sqrt times

Time bar (total: 3.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze2.0ms (0.1%)

Memory
2.5MiB live, 2.5MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%50%0%0%50%0%2
50%25%25%0%0%50%0%3
66.7%25%12.5%0%0%62.5%0%4
80%25%6.2%0%0%68.7%0%5
88.9%25%3.1%0%0%71.8%0%6
94.1%25%1.6%0%0%73.4%0%7
97%25%0.8%0%0%74.2%0%8
98.5%25%0.4%0%0%74.6%0%9
99.2%25%0.2%0%0%74.8%0%10
99.6%25%0.1%0%0%74.9%0%11
99.8%25%0%0%0%74.9%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample678.0ms (21.8%)

Memory
13.6MiB live, 776.2MiB allocated
Samples
403.0ms8 246×0valid
1.0ms10×1valid
1.0ms14×0invalid
Precisions
Click to see histograms. Total time spent on operations: 245.0ms
ival-sqrt: 117.0ms (47.8% of total)
ival-mult: 59.0ms (24.1% of total)
ival-sub: 54.0ms (22.1% of total)
ival-true: 6.0ms (2.5% of total)
exact: 5.0ms (2% of total)
ival-assert: 3.0ms (1.2% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain155.0ms (5%)

Memory
13.7MiB live, 174.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
00-0-(sqrt.f64 (-.f64 x #s(literal 1 binary64)))
00-0-(sqrt.f64 x)
00-0-(-.f64 x #s(literal 1 binary64))
00-0-#s(literal 1 binary64)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
33.0ms510×0valid
0.0ms2×1valid
Compiler

Compiled 83 to 40 computations (51.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-sqrt: 9.0ms (48.9% of total)
ival-mult: 4.0ms (21.7% of total)
ival-sub: 4.0ms (21.7% of total)
ival-true: 1.0ms (5.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess13.0ms (0.4%)

Memory
19.1MiB live, 19.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
12219
23817
35917
47717
59717
611617
713117
813217
067
0107
1167
2177
0177
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 x) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.2%
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify18.0ms (0.6%)

Memory
-36.1MiB live, 2.5MiB allocated
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
11618
21718
01718
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 x) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(sqrt.f64 (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(sqrt.f64 x)

localize18.0ms (0.6%)

Memory
26.7MiB live, 26.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 x #s(literal 1 binary64))
accuracy0
(sqrt.f64 (-.f64 x #s(literal 1 binary64)))
accuracy0
(sqrt.f64 x)
accuracy0.484375
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Samples
13.0ms255×0valid
0.0ms1×1valid
Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sqrt: 3.0ms (43.5% of total)
ival-mult: 2.0ms (29% of total)
ival-sub: 2.0ms (29% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series5.0ms (0.2%)

Memory
7.1MiB live, 7.1MiB allocated
Counts
4 → 28
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
(* (sqrt x) (sqrt -1))
(+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 5)))))))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
-1
(- x 1)
(sqrt x)
x
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))
(* x (- 1 (/ 1 x)))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/8 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (sqrt -1) 2)) (* -1/16 (/ (pow (sqrt -1) 2) x))) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* x (- (/ 1 x) 1)))
Calls

3 calls:

TimeVariablePointExpression
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))
1.0ms
x
@inf
((* (sqrt (- x 1)) (sqrt x)) (sqrt (- x 1)) (- x 1) (sqrt x))

simplify350.0ms (11.2%)

Memory
-49.8MiB live, 126.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0150448
1442387
21561366
34077348
08270324
Stop Event
1×iter limit
1×node limit
Counts
28 → 27
Calls
Call 1
Inputs
(* (sqrt x) (sqrt -1))
(+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 5)))))))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
-1
(- x 1)
(sqrt x)
x
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))
(* x (- 1 (/ 1 x)))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/8 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (sqrt -1) 2)) (* -1/16 (/ (pow (sqrt -1) 2) x))) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* x (- (/ 1 x) 1)))
Outputs
(* (sqrt x) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 5)))))))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 x x))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x (sqrt.f64 #s(literal -1 binary64)))
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x (sqrt.f64 #s(literal -1 binary64)))
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64)))) x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x (sqrt.f64 #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(sqrt x)
(sqrt.f64 x)
x
(* x (- 1 (* 1/2 (/ 1 x))))
(-.f64 x #s(literal 1/2 binary64))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))
(-.f64 x (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1/2 binary64)))
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))
(*.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)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 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)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))
(*.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 #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)
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (pow (sqrt -1) 2)))
x
(* -1 (* x (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (pow (sqrt -1) 2))))
(-.f64 x #s(literal 1/2 binary64))
(* -1 (* x (+ (* -1 (/ (+ (* 1/8 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))))
(-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (sqrt -1) 2)) (* -1/16 (/ (pow (sqrt -1) 2) x))) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))))
(-.f64 x (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1/2 binary64)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 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) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))

rewrite176.0ms (5.6%)

Memory
26.1MiB live, 180.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
01015
13415
216115
3138815
0839315
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 368
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 (sqrt.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) x) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (sqrt.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
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(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (neg.f64 x)))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (neg.f64 x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (neg.f64 x)))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (neg.f64 x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (neg.f64 x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (neg.f64 x)))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (neg.f64 x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (neg.f64 x)))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (neg.f64 x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (neg.f64 x)))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (neg.f64 x))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (neg.f64 x)))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (neg.f64 x))) #s(literal -1 binary64)))
(-.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(-.f64 x #s(literal 1 binary64))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (-.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (neg.f64 x)))) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (neg.f64 x))) #s(literal -1 binary64))))
(+.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) x)
(+.f64 x #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/4 binary64) (*.f64 (log.f64 x) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/4 binary64))) #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 x) #s(literal 1/2 binary64)))

eval49.0ms (1.6%)

Memory
-7.1MiB live, 114.5MiB allocated
Compiler

Compiled 8 819 to 1 550 computations (82.4% saved)

prune5.0ms (0.2%)

Memory
22.4MiB live, 22.4MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New3864390
Fresh000
Picked101
Done000
Total3874391
Accuracy
100.0%
Counts
391 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶53.2%
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
▶99.0%
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x))))
▶98.7%
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x #s(literal 1/2 binary64)))
▶97.8%
#s(approx (* (sqrt (- x 1)) (sqrt x)) x)
Compiler

Compiled 41 to 33 computations (19.5% saved)

simplify26.0ms (0.8%)

Memory
-28.4MiB live, 10.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
cost-diff0
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
cost-diff0
(/.f64 #s(literal -1/8 binary64) x)
cost-diff0
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x))
cost-diff0
(-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)))
cost-diff0
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x))))
cost-diff0
(-.f64 x #s(literal 1/2 binary64))
cost-diff0
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x #s(literal 1/2 binary64)))
cost-diff0
#s(approx (* (sqrt (- x 1)) (sqrt x)) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01875
02575
14075
26475
311075
418975
537275
659875
765075
865275
065275
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) x)
x
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x #s(literal 1/2 binary64)))
(-.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x))))
(-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)))
x
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x))
#s(literal 1/2 binary64)
(/.f64 #s(literal -1/8 binary64) x)
#s(literal -1/8 binary64)
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
Outputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) x)
x
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x #s(literal 1/2 binary64)))
(-.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x))))
(-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)))
x
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x))
#s(literal 1/2 binary64)
(/.f64 #s(literal -1/8 binary64) x)
#s(literal -1/8 binary64)
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)

localize41.0ms (1.3%)

Memory
3.5MiB live, 76.8MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 x #s(literal 1 binary64))
accuracy0.00390625
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
accuracy29.979158988410205
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
accuracy0
(/.f64 #s(literal -1/8 binary64) x)
accuracy0
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x))
accuracy0.0078125
(-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)))
accuracy0.6641693426904643
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x))))
accuracy0
(-.f64 x #s(literal 1/2 binary64))
accuracy0.8016183294319066
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x #s(literal 1/2 binary64)))
accuracy1.3929527772158963
#s(approx (* (sqrt (- x 1)) (sqrt x)) x)
Samples
28.0ms255×0valid
0.0ms1×1valid
Compiler

Compiled 138 to 35 computations (74.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-div: 5.0ms (27.7% of total)
ival-sub: 5.0ms (27.7% of total)
ival-sqrt: 5.0ms (27.7% of total)
ival-mult: 3.0ms (16.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
17.1MiB live, 17.1MiB allocated
Counts
10 → 34
Calls
Call 1
Inputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) x)
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x #s(literal 1/2 binary64)))
(-.f64 x #s(literal 1/2 binary64))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x))))
(-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x))
(/.f64 #s(literal -1/8 binary64) x)
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(-.f64 x #s(literal 1 binary64))
Outputs
(* (sqrt x) (sqrt -1))
(+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 5)))))))))
-1/2
(- x 1/2)
(/ -1/8 x)
(/ (- (* -1/2 x) 1/8) x)
(/ (- (* x (- x 1/2)) 1/8) x)
(/ 1/8 x)
(/ (+ 1/8 (* 1/2 x)) x)
(* -1 x)
(* x (- x 1))
-1
(- x 1)
x
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))
1/2
(+ 1/2 (* 1/8 (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/8 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (sqrt -1) 2)) (* -1/16 (/ (pow (sqrt -1) 2) x))) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))
(* -1 (* x (- 1 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (+ (/ 1/16 (pow x 2)) (* 1/8 (/ 1 x)))) x)))))
(* -1 (* x (- (/ 1 x) 1)))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
((* (sqrt (- x 1)) (sqrt x)) (* (sqrt (- x 1)) (sqrt x)) (- x 1/2) (* (sqrt (- x 1)) (sqrt x)) (- x (- 1/2 (/ -1/8 x))) (- 1/2 (/ -1/8 x)) (/ -1/8 x) (sqrt (* (- x 1) x)) (* (- x 1) x) (- x 1))
1.0ms
x
@-inf
((* (sqrt (- x 1)) (sqrt x)) (* (sqrt (- x 1)) (sqrt x)) (- x 1/2) (* (sqrt (- x 1)) (sqrt x)) (- x (- 1/2 (/ -1/8 x))) (- 1/2 (/ -1/8 x)) (/ -1/8 x) (sqrt (* (- x 1) x)) (* (- x 1) x) (- x 1))
1.0ms
x
@inf
((* (sqrt (- x 1)) (sqrt x)) (* (sqrt (- x 1)) (sqrt x)) (- x 1/2) (* (sqrt (- x 1)) (sqrt x)) (- x (- 1/2 (/ -1/8 x))) (- 1/2 (/ -1/8 x)) (/ -1/8 x) (sqrt (* (- x 1) x)) (* (- x 1) x) (- x 1))

simplify150.0ms (4.8%)

Memory
-14.1MiB live, 142.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0128288
1352272
21170245
34750228
08140221
Stop Event
1×iter limit
1×node limit
Counts
34 → 33
Calls
Call 1
Inputs
(* (sqrt x) (sqrt -1))
(+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 5)))))))))
-1/2
(- x 1/2)
(/ -1/8 x)
(/ (- (* -1/2 x) 1/8) x)
(/ (- (* x (- x 1/2)) 1/8) x)
(/ 1/8 x)
(/ (+ 1/8 (* 1/2 x)) x)
(* -1 x)
(* x (- x 1))
-1
(- x 1)
x
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))
1/2
(+ 1/2 (* 1/8 (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/8 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (sqrt -1) 2)) (* -1/16 (/ (pow (sqrt -1) 2) x))) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))
(* -1 (* x (- 1 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (+ (/ 1/16 (pow x 2)) (* 1/8 (/ 1 x)))) x)))))
(* -1 (* x (- (/ 1 x) 1)))
Outputs
(* (sqrt x) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 5)))))))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 x x))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
-1/2
#s(literal -1/2 binary64)
(- x 1/2)
(-.f64 x #s(literal 1/2 binary64))
(/ -1/8 x)
(/.f64 #s(literal -1/8 binary64) x)
(/ (- (* -1/2 x) 1/8) x)
(-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))
(/ (- (* x (- x 1/2)) 1/8) x)
(-.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) x) x) #s(literal 1/2 binary64))
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ (+ 1/8 (* 1/2 x)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/8 binary64)) x)
(* -1 x)
(neg.f64 x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
x
(* x (- 1 (* 1/2 (/ 1 x))))
(-.f64 x #s(literal 1/2 binary64))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(-.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) x) x) #s(literal 1/2 binary64))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))
(-.f64 x (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1/2 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))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (pow (sqrt -1) 2)))
x
(* -1 (* x (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (pow (sqrt -1) 2))))
(-.f64 x #s(literal 1/2 binary64))
(* -1 (* x (+ (* -1 (/ (+ (* 1/8 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))))
(-.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) x) x) #s(literal 1/2 binary64))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (sqrt -1) 2)) (* -1/16 (/ (pow (sqrt -1) 2) x))) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))))
(-.f64 x (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1/2 binary64)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/2 binary64))
(* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))
(-.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) x) x) #s(literal 1/2 binary64))
(* -1 (* x (- 1 (* 1/2 (/ 1 x)))))
(-.f64 #s(literal 1/2 binary64) x)
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x)))))
(-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (+ (/ 1/16 (pow x 2)) (* 1/8 (/ 1 x)))) x)))))
(-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1/2 binary64)) x)
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))

rewrite294.0ms (9.4%)

Memory
2.3MiB live, 215.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01867
02564
19564
269464
0847264
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
10 → 519
Calls
Call 1
Inputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) x)
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x #s(literal 1/2 binary64)))
(-.f64 x #s(literal 1/2 binary64))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x))))
(-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x))
(/.f64 #s(literal -1/8 binary64) x)
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(-.f64 x #s(literal 1 binary64))
Outputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) x)
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/4 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 x x (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 x x #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/4 binary64)) (fma.f64 x x #s(literal -1/4 binary64))) (-.f64 x #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(*.f64 (fma.f64 (neg.f64 x) x #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal -1/2 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64))))))
(*.f64 (fma.f64 x x #s(literal -1/4 binary64)) (pow.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1/2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1/4 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64)) (pow.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64)) (pow.f64 (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64))) #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/512 binary64)) (pow.f64 (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64))) #s(literal -1 binary64))) (+.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/64 binary64)) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1/4 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/2 binary64)))) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/2 binary64))))) (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 x #s(literal -1/2 binary64))))) (fma.f64 x (/.f64 x (-.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 x #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64))))) (*.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64)))))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2 binary64) x))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/2 binary64)))) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/2 binary64)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 x #s(literal -1/2 binary64))) (*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (-.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64))))))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1/4 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (neg.f64 (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal -1/2 binary64))) (*.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (-.f64 x #s(literal -1/2 binary64)) (-.f64 x #s(literal -1/2 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64)))) (*.f64 (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64))) #s(literal 1/8 binary64))) (*.f64 (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64))) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (-.f64 x #s(literal -1/2 binary64)) (fma.f64 x x #s(literal 1/4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64)) (*.f64 (-.f64 x #s(literal -1/2 binary64)) (+.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) x))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64)) (*.f64 (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/512 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) x))) (+.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/64 binary64)) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/512 binary64)) (*.f64 (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64))) (+.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/64 binary64)) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 (fma.f64 (neg.f64 x) x #s(literal 1/4 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1/2 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1/4 binary64)) (-.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 x x (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1/4 binary64)) (-.f64 x #s(literal -1/2 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64)))))
(neg.f64 (/.f64 (fma.f64 x x #s(literal -1/4 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1/2 binary64))))
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 x x #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64))))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 x x (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 x #s(literal -1/2 binary64)))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1/4 binary64))) (-.f64 x #s(literal 1/2 binary64)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 x #s(literal -1/2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64)))) (neg.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64))))))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64)))) (neg.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64))))))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 x #s(literal -1/2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64))))))
(fma.f64 #s(literal 1 binary64) x #s(literal -1/2 binary64))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64)))) (neg.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64))))))
(fma.f64 x (/.f64 x (-.f64 x #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 x #s(literal -1/2 binary64)))))
(fma.f64 x #s(literal 1 binary64) #s(literal -1/2 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 x x (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (-.f64 x #s(literal -1/2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64)))))
(-.f64 x #s(literal 1/2 binary64))
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/2 binary64)))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 x #s(literal -1/2 binary64)))))
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(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x)) (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) (fma.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))) (*.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x) (fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (fma.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (*.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(neg.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x (neg.f64 (pow.f64 (-.f64 x #s(literal -1 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 x x (-.f64 x #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(fma.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))
(-.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(-.f64 x #s(literal 1 binary64))
(+.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) x)
(+.f64 x #s(literal -1 binary64))

eval79.0ms (2.5%)

Memory
28.5MiB live, 137.1MiB allocated
Compiler

Compiled 14 779 to 2 035 computations (86.2% saved)

prune13.0ms (0.4%)

Memory
-15.3MiB live, 29.5MiB allocated
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New5411542
Fresh000
Picked134
Done000
Total5424546
Accuracy
100.0%
Counts
546 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓53.2%
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
▶99.0%
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1/2 binary64)))
✓98.7%
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x #s(literal 1/2 binary64)))
✓97.8%
#s(approx (* (sqrt (- x 1)) (sqrt x)) x)
Compiler

Compiled 41 to 33 computations (19.5% saved)

simplify14.0ms (0.5%)

Memory
-15.8MiB live, 22.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1/8 binary64) x)
cost-diff0
(-.f64 x (/.f64 #s(literal 1/8 binary64) x))
cost-diff0
(-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1/2 binary64))
cost-diff0
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1/2 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01233
01533
12833
24733
37233
410933
517233
623833
731633
837633
940633
1041033
041033
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1/2 binary64)))
(-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1/2 binary64))
(-.f64 x (/.f64 #s(literal 1/8 binary64) x))
x
(/.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)
Outputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1/2 binary64)))
(-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1/2 binary64))
(-.f64 x (/.f64 #s(literal 1/8 binary64) x))
x
(/.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)

localize25.0ms (0.8%)

Memory
17.8MiB live, 55.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 #s(literal 1/8 binary64) x)
accuracy0
(-.f64 x (/.f64 #s(literal 1/8 binary64) x))
accuracy0.00390625
(-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1/2 binary64))
accuracy0.6641693426904643
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1/2 binary64)))
Samples
19.0ms255×0valid
0.0ms1×1valid
Compiler

Compiled 60 to 25 computations (58.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sub: 5.0ms (39.4% of total)
ival-sqrt: 4.0ms (31.5% of total)
ival-div: 2.0ms (15.8% of total)
ival-mult: 1.0ms (7.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory
3.9MiB live, 3.9MiB allocated
Counts
4 → 21
Calls
Call 1
Inputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1/2 binary64)))
(-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1/2 binary64))
(-.f64 x (/.f64 #s(literal 1/8 binary64) x))
(/.f64 #s(literal 1/8 binary64) x)
Outputs
(* (sqrt x) (sqrt -1))
(+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 5)))))))))
(/ -1/8 x)
(/ (- (* -1/2 x) 1/8) x)
(/ (- (* x (- x 1/2)) 1/8) x)
(/ (- (pow x 2) 1/8) x)
(/ 1/8 x)
x
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))
(* x (- 1 (* 1/8 (/ 1 (pow x 2)))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/8 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (sqrt -1) 2)) (* -1/16 (/ (pow (sqrt -1) 2) x))) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))
(* -1 (* x (- (* 1/8 (/ 1 (pow x 2))) 1)))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
((* (sqrt (- x 1)) (sqrt x)) (- (- x (/ 1/8 x)) 1/2) (- x (/ 1/8 x)) (/ 1/8 x))
0.0ms
x
@-inf
((* (sqrt (- x 1)) (sqrt x)) (- (- x (/ 1/8 x)) 1/2) (- x (/ 1/8 x)) (/ 1/8 x))
0.0ms
x
@inf
((* (sqrt (- x 1)) (sqrt x)) (- (- x (/ 1/8 x)) 1/2) (- x (/ 1/8 x)) (/ 1/8 x))

simplify159.0ms (5.1%)

Memory
3.4MiB live, 194.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115252
1317235
21020203
34109189
08203181
Stop Event
1×iter limit
1×node limit
Counts
21 → 20
Calls
Call 1
Inputs
(* (sqrt x) (sqrt -1))
(+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 5)))))))))
(/ -1/8 x)
(/ (- (* -1/2 x) 1/8) x)
(/ (- (* x (- x 1/2)) 1/8) x)
(/ (- (pow x 2) 1/8) x)
(/ 1/8 x)
x
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))
(* x (- 1 (* 1/8 (/ 1 (pow x 2)))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/8 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (sqrt -1) 2)) (* -1/16 (/ (pow (sqrt -1) 2) x))) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))
(* -1 (* x (- (* 1/8 (/ 1 (pow x 2))) 1)))
Outputs
(* (sqrt x) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 5)))))))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 x x))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 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))
(/ (- (* x (- x 1/2)) 1/8) x)
(-.f64 (/.f64 #s(literal -1/8 binary64) x) (-.f64 #s(literal 1/2 binary64) x))
(/ (- (pow x 2) 1/8) x)
(-.f64 x (/.f64 #s(literal 1/8 binary64) x))
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
x
(* x (- 1 (* 1/2 (/ 1 x))))
(-.f64 x #s(literal 1/2 binary64))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(-.f64 x (+.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))
(-.f64 x (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1/2 binary64)))
(* x (- 1 (* 1/8 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) x x)
(* -1 (* x (pow (sqrt -1) 2)))
x
(* -1 (* x (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (pow (sqrt -1) 2))))
(-.f64 x #s(literal 1/2 binary64))
(* -1 (* x (+ (* -1 (/ (+ (* 1/8 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))))
(-.f64 x (+.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (sqrt -1) 2)) (* -1/16 (/ (pow (sqrt -1) 2) x))) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))))
(-.f64 x (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1/2 binary64)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/2 binary64))
(* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))
(-.f64 x (+.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)))
(* -1 (* x (- (* 1/8 (/ 1 (pow x 2))) 1)))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) x x)

rewrite235.0ms (7.5%)

Memory
-9.5MiB live, 204.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01230
01529
17629
255529
3623229
0846829
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 230
Calls
Call 1
Inputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1/2 binary64)))
(-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1/2 binary64))
(-.f64 x (/.f64 #s(literal 1/8 binary64) x))
(/.f64 #s(literal 1/8 binary64) x)
Outputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 x (/.f64 #s(literal 1/8 binary64) x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (-.f64 (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 6 binary64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1/4 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64))) (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) #s(literal 2 binary64))) (pow.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) (+.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)))) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (neg.f64 (-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (pow.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) (+.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64))))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (-.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (-.f64 x (/.f64 #s(literal 1/8 binary64) x)))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) (+.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x) (-.f64 (*.f64 x x) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (-.f64 x (/.f64 #s(literal 1/8 binary64) x)))) (-.f64 (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (+.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 6 binary64)) #s(literal 1/64 binary64)) (pow.f64 (-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 6 binary64)) #s(literal 1/64 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) (+.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)))) #s(literal -1 binary64))) (+.f64 (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 9 binary64)) #s(literal 1/512 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) (+.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)))) #s(literal -1 binary64))) (+.f64 (fma.f64 (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/64 binary64)) (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 6 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) (+.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)) (-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)) (-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal -1/2 binary64)))) (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal -1/2 binary64))))) (+.f64 (/.f64 (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)) (-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) (+.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) (+.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)))))) (*.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) (+.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) (+.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64))))))) (+.f64 (/.f64 (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) (+.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) (+.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (-.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 x (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) (-.f64 x (/.f64 #s(literal 1/8 binary64) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)) (-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)) (-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)) (-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal -1/2 binary64))) (*.f64 (/.f64 (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)) (-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) (+.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) (+.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) (+.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) (+.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64))))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) (+.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) (+.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) (+.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) (+.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)))))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (-.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 x (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)))
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(/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal -2 binary64)) (*.f64 x x)) (-.f64 x (/.f64 #s(literal -1/8 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal -1 binary64))))
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(/.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 x (/.f64 #s(literal -1/8 binary64) x)) (/.f64 #s(literal 1/8 binary64) x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal -1 binary64)))
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(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 x (/.f64 #s(literal -1/8 binary64) x)) (/.f64 #s(literal 1/8 binary64) x) (*.f64 x x))))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal -2 binary64)) (*.f64 x x)) (fma.f64 #s(literal -1 binary64) x (/.f64 #s(literal -1/8 binary64) x))))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 x (/.f64 #s(literal -1/8 binary64) x)) (/.f64 #s(literal 1/8 binary64) x) (*.f64 x x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x (/.f64 #s(literal -1/8 binary64) x)) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)))) (fma.f64 x x (*.f64 (/.f64 #s(literal -1/8 binary64) x) (-.f64 x (/.f64 #s(literal -1/8 binary64) x)))) (neg.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 3 binary64)) (fma.f64 (-.f64 x (/.f64 #s(literal -1/8 binary64) x)) (/.f64 #s(literal 1/8 binary64) x) (*.f64 x x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 x (/.f64 #s(literal -1/8 binary64) x)) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 x (/.f64 #s(literal -1/8 binary64) x)) (/.f64 #s(literal 1/8 binary64) x)) (-.f64 (*.f64 (-.f64 x (/.f64 #s(literal -1/8 binary64) x)) (/.f64 #s(literal 1/8 binary64) x)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 3 binary64)) (fma.f64 (-.f64 x (/.f64 #s(literal -1/8 binary64) x)) (/.f64 #s(literal 1/8 binary64) x) (*.f64 x x)))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) x) (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) (*.f64 x x)) (neg.f64 (/.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 (-.f64 x (/.f64 #s(literal -1/8 binary64) x)) x))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal -2 binary64)) (*.f64 x x))) (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) (neg.f64 (/.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 (-.f64 x (/.f64 #s(literal -1/8 binary64) x)) x))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (-.f64 x (/.f64 #s(literal -1/8 binary64) x)) (/.f64 #s(literal 1/8 binary64) x) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 3 binary64)) (fma.f64 (-.f64 x (/.f64 #s(literal -1/8 binary64) x)) (/.f64 #s(literal 1/8 binary64) x) (*.f64 x x)))))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/8 binary64) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (/.f64 #s(literal -1/8 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/8 binary64) x) x)
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(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x (/.f64 #s(literal -1/8 binary64) x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 (-.f64 x (/.f64 #s(literal -1/8 binary64) x)) x))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 x (/.f64 #s(literal -1/8 binary64) x)) (/.f64 #s(literal 1/8 binary64) x) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 3 binary64)) (fma.f64 (-.f64 x (/.f64 #s(literal -1/8 binary64) x)) (/.f64 #s(literal 1/8 binary64) x) (*.f64 x x)))))
(fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1 binary64)) x)
(fma.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1 binary64) x)
(fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1 binary64) x) x)
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) x) x)
(fma.f64 #s(literal 1 binary64) x (/.f64 #s(literal -1/8 binary64) x))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (-.f64 x (/.f64 #s(literal -1/8 binary64) x)) (/.f64 #s(literal 1/8 binary64) x) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 3 binary64)) (fma.f64 (-.f64 x (/.f64 #s(literal -1/8 binary64) x)) (/.f64 #s(literal 1/8 binary64) x) (*.f64 x x)))))
(fma.f64 x (/.f64 x (-.f64 x (/.f64 #s(literal -1/8 binary64) x))) (neg.f64 (/.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 (-.f64 x (/.f64 #s(literal -1/8 binary64) x)) x))))
(fma.f64 x #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) x))
(-.f64 (+.f64 x #s(literal 0 binary64)) (/.f64 #s(literal 1/8 binary64) x))
(-.f64 (*.f64 x (/.f64 x (-.f64 x (/.f64 #s(literal -1/8 binary64) x)))) (/.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 (-.f64 x (/.f64 #s(literal -1/8 binary64) x)) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x (/.f64 #s(literal -1/8 binary64) x)) (/.f64 #s(literal 1/8 binary64) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 3 binary64)) (fma.f64 (-.f64 x (/.f64 #s(literal -1/8 binary64) x)) (/.f64 #s(literal 1/8 binary64) x) (*.f64 x x))))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1/8 binary64) x) x))
(-.f64 x (/.f64 #s(literal 1/8 binary64) x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)))) #s(literal -1 binary64)))
(+.f64 (*.f64 x (/.f64 x (-.f64 x (/.f64 #s(literal -1/8 binary64) x)))) (neg.f64 (/.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 (-.f64 x (/.f64 #s(literal -1/8 binary64) x)) x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x (/.f64 #s(literal -1/8 binary64) x)) (/.f64 #s(literal 1/8 binary64) x) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 3 binary64)) (fma.f64 (-.f64 x (/.f64 #s(literal -1/8 binary64) x)) (/.f64 #s(literal 1/8 binary64) x) (*.f64 x x)))))
(+.f64 (/.f64 #s(literal -1/8 binary64) x) x)
(+.f64 x (/.f64 #s(literal -1/8 binary64) x))
(*.f64 (pow.f64 (*.f64 #s(literal 8 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 8 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/8 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/8 binary64) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/8 binary64))
(*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) x))
(pow.f64 (*.f64 #s(literal 8 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -8 binary64)))
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 8 binary64))
(/.f64 #s(literal -1/8 binary64) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1/8 binary64) x)
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) x))
(neg.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1/8 binary64) x))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/8 binary64) x))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 8 binary64) x)) #s(literal -1 binary64)))

eval52.0ms (1.7%)

Memory
-9.9MiB live, 60.6MiB allocated
Compiler

Compiled 8 233 to 961 computations (88.3% saved)

prune5.0ms (0.2%)

Memory
15.0MiB live, 15.0MiB allocated
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New2460246
Fresh000
Picked011
Done033
Total2464250
Accuracy
100.0%
Counts
250 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓53.2%
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
✓99.0%
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1/2 binary64)))
✓98.7%
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x #s(literal 1/2 binary64)))
✓97.8%
#s(approx (* (sqrt (- x 1)) (sqrt x)) x)
Compiler

Compiled 104 to 60 computations (42.3% saved)

regimes5.0ms (0.2%)

Memory
8.8MiB live, 8.8MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) x)
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x #s(literal 1/2 binary64)))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(*.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))
Calls

2 calls:

3.0ms
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
2.0ms
x
Results
AccuracySegmentsBranch
99.2%1x
99.2%1(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.2%)

Memory
8.1MiB live, 8.1MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) x)
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x #s(literal 1/2 binary64)))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
Outputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1/2 binary64)))
Calls

2 calls:

2.0ms
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
2.0ms
x
Results
AccuracySegmentsBranch
99.0%1x
99.0%1(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes15.0ms (0.5%)

Memory
-30.1MiB live, 6.8MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) x)
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x #s(literal 1/2 binary64)))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x))))
Outputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x))))
Calls

2 calls:

13.0ms
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
2.0ms
x
Results
AccuracySegmentsBranch
99.0%1x
99.0%1(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory
6.9MiB live, 6.9MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) x)
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x #s(literal 1/2 binary64)))
Outputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x #s(literal 1/2 binary64)))
Calls

2 calls:

2.0ms
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
1.0ms
x
Results
AccuracySegmentsBranch
98.7%1x
98.7%1(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory
6.3MiB live, 6.3MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) x)
Outputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) x)
Calls

2 calls:

1.0ms
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
1.0ms
x
Results
AccuracySegmentsBranch
97.8%1x
97.8%1(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify32.0ms (1%)

Memory
-26.6MiB live, 64.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02457
13957
26557
39657
414857
522757
628857
734157
840557
943957
1045057
1145157
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1/2 binary64)))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x #s(literal 1/2 binary64)))
#s(approx (* (sqrt (- x 1)) (sqrt x)) x)
Outputs
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1/2 binary64)))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x #s(literal 1/2 binary64)))
#s(approx (* (sqrt (- x 1)) (sqrt x)) x)

soundness428.0ms (13.7%)

Memory
11.3MiB live, 241.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01867
02564
19564
269464
0847264
0150448
1442387
21561366
34077348
08270324
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 73 to 39 computations (46.6% saved)

preprocess53.0ms (1.7%)

Memory
9.4MiB live, 56.9MiB allocated
Compiler

Compiled 128 to 62 computations (51.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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