #s(literal 1 binary64)) x)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(sqrt.f64 x)
(hypot.f64 (sqrt.f64 x) x)
Outputs
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (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))
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))))) x)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (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))))
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))))) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (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))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))))) x))
(/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (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)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))))) x)
(fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))))
#s(literal -5/128 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal 5 binary64))
x
#s(literal 5 binary64)
(fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))))
#s(literal 1/16 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
#s(literal -1/8 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 x)
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
#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))
#s(literal 1 binary64)
(sqrt.f64 x)
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)))
#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 (sqrt.f64 x) #s(literal 1/2 binary64))) (*.f64 x 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 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) (*.f64 x x))
(fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
#s(literal -1/4 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 x)
(*.f64 x x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -5/8 binary64)) (neg.f64 x))) (neg.f64 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 5/8 binary64) x) #s(literal -1/2 binary64))) x)))
#s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -5/8 binary64)) (neg.f64 x))) (neg.f64 x)))
#s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 5/8 binary64) x) #s(literal -1/2 binary64))) x))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -5/8 binary64)) (neg.f64 x))) (neg.f64 x))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 5/8 binary64) x) #s(literal -1/2 binary64))) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -5/8 binary64)) (neg.f64 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 5/8 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal -1/2 binary64)
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -5/8 binary64)) (neg.f64 x))
(*.f64 (/.f64 #s(literal -5/8 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -5/8 binary64))
(*.f64 #s(literal 5/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(literal -5/8 binary64)
(neg.f64 x)
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(-.f64 (+.f64 x #s(literal 1 binary64)) x)
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
x
#s(literal 1 binary64)
(*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))
(*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(sqrt.f64 x)
(hypot.f64 (sqrt.f64 x) x)

localize294.0ms (3.7%)

Memory
20.0MiB live, 311.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.015625
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
accuracy0.16796875
(*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))
accuracy0.9401456488473294
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)))
accuracy59.295542510243905
(-.f64 (+.f64 x #s(literal 1 binary64)) x)
accuracy0.18359375
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -5/8 binary64)) (neg.f64 x))
accuracy0.265625
(*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -5/8 binary64))
accuracy0.31220321084636293
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -5/8 binary64)) (neg.f64 x))) (neg.f64 x))))
accuracy1.0406548712453692
#s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -5/8 binary64)) (neg.f64 x))) (neg.f64 x)))
accuracy0.01171875
(fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
accuracy0.125
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy0.9015272941496917
#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)))
accuracy9.830432910725104
(/.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))
accuracy0.0
(sqrt.f64 x)
accuracy0.25390625
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
accuracy60.40410513456701
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
accuracy0.33041000976844204
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (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))))
accuracy0.3425982955150694
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
accuracy12.643846526601028
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
accuracy20.43421733510085
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
Samples
186.0ms214×1valid
57.0ms35×2valid
3.0ms7×0valid
Compiler

Compiled 449 to 63 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 194.0ms
adjust: 49.0ms (25.2% of total)
ival-mult: 38.0ms (19.5% of total)
ival-div: 36.0ms (18.5% of total)
ival-add: 22.0ms (11.3% of total)
ival-sub: 17.0ms (8.7% of total)
ival-sqrt: 14.0ms (7.2% of total)
ival-hypot: 9.0ms (4.6% of total)
ival-pow: 5.0ms (2.6% of total)
ival-neg: 3.0ms (1.5% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series30.0ms (0.4%)

Memory
-12.5MiB live, 32.1MiB allocated
Counts
25 → 129
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (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))
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (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))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (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))
(/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (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)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 x)
#s(approx (/ (/ (- (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 (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))
(fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -5/8 binary64)) (neg.f64 x)))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -5/8 binary64)) (neg.f64 x))) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -5/8 binary64)) (neg.f64 x))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -5/8 binary64))
(-.f64 (+.f64 x #s(literal 1 binary64)) x)
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)))
(+.f64 x #s(literal 1 binary64))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -5/8 binary64)) (neg.f64 x))) (neg.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -5/8 binary64)) (neg.f64 x))) (neg.f64 x))))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Outputs
(* (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 (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 (* 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))
(* -5/128 (sqrt (/ 1 (pow x 7))))
(/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4))
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4))
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4))
(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)
(* -1/4 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -1/4 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(* -1/4 (sqrt (/ 1 x)))
(/ (+ (* -1/4 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)
(* -5/8 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -5/8 (sqrt x)) (* -1/2 (sqrt (pow x 3)))) (pow x 2))
(* 5/8 (sqrt (/ 1 (pow x 5))))
(/ (+ (* 1/2 (sqrt (pow x 3))) (* 5/8 (sqrt x))) (pow x 3))
(* 5/8 (sqrt (/ 1 x)))
1
(* (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 x)
(* (sqrt x) (+ 1 (sqrt x)))
(+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (+ 1 (sqrt x))))
(+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (sqrt x)))))))) (* (sqrt x) (+ 1 (sqrt x))))
(+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (+ (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (sqrt x)))) (* x (+ (* 1/16 (sqrt x)) (* 1/4 (sqrt (/ 1 x)))))))))) (* (sqrt x) (+ 1 (sqrt x))))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 5)))
(/ 1 (pow x 3))
(* 1/2 (sqrt (/ 1 (pow x 7))))
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (sqrt x))))) (pow x 4))
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))) (pow x 4))
(+ 1 (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))))
(/ (+ (* -1/4 (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))
(/ 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 (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)
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(* 1/2 (sqrt x))
(* x (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(* -1/2 (sqrt (/ 1 x)))
(+ (* -5/8 (sqrt (/ 1 (pow x 3)))) (* -1/2 (sqrt (/ 1 x))))
(/ (+ (* 1/2 (sqrt (/ 1 x))) (* 5/8 (sqrt (/ 1 (pow x 3))))) x)
x
(* x (+ 1 (/ 1 x)))
(* 2 (sqrt (pow x 3)))
(* (pow x 2) (+ (sqrt (/ 1 (pow x 3))) (* 2 (sqrt (/ 1 x)))))
(* (pow x 2) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))
(* (pow x 2) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (+ (* 1/8 (sqrt (/ 1 (pow x 7)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))))
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 5))))))) x)
(* 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)))))))
(/ (+ (* 1/4 (* (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))
(/ -1/2 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 (/ (+ (* -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 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(- (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)))
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(+ (* -5/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* -5/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -5/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* 5/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (+ (* -1 (pow (sqrt -1) 4)) (* 1/4 (pow (sqrt -1) 4))))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (+ (* 1/2 (* (pow (sqrt -1) 2) (+ (* -1 (pow (sqrt -1) 4)) (* 1/4 (pow (sqrt -1) 4))))) (pow (sqrt -1) 6)))) (* 1/16 (sqrt (pow x 3)))) x)) (+ (* -1/4 (* (sqrt x) (+ (* -1 (pow (sqrt -1) 4)) (* 1/4 (pow (sqrt -1) 4))))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (* 1/2 (sqrt x))) (pow x 2))
(* 2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* (pow x 2) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 4))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 6))) (* 1/2 (sqrt x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 8))) (* 1/4 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (+ (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 6))) (* 1/2 (sqrt x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -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
11.0ms
x
@-inf
((/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))))) x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (* x x)) (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (sqrt (/ 1 x)) (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (/ (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (neg x)) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x)) (* (neg (sqrt (/ 1 x))) -5/8) (- (+ x 1) x) (/ (- (+ x 1) x) (* (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (+ x 1) (* (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 (pow x 5))) (/ 1 (pow x 3)) (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (+ (sqrt (+ x 1)) (sqrt x)))
9.0ms
x
@inf
((/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))))) x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (* x x)) (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (sqrt (/ 1 x)) (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (/ (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (neg x)) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x)) (* (neg (sqrt (/ 1 x))) -5/8) (- (+ x 1) x) (/ (- (+ x 1) x) (* (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (+ x 1) (* (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 (pow x 5))) (/ 1 (pow x 3)) (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (+ (sqrt (+ x 1)) (sqrt x)))
8.0ms
x
@0
((/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))))) x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (* x x)) (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (sqrt (/ 1 x)) (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (/ (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (neg x)) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x)) (* (neg (sqrt (/ 1 x))) -5/8) (- (+ x 1) x) (/ (- (+ x 1) x) (* (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (+ x 1) (* (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 (pow x 5))) (/ 1 (pow x 3)) (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (+ (sqrt (+ x 1)) (sqrt x)))

simplify174.0ms (2.2%)

Memory
-2.5MiB live, 134.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06012960
120952479
089192311
Stop Event
1×iter limit
1×node limit
Counts
129 → 128
Calls
Call 1
Inputs
(* (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 (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 (* 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))
(* -5/128 (sqrt (/ 1 (pow x 7))))
(/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4))
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4))
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4))
(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)
(* -1/4 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -1/4 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(* -1/4 (sqrt (/ 1 x)))
(/ (+ (* -1/4 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)
(* -5/8 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -5/8 (sqrt x)) (* -1/2 (sqrt (pow x 3)))) (pow x 2))
(* 5/8 (sqrt (/ 1 (pow x 5))))
(/ (+ (* 1/2 (sqrt (pow x 3))) (* 5/8 (sqrt x))) (pow x 3))
(* 5/8 (sqrt (/ 1 x)))
1
(* (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 x)
(* (sqrt x) (+ 1 (sqrt x)))
(+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (+ 1 (sqrt x))))
(+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (sqrt x)))))))) (* (sqrt x) (+ 1 (sqrt x))))
(+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (+ (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (sqrt x)))) (* x (+ (* 1/16 (sqrt x)) (* 1/4 (sqrt (/ 1 x)))))))))) (* (sqrt x) (+ 1 (sqrt x))))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 5)))
(/ 1 (pow x 3))
(* 1/2 (sqrt (/ 1 (pow x 7))))
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (sqrt x))))) (pow x 4))
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))) (pow x 4))
(+ 1 (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))))
(/ (+ (* -1/4 (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))
(/ 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 (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)
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(* 1/2 (sqrt x))
(* x (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(* -1/2 (sqrt (/ 1 x)))
(+ (* -5/8 (sqrt (/ 1 (pow x 3)))) (* -1/2 (sqrt (/ 1 x))))
(/ (+ (* 1/2 (sqrt (/ 1 x))) (* 5/8 (sqrt (/ 1 (pow x 3))))) x)
x
(* x (+ 1 (/ 1 x)))
(* 2 (sqrt (pow x 3)))
(* (pow x 2) (+ (sqrt (/ 1 (pow x 3))) (* 2 (sqrt (/ 1 x)))))
(* (pow x 2) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))
(* (pow x 2) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (+ (* 1/8 (sqrt (/ 1 (pow x 7)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))))
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 5))))))) x)
(* 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)))))))
(/ (+ (* 1/4 (* (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))
(/ -1/2 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 (/ (+ (* -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 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(- (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)))
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(+ (* -5/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* -5/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -5/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* 5/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (+ (* -1 (pow (sqrt -1) 4)) (* 1/4 (pow (sqrt -1) 4))))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (+ (* 1/2 (* (pow (sqrt -1) 2) (+ (* -1 (pow (sqrt -1) 4)) (* 1/4 (pow (sqrt -1) 4))))) (pow (sqrt -1) 6)))) (* 1/16 (sqrt (pow x 3)))) x)) (+ (* -1/4 (* (sqrt x) (+ (* -1 (pow (sqrt -1) 4)) (* 1/4 (pow (sqrt -1) 4))))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (* 1/2 (sqrt x))) (pow x 2))
(* 2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* (pow x 2) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 4))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 6))) (* 1/2 (sqrt x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 8))) (* 1/4 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (+ (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 6))) (* 1/2 (sqrt x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -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)) (- 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)) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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)
(/ (+ (* 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 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x)))) x (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (sqrt x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
(- (+ 1 (* x (+ 1/2 (* -1/2 (- 1 (sqrt x)))))) (sqrt x))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x (-.f64 #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))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3/8 binary64)) x (fma.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) x (-.f64 #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))
(fma.f64 (fma.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 (*.f64 #s(literal 3/8 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3/8 binary64))) x (fma.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(- (+ 1 (* 1/2 x)) (sqrt x))
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
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(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 5/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (neg.f64 x))) (neg.f64 x))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))))
(* -1 (* 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/8 binary64) (fma.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))))
(* -1 (* 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/8 binary64) (fma.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))))))

rewrite175.0ms (2.2%)

Memory
22.3MiB live, 170.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073451
0118425
1439345
23550335
08293320
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 622
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (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))
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (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))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (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))
(/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (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)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 x)
#s(approx (/ (/ (- (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 (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))
(fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -5/8 binary64)) (neg.f64 x)))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -5/8 binary64)) (neg.f64 x))) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -5/8 binary64)) (neg.f64 x))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -5/8 binary64))
(-.f64 (+.f64 x #s(literal 1 binary64)) x)
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)))
(+.f64 x #s(literal 1 binary64))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -5/8 binary64)) (neg.f64 x))) (neg.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -5/8 binary64)) (neg.f64 x))) (neg.f64 x))))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Outputs
(/.f64 (/.f64 (neg.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)))
(/.f64 (neg.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x))) (neg.f64 (hypot.f64 (sqrt.f64 x) x)))
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x)) (hypot.f64 (sqrt.f64 x) x))
(neg.f64 (/.f64 (/.f64 (neg.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)))
(neg.f64 (/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 x))))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x)))) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (neg.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x))
(/.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -7/2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -7/2 binary64))) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)))
(/.f64 (fma.f64 #s(literal -125/2097152 binary64) (pow.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -7/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -7/2 binary64))) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))))) x)
(/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64)) x (*.f64 x (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 #s(literal 25/16384 binary64) (pow.f64 x #s(literal -5 binary64))) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) #s(literal 2 binary64))) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))
(/.f64 (fma.f64 (pow.f64 x #s(literal -15/2 binary64)) #s(literal -125/2097152 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal 25/16384 binary64) (pow.f64 x #s(literal -5 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64))))) x))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))) (neg.f64 x))
(/.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x)
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))) x))
(neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (neg.f64 x)))
(fma.f64 (/.f64 (pow.f64 x #s(literal -5/2 binary64)) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal -5/128 binary64) (neg.f64 (sqrt.f64 x))) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))
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(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -5/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal -3 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -6 binary64))
(pow.f64 (neg.f64 x) #s(literal -3 binary64))
(pow.f64 (*.f64 x x) #s(literal -3/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -6 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 6 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal -3 binary64))
(/.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (pow.f64 x #s(literal -2 binary64)) x)
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x x))
(/.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (pow.f64 x #s(literal -5/2 binary64)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))
(neg.f64 (pow.f64 x #s(literal -3 binary64)))
(-.f64 (cosh.f64 (*.f64 #s(literal -3 binary64) (log.f64 x))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))
(+.f64 (cosh.f64 (*.f64 #s(literal -3 binary64) (log.f64 x))) (sinh.f64 (*.f64 #s(literal -3 binary64) (log.f64 x))))
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)) (/.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64))))
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64))))
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/2 binary64))))
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 3 binary64)) (/.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64))))
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 3 binary64)) (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64))))
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 3 binary64)) (*.f64 (log.f64 x) #s(literal 3/2 binary64))))
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal -5 binary64) (log.f64 x)) #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 x))))
(exp.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 3 binary64))))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 3 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -6 binary64)))
(exp.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)))
#s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 (fma.f64 #s(literal -5/8 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (neg.f64 x)))
#s(approx (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) #s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 (fma.f64 #s(literal -5/8 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (neg.f64 x))))
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 (+.f64 #s(literal 1 binary64) x) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (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 x (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (neg.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x))))
(/.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (+.f64 x (-.f64 (+.f64 #s(literal 1 binary64) x) (hypot.f64 (sqrt.f64 x) x))))
(/.f64 (fma.f64 (sqrt.f64 x) x (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 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x)) (neg.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 (sqrt.f64 x)))) (sqrt.f64 (neg.f64 (neg.f64 (sqrt.f64 x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 (sqrt.f64 x)))) (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (sqrt.f64 (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))
(fma.f64 (pow.f64 (neg.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 (neg.f64 x) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(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 (neg.f64 (neg.f64 (sqrt.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) #s(literal 1/2 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 (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) (sqrt.f64 x))
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) (sqrt.f64 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 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 (neg.f64 (sqrt.f64 x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 #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)))
(-.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 (/.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)))

eval146.0ms (1.8%)

Memory
30.9MiB live, 294.0MiB allocated
Compiler

Compiled 37 950 to 4 597 computations (87.9% saved)

prune61.0ms (0.8%)

Memory
-24.3MiB live, 94.9MiB allocated
Pruning

23 alts after pruning (19 fresh and 4 done)

PrunedKeptTotal
New98613999
Fresh8614
Picked415
Done134
Total999231 022
Accuracy
100.0%
Counts
1 022 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.7%
(/.f64 (/.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)))
✓36.8%
(/.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))
▶99.5%
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 x) (*.f64 x x)) (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))
▶99.1%
(/.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))
34.9%
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (+.f64 (sqrt.f64 x) x)))
36.8%
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)))
▶99.2%
(/.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))
99.1%
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 x))
98.1%
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x))
98.4%
(/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)))
✓36.7%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
83.0%
#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) (*.f64 (sqrt.f64 (neg.f64 (neg.f64 (sqrt.f64 x)))) (sqrt.f64 (neg.f64 (neg.f64 (sqrt.f64 x))))))) (*.f64 x x)))
98.2%
#s(approx (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 x))) x) x))
98.2%
#s(approx (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/.f64 (/.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 x))) x) (sqrt.f64 x)) (sqrt.f64 x)))
83.2%
#s(approx (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/.f64 #s(approx (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
66.0%
#s(approx (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))
84.2%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
83.2%
#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)))
▶5.6%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
✓5.6%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
✓5.6%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
▶98.2%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) (neg.f64 x))))
98.1%
#s(approx (* (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (sinh (acosh x))) (sqrt (- x 1))) (/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64))))))
Compiler

Compiled 1 194 to 764 computations (36% saved)

simplify172.0ms (2.2%)

Memory
-16.5MiB live, 115.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.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)
cost-diff0
#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))
cost-diff0
(/.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))))
cost-diff0
(/.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))
cost-diff0
(-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x))
cost-diff0
(/.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)
cost-diff0
#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))
cost-diff0
(/.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))
cost-diff0
#s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
cost-diff0
(/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) (neg.f64 x))
cost-diff0
#s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) (neg.f64 x)))
cost-diff0
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) (neg.f64 x))))
cost-diff0
(sqrt.f64 x)
cost-diff0
(/.f64 (sqrt.f64 x) x)
cost-diff0
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
cost-diff0
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 x) (*.f64 x x)) (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))
cost-diff0
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 x) (*.f64 x x)) (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))))
cost-diff0
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 x) (*.f64 x x)) (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))
cost-diff2
(fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 x) (*.f64 x x)) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077691
0116691
1193677
2470653
31630647
46071647
08052637
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 x) (*.f64 x x)) (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))
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 x) (*.f64 x x)) (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))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 x) (*.f64 x x)) (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))
(/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 x) (*.f64 x x)) (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)
(fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 x) (*.f64 x x)) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
#s(literal -5/128 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal 5 binary64))
x
#s(literal 5 binary64)
(fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 x) (*.f64 x x)) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
#s(literal 1/16 binary64)
(/.f64 (sqrt.f64 x) (*.f64 x x))
(sqrt.f64 x)
(*.f64 x x)
(fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(literal -1/8 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 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)
x
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) (neg.f64 x))))
#s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) (neg.f64 x)))
(/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) (neg.f64 x))
#s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal -1/2 binary64)
(neg.f64 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))
#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 (-.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 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x))
(+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
#s(literal 1/4 binary64)
(*.f64 x x)
x
#s(literal 1/2 binary64)
(/.f64 #s(literal 3/8 binary64) x)
#s(literal 3/8 binary64)
(sqrt.f64 x)
(/.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))
(/.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))))
#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))
(/.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)
(fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(literal -1/8 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(sqrt.f64 x)
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
Outputs
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 x) (*.f64 x x)) (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))
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) (-.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) x) x) #s(literal -1/2 binary64))))) x)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 x) (*.f64 x x)) (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))))
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) (-.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) x) x) #s(literal -1/2 binary64))))) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 x) (*.f64 x x)) (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))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) (-.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) x) x) #s(literal -1/2 binary64))))) x))
(/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 x) (*.f64 x x)) (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)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) (-.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) x) x) #s(literal -1/2 binary64))))) x)
(fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 x) (*.f64 x x)) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) (-.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) x) x) #s(literal -1/2 binary64)))))
#s(literal -5/128 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal 5 binary64))
x
#s(literal 5 binary64)
(fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 x) (*.f64 x x)) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) (-.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) x) x) #s(literal -1/2 binary64))))
#s(literal 1/16 binary64)
(/.f64 (sqrt.f64 x) (*.f64 x x))
(/.f64 (/.f64 (sqrt.f64 x) x) x)
(sqrt.f64 x)
(*.f64 x x)
(fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(literal -1/8 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
(/.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
x
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) (neg.f64 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x))))
#s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) (neg.f64 x)))
#s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)))
(/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) (neg.f64 x))
(/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x))
#s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
#s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal -1/2 binary64)
(neg.f64 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 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 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))
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)))
(/.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 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) 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 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
#s(literal 1/4 binary64)
(*.f64 x x)
x
#s(literal 1/2 binary64)
(/.f64 #s(literal 3/8 binary64) x)
#s(literal 3/8 binary64)
(sqrt.f64 x)
(/.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))
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(/.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))))
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
#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))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) 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)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(literal -1/8 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(sqrt.f64 x)
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)

localize351.0ms (4.4%)

Memory
22.7MiB live, 267.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.244472509768442
(/.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))
accuracy0.28125
(/.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)
accuracy0.2820425511187508
#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))
accuracy0.33041000976844204
(/.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))))
accuracy0.0078125
(-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x))
accuracy0.12890625
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
accuracy0.244472509768442
(/.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))
accuracy0.2836454818984604
#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))
accuracy0.16796875
(/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) (neg.f64 x))
accuracy0.31220321084636293
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) (neg.f64 x))))
accuracy1.007832955404354
#s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
accuracy1.0406548712453692
#s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) (neg.f64 x)))
accuracy0.0
(sqrt.f64 x)
accuracy0.28515625
(/.f64 (sqrt.f64 x) x)
accuracy60.40410513456701
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
accuracy0.29296875
(/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 x) (*.f64 x x)) (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)
accuracy0.33041000976844204
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 x) (*.f64 x x)) (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))))
accuracy9.845576195861232
(/.f64 (sqrt.f64 x) (*.f64 x x))
accuracy12.643846526601028
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
Samples
204.0ms214×1valid
33.0ms35×2valid
3.0ms7×0valid
Compiler

Compiled 446 to 63 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 187.0ms
ival-mult: 55.0ms (29.4% of total)
ival-div: 44.0ms (23.5% of total)
adjust: 39.0ms (20.9% of total)
ival-add: 18.0ms (9.6% of total)
ival-sqrt: 14.0ms (7.5% of total)
ival-sub: 7.0ms (3.7% of total)
ival-pow: 5.0ms (2.7% of total)
ival-neg: 3.0ms (1.6% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
-23.0MiB live, 21.8MiB allocated
Counts
23 → 105
Calls
Call 1
Inputs
(fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 x) (*.f64 x x)) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 x) (*.f64 x x)) (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))
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 x) (*.f64 x x)) (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))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 x) (*.f64 x x)) (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))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
(/.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) (neg.f64 x))))
#s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) (neg.f64 x)))
(/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) (neg.f64 x))
#s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 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)) (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 (-.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 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x))
(/.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))
(/.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))))
#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))
(/.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 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(/.f64 (sqrt.f64 x) (*.f64 x x))
(/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 x) (*.f64 x x)) (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)
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
Outputs
(* 1/16 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 2))
(/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (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 (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 (* 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))
(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 7))))
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (sqrt x))))) (pow x 4))
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))) (pow x 4))
(* 5/8 (sqrt (/ 1 (pow x 5))))
(/ (+ (* 1/2 (sqrt (pow x 3))) (* 5/8 (sqrt x))) (pow x 3))
(* -5/8 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -5/8 (sqrt x)) (* -1/2 (sqrt (pow x 3)))) (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))
(/ 1/4 (pow x 2))
(/ (+ 1/4 (* -3/8 x)) (pow x 2))
(/ (+ 1/4 (* x (- (* 1/2 x) 3/8))) (pow x 2))
(* -1/8 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(sqrt (/ 1 (pow x 5)))
(sqrt (/ 1 (pow x 3)))
(* -5/128 (sqrt (/ 1 (pow x 7))))
(/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4))
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4))
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4))
(* 1/2 (sqrt x))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))
(* 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))
(/ 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 (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 (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)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 5))))))) x)
(/ (+ (* 1/2 (sqrt (/ 1 x))) (* 5/8 (sqrt (/ 1 (pow x 3))))) x)
(* -1/2 (sqrt (/ 1 x)))
(+ (* -5/8 (sqrt (/ 1 (pow x 3)))) (* -1/2 (sqrt (/ 1 x))))
(/ (- 1/2 (* 3/8 (/ 1 x))) x)
(/ (- (+ 1/2 (/ 1/4 (pow x 2))) (* 3/8 (/ 1 x))) x)
1/2
(- 1/2 (* 3/8 (/ 1 x)))
(- (+ 1/2 (/ 1/4 (pow x 2))) (* 3/8 (/ 1 x)))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(/ (+ (* 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))
(/ -1/2 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 (/ (+ (* -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))
(- (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)))
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* -5/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -5/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* -1 (/ (- (* 3/8 (/ 1 x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 3/8) x)) 1/2) x))
(+ 1/2 (* -1 (/ (- 3/8 (* 1/4 (/ 1 x))) x)))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
Calls

3 calls:

TimeVariablePointExpression
9.0ms
x
@-inf
((+ (* 1/16 (/ (sqrt x) (* x x))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x)))) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (- (sqrt (+ x 1)) (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (sqrt x) x) (sqrt x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/ (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (neg x)) (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/ (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) x) (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) (sqrt (/ 1 (pow x 5))) (/ (sqrt x) (* x x)) (/ (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (/ (sqrt x) (* x x))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))))) x) (/ 1/4 (* x x)))
4.0ms
x
@0
((+ (* 1/16 (/ (sqrt x) (* x x))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x)))) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (- (sqrt (+ x 1)) (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (sqrt x) x) (sqrt x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/ (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (neg x)) (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/ (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) x) (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) (sqrt (/ 1 (pow x 5))) (/ (sqrt x) (* x x)) (/ (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (/ (sqrt x) (* x x))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))))) x) (/ 1/4 (* x x)))
3.0ms
x
@inf
((+ (* 1/16 (/ (sqrt x) (* x x))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x)))) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (- (sqrt (+ x 1)) (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (sqrt x) x) (sqrt x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/ (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (neg x)) (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/ (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) x) (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) (sqrt (/ 1 (pow x 5))) (/ (sqrt x) (* x x)) (/ (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (/ (sqrt x) (* x x))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))))) x) (/ 1/4 (* x x)))

simplify145.0ms (1.8%)

Memory
21.2MiB live, 204.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04512075
115021727
265781720
082941610
Stop Event
1×iter limit
1×node limit
Counts
105 → 105
Calls
Call 1
Inputs
(* 1/16 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 2))
(/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (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 (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 (* 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))
(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 7))))
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (sqrt x))))) (pow x 4))
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))) (pow x 4))
(* 5/8 (sqrt (/ 1 (pow x 5))))
(/ (+ (* 1/2 (sqrt (pow x 3))) (* 5/8 (sqrt x))) (pow x 3))
(* -5/8 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -5/8 (sqrt x)) (* -1/2 (sqrt (pow x 3)))) (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))
(/ 1/4 (pow x 2))
(/ (+ 1/4 (* -3/8 x)) (pow x 2))
(/ (+ 1/4 (* x (- (* 1/2 x) 3/8))) (pow x 2))
(* -1/8 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(sqrt (/ 1 (pow x 5)))
(sqrt (/ 1 (pow x 3)))
(* -5/128 (sqrt (/ 1 (pow x 7))))
(/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4))
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4))
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4))
(* 1/2 (sqrt x))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))
(* 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))
(/ 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 (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 (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)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 5))))))) x)
(/ (+ (* 1/2 (sqrt (/ 1 x))) (* 5/8 (sqrt (/ 1 (pow x 3))))) x)
(* -1/2 (sqrt (/ 1 x)))
(+ (* -5/8 (sqrt (/ 1 (pow x 3)))) (* -1/2 (sqrt (/ 1 x))))
(/ (- 1/2 (* 3/8 (/ 1 x))) x)
(/ (- (+ 1/2 (/ 1/4 (pow x 2))) (* 3/8 (/ 1 x))) x)
1/2
(- 1/2 (* 3/8 (/ 1 x)))
(- (+ 1/2 (/ 1/4 (pow x 2))) (* 3/8 (/ 1 x)))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(/ (+ (* 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))
(/ -1/2 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 (/ (+ (* -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))
(- (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)))
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* -5/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -5/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* -1 (/ (- (* 3/8 (/ 1 x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 3/8) x)) 1/2) x))
(+ 1/2 (* -1 (/ (- 3/8 (* 1/4 (/ 1 x))) x)))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
Outputs
(* 1/16 (sqrt (/ 1 (pow x 3))))
(*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 2))
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (*.f64 x x))
(/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 2))
(/.f64 (fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (*.f64 x 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)
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(/ (+ (* -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) (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 x) (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 3/16 binary64) (sqrt.f64 x) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 5/32 binary64) (sqrt.f64 x))) (neg.f64 x)))) (neg.f64 x))) (neg.f64 x))) (*.f64 x 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))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal -3/8 binary64) x))) (neg.f64 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))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -3/8 binary64) #s(literal -1/4 binary64)) x) x)) (neg.f64 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))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64)) #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) x) x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (neg.f64 x))) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 3/8 binary64) x))) (neg.f64 x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) 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))) (neg.f64 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))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (neg.f64 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))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) #s(literal -5/128 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (neg.f64 x))
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.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)))))
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -5/8 binary64)) x)) x)
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (neg.f64 x))) x)
(* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(* -1 (/ (+ (* -5/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(/.f64 (fma.f64 #s(literal 5/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (neg.f64 x))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(+ (* -5/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 #s(literal 5/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(* -1 (/ (- (* 3/8 (/ 1 x)) 1/2) x))
(/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 3/8) x)) 1/2) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) (neg.f64 x))
(+ 1/2 (* -1 (/ (- 3/8 (* 1/4 (/ 1 x))) x)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1/4 binary64) x)) x))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1 binary64))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 #s(literal 5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x))) x))

rewrite244.0ms (3%)

Memory
25.9MiB live, 214.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077545
0116531
1424445
23155421
011140404
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 349
Calls
Call 1
Inputs
(fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 x) (*.f64 x x)) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 x) (*.f64 x x)) (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))
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 x) (*.f64 x x)) (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))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 x) (*.f64 x x)) (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))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
(/.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) (neg.f64 x))))
#s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) (neg.f64 x)))
(/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) (neg.f64 x))
#s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 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)) (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 (-.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 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x))
(/.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))
(/.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))))
#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))
(/.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 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(/.f64 (sqrt.f64 x) (*.f64 x x))
(/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 x) (*.f64 x x)) (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)
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
Outputs
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal -3 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 2 binary64)))) (pow.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) x)) (-.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal -3 binary64)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64))))
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(+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal -5 binary64) (log.f64 x)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal -5 binary64) (log.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (neg.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 5 binary64)) #s(literal 2 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 5/2 binary64))))
(exp.f64 (/.f64 (*.f64 #s(literal -5 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 5 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 5/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 5/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 5 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -5/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -5 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -3/4 binary64))) (neg.f64 (pow.f64 x #s(literal -3/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal -3/4 binary64))) (fabs.f64 (pow.f64 x #s(literal -3/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -3/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -3/2 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -3 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -3/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -3/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -3/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/4 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 x x) #s(literal -3/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -3 binary64))
(pow.f64 x #s(literal -3/2 binary64))
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 3 binary64)))
(/.f64 (/.f64 (sqrt.f64 x) (neg.f64 x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (*.f64 x x))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (neg.f64 x))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) x)
(/.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (sqrt.f64 x) (*.f64 x x))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x x)))
(neg.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))))
(sqrt.f64 (pow.f64 x #s(literal -3 binary64)))
(fabs.f64 (pow.f64 x #s(literal -3/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))))
(+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 3 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 3 binary64))))
(exp.f64 (-.f64 (log.f64 (sqrt.f64 x)) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (neg.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))))
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (neg.f64 (log.f64 x))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 x))))
(exp.f64 (/.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -3 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -3/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -7/2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -7/2 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)))
(/.f64 (fma.f64 #s(literal -125/2097152 binary64) (pow.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -7/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -7/2 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))))) x)
(/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64)) x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 #s(literal 25/16384 binary64) (pow.f64 x #s(literal -5 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x))
(/.f64 (fma.f64 (pow.f64 x #s(literal -15/2 binary64)) #s(literal -125/2097152 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal 25/16384 binary64) (pow.f64 x #s(literal -5 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64))))) x))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))) (neg.f64 x))
(/.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x)
(neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (neg.f64 x)))
(fma.f64 (pow.f64 x #s(literal -5/2 binary64)) (/.f64 #s(literal -5/128 binary64) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))
(fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -7/2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))
(+.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64))) x) (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x) (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -7/2 binary64))))
(+.f64 (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -7/2 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))
(/.f64 (fabs.f64 (/.f64 #s(literal 1/4 binary64) (neg.f64 x))) x)
(/.f64 (fabs.f64 (neg.f64 (/.f64 #s(literal 1/4 binary64) x))) x)
(/.f64 (fabs.f64 (/.f64 #s(literal 1/4 binary64) x)) x)
(/.f64 (/.f64 #s(literal 1/4 binary64) (neg.f64 x)) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 #s(literal 1/4 binary64) x)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1/4 binary64) x) x)
(/.f64 #s(literal -1/4 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(neg.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(sqrt.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(fabs.f64 (neg.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(fabs.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))

eval117.0ms (1.5%)

Memory
-27.8MiB live, 116.7MiB allocated
Compiler

Compiled 23 413 to 3 104 computations (86.7% saved)

prune32.0ms (0.4%)

Memory
16.8MiB live, 63.5MiB allocated
Pruning

27 alts after pruning (21 fresh and 6 done)

PrunedKeptTotal
New55812570
Fresh5914
Picked325
Done044
Total56627593
Accuracy
100.0%
Counts
593 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓36.8%
(/.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))
99.1%
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
99.5%
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (neg.f64 x) x)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 x) (*.f64 x x)) (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))
34.9%
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (+.f64 (sqrt.f64 x) x)))
36.8%
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)))
99.5%
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) x)) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) 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)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
84.1%
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) (*.f64 x (/.f64 #s(literal 3/8 binary64) x))) (*.f64 x x))) (sqrt.f64 x))
99.2%
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x) #s(literal 1/2 binary64)) x)) (sqrt.f64 x))
52.7%
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (/.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3/8 binary64)) x #s(literal 1/4 binary64)) x) x)) x)) (sqrt.f64 x))
99.1%
(/.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))
98.1%
(/.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))
99.2%
(/.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)) x) (/.f64 (/.f64 #s(literal 3/8 binary64) x) x))) (sqrt.f64 x))
98.4%
(/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)))
✓36.7%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
98.2%
#s(approx (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 x))) x) x))
98.2%
#s(approx (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/.f64 (/.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 x))) x) (sqrt.f64 x)) (sqrt.f64 x)))
83.2%
#s(approx (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/.f64 #s(approx (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
84.2%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
83.2%
#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)))
✓5.6%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
✓5.6%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
35.7%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x))))
✓5.6%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
98.1%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 (neg.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) x)))
✓98.2%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) (neg.f64 x))))
98.1%
#s(approx (* (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (sinh (acosh x))) (sqrt (- x 1))) (/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64))))))
Compiler

Compiled 2 427 to 877 computations (63.9% saved)

regimes27.0ms (0.3%)

Memory
-5.4MiB live, 38.8MiB allocated
Counts
52 → 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 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (+.f64 (sqrt.f64 x) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/.f64 #s(approx (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt 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 #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)))) #s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 (neg.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) (neg.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 #s(literal 1/2 binary64) (/.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)))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)) #s(literal -1/2 binary64)))
#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 (/ (/ (- (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)))
#s(approx (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 x))) x) x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x) #s(literal 1/2 binary64)) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x x) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 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 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (/.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3/8 binary64)) x #s(literal 1/4 binary64)) x) x)) x)) (sqrt.f64 x))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)))
(/.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 #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)) x) (/.f64 (/.f64 #s(literal 3/8 binary64) x) x))) (sqrt.f64 x))
#s(approx (* (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (sinh (acosh x))) (sqrt (- x 1))) (/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64))))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) (*.f64 x (/.f64 #s(literal 3/8 binary64) x))) (*.f64 x x))) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -5/8 binary64)) (neg.f64 x))) (neg.f64 x))))
#s(approx (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/.f64 (/.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 x))) x) (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) x)) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x))
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
(/.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))
(/.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 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (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) (*.f64 (sqrt.f64 (neg.f64 (neg.f64 (sqrt.f64 x)))) (sqrt.f64 (neg.f64 (neg.f64 (sqrt.f64 x))))))) (*.f64 x x)))
#s(approx (* (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (sinh (acosh x))) (sqrt (- x 1))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (sqrt.f64 x))) (neg.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))
(/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)))
(/.f64 (/.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)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (neg.f64 x) x)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 x) (*.f64 x x)) (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))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x)))
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 x) (*.f64 x x)) (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))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (cosh.f64 (asinh.f64 (sqrt.f64 x)))) (sqrt.f64 x))
(*.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))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x)))
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (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))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (hypot.f64 (sqrt.f64 x) x)) (*.f64 (hypot.f64 (sqrt.f64 x) x) (sqrt.f64 x))) (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))))
Outputs
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (neg.f64 x) x)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 x) (*.f64 x x)) (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))
Calls

2 calls:

15.0ms
x
9.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
99.5%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
99.5%1x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes21.0ms (0.3%)

Memory
-7.6MiB live, 38.5MiB allocated
Counts
42 → 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 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (+.f64 (sqrt.f64 x) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/.f64 #s(approx (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt 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 #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)))) #s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 (neg.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) (neg.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 #s(literal 1/2 binary64) (/.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)))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)) #s(literal -1/2 binary64)))
#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 (/ (/ (- (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)))
#s(approx (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 x))) x) x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x) #s(literal 1/2 binary64)) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x x) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 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 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (/.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3/8 binary64)) x #s(literal 1/4 binary64)) x) x)) x)) (sqrt.f64 x))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)))
(/.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 #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)) x) (/.f64 (/.f64 #s(literal 3/8 binary64) x) x))) (sqrt.f64 x))
#s(approx (* (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (sinh (acosh x))) (sqrt (- x 1))) (/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64))))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) (*.f64 x (/.f64 #s(literal 3/8 binary64) x))) (*.f64 x x))) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -5/8 binary64)) (neg.f64 x))) (neg.f64 x))))
#s(approx (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/.f64 (/.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 x))) x) (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) x)) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x))
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
(/.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))
(/.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 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (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) (*.f64 (sqrt.f64 (neg.f64 (neg.f64 (sqrt.f64 x)))) (sqrt.f64 (neg.f64 (neg.f64 (sqrt.f64 x))))))) (*.f64 x x)))
#s(approx (* (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (sinh (acosh x))) (sqrt (- x 1))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (sqrt.f64 x))) (neg.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))
(/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)))
(/.f64 (/.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)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
Outputs
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) x)) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x))
Calls

2 calls:

12.0ms
x
7.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
99.5%1x
99.5%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Compiler

Compiled 12 to 9 computations (25% saved)

regimes14.0ms (0.2%)

Memory
23.9MiB live, 23.9MiB allocated
Counts
29 → 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 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (+.f64 (sqrt.f64 x) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/.f64 #s(approx (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt 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 #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)))) #s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 (neg.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) (neg.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 #s(literal 1/2 binary64) (/.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)))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)) #s(literal -1/2 binary64)))
#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 (/ (/ (- (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)))
#s(approx (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 x))) x) x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x) #s(literal 1/2 binary64)) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x x) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 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 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (/.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3/8 binary64)) x #s(literal 1/4 binary64)) x) x)) x)) (sqrt.f64 x))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)))
(/.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 #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)) x) (/.f64 (/.f64 #s(literal 3/8 binary64) x) x))) (sqrt.f64 x))
#s(approx (* (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (sinh (acosh x))) (sqrt (- x 1))) (/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64))))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) (*.f64 x (/.f64 #s(literal 3/8 binary64) x))) (*.f64 x x))) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -5/8 binary64)) (neg.f64 x))) (neg.f64 x))))
#s(approx (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/.f64 (/.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 x))) x) (sqrt.f64 x)) (sqrt.f64 x)))
Outputs
(/.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)) x) (/.f64 (/.f64 #s(literal 3/8 binary64) x) x))) (sqrt.f64 x))
Calls

2 calls:

7.0ms
x
5.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
99.2%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
99.2%1x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes16.0ms (0.2%)

Memory
-34.2MiB live, 17.8MiB allocated
Counts
24 → 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 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (+.f64 (sqrt.f64 x) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/.f64 #s(approx (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt 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 #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)))) #s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 (neg.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) (neg.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 #s(literal 1/2 binary64) (/.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)))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)) #s(literal -1/2 binary64)))
#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 (/ (/ (- (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)))
#s(approx (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 x))) x) x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x) #s(literal 1/2 binary64)) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x x) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 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 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (/.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3/8 binary64)) x #s(literal 1/4 binary64)) x) x)) x)) (sqrt.f64 x))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)))
(/.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))
Outputs
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x) #s(literal 1/2 binary64)) x)) (sqrt.f64 x))
Calls

2 calls:

10.0ms
x
5.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
99.2%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
99.2%1x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.1%)

Memory
15.1MiB live, 15.1MiB 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 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (+.f64 (sqrt.f64 x) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/.f64 #s(approx (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt 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 #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)))) #s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 (neg.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) (neg.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 #s(literal 1/2 binary64) (/.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)))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)) #s(literal -1/2 binary64)))
#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 (/ (/ (- (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)))
#s(approx (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (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:

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
99.1%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
99.1%1x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.1%)

Memory
22.0MiB live, 22.0MiB allocated
Counts
11 → 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 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (+.f64 (sqrt.f64 x) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/.f64 #s(approx (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt 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 #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)))) #s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 (neg.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) (neg.f64 x))))
Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) (neg.f64 x))))
Calls

2 calls:

3.0ms
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
98.2%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
98.2%1x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.1%)

Memory
-35.6MiB live, 11.3MiB allocated
Counts
10 → 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 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (+.f64 (sqrt.f64 x) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/.f64 #s(approx (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt 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 #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)))) #s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 (neg.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (/.f64 #s(literal -1/2 binary64) (sqrt.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:

5.0ms
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
98.1%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
98.1%1x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Memory
7.0MiB live, 7.0MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x))))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (+.f64 (sqrt.f64 x) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/.f64 #s(approx (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.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
83.2%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
83.2%1x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Memory
5.3MiB live, 5.3MiB allocated
Counts
5 → 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 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (+.f64 (sqrt.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
1.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
35.7%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
35.7%1x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

Memory
4.5MiB live, 4.5MiB 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:

1.0ms
x
1.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
5.6%1x
5.6%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)

simplify54.0ms (0.7%)

Memory
3.1MiB live, 49.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0109344
1169328
2374323
31142322
44188322
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (neg.f64 x) x)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 x) (*.f64 x x)) (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))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) x)) (*.f64 x x)) #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 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) (/.f64 (/.f64 #s(literal 3/8 binary64) x) x))) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x) #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 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) (neg.f64 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)))) (/.f64 #s(approx (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
Outputs
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (neg.f64 x) x)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 x) (*.f64 x x)) (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))
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (neg.f64 x) x)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 x) (*.f64 x x)) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) x)) (*.f64 x x)) #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 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) (/.f64 (/.f64 #s(literal 3/8 binary64) x) x))) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x) #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 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) (neg.f64 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/2) (/ (* (neg (sqrt (/ 1 x))) -5/8) (neg x))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))) (neg.f64 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)))) (/.f64 #s(approx (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (pow.f64 x #s(literal -1 binary64))))

soundness1.4s (17.3%)

Memory
37.9MiB live, 923.0MiB allocated
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0114457
1333395
21237369
36312369
08119348
077545
0116531
1424445
23155421
011140404
040231
071222
1266177
22003177
08727174
08357488
128665707
089475487
04512075
115021727
265781720
082941610
0823
01423
15919
241619
3567917
0879117
06012960
120952479
089192311
073451
0118425
1439345
23550335
08293320
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node 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
Compiler

Compiled 799 to 405 computations (49.3% saved)

preprocess60.0ms (0.8%)

Memory
16.4MiB live, 106.2MiB allocated
Compiler

Compiled 728 to 258 computations (64.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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