2sqrt (example 3.1)

Time bar (total: 6.6s)

start0.0ms (0%)

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

analyze31.0ms (0.5%)

Memory
-42.1MiB live, 2.4MiB allocated; 13ms collecting garbage
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 15 to 11 computations (26.7% saved)

sample1.7s (26.5%)

Memory
79.0MiB live, 1 627.9MiB allocated; 370ms collecting garbage
Samples
1.3s8 114×1valid
9.0ms142×0valid
Precisions
Click to see histograms. Total time spent on operations: 993.0ms
ival-sqrt: 262.0ms (26.4% of total)
adjust: 252.0ms (25.4% of total)
const: 201.0ms (20.2% of total)
ival-sub: 114.0ms (11.5% of total)
ival-add: 104.0ms (10.5% of total)
ival->: 21.0ms (2.1% of total)
ival-<: 18.0ms (1.8% of total)
ival-and: 12.0ms (1.2% of total)
exact: 6.0ms (0.6% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain118.0ms (1.8%)

Memory
-29.5MiB live, 200.3MiB allocated; 34ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2550-0-(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(sqrt.f64 x)
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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))cancellation2550
Confusion
Predicted +Predicted -
+2550
-01
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25500
-001
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
01
1255
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
63.0ms504×1valid
0.0ms8×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-sqrt: 19.0ms (40.8% of total)
adjust: 12.0ms (25.8% of total)
ival-add: 10.0ms (21.5% of total)
ival-sub: 4.0ms (8.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess12.0ms (0.2%)

Memory
33.8MiB live, 33.8MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
11119
067
0107
1137
0137
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Outputs
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶7.3%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify20.0ms (0.3%)

Memory
-17.7MiB live, 21.5MiB allocated; 19ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(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))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
01018
11318
01318
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.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)
Outputs
(-.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))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
x
#s(literal 1 binary64)
(sqrt.f64 x)

localize46.0ms (0.7%)

Memory
15.7MiB live, 60.1MiB allocated; 19ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 x #s(literal 1 binary64))
accuracy0.0
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
accuracy0.0
(sqrt.f64 x)
accuracy59.314293029292166
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Samples
38.0ms252×1valid
0.0ms4×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-sqrt: 7.0ms (37.5% of total)
adjust: 6.0ms (32.1% of total)
ival-add: 3.0ms (16.1% of total)
ival-sub: 2.0ms (10.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
4.9MiB live, 4.9MiB allocated; 0ms collecting garbage
Counts
4 → 27
Calls
Call 1
Inputs
(-.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))
(sqrt.f64 x)
Outputs
(- 1 (sqrt x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(+ 1 x)
(sqrt 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)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
x
(* x (+ 1 (/ 1 x)))
(* -1/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
Calls

3 calls:

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

simplify278.0ms (4.2%)

Memory
-6.8MiB live, 235.5MiB allocated; 64ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113451
1331393
21209387
34903387
08229353
Stop Event
1×iter limit
1×node limit
Counts
27 → 26
Calls
Call 1
Inputs
(- 1 (sqrt x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(+ 1 x)
(sqrt 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)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
x
(* x (+ 1 (/ 1 x)))
(* -1/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
Outputs
(- 1 (sqrt 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)))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (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 (+ 1/2 (* -1/8 x))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(sqrt x)
(sqrt.f64 x)
(* 1/2 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt 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)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (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)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt 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) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (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)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* -1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt 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)
(* -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 #s(literal -1/16 binary64) (/.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))) (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)
(* -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 #s(literal 5/128 binary64) (/.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))) (fma.f64 #s(literal -1/16 binary64) (/.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))) (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)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(*.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)

rewrite121.0ms (1.8%)

Memory
10.9MiB live, 139.5MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
01016
14216
227116
3293216
0909916
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 281
Calls
Call 1
Inputs
(-.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))
(sqrt.f64 x)
Outputs
(*.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (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 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (pow.f64 (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)) #s(literal 2 binary64))) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)))
(*.f64 (/.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (+.f64 (pow.f64 (-.f64 (hypot.f64 (sqrt.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (fma.f64 (-.f64 (hypot.f64 (sqrt.f64 x) x) x) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)) (fma.f64 x x #s(literal 1 binary64))))
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(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64))))) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x))
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(/.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (sinh.f64 (acosh.f64 x)) (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64))))) (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x)))
(/.f64 (*.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sinh.f64 (acosh.f64 x))) (*.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (hypot.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (sinh.f64 (acosh.f64 (*.f64 x x))) (sinh.f64 (acosh.f64 x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(neg.f64 (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(sin.f64 (acos.f64 x))
(cosh.f64 (asinh.f64 x))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(fabs.f64 (-.f64 #s(literal 1 binary64) x))
(cos.f64 (asin.f64 x))
(hypot.f64 (fabs.f64 (hypot.f64 (sqrt.f64 x) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(hypot.f64 (hypot.f64 (sqrt.f64 x) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (fabs.f64 (hypot.f64 (sqrt.f64 x) x)))
(hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (hypot.f64 (sqrt.f64 x) x))
(+.f64 (cosh.f64 (log1p.f64 x)) (sinh.f64 (log1p.f64 x)))
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(exp.f64 (log1p.f64 x))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3/4 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (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)) (neg.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 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.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 (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 #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 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 x)))

eval56.0ms (0.9%)

Memory
5.0MiB live, 62.3MiB allocated; 39ms collecting garbage
Compiler

Compiled 5 730 to 1 085 computations (81.1% saved)

prune13.0ms (0.2%)

Memory
-17.4MiB live, 29.6MiB allocated; 5ms collecting garbage
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New2979306
Fresh000
Picked011
Done000
Total29710307
Accuracy
99.8%
Counts
307 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶5.1%
(-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 x))
▶7.3%
(-.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x))
✓7.3%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
4.4%
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
▶3.9%
(-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x))
▶1.6%
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
▶99.2%
#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) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (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))
99.1%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (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))
98.8%
#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))
97.4%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
Compiler

Compiled 333 to 252 computations (24.3% saved)

simplify110.0ms (1.7%)

Memory
29.0MiB live, 169.6MiB allocated; 19ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 x))
cost-diff2
(sqrt.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
cost-diff2
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff3
(-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 x)
cost-diff0
(sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
cost-diff0
(-.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x))
cost-diff3
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
cost-diff0
(sqrt.f64 x)
cost-diff0
#s(approx (sqrt (+ x 1)) (sqrt.f64 x))
cost-diff0
(-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x))
cost-diff0
(sqrt.f64 x)
cost-diff0
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
cost-diff0
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
cost-diff0
(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) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
cost-diff0
(/.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) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (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)
cost-diff0
#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) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (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))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045339
078320
1121306
2333306
31286306
44484306
08275302
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#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) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (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 (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) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (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 (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) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(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)
#s(literal -5/128 binary64)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.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)))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1/16 binary64)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal -1/8 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(sqrt.f64 x)
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 x)
x
(-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (sqrt.f64 x))
(sqrt.f64 x)
x
(-.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
x
#s(literal 1 binary64)
(-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 x))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64)))
(*.f64 x x)
x
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 x)
Outputs
#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) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (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))
#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 -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.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) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (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 -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) 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) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 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 -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(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)
#s(literal -5/128 binary64)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.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)))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1/16 binary64)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 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)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal -1/8 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(sqrt.f64 x)
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 x)
x
(-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (sqrt.f64 x))
(sqrt.f64 x)
x
(-.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(sqrt.f64 x)
x
#s(literal 1 binary64)
(-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 x))
(-.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (fabs.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (fabs.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) x)
(*.f64 x x)
x
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 x #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(fabs.f64 (-.f64 #s(literal 1 binary64) x))
(pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 x)

localize243.0ms (3.7%)

Memory
-14.8MiB live, 216.5MiB allocated; 26ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy20.782185268318422
(sqrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
accuracy22.60984790448611
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))
accuracy32.15238880979827
(sqrt.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
accuracy59.314293029292166
(-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 x))
accuracy0.0
(sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
accuracy0.0
(sqrt.f64 x)
accuracy0.48828125
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
accuracy59.314293029292166
(-.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x))
accuracy0.0
(sqrt.f64 x)
accuracy1.5834468009326241
#s(approx (sqrt (+ x 1)) (sqrt.f64 x))
accuracy59.314293029292166
(-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x))
accuracy0.0
(sqrt.f64 x)
accuracy59.314293029292166
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
accuracy59.61849083571259
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
accuracy0.26171875
(/.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) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (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)
accuracy0.4294695494005969
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
accuracy10.056936044933426
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
accuracy21.522285896935454
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
Samples
174.0ms253×1valid
1.0ms3×0valid
Compiler

Compiled 314 to 45 computations (85.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 142.0ms
adjust: 34.0ms (24% of total)
ival-sqrt: 27.0ms (19.1% of total)
ival-hypot: 20.0ms (14.1% of total)
ival-mult: 18.0ms (12.7% of total)
ival-div: 11.0ms (7.8% of total)
ival-add: 11.0ms (7.8% of total)
ival-sub: 10.0ms (7.1% of total)
ival-pow: 5.0ms (3.5% of total)
ival-pow2: 4.0ms (2.8% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory
15.8MiB live, 15.8MiB allocated; 0ms collecting garbage
Counts
20 → 105
Calls
Call 1
Inputs
#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) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (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 (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) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (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 (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) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
(sqrt.f64 x)
(-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (sqrt.f64 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(-.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
(-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (sqrt.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 5 binary64)))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
Outputs
(- 1 (sqrt x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(* -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))
(* -5/128 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3))
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 3))
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3))
(sqrt (/ 1 (pow x 5)))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(sqrt x)
(+ 1 x)
(+ 1 (* -1 x))
(+ 1 (* x (- (* -1 x) 1)))
(+ 1 (* x (- (* x (- x 1)) 1)))
-1
(- x 1)
(* -1 (+ 1 (sqrt x)))
(- (* -1/2 x) (+ 1 (sqrt x)))
(- (* x (- (* 1/8 x) 1/2)) (+ 1 (sqrt x)))
(- (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2)) (+ 1 (sqrt x)))
(sqrt (/ 1 (pow x 3)))
(/ 1 (pow x 5))
(- (* -1/2 x) 1)
(- (* x (- (* 1/8 x) 1/2)) 1)
(- (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2)) 1)
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* -5/8 x) 1/2)))
(+ 1 (* x (- (* x (- (* 3/16 x) 5/8)) 1/2)))
(* 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 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))))))
(* 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)))))))
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
x
(* x (+ 1 (/ 1 x)))
(pow x 3)
(* (pow x 3) (- 1 (/ 1 x)))
(* (pow x 3) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))))
(* (pow x 3) (- (+ 1 (/ 1 (pow x 3))) (+ (/ 1 x) (/ 1 (pow x 2)))))
(* x (- 1 (/ 1 x)))
(sqrt (/ 1 x))
(+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (* -1/2 (sqrt (/ 1 x)))))
(+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (+ (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* -1/2 (sqrt (/ 1 x)))))))
(+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (+ (sqrt (/ 1 (pow x 5))) (+ (sqrt (/ 1 (pow x 7))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (+ (* -1 (sqrt (/ 1 (pow x 5)))) (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (* (sqrt (/ 1 (pow x 5))) (- 1 (* 1/4 x)))))))))))
(* x (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))))
(* x (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (+ (sqrt (/ 1 (pow x 5))) (* -1/2 (sqrt (/ 1 (pow x 3))))))))
(* x (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (+ (sqrt (/ 1 (pow x 5))) (+ (sqrt (/ 1 (pow x 7))) (+ (* -1 (sqrt (/ 1 (pow x 5)))) (* -1/2 (sqrt (/ 1 (pow x 3))))))))))
(sqrt (pow x 3))
(* (pow x 2) (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))
(* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/2 (sqrt (/ 1 (pow x 5)))))))
(* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (* (sqrt (/ 1 (pow x 7))) (- 1 (* 1/4 x))))))))
(* -1/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(* -1/2 (* (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))))
(* -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 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (- (pow (sqrt -1) 2) (/ 1 x))))
(* -1 (* (pow x 3) (- (/ 1 x) 1)))
(* -1 (* (pow x 3) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1 (/ 1 x)) x)) 1) x)) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1/2 (sqrt x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)))
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (/ (+ (sqrt x) (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (+ (* -1/2 (sqrt x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (/ (+ (sqrt x) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (sqrt x)) (+ (* 1/2 (* (sqrt x) (- 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))) x)) (+ (* -1/2 (sqrt x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1/2 (sqrt x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (/ (+ (sqrt x) (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (+ (* -1/2 (sqrt x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* (pow x 2) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* (pow x 2) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* (pow x 2) (+ (* -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)))))
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (sqrt (/ 1 (pow x 5))) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* (sqrt x) (sqrt x)) 1) (- (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (- (* (* x x) (- x 1)) (* (- x 1) 1)) (* (- x 1) 1) (sqrt (pow (- x 1) 2)) (- (/ (sqrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (sqrt (pow (- x 1) 2))) (sqrt x)) (sqrt (/ 1 (pow x 3))) (/ 1 (pow x 5)) (/ (sqrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (sqrt (pow (- x 1) 2))) (sqrt (- (* (* x x) (- x 1)) (* (- x 1) 1))))
4.0ms
x
@inf
((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (sqrt (/ 1 (pow x 5))) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* (sqrt x) (sqrt x)) 1) (- (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (- (* (* x x) (- x 1)) (* (- x 1) 1)) (* (- x 1) 1) (sqrt (pow (- x 1) 2)) (- (/ (sqrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (sqrt (pow (- x 1) 2))) (sqrt x)) (sqrt (/ 1 (pow x 3))) (/ 1 (pow x 5)) (/ (sqrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (sqrt (pow (- x 1) 2))) (sqrt (- (* (* x x) (- x 1)) (* (- x 1) 1))))
3.0ms
x
@0
((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (sqrt (/ 1 (pow x 5))) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* (sqrt x) (sqrt x)) 1) (- (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (- (* (* x x) (- x 1)) (* (- x 1) 1)) (* (- x 1) 1) (sqrt (pow (- x 1) 2)) (- (/ (sqrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (sqrt (pow (- x 1) 2))) (sqrt x)) (sqrt (/ 1 (pow x 3))) (/ 1 (pow x 5)) (/ (sqrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (sqrt (pow (- x 1) 2))) (sqrt (- (* (* x x) (- x 1)) (* (- x 1) 1))))

simplify188.0ms (2.9%)

Memory
-5.2MiB live, 132.8MiB allocated; 25ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03741975
112151677
252341675
082861581
Stop Event
1×iter limit
1×node limit
Counts
105 → 104
Calls
Call 1
Inputs
(- 1 (sqrt x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(* -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))
(* -5/128 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3))
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 3))
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3))
(sqrt (/ 1 (pow x 5)))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(sqrt x)
(+ 1 x)
(+ 1 (* -1 x))
(+ 1 (* x (- (* -1 x) 1)))
(+ 1 (* x (- (* x (- x 1)) 1)))
-1
(- x 1)
(* -1 (+ 1 (sqrt x)))
(- (* -1/2 x) (+ 1 (sqrt x)))
(- (* x (- (* 1/8 x) 1/2)) (+ 1 (sqrt x)))
(- (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2)) (+ 1 (sqrt x)))
(sqrt (/ 1 (pow x 3)))
(/ 1 (pow x 5))
(- (* -1/2 x) 1)
(- (* x (- (* 1/8 x) 1/2)) 1)
(- (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2)) 1)
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* -5/8 x) 1/2)))
(+ 1 (* x (- (* x (- (* 3/16 x) 5/8)) 1/2)))
(* 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 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))))))
(* 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)))))))
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
x
(* x (+ 1 (/ 1 x)))
(pow x 3)
(* (pow x 3) (- 1 (/ 1 x)))
(* (pow x 3) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))))
(* (pow x 3) (- (+ 1 (/ 1 (pow x 3))) (+ (/ 1 x) (/ 1 (pow x 2)))))
(* x (- 1 (/ 1 x)))
(sqrt (/ 1 x))
(+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (* -1/2 (sqrt (/ 1 x)))))
(+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (+ (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* -1/2 (sqrt (/ 1 x)))))))
(+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (+ (sqrt (/ 1 (pow x 5))) (+ (sqrt (/ 1 (pow x 7))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (+ (* -1 (sqrt (/ 1 (pow x 5)))) (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (* (sqrt (/ 1 (pow x 5))) (- 1 (* 1/4 x)))))))))))
(* x (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))))
(* x (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (+ (sqrt (/ 1 (pow x 5))) (* -1/2 (sqrt (/ 1 (pow x 3))))))))
(* x (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (+ (sqrt (/ 1 (pow x 5))) (+ (sqrt (/ 1 (pow x 7))) (+ (* -1 (sqrt (/ 1 (pow x 5)))) (* -1/2 (sqrt (/ 1 (pow x 3))))))))))
(sqrt (pow x 3))
(* (pow x 2) (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))
(* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/2 (sqrt (/ 1 (pow x 5)))))))
(* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (* (sqrt (/ 1 (pow x 7))) (- 1 (* 1/4 x))))))))
(* -1/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(* -1/2 (* (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))))
(* -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 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (- (pow (sqrt -1) 2) (/ 1 x))))
(* -1 (* (pow x 3) (- (/ 1 x) 1)))
(* -1 (* (pow x 3) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1 (/ 1 x)) x)) 1) x)) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1/2 (sqrt x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)))
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (/ (+ (sqrt x) (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (+ (* -1/2 (sqrt x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (/ (+ (sqrt x) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (sqrt x)) (+ (* 1/2 (* (sqrt x) (- 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))) x)) (+ (* -1/2 (sqrt x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1/2 (sqrt x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (/ (+ (sqrt x) (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (+ (* -1/2 (sqrt x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* (pow x 2) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* (pow x 2) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* (pow x 2) (+ (* -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)))))
Outputs
(- 1 (sqrt 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)))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(* -5/128 (sqrt (/ 1 (pow x 7))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal -5/128 binary64))
(/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4))
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4))
(/.f64 (fma.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))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4))
(/.f64 (fma.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))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(* -5/128 (sqrt (/ 1 (pow x 5))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64))
(/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3))
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 3))
(/.f64 (fma.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))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3))
(/.f64 (fma.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))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(sqrt (/ 1 (pow x 5)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
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(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(*.f64 (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 (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 (* x (pow (sqrt -1) 2)))
x
(* -1 (* x (- (pow (sqrt -1) 2) (/ 1 x))))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))
(* -1 (* (pow x 3) (- (/ 1 x) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1 (/ 1 x)) x)) 1) x)) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x)) #s(literal 1 binary64)))
(* -1 (* x (- (/ 1 x) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1/2 (sqrt x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)))
(+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (/ (+ (sqrt x) (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (+ (* -1/2 (sqrt x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (neg.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (/ (+ (sqrt x) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (sqrt x)) (+ (* 1/2 (* (sqrt x) (- 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))) x)) (+ (* -1/2 (sqrt x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (/.f64 (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (sqrt.f64 x) (-.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) (neg.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) 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 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) x)
(* -1 (* x (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1/2 (sqrt x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(fma.f64 (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (/ (+ (sqrt x) (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (+ (* -1/2 (sqrt x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(fma.f64 (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (neg.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) x) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(* (pow x 2) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x))
(* (pow x 2) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 (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)))) (*.f64 x x))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* 1/2 (sqrt x))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 x x))

rewrite222.0ms (3.4%)

Memory
7.2MiB live, 257.0MiB allocated; 141ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045247
078177
1305162
22186153
09087150
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 889
Calls
Call 1
Inputs
#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) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (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 (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) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (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 (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) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
(sqrt.f64 x)
(-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (sqrt.f64 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(-.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
(-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (sqrt.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 5 binary64)))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)))) x (*.f64 x (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (*.f64 x x))
(/.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64))) (sqrt.f64 x)))) x)
(/.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (sqrt.f64 x)) x (*.f64 (sqrt.f64 x) (neg.f64 (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)))))) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (sqrt.f64 x)) x (*.f64 (sqrt.f64 x) (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64))))) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (fma.f64 (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (sqrt.f64 x) (*.f64 x (/.f64 (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64))) (sqrt.f64 x)))) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (fma.f64 (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x (*.f64 x (neg.f64 (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)))))) (*.f64 x x))
(/.f64 (fma.f64 (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x (*.f64 x (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64))))) (*.f64 x x))
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal -3 binary64))) (-.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) x))) (sqrt.f64 x) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x) (/.f64 (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64))) (sqrt.f64 x)))) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x) (sqrt.f64 x)))
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal -3 binary64))) (-.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) x))) x (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x) (neg.f64 (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)))))) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x) x))
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal -3 binary64))) (-.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) x))) x (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x) (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64))))) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x) x))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 x #s(literal -9/2 binary64)) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) (sqrt.f64 x) (*.f64 (*.f64 (fma.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal -3 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)))))) x) (/.f64 (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64))) (sqrt.f64 x)))) (*.f64 (*.f64 (fma.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal -3 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)))))) x) (sqrt.f64 x)))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 x #s(literal -9/2 binary64)) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) x (*.f64 (*.f64 (fma.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal -3 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)))))) x) (neg.f64 (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)))))) (*.f64 (*.f64 (fma.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal -3 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)))))) x) x))
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(neg.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(cosh.f64 (neg.f64 (neg.f64 (asinh.f64 (sqrt.f64 x)))))
(cosh.f64 (neg.f64 (asinh.f64 (sqrt.f64 x))))
(cosh.f64 (asinh.f64 (sqrt.f64 x)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(fabs.f64 (/.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (-.f64 #s(literal 1 binary64) x)))
(fabs.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(fabs.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (cosh.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (log1p.f64 x)))
(exp.f64 (/.f64 (log1p.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64))) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64))))
(*.f64 (neg.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64))) (fabs.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 3/4 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) x) (neg.f64 (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))) (sqrt.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 (pow.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) #s(literal 8 binary64))
(/.f64 (pow.f64 (neg.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(/.f64 (sqrt.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 9/2 binary64))) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 9/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))
(neg.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(neg.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal 1/2 binary64))))
(+.f64 (cosh.f64 (*.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sinh.f64 (*.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal 1/2 binary64)))

eval130.0ms (2%)

Memory
13.5MiB live, 282.3MiB allocated; 51ms collecting garbage
Compiler

Compiled 28 302 to 3 786 computations (86.6% saved)

prune35.0ms (0.5%)

Memory
-23.1MiB live, 75.3MiB allocated; 19ms collecting garbage
Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New8787885
Fresh044
Picked325
Done011
Total88114895
Accuracy
100.0%
Counts
895 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓7.3%
(-.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x))
6.4%
(-.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))
✓7.3%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
4.4%
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
✓1.6%
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
▶5.3%
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
▶18.7%
#s(approx (- (/ (sqrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (sqrt (pow (- x 1) 2))) (sqrt x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
46.1%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x (*.f64 x (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64))))) (*.f64 x x)))
99.2%
#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 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x))
99.1%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (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))
▶98.8%
#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))
▶99.3%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (sqrt.f64 x)) (sqrt.f64 x)))
▶97.2%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
97.4%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
Compiler

Compiled 554 to 412 computations (25.6% saved)

simplify87.0ms (1.3%)

Memory
31.4MiB live, 121.7MiB allocated; 10ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff0
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
cost-diff0
(/.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)
cost-diff0
#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))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
cost-diff0
#s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
cost-diff0
(/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
cost-diff0
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff0
#s(approx (- (/ (sqrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (sqrt (pow (- x 1) 2))) (sqrt x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
cost-diff0
(sqrt.f64 x)
cost-diff0
(neg.f64 (sqrt.f64 x))
cost-diff0
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
cost-diff1
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
cost-diff0
(fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
cost-diff0
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (sqrt.f64 x)) (sqrt.f64 x)))
cost-diff2
(/.f64 (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (sqrt.f64 x))
cost-diff2
(/.f64 (/.f64 (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (sqrt.f64 x)) (sqrt.f64 x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063375
086373
1140361
2337361
31220360
44053359
08206351
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (/.f64 (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (sqrt.f64 x))
(fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
#s(literal -5/128 binary64)
(pow.f64 x #s(literal -5/2 binary64))
x
#s(literal -5/2 binary64)
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))
(sqrt.f64 x)
#s(literal 1/2 binary64)
(fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
#s(literal 1/16 binary64)
(pow.f64 x #s(literal -3/2 binary64))
#s(literal -3/2 binary64)
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
#s(literal -1/8 binary64)
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
(neg.f64 (sqrt.f64 x))
(sqrt.f64 x)
x
#s(approx (- (/ (sqrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (sqrt (pow (- x 1) 2))) (sqrt x)) (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(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
#s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#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 (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal -1/8 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(sqrt.f64 x)
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (sqrt.f64 x)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (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) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x))
(/.f64 (/.f64 (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (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) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x)
(/.f64 (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (sqrt.f64 x))
(-.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))) (sqrt.f64 x)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)))
(fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (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) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
#s(literal -5/128 binary64)
(pow.f64 x #s(literal -5/2 binary64))
x
#s(literal -5/2 binary64)
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))
(fma.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))))
(sqrt.f64 x)
#s(literal 1/2 binary64)
(fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 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 1/16 binary64)
(pow.f64 x #s(literal -3/2 binary64))
#s(literal -3/2 binary64)
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
#s(literal -1/8 binary64)
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
(+.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
(neg.f64 (sqrt.f64 x))
(sqrt.f64 x)
x
#s(approx (- (/ (sqrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (sqrt (pow (- x 1) 2))) (sqrt x)) (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(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
#s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#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))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (/.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 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 (/.f64 #s(literal -1/8 binary64) x) (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)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal -1/8 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(sqrt.f64 x)

localize312.0ms (4.7%)

Memory
10.3MiB live, 376.1MiB allocated; 150ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.01953125
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
accuracy0.140625
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy0.26953125
(/.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)
accuracy0.5169108572827157
#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))
accuracy0.0
(sqrt.f64 x)
accuracy0.21785475738055096
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
accuracy0.26171875
(/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
accuracy1.528303987791692
#s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
accuracy0.0
(/.f64 #s(literal 1 binary64) x)
accuracy0.140625
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy52.00067416849861
#s(approx (- (/ (sqrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (sqrt (pow (- x 1) 2))) (sqrt x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
accuracy0.0
(sqrt.f64 x)
accuracy0.0
(neg.f64 (sqrt.f64 x))
accuracy0.01171875
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
accuracy59.61849083571259
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
accuracy0.01953125
(/.f64 (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (sqrt.f64 x))
accuracy0.21785475738055096
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (sqrt.f64 x)) (sqrt.f64 x)))
accuracy0.23046875
(/.f64 (/.f64 (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (sqrt.f64 x)) (sqrt.f64 x))
accuracy0.23046875
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
Samples
252.0ms253×1valid
1.0ms3×0valid
Compiler

Compiled 300 to 56 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 212.0ms
ival-div: 49.0ms (23.1% of total)
adjust: 48.0ms (22.6% of total)
ival-sqrt: 32.0ms (15.1% of total)
ival-pow: 25.0ms (11.8% of total)
ival-mult: 22.0ms (10.4% of total)
ival-add: 15.0ms (7.1% of total)
ival-sub: 11.0ms (5.2% of total)
ival-pow2: 5.0ms (2.4% of total)
ival-neg: 2.0ms (0.9% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory
22.5MiB live, 22.5MiB allocated; 0ms collecting garbage
Counts
19 → 96
Calls
Call 1
Inputs
(/.f64 (/.f64 (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
(neg.f64 (sqrt.f64 x))
(sqrt.f64 x)
#s(approx (- (/ (sqrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (sqrt (pow (- x 1) 2))) (sqrt x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
#s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 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 (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
Outputs
(* -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))
(/ -5/128 (pow x 3))
(/ (+ (* -5/128 x) (* 1/16 (pow x 2))) (pow x 4))
(/ (+ (* -5/128 x) (* x (+ (* -1/8 (pow x 2)) (* 1/16 x)))) (pow x 4))
(/ (+ (* -5/128 x) (* x (+ (* 1/16 x) (* x (+ (* -1/8 x) (* 1/2 (pow x 2))))))) (pow x 4))
(- 1 (sqrt x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(* -5/128 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3))
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 3))
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3))
(+ 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
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(* -1 (sqrt x))
(sqrt x)
(* -1 (+ 1 (sqrt x)))
(- (* -1/2 x) (+ 1 (sqrt x)))
(- (* x (- (* 1/8 x) 1/2)) (+ 1 (sqrt x)))
(- (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2)) (+ 1 (sqrt x)))
(sqrt (/ 1 x))
(/ 1 x)
(* 1/2 (sqrt x))
(* -1/8 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(* -1/8 (sqrt (/ 1 x)))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)
(* 1/2 (sqrt (/ 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
(* x (- (* 1/2 (/ 1 x)) (* 1/8 (/ 1 (pow x 2)))))
(* x (- (+ (/ 1/16 (pow x 3)) (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))
(* x (- (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3)))) (+ (/ 1/8 (pow x 2)) (* 5/128 (/ 1 (pow x 4))))))
(/ (+ (* -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)
(* 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))))))
(* 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)))))))
(* 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)))))))
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (* -1/2 (sqrt (/ 1 x)))))
(+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (+ (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* -1/2 (sqrt (/ 1 x)))))))
(+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (+ (sqrt (/ 1 (pow x 5))) (+ (sqrt (/ 1 (pow x 7))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (+ (* -1 (sqrt (/ 1 (pow x 5)))) (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (* (sqrt (/ 1 (pow x 5))) (- 1 (* 1/4 x)))))))))))
(+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt (/ 1 x))))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* -1/16 (sqrt (/ 1 (pow x 3))))) x)) (* 1/2 (sqrt (/ 1 x))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x)))) x)) (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt (/ 1 x))))
(* x (+ (* 1/2 (/ 1 x)) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 2))))))
(* -1 (* x (- (* -1 (/ (+ (* 1/8 (/ 1 (* x (pow (sqrt -1) 2)))) (* 1/16 (/ 1 (pow x 2)))) x)) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* -1 (/ (+ (/ 5/128 (pow x 3)) (+ (/ 1/16 (pow x 2)) (* 1/8 (/ 1 (* x (pow (sqrt -1) 2)))))) x)) (* 1/2 (/ 1 x)))))
(* -1/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/8 (sqrt (/ 1 x)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* (sqrt x) (pow (sqrt -1) 2))
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1/2 (sqrt x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)))
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (/ (+ (sqrt x) (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (+ (* -1/2 (sqrt x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (/ (+ (sqrt x) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (sqrt x)) (+ (* 1/2 (* (sqrt x) (- 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))) x)) (+ (* -1/2 (sqrt x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (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))))
(* -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 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
((/ (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (sqrt x)) (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (- (sqrt (+ x 1)) (neg (sqrt x))) (sqrt (+ x 1)) (neg (sqrt x)) (sqrt x) (- (/ (sqrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (sqrt (pow (- x 1) 2))) (sqrt x)) (sqrt (/ 1 x)) (/ 1 x) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (* 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x)))
2.0ms
x
@0
((/ (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (sqrt x)) (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (- (sqrt (+ x 1)) (neg (sqrt x))) (sqrt (+ x 1)) (neg (sqrt x)) (sqrt x) (- (/ (sqrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (sqrt (pow (- x 1) 2))) (sqrt x)) (sqrt (/ 1 x)) (/ 1 x) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (* 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x)))
2.0ms
x
@inf
((/ (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (sqrt x)) (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (- (sqrt (+ x 1)) (neg (sqrt x))) (sqrt (+ x 1)) (neg (sqrt x)) (sqrt x) (- (/ (sqrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (sqrt (pow (- x 1) 2))) (sqrt x)) (sqrt (/ 1 x)) (/ 1 x) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (* 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x)))

simplify173.0ms (2.6%)

Memory
-5.6MiB live, 283.9MiB allocated; 67ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03782004
112651687
255781662
083581549
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
Calls
Call 1
Inputs
(* -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))
(/ -5/128 (pow x 3))
(/ (+ (* -5/128 x) (* 1/16 (pow x 2))) (pow x 4))
(/ (+ (* -5/128 x) (* x (+ (* -1/8 (pow x 2)) (* 1/16 x)))) (pow x 4))
(/ (+ (* -5/128 x) (* x (+ (* 1/16 x) (* x (+ (* -1/8 x) (* 1/2 (pow x 2))))))) (pow x 4))
(- 1 (sqrt x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(* -5/128 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3))
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 3))
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3))
(+ 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
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(* -1 (sqrt x))
(sqrt x)
(* -1 (+ 1 (sqrt x)))
(- (* -1/2 x) (+ 1 (sqrt x)))
(- (* x (- (* 1/8 x) 1/2)) (+ 1 (sqrt x)))
(- (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2)) (+ 1 (sqrt x)))
(sqrt (/ 1 x))
(/ 1 x)
(* 1/2 (sqrt x))
(* -1/8 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(* -1/8 (sqrt (/ 1 x)))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)
(* 1/2 (sqrt (/ 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
(* x (- (* 1/2 (/ 1 x)) (* 1/8 (/ 1 (pow x 2)))))
(* x (- (+ (/ 1/16 (pow x 3)) (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))
(* x (- (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3)))) (+ (/ 1/8 (pow x 2)) (* 5/128 (/ 1 (pow x 4))))))
(/ (+ (* -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)
(* 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))))))
(* 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)))))))
(* 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)))))))
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (* -1/2 (sqrt (/ 1 x)))))
(+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (+ (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* -1/2 (sqrt (/ 1 x)))))))
(+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (+ (sqrt (/ 1 (pow x 5))) (+ (sqrt (/ 1 (pow x 7))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (+ (* -1 (sqrt (/ 1 (pow x 5)))) (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (* (sqrt (/ 1 (pow x 5))) (- 1 (* 1/4 x)))))))))))
(+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt (/ 1 x))))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* -1/16 (sqrt (/ 1 (pow x 3))))) x)) (* 1/2 (sqrt (/ 1 x))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x)))) x)) (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt (/ 1 x))))
(* x (+ (* 1/2 (/ 1 x)) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 2))))))
(* -1 (* x (- (* -1 (/ (+ (* 1/8 (/ 1 (* x (pow (sqrt -1) 2)))) (* 1/16 (/ 1 (pow x 2)))) x)) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* -1 (/ (+ (/ 5/128 (pow x 3)) (+ (/ 1/16 (pow x 2)) (* 1/8 (/ 1 (* x (pow (sqrt -1) 2)))))) x)) (* 1/2 (/ 1 x)))))
(* -1/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/8 (sqrt (/ 1 x)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* (sqrt x) (pow (sqrt -1) 2))
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1/2 (sqrt x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)))
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (/ (+ (sqrt x) (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (+ (* -1/2 (sqrt x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (/ (+ (sqrt x) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (sqrt x)) (+ (* 1/2 (* (sqrt x) (- 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))) x)) (+ (* -1/2 (sqrt x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (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))))
(* -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 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
Outputs
(* -5/128 (sqrt (/ 1 (pow x 7))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal -5/128 binary64))
(/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4))
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4))
(/.f64 (fma.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))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4))
(/.f64 (fma.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))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(/ -5/128 (pow x 3))
(/.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ (* -5/128 x) (* 1/16 (pow x 2))) (pow x 4))
(/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) x) x (*.f64 #s(literal -5/128 binary64) x)) (pow.f64 x #s(literal 4 binary64)))
(/ (+ (* -5/128 x) (* x (+ (* -1/8 (pow x 2)) (* 1/16 x)))) (pow x 4))
(/.f64 (*.f64 x (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) x)) #s(literal -5/128 binary64))) (pow.f64 x #s(literal 4 binary64)))
(/ (+ (* -5/128 x) (* x (+ (* 1/16 x) (* x (+ (* -1/8 x) (* 1/2 (pow x 2))))))) (pow x 4))
(/.f64 (*.f64 x (fma.f64 x (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)) #s(literal 1/16 binary64)) #s(literal -5/128 binary64))) (pow.f64 x #s(literal 4 binary64)))
(- 1 (sqrt 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)))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(* -5/128 (sqrt (/ 1 (pow x 5))))
(*.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
(/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3))
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64)))
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(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(*.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) #s(literal 1/16 binary64) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)
(* (sqrt x) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 x))
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1/2 (sqrt x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)))
(+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (/ (+ (sqrt x) (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (+ (* -1/2 (sqrt x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (neg.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (/ (+ (sqrt x) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (sqrt x)) (+ (* 1/2 (* (sqrt x) (- 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))) x)) (+ (* -1/2 (sqrt x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (/.f64 (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (sqrt.f64 x) (-.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) (neg.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+ (* -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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64))) x)) x))
(* -1 (* x (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* -1 (* x (+ (* -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))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.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)) x)
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64))) x)) x)) x)

rewrite236.0ms (3.6%)

Memory
-47.6MiB live, 346.1MiB allocated; 67ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063313
086298
1359263
22879261
09716258
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 326
Calls
Call 1
Inputs
(/.f64 (/.f64 (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
(neg.f64 (sqrt.f64 x))
(sqrt.f64 x)
#s(approx (- (/ (sqrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (sqrt (pow (- x 1) 2))) (sqrt x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
#s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 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 (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
Outputs
(/.f64 (fma.f64 (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -3 binary64))) (sqrt.f64 x) (*.f64 (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)))) (sqrt.f64 x)))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64))) x (*.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 (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 (fma.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 x (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64)))) (*.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 (/.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)))))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 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)))))) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 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 (/.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))))) (sqrt.f64 x)) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.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))))) (sqrt.f64 x)) (sqrt.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 (/.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)))))) (sqrt.f64 x)) (sqrt.f64 x)))
(+.f64 (/.f64 (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -3 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)))) (sqrt.f64 x)) (sqrt.f64 x)))
(+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 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))) x))
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #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))
(+.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 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64)) x))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64))) (sqrt.f64 x) (*.f64 (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 (neg.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))))) (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64))))) x)
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(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (neg.f64 (log.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (neg.f64 x))
(/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
(neg.f64 (/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (neg.f64 x)))
#s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) x))
(fabs.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(fabs.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#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))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (neg.f64 x) (*.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (*.f64 x x))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (*.f64 (neg.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (neg.f64 x) (*.f64 x (neg.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x (*.f64 x (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (*.f64 x x))
(/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x) (*.f64 (neg.f64 x) (neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (*.f64 x x))
(/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (neg.f64 x) (*.f64 x (neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (*.f64 x (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal -9/2 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (neg.f64 (neg.f64 x)))
(/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 x x))
(/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 #s(literal 1/4 binary64) x)) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x))
(/.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal -3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64))) (*.f64 (+.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) (sqrt.f64 x))) (/.f64 #s(literal 1/64 binary64) x)) x))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (neg.f64 x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1/8 binary64) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))))
(fma.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))))
(-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))))
(+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal -3/2 binary64))) (+.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) (sqrt.f64 x))) (/.f64 #s(literal 1/64 binary64) x)) (*.f64 (+.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) (sqrt.f64 x))) (/.f64 #s(literal 1/64 binary64) x)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64)))) (pow.f64 (+.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) (sqrt.f64 x))) (/.f64 #s(literal 1/64 binary64) x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) x) (pow.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1/64 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))
(/.f64 (-.f64 (*.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal -3/2 binary64))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/8 binary64))) (+.f64 (/.f64 #s(literal 1/64 binary64) x) (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 #s(literal 1/4 binary64) x))) (neg.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal -3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) (sqrt.f64 x))) (/.f64 #s(literal 1/64 binary64) x))))
(/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 #s(literal 1/4 binary64) x)) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))
(/.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal -3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/4 binary64) x (-.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) (sqrt.f64 x)))))
(/.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal -3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64))) (+.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) (sqrt.f64 x))) (/.f64 #s(literal 1/64 binary64) x)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(-.f64 (/.f64 (/.f64 #s(literal 1/64 binary64) x) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) (/.f64 (*.f64 #s(literal 1/4 binary64) x) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/8 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))
(-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)))
(-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(+.f64 (/.f64 (*.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal -3/2 binary64))) (+.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) (sqrt.f64 x))) (/.f64 #s(literal 1/64 binary64) x))) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64)) (+.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) (sqrt.f64 x))) (/.f64 #s(literal 1/64 binary64) x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/8 binary64))
(*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1/8 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal -1/8 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
(neg.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))

eval98.0ms (1.5%)

Memory
14.2MiB live, 154.2MiB allocated; 38ms collecting garbage
Compiler

Compiled 26 530 to 2 825 computations (89.4% saved)

prune26.0ms (0.4%)

Memory
19.9MiB live, 66.5MiB allocated; 6ms collecting garbage
Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New6089617
Fresh156
Picked415
Done123
Total61417631
Accuracy
100.0%
Counts
631 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓7.3%
(-.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x))
6.4%
(-.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))
✓7.3%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
4.4%
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
▶99.2%
#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 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x))
45.7%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 x x)))
99.1%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (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))
98.8%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
▶98.6%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1/64 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))
22.1%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (/.f64 (*.f64 x (fma.f64 x (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)) #s(literal 1/16 binary64)) #s(literal -5/128 binary64))) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 x)))
▶98.8%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x) x)) (sqrt.f64 x)))
99.1%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (*.f64 (neg.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))) x))) (sqrt.f64 x)))
97.3%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) #s(literal 1/2 binary64)) (sqrt.f64 x)))
✓97.2%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
99.2%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 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))) x)))
▶97.4%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
▶5.3%
#s(approx (- (sqrt (+ x 1)) (neg (sqrt x))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
Compiler

Compiled 853 to 629 computations (26.3% saved)

simplify121.0ms (1.8%)

Memory
-11.9MiB live, 220.9MiB allocated; 30ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1/64 binary64) x))
cost-diff0
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1/64 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))
cost-diff0
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1/64 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))
cost-diff2
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1/64 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)
cost-diff0
#s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x) x))
cost-diff0
(/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x) x)) (sqrt.f64 x))
cost-diff0
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x) x)) (sqrt.f64 x)))
cost-diff4
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x) x)
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff0
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
cost-diff0
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
cost-diff0
(sqrt.f64 x)
cost-diff0
(+.f64 (sqrt.f64 x) #s(literal 1 binary64))
cost-diff0
#s(approx (- (sqrt (+ x 1)) (neg (sqrt x))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
cost-diff0
(pow.f64 x #s(literal -5/2 binary64))
cost-diff0
(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 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
cost-diff0
(/.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 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x)
cost-diff0
#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 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056397
087390
1126390
2226384
3560371
41458371
52884371
08672368
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#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 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) 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 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x)
(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 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(pow.f64 x #s(literal -5/2 binary64))
x
#s(literal -5/2 binary64)
#s(literal -5/128 binary64)
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))
(sqrt.f64 x)
#s(literal 1/2 binary64)
(fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
#s(literal 1/16 binary64)
(pow.f64 x #s(literal -3/2 binary64))
#s(literal -3/2 binary64)
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
#s(literal -1/8 binary64)
#s(approx (- (sqrt (+ x 1)) (neg (sqrt x))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(+.f64 (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
x
#s(literal 1 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt 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)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x) x)) (sqrt.f64 x)))
(/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x) x)) (sqrt.f64 x))
#s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x) x))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x) x)
(/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x)
(+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal -1/8 binary64) x)
#s(literal -1/8 binary64)
x
#s(literal 1/2 binary64)
(sqrt.f64 x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1/64 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1/64 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1/64 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))
(-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1/64 binary64) x))
(*.f64 #s(literal 1/4 binary64) x)
#s(literal 1/4 binary64)
x
(/.f64 #s(literal 1/64 binary64) x)
#s(literal 1/64 binary64)
(-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(sqrt.f64 x)
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
#s(literal -1/8 binary64)
Outputs
#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 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 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 -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x)
(/.f64 (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 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)
(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 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 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)))))
(pow.f64 x #s(literal -5/2 binary64))
x
#s(literal -5/2 binary64)
#s(literal -5/128 binary64)
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.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))))
(sqrt.f64 x)
#s(literal 1/2 binary64)
(fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 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 1/16 binary64)
(pow.f64 x #s(literal -3/2 binary64))
#s(literal -3/2 binary64)
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
#s(literal -1/8 binary64)
#s(approx (- (sqrt (+ x 1)) (neg (sqrt x))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(+.f64 (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
x
#s(literal 1 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt 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)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x) x)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64))) (sqrt.f64 x)))
(/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64))) (sqrt.f64 x))
#s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x) x))
#s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x) x)
(-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64))
(/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x)
(/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) x)
(+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal -1/8 binary64) x)
#s(literal -1/8 binary64)
x
#s(literal 1/2 binary64)
(sqrt.f64 x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1/64 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 #s(literal 1/64 binary64) x) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1/64 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 #s(literal 1/64 binary64) x) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1/64 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))
(-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1/64 binary64) x))
(*.f64 #s(literal 1/4 binary64) x)
#s(literal 1/4 binary64)
x
(/.f64 #s(literal 1/64 binary64) x)
#s(literal 1/64 binary64)
(-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(sqrt.f64 x)
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
#s(literal -1/8 binary64)

localize229.0ms (3.5%)

Memory
19.5MiB live, 357.7MiB allocated; 48ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.23046875
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
accuracy0.26953125
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1/64 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)
accuracy0.4765625
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1/64 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))
accuracy0.5169108572827157
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1/64 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))
accuracy0.13671875
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x) x)
accuracy0.21785475738055096
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x) x)) (sqrt.f64 x)))
accuracy0.23046875
(/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x) x)) (sqrt.f64 x))
accuracy0.5355924642807165
#s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x) x))
accuracy0.0
(/.f64 #s(literal 1 binary64) x)
accuracy0.0
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
accuracy0.140625
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy1.516503495762909
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
accuracy0.0
(sqrt.f64 x)
accuracy0.00390625
(+.f64 (sqrt.f64 x) #s(literal 1 binary64))
accuracy51.99426373813647
#s(approx (- (sqrt (+ x 1)) (neg (sqrt x))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
accuracy0.01171875
(fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
accuracy0.21785475738055096
#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 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x))
accuracy0.23046875
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
accuracy0.26171875
(/.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 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x)
Samples
177.0ms252×1valid
10.0ms4×0valid
Compiler

Compiled 303 to 47 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 149.0ms
adjust: 45.0ms (30.2% of total)
ival-div: 27.0ms (18.1% of total)
ival-mult: 19.0ms (12.7% of total)
ival-sub: 17.0ms (11.4% of total)
ival-pow: 15.0ms (10.1% of total)
ival-add: 14.0ms (9.4% of total)
ival-sqrt: 9.0ms (6% of total)
ival-neg: 2.0ms (1.3% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series23.0ms (0.4%)

Memory
-13.9MiB live, 30.3MiB allocated; 13ms collecting garbage
Counts
21 → 93
Calls
Call 1
Inputs
#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 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) 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 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x)
(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 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(pow.f64 x #s(literal -5/2 binary64))
#s(approx (- (sqrt (+ x 1)) (neg (sqrt x))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(+.f64 (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
#s(approx (- (sqrt (+ x 1)) (sqrt 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)
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x) x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x) x)) (sqrt.f64 x)))
(/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x) x)) (sqrt.f64 x))
#s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x) x))
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1/64 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1/64 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1/64 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))
(-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1/64 binary64) x))
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
(fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
Outputs
(- 1 (sqrt x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(* -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))
(* -5/128 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3))
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 3))
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3))
(sqrt (/ 1 (pow x 5)))
(+ 1 (sqrt x))
(+ 1 (+ (sqrt x) (* 1/2 x)))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
(sqrt x)
(* 1/2 (sqrt (/ 1 x)))
(sqrt (/ 1 x))
(/ 1 x)
(/ -1/8 x)
(/ (- (* 1/2 x) 1/8) x)
(/ -5/128 (pow x 3))
(/ (+ (* -5/128 x) (* 1/16 (pow x 2))) (pow x 4))
(/ (+ (* -5/128 x) (* x (+ (* -1/8 (pow x 2)) (* 1/16 x)))) (pow x 4))
(/ (+ (* -5/128 x) (* x (+ (* 1/16 x) (* x (+ (* -1/8 x) (* 1/2 (pow x 2))))))) (pow x 4))
(* -1/8 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(* -1/8 (sqrt (/ 1 x)))
(+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x)))
(/ -1/64 x)
(/ (- (* 1/4 (pow x 2)) 1/64) x)
(* 1/16 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 2))
(/ (+ (* -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 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))))))
(* 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)))))))
(* 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)))))))
(* x (+ (sqrt (/ 1 x)) (/ 1 x)))
1/2
(- 1/2 (* 1/8 (/ 1 x)))
(* x (- (* 1/2 (/ 1 x)) (* 1/8 (/ 1 (pow x 2)))))
(* x (- (+ (/ 1/16 (pow x 3)) (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))
(* x (- (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3)))) (+ (/ 1/8 (pow x 2)) (* 5/128 (/ 1 (pow x 4))))))
(* 1/4 x)
(* x (- 1/4 (* 1/64 (/ 1 (pow x 2)))))
(+ (* -1/8 (sqrt (/ 1 x))) (* 1/16 (sqrt (/ 1 (pow x 3)))))
(* -1/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))
(+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (sqrt (/ 1 x)))) 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)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/8 (sqrt (/ 1 x)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt (/ 1 x))))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* -1/16 (sqrt (/ 1 (pow x 3))))) x)) (* 1/2 (sqrt (/ 1 x))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x)))) x)) (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt (/ 1 x))))
(* x (+ (* 1/2 (/ 1 x)) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 2))))))
(* -1 (* x (- (* -1 (/ (+ (* 1/8 (/ 1 (* x (pow (sqrt -1) 2)))) (* 1/16 (/ 1 (pow x 2)))) x)) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* -1 (/ (+ (/ 5/128 (pow x 3)) (+ (/ 1/16 (pow x 2)) (* 1/8 (/ 1 (* x (pow (sqrt -1) 2)))))) x)) (* 1/2 (/ 1 x)))))
(* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1/32 (sqrt x)) (* -1/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 4))))) x)) (* 1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/32 (sqrt x)) (* 1/4 (/ (- (* -1/32 (sqrt x)) (* -1/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 4))))) (* x (pow (sqrt -1) 2))))) (* -1/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 4))))) x)) (* 1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) x))
(* -1/2 (sqrt x))
(+ (* -1/2 (sqrt x)) (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))))
(+ (* -1 (/ (- (+ (* -1/32 (sqrt (/ 1 x))) (* 1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) (* -1/32 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 4))))) x)) (* -1/2 (sqrt x)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1/32 (sqrt x)) (* -1/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 4)))))) (* -1/4 (/ (- (* -1/32 (sqrt x)) (* -1/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 4))))) (* x (pow (sqrt -1) 2))))) x)) (* 1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/2 (sqrt x)))
(* -1 (* x (- (* 1/64 (/ 1 (pow x 2))) 1/4)))
(+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
Calls

3 calls:

TimeVariablePointExpression
10.0ms
x
@inf
((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (pow x -5/2) -5/128) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) x) (+ (* (pow x -5/2) -5/128) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (pow x -5/2) (- (sqrt (+ x 1)) (neg (sqrt x))) (+ (sqrt x) 1) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (/ 1 x)) 1/2) (sqrt (/ 1 x)) (/ 1 x) (* (/ (+ (/ -1/8 x) 1/2) x) x) (- (sqrt (+ x 1)) (sqrt x)) (/ (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (sqrt x)) (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (/ (/ (- (* 1/4 x) (/ 1/64 x)) (- (* 1/2 (sqrt x)) (/ -1/8 (sqrt x)))) x) (- (sqrt (+ x 1)) (sqrt x)) (/ (- (* 1/4 x) (/ 1/64 x)) (- (* 1/2 (sqrt x)) (/ -1/8 (sqrt x)))) (- (* 1/4 x) (/ 1/64 x)) (/ -1/8 (sqrt x)) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))
6.0ms
x
@0
((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (pow x -5/2) -5/128) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) x) (+ (* (pow x -5/2) -5/128) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (pow x -5/2) (- (sqrt (+ x 1)) (neg (sqrt x))) (+ (sqrt x) 1) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (/ 1 x)) 1/2) (sqrt (/ 1 x)) (/ 1 x) (* (/ (+ (/ -1/8 x) 1/2) x) x) (- (sqrt (+ x 1)) (sqrt x)) (/ (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (sqrt x)) (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (/ (/ (- (* 1/4 x) (/ 1/64 x)) (- (* 1/2 (sqrt x)) (/ -1/8 (sqrt x)))) x) (- (sqrt (+ x 1)) (sqrt x)) (/ (- (* 1/4 x) (/ 1/64 x)) (- (* 1/2 (sqrt x)) (/ -1/8 (sqrt x)))) (- (* 1/4 x) (/ 1/64 x)) (/ -1/8 (sqrt x)) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))
5.0ms
x
@-inf
((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (pow x -5/2) -5/128) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) x) (+ (* (pow x -5/2) -5/128) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (pow x -5/2) (- (sqrt (+ x 1)) (neg (sqrt x))) (+ (sqrt x) 1) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (/ 1 x)) 1/2) (sqrt (/ 1 x)) (/ 1 x) (* (/ (+ (/ -1/8 x) 1/2) x) x) (- (sqrt (+ x 1)) (sqrt x)) (/ (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (sqrt x)) (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (/ (/ (- (* 1/4 x) (/ 1/64 x)) (- (* 1/2 (sqrt x)) (/ -1/8 (sqrt x)))) x) (- (sqrt (+ x 1)) (sqrt x)) (/ (- (* 1/4 x) (/ 1/64 x)) (- (* 1/2 (sqrt x)) (/ -1/8 (sqrt x)))) (- (* 1/4 x) (/ 1/64 x)) (/ -1/8 (sqrt x)) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))

simplify265.0ms (4%)

Memory
32.8MiB live, 265.7MiB allocated; 24ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03521720
111311471
247011451
082461352
Stop Event
1×iter limit
1×node limit
Counts
93 → 93
Calls
Call 1
Inputs
(- 1 (sqrt x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(* -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))
(* -5/128 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3))
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 3))
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3))
(sqrt (/ 1 (pow x 5)))
(+ 1 (sqrt x))
(+ 1 (+ (sqrt x) (* 1/2 x)))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
(sqrt x)
(* 1/2 (sqrt (/ 1 x)))
(sqrt (/ 1 x))
(/ 1 x)
(/ -1/8 x)
(/ (- (* 1/2 x) 1/8) x)
(/ -5/128 (pow x 3))
(/ (+ (* -5/128 x) (* 1/16 (pow x 2))) (pow x 4))
(/ (+ (* -5/128 x) (* x (+ (* -1/8 (pow x 2)) (* 1/16 x)))) (pow x 4))
(/ (+ (* -5/128 x) (* x (+ (* 1/16 x) (* x (+ (* -1/8 x) (* 1/2 (pow x 2))))))) (pow x 4))
(* -1/8 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(* -1/8 (sqrt (/ 1 x)))
(+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x)))
(/ -1/64 x)
(/ (- (* 1/4 (pow x 2)) 1/64) x)
(* 1/16 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 2))
(/ (+ (* -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 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))))))
(* 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)))))))
(* 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)))))))
(* x (+ (sqrt (/ 1 x)) (/ 1 x)))
1/2
(- 1/2 (* 1/8 (/ 1 x)))
(* x (- (* 1/2 (/ 1 x)) (* 1/8 (/ 1 (pow x 2)))))
(* x (- (+ (/ 1/16 (pow x 3)) (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))
(* x (- (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3)))) (+ (/ 1/8 (pow x 2)) (* 5/128 (/ 1 (pow x 4))))))
(* 1/4 x)
(* x (- 1/4 (* 1/64 (/ 1 (pow x 2)))))
(+ (* -1/8 (sqrt (/ 1 x))) (* 1/16 (sqrt (/ 1 (pow x 3)))))
(* -1/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))
(+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (sqrt (/ 1 x)))) 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)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/8 (sqrt (/ 1 x)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt (/ 1 x))))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* -1/16 (sqrt (/ 1 (pow x 3))))) x)) (* 1/2 (sqrt (/ 1 x))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x)))) x)) (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt (/ 1 x))))
(* x (+ (* 1/2 (/ 1 x)) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 2))))))
(* -1 (* x (- (* -1 (/ (+ (* 1/8 (/ 1 (* x (pow (sqrt -1) 2)))) (* 1/16 (/ 1 (pow x 2)))) x)) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* -1 (/ (+ (/ 5/128 (pow x 3)) (+ (/ 1/16 (pow x 2)) (* 1/8 (/ 1 (* x (pow (sqrt -1) 2)))))) x)) (* 1/2 (/ 1 x)))))
(* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1/32 (sqrt x)) (* -1/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 4))))) x)) (* 1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/32 (sqrt x)) (* 1/4 (/ (- (* -1/32 (sqrt x)) (* -1/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 4))))) (* x (pow (sqrt -1) 2))))) (* -1/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 4))))) x)) (* 1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) x))
(* -1/2 (sqrt x))
(+ (* -1/2 (sqrt x)) (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))))
(+ (* -1 (/ (- (+ (* -1/32 (sqrt (/ 1 x))) (* 1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) (* -1/32 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 4))))) x)) (* -1/2 (sqrt x)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1/32 (sqrt x)) (* -1/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 4)))))) (* -1/4 (/ (- (* -1/32 (sqrt x)) (* -1/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 4))))) (* x (pow (sqrt -1) 2))))) x)) (* 1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/2 (sqrt x)))
(* -1 (* x (- (* 1/64 (/ 1 (pow x 2))) 1/4)))
(+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
Outputs
(- 1 (sqrt 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)))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(* -5/128 (sqrt (/ 1 (pow x 7))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal -5/128 binary64))
(/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4))
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4))
(/.f64 (fma.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))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4))
(/.f64 (fma.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))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(* -5/128 (sqrt (/ 1 (pow x 5))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64))
(/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3))
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 3))
(/.f64 (fma.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))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3))
(/.f64 (fma.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))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(sqrt (/ 1 (pow x 5)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(+ 1 (sqrt x))
(+.f64 (sqrt.f64 x) #s(literal 1 binary64))
(+ 1 (+ (sqrt x) (* 1/2 x)))
(fma.f64 #s(literal 1/2 binary64) x (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(sqrt x)
(sqrt.f64 x)
(* 1/2 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ -1/8 x)
(/.f64 #s(literal -1/8 binary64) x)
(/ (- (* 1/2 x) 1/8) x)
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))
(/ -5/128 (pow x 3))
(/.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ (* -5/128 x) (* 1/16 (pow x 2))) (pow x 4))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x)) (pow.f64 x #s(literal 4 binary64)))
(/ (+ (* -5/128 x) (* x (+ (* -1/8 (pow x 2)) (* 1/16 x)))) (pow x 4))
(/.f64 (*.f64 x (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) x)) #s(literal -5/128 binary64))) (pow.f64 x #s(literal 4 binary64)))
(/ (+ (* -5/128 x) (* x (+ (* 1/16 x) (* x (+ (* -1/8 x) (* 1/2 (pow x 2))))))) (pow x 4))
(/.f64 (*.f64 x (fma.f64 x (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)) #s(literal 1/16 binary64)) #s(literal -5/128 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* -1/8 (sqrt (/ 1 (pow x 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt 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)
(* -1/8 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64))
(+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt 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)))
(/ -1/64 x)
(/.f64 #s(literal -1/64 binary64) x)
(/ (- (* 1/4 (pow x 2)) 1/64) x)
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/64 binary64)) x)
(* 1/16 (sqrt (/ 1 (pow x 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 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))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (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)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(/.f64 (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 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/16 binary64))))
(+ (* -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))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/16 binary64)))))
(* 1/2 (sqrt x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) x)
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/16 binary64)))) x)
(* 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)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/16 binary64))))) x)
(* 2 (sqrt x))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
(* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) 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)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x)
(* x (+ (sqrt (/ 1 x)) (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(- 1/2 (* 1/8 (/ 1 x)))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))
(* x (- (* 1/2 (/ 1 x)) (* 1/8 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 x (*.f64 x x)) #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(* x (- (+ (/ 1/16 (pow x 3)) (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))
(*.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) x)
(* x (- (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3)))) (+ (/ 1/8 (pow x 2)) (* 5/128 (/ 1 (pow x 4))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (*.f64 x x)) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
(* 1/4 x)
(*.f64 #s(literal 1/4 binary64) x)
(* x (- 1/4 (* 1/64 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 x x))) x)
(+ (* -1/8 (sqrt (/ 1 x))) (* 1/16 (sqrt (/ 1 (pow x 3)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64)))
(* -1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt 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))) (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64) (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (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))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 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)))) 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (/.f64 (fma.f64 #s(literal 5/128 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 1/16 binary64))) x)) x))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) x)
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 #s(literal -1/16 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 1/8 binary64))) x)))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/8 (sqrt (/ 1 x)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -5/128 binary64) (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) x)))
(* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
(* -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))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)))
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* -1/16 (sqrt (/ 1 (pow x 3))))) x)) (* 1/2 (sqrt (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64))) x))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x)))) x)) (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt (/ 1 x))))
(fma.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 -1/8 binary64) (/.f64 (fma.f64 #s(literal 5/128 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 1/16 binary64))) x)) x))
(* x (+ (* 1/2 (/ 1 x)) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 2))))))
(fma.f64 (/.f64 x (*.f64 x x)) #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1 (/ (+ (* 1/8 (/ 1 (* x (pow (sqrt -1) 2)))) (* 1/16 (/ 1 (pow x 2)))) x)) (* 1/2 (/ 1 x)))))
(*.f64 (neg.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))) x))
(* -1 (* x (- (* -1 (/ (+ (/ 5/128 (pow x 3)) (+ (/ 1/16 (pow x 2)) (* 1/8 (/ 1 (* x (pow (sqrt -1) 2)))))) x)) (* 1/2 (/ 1 x)))))
(*.f64 (neg.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 3 binary64)))))) x))
(* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt 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)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1/32 (sqrt x)) (* -1/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 4))))) x)) (* 1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (-.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) x) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/32 (sqrt x)) (* 1/4 (/ (- (* -1/32 (sqrt x)) (* -1/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 4))))) (* x (pow (sqrt -1) 2))))) (* -1/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 4))))) x)) (* 1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 x) (/.f64 (fma.f64 #s(literal 1/128 binary64) (/.f64 (-.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) x) (*.f64 (-.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) #s(literal -1/32 binary64))) (neg.f64 x))) (neg.f64 x))) (neg.f64 x))
(* -1/2 (sqrt x))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))
(+ (* -1/2 (sqrt x)) (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(+ (* -1 (/ (- (+ (* -1/32 (sqrt (/ 1 x))) (* 1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) (* -1/32 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 4))))) x)) (* -1/2 (sqrt x)))
(fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (/.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal -1/32 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (neg.f64 x)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1/32 (sqrt x)) (* -1/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 4)))))) (* -1/4 (/ (- (* -1/32 (sqrt x)) (* -1/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 4))))) (* x (pow (sqrt -1) 2))))) x)) (* 1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/2 (sqrt x)))
(fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 x) (/.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (-.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) x) (*.f64 (-.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) #s(literal 1/32 binary64))) (neg.f64 x))) (neg.f64 x)))
(* -1 (* x (- (* 1/64 (/ 1 (pow x 2))) 1/4)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))
(+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64)))

rewrite309.0ms (4.7%)

Memory
2.1MiB live, 246.1MiB allocated; 36ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056317
087314
1303285
21961277
08519274
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 507
Calls
Call 1
Inputs
#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 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) 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 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x)
(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 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(pow.f64 x #s(literal -5/2 binary64))
#s(approx (- (sqrt (+ x 1)) (neg (sqrt x))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(+.f64 (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
#s(approx (- (sqrt (+ x 1)) (sqrt 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)
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x) x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x) x)) (sqrt.f64 x)))
(/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x) x)) (sqrt.f64 x))
#s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x) x))
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1/64 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1/64 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1/64 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))
(-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1/64 binary64) x))
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
(fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 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 (/.f64 (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 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))))) (-.f64 (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 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)))))) (-.f64 (*.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 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 #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 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)))))) (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 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64))))))) (/.f64 (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 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 (neg.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 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)))) (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 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 (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)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 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 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 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 (neg.f64 (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 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 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 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))))))) (neg.f64 (*.f64 x x)))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)))) x (*.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))
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(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/256 binary64)))) (neg.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/256 binary64)) (/.f64 #s(literal 1/64 binary64) x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -9/2 binary64)) #s(literal 1/4096 binary64) (pow.f64 (/.f64 #s(literal 1/64 binary64) x) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/256 binary64) (-.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/256 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)) (/.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)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/64 binary64) x))) (pow.f64 (-.f64 (*.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 (fma.f64 (*.f64 (pow.f64 x #s(literal -9/2 binary64)) #s(literal 1/4096 binary64)) (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/256 binary64) (-.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 (*.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 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/256 binary64) (-.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (pow.f64 (/.f64 #s(literal 1/64 binary64) x) #s(literal 3/2 binary64)))) (pow.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/256 binary64) (-.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 (*.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 #s(literal 1/64 binary64) x) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/256 binary64))) (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/256 binary64)) (/.f64 #s(literal 1/64 binary64) x))) (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -9/2 binary64)) #s(literal 1/4096 binary64) (pow.f64 (/.f64 #s(literal 1/64 binary64) x) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) x) (-.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/256 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -9/2 binary64)) #s(literal 1/4096 binary64) (pow.f64 (/.f64 #s(literal 1/64 binary64) x) #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/256 binary64) (-.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/256 binary64)) (/.f64 #s(literal 1/64 binary64) x)) (-.f64 (*.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 (pow.f64 x #s(literal -9/2 binary64)) #s(literal 1/4096 binary64) (pow.f64 (/.f64 #s(literal 1/64 binary64) x) #s(literal 3/2 binary64))) (+.f64 (/.f64 #s(literal 1/64 binary64) x) (-.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/256 binary64)) (*.f64 (*.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 (pow.f64 x #s(literal -9/2 binary64)) #s(literal 1/4096 binary64) (pow.f64 (/.f64 #s(literal 1/64 binary64) x) #s(literal 3/2 binary64))) (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/256 binary64) (-.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/4 binary64)))) (pow.f64 x #s(literal -3/4 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/4 binary64))) (pow.f64 x #s(literal -3/4 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 (pow.f64 x #s(literal -3/4 binary64)) (fabs.f64 (*.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 1/16 binary64))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 (pow.f64 x #s(literal -3/4 binary64)) (*.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 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)))
(fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(-.f64 (/.f64 (/.f64 #s(literal 1/64 binary64) x) (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/256 binary64)) (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)))))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/256 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (/.f64 (/.f64 #s(literal 1/64 binary64) x) (-.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) #s(literal 1/16 binary64)))
(-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal -3/2 binary64))))
(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/64 binary64) x) #s(literal 3/2 binary64)) (+.f64 (/.f64 #s(literal 1/64 binary64) x) (-.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/256 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))) (/.f64 (*.f64 (pow.f64 x #s(literal -9/2 binary64)) #s(literal 1/4096 binary64)) (+.f64 (/.f64 #s(literal 1/64 binary64) x) (-.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/256 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))))
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -9/2 binary64)) #s(literal 1/4096 binary64)) (+.f64 (/.f64 #s(literal 1/64 binary64) x) (-.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/256 binary64)) (*.f64 (*.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 (/.f64 #s(literal 1/64 binary64) x) #s(literal 3/2 binary64)) (+.f64 (/.f64 #s(literal 1/64 binary64) x) (-.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/256 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))))
(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/64 binary64) x) #s(literal 3/2 binary64)) (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/256 binary64) (-.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))) (/.f64 (*.f64 (pow.f64 x #s(literal -9/2 binary64)) #s(literal 1/4096 binary64)) (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/256 binary64) (-.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))))
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -9/2 binary64)) #s(literal 1/4096 binary64)) (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/256 binary64) (-.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 (*.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 (/.f64 #s(literal 1/64 binary64) x) #s(literal 3/2 binary64)) (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/256 binary64) (-.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))))
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/256 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (/.f64 (*.f64 (neg.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (-.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(+.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)))

eval161.0ms (2.4%)

Memory
-39.2MiB live, 171.8MiB allocated; 100ms collecting garbage
Compiler

Compiled 28 900 to 3 113 computations (89.2% saved)

prune78.0ms (1.2%)

Memory
-9.7MiB live, 84.5MiB allocated; 9ms collecting garbage
Pruning

16 alts after pruning (12 fresh and 4 done)

PrunedKeptTotal
New7075712
Fresh279
Picked415
Done033
Total71316729
Accuracy
100.0%
Counts
729 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓7.3%
(-.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x))
6.4%
(-.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))
✓7.3%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
4.4%
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
45.7%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 x x)))
99.1%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (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))
98.8%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
98.7%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(approx (- (* 1/4 x) (/ 1/64 x)) (*.f64 #s(literal 1/4 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))
22.1%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (/.f64 (*.f64 x (fma.f64 x (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)) #s(literal 1/16 binary64)) #s(literal -5/128 binary64))) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 x)))
99.3%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (*.f64 x x)) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 4 binary64)))) x))) (sqrt.f64 x)))
99.1%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (*.f64 (neg.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))) x))) (sqrt.f64 x)))
98.9%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) #s(approx (* (/ (+ (/ -1/8 x) 1/2) x) x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))) (sqrt.f64 x)))
97.3%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) #s(approx (* (/ (+ (/ -1/8 x) 1/2) x) x) #s(literal 1/2 binary64))) (sqrt.f64 x)))
✓97.2%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
✓97.4%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
5.3%
#s(approx (- (sqrt (+ x 1)) (neg (sqrt x))) #s(approx (+ (sqrt x) 1) (sqrt.f64 x)))
Compiler

Compiled 1 337 to 572 computations (57.2% saved)

regimes16.0ms (0.2%)

Memory
32.4MiB live, 32.4MiB allocated; 0ms collecting garbage
Counts
31 → 1
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (neg (sqrt x))) #s(approx (+ (sqrt x) 1) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (neg (sqrt x))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) #s(literal 1/2 binary64)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) #s(approx (* (/ (+ (/ -1/8 x) 1/2) x) x) #s(literal 1/2 binary64))) (sqrt.f64 x)))
#s(approx (- (/ (sqrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (sqrt (pow (- x 1) 2))) (sqrt x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) #s(approx (* (/ (+ (/ -1/8 x) 1/2) x) x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(-.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x) x)) (sqrt.f64 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))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 x x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(approx (- (* 1/4 x) (/ 1/64 x)) (*.f64 #s(literal 1/4 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (*.f64 (neg.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))) x))) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1/64 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (/.f64 (*.f64 x (fma.f64 x (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)) #s(literal 1/16 binary64)) #s(literal -5/128 binary64))) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 x)))
(-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (*.f64 x x)) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 4 binary64)))) x))) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (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))
#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 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 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))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x (*.f64 x (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64))))) (*.f64 x x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (sqrt.f64 x)) (sqrt.f64 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) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (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))
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (*.f64 x x)) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 4 binary64)))) x))) (sqrt.f64 x)))
Calls

2 calls:

8.0ms
x
6.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
99.3%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
99.3%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes33.0ms (0.5%)

Memory
-18.1MiB live, 28.9MiB allocated; 1ms collecting garbage
Counts
24 → 1
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (neg (sqrt x))) #s(approx (+ (sqrt x) 1) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (neg (sqrt x))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) #s(literal 1/2 binary64)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) #s(approx (* (/ (+ (/ -1/8 x) 1/2) x) x) #s(literal 1/2 binary64))) (sqrt.f64 x)))
#s(approx (- (/ (sqrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (sqrt (pow (- x 1) 2))) (sqrt x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) #s(approx (* (/ (+ (/ -1/8 x) 1/2) x) x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(-.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x) x)) (sqrt.f64 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))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 x x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(approx (- (* 1/4 x) (/ 1/64 x)) (*.f64 #s(literal 1/4 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (*.f64 (neg.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))) x))) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1/64 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (/.f64 (*.f64 x (fma.f64 x (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)) #s(literal 1/16 binary64)) #s(literal -5/128 binary64))) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 x)))
(-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 x))
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (*.f64 (neg.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))) x))) (sqrt.f64 x)))
Calls

2 calls:

27.0ms
x
5.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
99.1%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
99.1%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes15.0ms (0.2%)

Memory
-17.4MiB live, 35.2MiB allocated; 6ms collecting garbage
Counts
20 → 1
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (neg (sqrt x))) #s(approx (+ (sqrt x) 1) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (neg (sqrt x))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) #s(literal 1/2 binary64)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) #s(approx (* (/ (+ (/ -1/8 x) 1/2) x) x) #s(literal 1/2 binary64))) (sqrt.f64 x)))
#s(approx (- (/ (sqrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (sqrt (pow (- x 1) 2))) (sqrt x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) #s(approx (* (/ (+ (/ -1/8 x) 1/2) x) x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(-.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x) x)) (sqrt.f64 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))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 x x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(approx (- (* 1/4 x) (/ 1/64 x)) (*.f64 #s(literal 1/4 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) #s(approx (* (/ (+ (/ -1/8 x) 1/2) x) x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))) (sqrt.f64 x)))
Calls

2 calls:

8.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
6.0ms
x
Results
AccuracySegmentsBranch
98.9%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
98.9%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes7.0ms (0.1%)

Memory
30.5MiB live, 30.5MiB allocated; 0ms collecting garbage
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (neg (sqrt x))) #s(approx (+ (sqrt x) 1) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (neg (sqrt x))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) #s(literal 1/2 binary64)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) #s(approx (* (/ (+ (/ -1/8 x) 1/2) x) x) #s(literal 1/2 binary64))) (sqrt.f64 x)))
#s(approx (- (/ (sqrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (sqrt (pow (- x 1) 2))) (sqrt x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
Calls

2 calls:

4.0ms
x
3.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
97.4%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
97.4%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes9.0ms (0.1%)

Memory
-25.0MiB live, 19.8MiB allocated; 4ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (neg (sqrt x))) #s(approx (+ (sqrt x) 1) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (neg (sqrt x))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) #s(literal 1/2 binary64)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) #s(approx (* (/ (+ (/ -1/8 x) 1/2) x) x) #s(literal 1/2 binary64))) (sqrt.f64 x)))
#s(approx (- (/ (sqrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (sqrt (pow (- x 1) 2))) (sqrt x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x))
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) #s(literal 1/2 binary64)) (sqrt.f64 x)))
Calls

2 calls:

6.0ms
x
2.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
97.3%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
97.3%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.1%)

Memory
17.6MiB live, 17.6MiB allocated; 0ms collecting garbage
Accuracy

Total -2.4b remaining (-3.9%)

Threshold costs -2.4b (-3.9%)

Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (neg (sqrt x))) #s(approx (+ (sqrt x) 1) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (neg (sqrt x))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
Outputs
#s(approx (- (sqrt (+ x 1)) (neg (sqrt x))) #s(approx (+ (sqrt x) 1) (sqrt.f64 x)))
Calls

2 calls:

2.0ms
x
2.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
5.3%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
5.3%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify55.0ms (0.8%)

Memory
-5.6MiB live, 83.4MiB allocated; 8ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
070223
1112223
2208221
3447211
4948203
51944203
66754203
Stop Event
1×node limit
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (*.f64 x x)) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 4 binary64)))) x))) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (*.f64 (neg.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))) x))) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) #s(approx (* (/ (+ (/ -1/8 x) 1/2) x) x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) #s(literal 1/2 binary64)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (neg (sqrt x))) #s(approx (+ (sqrt x) 1) (sqrt.f64 x)))
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (*.f64 x x)) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 4 binary64)))) x))) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (*.f64 (neg.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))) x))) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) (*.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) x))) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) #s(approx (* (/ (+ (/ -1/8 x) 1/2) x) x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* -5/128 (pow x -5/2)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ -1/8 (sqrt x))))) (sqrt x)) #s(literal 1/2 binary64)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (neg (sqrt x))) #s(approx (+ (sqrt x) 1) (sqrt.f64 x)))

derivations857.0ms (13%)

Memory
16.6MiB live, 734.9MiB allocated; 77ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113451
1331393
21209387
34903387
08229353
03782004
112651687
255781662
083581549
045247
078177
1305162
22186153
09087150
03521720
111311471
247011451
082461352
Stop Event
1×fuel
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
Compiler

Compiled 223 to 73 computations (67.3% saved)

preprocess64.0ms (1%)

Memory
-8.3MiB live, 83.6MiB allocated; 19ms collecting garbage
Compiler

Compiled 470 to 168 computations (64.3% saved)

end0.0ms (0%)

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

Profiling

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