bug333 (missed optimization)

Time bar (total: 7.8s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
100%50%0%50%0%0%0%1
Compiler

Compiled 17 to 12 computations (29.4% saved)

sample2.2s (28.1%)

Memory
-1.0MiB live, 2 423.4MiB allocated; 441ms collecting garbage
Samples
886.0ms4 840×1valid
822.0ms3 259×2valid
8.0ms157×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
adjust: 497.0ms (35.7% of total)
ival-sqrt: 376.0ms (27% of total)
ival-sub: 246.0ms (17.6% of total)
ival-add: 150.0ms (10.8% of total)
ival-<=: 99.0ms (7.1% of total)
ival-and: 12.0ms (0.9% of total)
exact: 10.0ms (0.7% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain204.0ms (2.6%)

Memory
-15.3MiB live, 178.6MiB allocated; 20ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2540-1(0.05024813183332785)(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
00-0-(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
00-0-(+.f64 #s(literal 1 binary64) x)
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))cancellation2530
Confusion
Predicted +Predicted -
+2531
-02
Precision
1.0
Recall
0.9960629921259843
Confusion?
Predicted +Predicted MaybePredicted -
+25301
-002
Precision?
1.0
Recall?
0.9960629921259843
Freqs
test
numberfreq
03
1253
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
74.0ms226×2valid
61.0ms276×1valid
1.0ms10×0valid
Compiler

Compiled 63 to 25 computations (60.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
adjust: 50.0ms (58.2% of total)
ival-sqrt: 17.0ms (19.8% of total)
ival-sub: 11.0ms (12.8% of total)
ival-add: 6.0ms (7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess12.0ms (0.2%)

Memory
12.7MiB live, 12.7MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
11223
079
0129
1159
0159
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
Outputs
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶8.3%
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify3.0ms (0%)

Memory
6.7MiB live, 6.7MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0725
01225
11525
01525
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
Outputs
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
x
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)

localize57.0ms (0.7%)

Memory
22.7MiB live, 113.5MiB allocated; 16ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 #s(literal 1 binary64) x)
accuracy0.00390625
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
accuracy0.00390625
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
accuracy58.67999789459419
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
Samples
24.0ms113×2valid
18.0ms138×1valid
0.0ms5×0valid
Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
adjust: 14.0ms (43.6% of total)
ival-sqrt: 9.0ms (28% of total)
ival-sub: 5.0ms (15.6% of total)
ival-add: 4.0ms (12.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
-19.2MiB live, 24.7MiB allocated; 11ms collecting garbage
Counts
4 → 37
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
Outputs
x
(* x (+ 1 (* 1/8 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(+ 1 x)
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* -1/8 x) 1/2)))
(+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))
(* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(* x (+ 1 (/ 1 x)))
(* (sqrt x) (sqrt -1))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
Calls

3 calls:

TimeVariablePointExpression
7.0ms
x
@inf
((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (+ 1 x) (sqrt (- 1 x)))
2.0ms
x
@-inf
((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (+ 1 x) (sqrt (- 1 x)))
1.0ms
x
@0
((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (+ 1 x) (sqrt (- 1 x)))

simplify179.0ms (2.3%)

Memory
17.5MiB live, 261.6MiB allocated; 27ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0161946
1517835
22097771
08211721
Stop Event
1×iter limit
1×node limit
Counts
37 → 36
Calls
Call 1
Inputs
x
(* x (+ 1 (* 1/8 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(+ 1 x)
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* -1/8 x) 1/2)))
(+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))
(* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(* x (+ 1 (/ 1 x)))
(* (sqrt x) (sqrt -1))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
Outputs
x
(* x (+ 1 (* 1/8 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 (* -1/2 x))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* -1/8 x) 1/2)))
(fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))
(*.f64 (*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(*.f64 (-.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)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64))) x)
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/8 binary64)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(sqrt x)
(sqrt.f64 x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* (sqrt x) (sqrt -1))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(*.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(*.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(*.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x)
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))))
(*.f64 (neg.f64 x) (*.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (* x (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x)
(* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(*.f64 (+.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))) (neg.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (-.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) x)
(* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
(*.f64 (+.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (fma.f64 (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)))) (neg.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (-.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 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 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (fma.f64 (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 (* (sqrt x) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(*.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal -1 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))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -1 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 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)))))))

rewrite234.0ms (3%)

Memory
16.1MiB live, 236.8MiB allocated; 64ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
01220
14820
232820
3434320
0885120
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 278
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (pow.f64 (-.f64 (+.f64 (expm1.f64 (log1p.f64 x)) x) (sin.f64 (acos.f64 x))) #s(literal 2 binary64))) (-.f64 (+.f64 (expm1.f64 (log1p.f64 x)) x) (sin.f64 (acos.f64 x))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (+.f64 (pow.f64 (-.f64 (sin.f64 (acos.f64 x)) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (-.f64 (sin.f64 (acos.f64 x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (expm1.f64 (log1p.f64 x)) x) (sin.f64 (acos.f64 x))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 (expm1.f64 (log1p.f64 x)) x) (+.f64 (expm1.f64 (log1p.f64 x)) x)) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 (expm1.f64 (log1p.f64 x)) x) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (expm1.f64 (log1p.f64 x)) x) (sin.f64 (acos.f64 x))))
(*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))))
(*.f64 (-.f64 (+.f64 (expm1.f64 (log1p.f64 x)) x) (sin.f64 (acos.f64 x))) (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 (+.f64 (expm1.f64 (log1p.f64 x)) x) (sin.f64 (acos.f64 x)))))
(*.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (-.f64 (+.f64 (expm1.f64 (log1p.f64 x)) x) (sin.f64 (acos.f64 x)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (-.f64 (+.f64 (expm1.f64 (log1p.f64 x)) x) (sin.f64 (acos.f64 x)))) #s(literal 2 binary64))) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (-.f64 (+.f64 (expm1.f64 (log1p.f64 x)) x) (sin.f64 (acos.f64 x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (-.f64 (+.f64 (expm1.f64 (log1p.f64 x)) x) (sin.f64 (acos.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (-.f64 (+.f64 (expm1.f64 (log1p.f64 x)) x) (sin.f64 (acos.f64 x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (-.f64 (+.f64 (expm1.f64 (log1p.f64 x)) x) (sin.f64 (acos.f64 x)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (-.f64 (+.f64 (expm1.f64 (log1p.f64 x)) x) (sin.f64 (acos.f64 x)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (-.f64 (+.f64 (expm1.f64 (log1p.f64 x)) x) (sin.f64 (acos.f64 x))))))))
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (*.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))) (+.f64 (expm1.f64 (log1p.f64 x)) x))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (-.f64 (+.f64 (expm1.f64 (log1p.f64 x)) x) (sin.f64 (acos.f64 x)))) (*.f64 (-.f64 (+.f64 (expm1.f64 (log1p.f64 x)) x) (sin.f64 (acos.f64 x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (pow.f64 (-.f64 (+.f64 (expm1.f64 (log1p.f64 x)) x) (sin.f64 (acos.f64 x))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (sin.f64 (acos.f64 x)))) (*.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x)) (*.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (sin.f64 (acos.f64 (pow.f64 x #s(literal 3/2 binary64)))))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (sin.f64 (acos.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sin.f64 (acos.f64 x)))) (sin.f64 (acos.f64 x)))
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(sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(fabs.f64 (+.f64 x #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)))
(exp.f64 (log1p.f64 x))
(+.f64 (cosh.f64 (*.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 1/2 binary64))))
(+.f64 (cosh.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64))) (sinh.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64))))
(+.f64 (cosh.f64 (log1p.f64 x)) (sinh.f64 (log1p.f64 x)))
(+.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (*.f64 (fma.f64 x x x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (fma.f64 x x x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) x))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x x)))
(+.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
(+.f64 (neg.f64 (pow.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
(+.f64 #s(literal -1 binary64) (neg.f64 x))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (pow.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(+.f64 (neg.f64 x) #s(literal -1 binary64))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(*.f64 (/.f64 (sin.f64 (acos.f64 x)) (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64))))) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x))
(*.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)))
(*.f64 (fabs.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (/.f64 (sin.f64 (acos.f64 x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (sin.f64 (acos.f64 (pow.f64 x #s(literal 3/2 binary64))))) (neg.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x)))
(/.f64 (neg.f64 (sin.f64 (acos.f64 (pow.f64 x #s(literal 3/2 binary64))))) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x))
(/.f64 (fabs.f64 (sin.f64 (acos.f64 x))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (fabs.f64 (sin.f64 (acos.f64 (pow.f64 x #s(literal 3/2 binary64))))) (fabs.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x)))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
(/.f64 (sin.f64 (acos.f64 (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x)))
(/.f64 (sin.f64 (acos.f64 (pow.f64 x #s(literal 3/2 binary64)))) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x))
(/.f64 (sin.f64 (acos.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(fabs.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(exp.f64 (/.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log1p.f64 (neg.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (sinh.f64 (log.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))

eval50.0ms (0.6%)

Memory
-24.2MiB live, 65.4MiB allocated; 14ms collecting garbage
Compiler

Compiled 7 075 to 1 139 computations (83.9% saved)

prune14.0ms (0.2%)

Memory
31.8MiB live, 31.8MiB allocated; 0ms collecting garbage
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New29814312
Fresh000
Picked011
Done000
Total29815313
Accuracy
100.0%
Counts
313 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.3%
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
4.8%
(/.f64 (-.f64 (*.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (sin.f64 (acos.f64 x)))) (*.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
8.3%
(-.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
4.8%
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (sin.f64 (acos.f64 x)) (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64))))) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x)))
▶8.3%
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x)))
✓8.3%
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
7.2%
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
3.5%
(-.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
▶7.7%
(-.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
▶7.5%
(-.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
7.2%
(-.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
▶6.2%
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
4.0%
(+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
▶99.5%
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x))
99.3%
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) x))
Compiler

Compiled 529 to 367 computations (30.6% saved)

simplify169.0ms (2.2%)

Memory
-26.9MiB live, 80.9MiB allocated; 32ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x))
cost-diff0
(+.f64 #s(literal 1 binary64) x)
cost-diff0
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
cost-diff0
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x)))
cost-diff0
(fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64))
cost-diff0
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
cost-diff0
#s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
cost-diff0
(-.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
cost-diff0
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
cost-diff0
#s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
cost-diff0
(-.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
cost-diff0
#s(approx (sqrt (+ 1 x)) #s(literal 1 binary64))
cost-diff0
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
cost-diff0
(fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
cost-diff0
(pow.f64 x #s(literal 3 binary64))
cost-diff0
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x)
cost-diff0
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041306
074306
1121306
2313306
31032306
42819306
53685306
63928306
74071306
84274306
94499306
104930306
115566306
126476306
137327306
08301306
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
#s(literal 7/128 binary64)
(*.f64 x x)
#s(literal 1/8 binary64)
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (sqrt (+ 1 x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
x
(-.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
#s(literal -1/8 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64))
(-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/16 binary64) x)
#s(literal 1/16 binary64)
x
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
Outputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
(fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64))
#s(literal 7/128 binary64)
(*.f64 x x)
#s(literal 1/8 binary64)
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (sqrt (+ 1 x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
x
(-.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
#s(literal -1/8 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64))
(-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/16 binary64) x)
#s(literal 1/16 binary64)
x
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x)))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (sqrt.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
x
(*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x))
(*.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (sqrt.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)

localize298.0ms (3.8%)

Memory
23.4MiB live, 212.7MiB allocated; 14ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
accuracy0.00390625
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
accuracy0.01171875
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
accuracy58.67999789459419
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x)))
accuracy0.0
(*.f64 #s(literal 1/16 binary64) x)
accuracy0.00390625
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
accuracy0.41899874074184745
#s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
accuracy58.67999789459419
(-.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy0.0
(-.f64 #s(literal 1 binary64) x)
accuracy0.00390625
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
accuracy0.5033459327512313
#s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
accuracy58.67999789459419
(-.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy0.0
(-.f64 #s(literal 1 binary64) x)
accuracy0.00390625
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
accuracy1.2698831627513005
#s(approx (sqrt (+ 1 x)) #s(literal 1 binary64))
accuracy58.67999789459419
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy0.0
(fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
accuracy0.0
(pow.f64 x #s(literal 3 binary64))
accuracy0.0
(*.f64 x x)
accuracy0.3500671732261117
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x))
Samples
181.0ms113×2valid
84.0ms139×1valid
1.0ms4×0valid
Compiler

Compiled 285 to 38 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 167.0ms
adjust: 72.0ms (43.1% of total)
ival-sub: 30.0ms (18% of total)
ival-mult: 17.0ms (10.2% of total)
ival-add: 14.0ms (8.4% of total)
ival-sqrt: 13.0ms (7.8% of total)
ival-hypot: 12.0ms (7.2% of total)
ival-pow: 5.0ms (3% of total)
ival-div: 4.0ms (2.4% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series36.0ms (0.5%)

Memory
-36.3MiB live, 9.4MiB allocated; 5ms collecting garbage
Counts
23 → 82
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
(fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (sqrt (+ 1 x)) #s(literal 1 binary64))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
(-.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x))
(*.f64 x x)
(*.f64 #s(literal 1/16 binary64) x)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
Outputs
x
(* x (+ 1 (* 1/8 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))
(pow x 3)
1/8
(+ 1/8 (* 7/128 (pow x 2)))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* -1/8 x) 1/2)))
(+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))
(+ 1 (* -1 x))
1/2
(+ 1/2 (* -1/8 x))
(+ 1/2 (* x (- (* 1/16 x) 1/8)))
(+ 1 x)
(pow x 2)
(* 1/16 x)
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1 x) 1)))
(+ 1 (* (pow x 2) (- (* x (- (pow x 2) 1)) 1)))
(* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* 7/128 (pow x 5))
(* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 7/128 (pow x 2))
(* (pow x 2) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(* (sqrt x) (sqrt -1))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 x)
(* x (- (/ 1 x) 1))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/8))
(* -1/8 x)
(* x (- (* 1/2 (/ 1 x)) 1/8))
(* 1/16 (pow x 3))
(* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))
(* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(* (pow x 3) (- (+ 1/16 (+ (/ 1/2 (pow x 2)) (/ 1 (pow x 3)))) (* 1/8 (/ 1 x))))
(* 1/16 (pow x 2))
(* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))
(* (pow x 2) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(* x (+ 1 (/ 1 x)))
(/ -1 x)
(/ (- (/ 1 (pow x 2)) 1) x)
(/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1) x)
(/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 5)))) x)
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 2))) 7/128)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/8) x)) 1/16)))
(* (pow x 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))))
(* -1 (/ (- 1 (/ 1 (pow x 2))) x))
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2)))) x))
(* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 (pow x 2))) (pow x 3)))) (/ 1 (pow x 2))) x))
Calls

3 calls:

TimeVariablePointExpression
28.0ms
x
@inf
((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* (pow x 3) (+ (* 7/128 (* x x)) 1/8)) x) (pow x 3) (+ (* 7/128 (* x x)) 1/8) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (sqrt (- 1 x)) (- 1 x) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (+ (* (+ (* -1/8 x) 1/2) x) 1) (+ (* -1/8 x) 1/2) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (+ (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) 1) (+ (* (- (* 1/16 x) 1/8) x) 1/2) (- (sqrt (+ 1 x)) (* (sqrt (/ (- 1 (* x x)) (+ (pow x 3) 1))) (sqrt (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* x x))))) (sqrt (+ 1 x)) (+ 1 x) (* (sqrt (/ (- 1 (* x x)) (+ (pow x 3) 1))) (sqrt (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* x x)))) (* x x) (* 1/16 x) (/ (- 1 (* x x)) (+ (pow x 3) 1)))
4.0ms
x
@-inf
((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* (pow x 3) (+ (* 7/128 (* x x)) 1/8)) x) (pow x 3) (+ (* 7/128 (* x x)) 1/8) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (sqrt (- 1 x)) (- 1 x) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (+ (* (+ (* -1/8 x) 1/2) x) 1) (+ (* -1/8 x) 1/2) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (+ (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) 1) (+ (* (- (* 1/16 x) 1/8) x) 1/2) (- (sqrt (+ 1 x)) (* (sqrt (/ (- 1 (* x x)) (+ (pow x 3) 1))) (sqrt (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* x x))))) (sqrt (+ 1 x)) (+ 1 x) (* (sqrt (/ (- 1 (* x x)) (+ (pow x 3) 1))) (sqrt (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* x x)))) (* x x) (* 1/16 x) (/ (- 1 (* x x)) (+ (pow x 3) 1)))
2.0ms
x
@0
((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* (pow x 3) (+ (* 7/128 (* x x)) 1/8)) x) (pow x 3) (+ (* 7/128 (* x x)) 1/8) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (sqrt (- 1 x)) (- 1 x) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (+ (* (+ (* -1/8 x) 1/2) x) 1) (+ (* -1/8 x) 1/2) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (+ (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) 1) (+ (* (- (* 1/16 x) 1/8) x) 1/2) (- (sqrt (+ 1 x)) (* (sqrt (/ (- 1 (* x x)) (+ (pow x 3) 1))) (sqrt (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* x x))))) (sqrt (+ 1 x)) (+ 1 x) (* (sqrt (/ (- 1 (* x x)) (+ (pow x 3) 1))) (sqrt (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* x x)))) (* x x) (* 1/16 x) (/ (- 1 (* x x)) (+ (pow x 3) 1)))

simplify236.0ms (3%)

Memory
4.9MiB live, 141.8MiB allocated; 22ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02611376
18091250
229151176
084931119
Stop Event
1×iter limit
1×node limit
Counts
82 → 81
Calls
Call 1
Inputs
x
(* x (+ 1 (* 1/8 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))
(pow x 3)
1/8
(+ 1/8 (* 7/128 (pow x 2)))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* -1/8 x) 1/2)))
(+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))
(+ 1 (* -1 x))
1/2
(+ 1/2 (* -1/8 x))
(+ 1/2 (* x (- (* 1/16 x) 1/8)))
(+ 1 x)
(pow x 2)
(* 1/16 x)
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1 x) 1)))
(+ 1 (* (pow x 2) (- (* x (- (pow x 2) 1)) 1)))
(* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* 7/128 (pow x 5))
(* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 7/128 (pow x 2))
(* (pow x 2) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(* (sqrt x) (sqrt -1))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 x)
(* x (- (/ 1 x) 1))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/8))
(* -1/8 x)
(* x (- (* 1/2 (/ 1 x)) 1/8))
(* 1/16 (pow x 3))
(* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))
(* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(* (pow x 3) (- (+ 1/16 (+ (/ 1/2 (pow x 2)) (/ 1 (pow x 3)))) (* 1/8 (/ 1 x))))
(* 1/16 (pow x 2))
(* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))
(* (pow x 2) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(* x (+ 1 (/ 1 x)))
(/ -1 x)
(/ (- (/ 1 (pow x 2)) 1) x)
(/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1) x)
(/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 5)))) x)
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 2))) 7/128)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/8) x)) 1/16)))
(* (pow x 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))))
(* -1 (/ (- 1 (/ 1 (pow x 2))) x))
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2)))) x))
(* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 (pow x 2))) (pow x 3)))) (/ 1 (pow x 2))) x))
Outputs
x
(* x (+ 1 (* 1/8 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
1/8
#s(literal 1/8 binary64)
(+ 1/8 (* 7/128 (pow x 2)))
(fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* -1/2 x))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* -1/8 x) 1/2)))
(fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/8 x))
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* 1/16 x) 1/8)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* 1/16 x)
(*.f64 #s(literal 1/16 binary64) x)
(+ 1 (* -1 (pow x 2)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1 x) 1)))
(fma.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* x (- (pow x 2) 1)) 1)))
(fma.f64 (-.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))
(*.f64 (*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64))))) x)
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(*.f64 (+.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) (-.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* 7/128 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 7/128 binary64))
(* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 7/128 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 7/128 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* 7/128 (pow x 2))
(*.f64 #s(literal 7/128 binary64) (*.f64 x x))
(* (pow x 2) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
(sqrt x)
(sqrt.f64 x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)
(* (sqrt x) (sqrt -1))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(*.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(*.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(*.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(* -1/8 (pow x 2))
(*.f64 (*.f64 #s(literal -1/8 binary64) x) x)
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x) x)
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/8))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x) x))
(* -1/8 x)
(*.f64 #s(literal -1/8 binary64) x)
(* x (- (* 1/2 (/ 1 x)) 1/8))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x)
(* 1/16 (pow x 3))
(*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (+ 1/16 (+ (/ 1/2 (pow x 2)) (/ 1 (pow x 3)))) (* 1/8 (/ 1 x))))
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/8 binary64)) x) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* 1/16 (pow x 2))
(*.f64 (*.f64 #s(literal 1/16 binary64) x) x)
(* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))
(*.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) x)
(* (pow x 2) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/16 binary64)) (*.f64 x x))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (/ 1 (pow x 2)) 1) x)
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x)
(/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1) x)
(/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x)
(/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 5)))) x)
(/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1 binary64)) x)
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))))
(*.f64 (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x)
(* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(*.f64 (+.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))) (neg.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (-.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) x)
(* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
(*.f64 (neg.f64 x) (-.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (-.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)))))) (*.f64 (sqrt.f64 #s(literal -1 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)))))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 2))) 7/128)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/8 binary64)) (*.f64 x x)) #s(literal 7/128 binary64)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(*.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (neg.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)
(* -1 (* (sqrt x) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 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))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -1 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 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)))))))
(* -1 (* x (- 1 (/ 1 x))))
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64) #s(literal -1/8 binary64)) x)
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/16 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (neg.f64 x)) #s(literal 1/16 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/8) x)) 1/16)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/8 binary64)) (neg.f64 x)) #s(literal 1/16 binary64)))
(* (pow x 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))))
(*.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) x) x)
(* -1 (/ (- 1 (/ 1 (pow x 2))) x))
(-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x)) x)
(* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 (pow x 2))) (pow x 3)))) (/ 1 (pow x 2))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x) #s(literal 1 binary64)) (*.f64 x x))) (neg.f64 x))

rewrite371.0ms (4.8%)

Memory
11.8MiB live, 295.9MiB allocated; 72ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041228
074213
1316198
22638198
08768198
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 624
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
(fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (sqrt (+ 1 x)) #s(literal 1 binary64))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
(-.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x))
(*.f64 x x)
(*.f64 #s(literal 1/16 binary64) x)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
Outputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 7/128 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 7/128 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (*.f64 x x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 7/128 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 7/128 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) x))))
(/.f64 (fma.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)) x))) (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)) x))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)) x))) (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 7/128 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 7/128 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) x)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)) x))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x))) (sqrt.f64 (neg.f64 x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 7/128 binary64) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)) x x)
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x) x)
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 7/128 binary64) x)) x (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 7/128 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 7/128 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 7/128 binary64)) (*.f64 x x)) x (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x))
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(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (fabs.f64 (*.f64 (sin.f64 (acos.f64 x)) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x))) (fabs.f64 (sin.f64 (acos.f64 (pow.f64 x #s(literal 3/2 binary64))))))
(/.f64 (fabs.f64 (sin.f64 (acos.f64 (pow.f64 x #s(literal 3/2 binary64))))) (fabs.f64 (sqrt.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (fabs.f64 (*.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (sin.f64 (acos.f64 x)))) (fabs.f64 (sin.f64 (acos.f64 (pow.f64 x #s(literal 3/2 binary64))))))
(/.f64 (fabs.f64 (sin.f64 (acos.f64 x))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))) (sqrt.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(/.f64 (*.f64 (sin.f64 (acos.f64 x)) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x)) (sin.f64 (acos.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(/.f64 (*.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (sin.f64 (acos.f64 x))) (sin.f64 (acos.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (sqrt.f64 (neg.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (sin.f64 (acos.f64 (*.f64 x x))) (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (sin.f64 (acos.f64 (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (*.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (sin.f64 (acos.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (sin.f64 (acos.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(fabs.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(exp.f64 (fma.f64 (log1p.f64 (-.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 (-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 (log1p.f64 (-.f64 (*.f64 x x) x)) #s(literal 1/2 binary64))))
(exp.f64 (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (sinh.f64 (log.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(*.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x))) x)
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(+.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))
(*.f64 #s(literal 1/16 binary64) x)
(*.f64 x #s(literal 1/16 binary64))
(sqrt.f64 (*.f64 #s(literal 1/256 binary64) (*.f64 x x)))
(fabs.f64 (neg.f64 (*.f64 #s(literal 1/16 binary64) x)))
(fabs.f64 (*.f64 #s(literal 1/16 binary64) x))
(*.f64 (fabs.f64 (/.f64 (sin.f64 (acos.f64 x)) (sin.f64 (acos.f64 (pow.f64 x #s(literal 3/2 binary64)))))) (fabs.f64 (/.f64 (sin.f64 (acos.f64 x)) (sin.f64 (acos.f64 (pow.f64 x #s(literal 3/2 binary64)))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 9 binary64)) #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 (/.f64 (neg.f64 (sin.f64 (acos.f64 x))) (sin.f64 (acos.f64 (pow.f64 x #s(literal 3/2 binary64))))) (/.f64 (neg.f64 (sin.f64 (acos.f64 x))) (sin.f64 (acos.f64 (pow.f64 x #s(literal 3/2 binary64))))))
(*.f64 (/.f64 (sin.f64 (acos.f64 x)) (sin.f64 (acos.f64 (pow.f64 x #s(literal 3/2 binary64))))) (/.f64 (sin.f64 (acos.f64 x)) (sin.f64 (acos.f64 (pow.f64 x #s(literal 3/2 binary64))))))
(pow.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (sin.f64 (acos.f64 x)) (sin.f64 (acos.f64 (pow.f64 x #s(literal 3/2 binary64))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 x) x))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x))) (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 x) x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 x) x))) (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 x) x))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64)) (pow.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 2 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -3 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) #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 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(sqrt.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(exp.f64 (fma.f64 (-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 (-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))

eval557.0ms (7.1%)

Memory
-134.0MiB live, 206.3MiB allocated; 880ms collecting garbage
Compiler

Compiled 39 205 to 3 668 computations (90.6% saved)

prune34.0ms (0.4%)

Memory
-9.4MiB live, 64.9MiB allocated; 11ms collecting garbage
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1 18191 190
Fresh729
Picked415
Done011
Total1 192131 205
Accuracy
100.0%
Counts
1 205 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.3%
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x))) (+.f64 (expm1.f64 (log1p.f64 x)) x))
4.8%
(/.f64 (-.f64 (*.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (sin.f64 (acos.f64 x)))) (*.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶8.3%
(-.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
8.3%
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (hypot.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) x)))
8.3%
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) x) #s(literal 1 binary64)))) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x)))
✓8.3%
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
▶7.2%
(-.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
7.2%
(-.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 #s(approx (+ (* -1/8 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
▶3.5%
(-.f64 #s(approx (sqrt (+ 1 x)) #s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
✓6.2%
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
4.0%
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
▶6.2%
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
▶99.5%
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
Compiler

Compiled 586 to 368 computations (37.2% saved)

simplify128.0ms (1.6%)

Memory
-11.7MiB live, 125.8MiB allocated; 9ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))))
cost-diff0
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))))
cost-diff0
(sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
cost-diff0
(-.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
cost-diff0
(*.f64 (*.f64 #s(literal -1/8 binary64) x) x)
cost-diff0
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))
cost-diff0
#s(approx (sqrt (+ 1 x)) #s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x)))
cost-diff0
(-.f64 #s(approx (sqrt (+ 1 x)) #s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
cost-diff0
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
cost-diff0
#s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
cost-diff0
(-.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
cost-diff0
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
cost-diff0
#s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
cost-diff0
#s(approx (sqrt (+ 1 x)) #s(literal 1 binary64))
cost-diff0
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
cost-diff0
(fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x))
cost-diff0
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
cost-diff2
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)) x x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050396
081394
1127394
2305394
31177394
45057394
08386392
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)) x x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64))
(*.f64 x x)
x
#s(literal 7/128 binary64)
#s(literal 1/8 binary64)
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
#s(approx (sqrt (+ 1 x)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
#s(literal -1/2 binary64)
x
(-.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
#s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
#s(literal -1/8 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
#s(literal -1/2 binary64)
(-.f64 #s(approx (sqrt (+ 1 x)) #s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (sqrt (+ 1 x)) #s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x)))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))
(*.f64 (*.f64 #s(literal -1/8 binary64) x) x)
(*.f64 #s(literal -1/8 binary64) x)
#s(literal -1/8 binary64)
x
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(-.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x
(-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))
(pow.f64 (fma.f64 x x x) #s(literal 2 binary64))
(fma.f64 x x x)
#s(literal 2 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(-.f64 #s(literal 1 binary64) (fma.f64 x x x))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
Outputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)) x x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x))
(*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64))
(fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
(*.f64 x x)
x
#s(literal 7/128 binary64)
#s(literal 1/8 binary64)
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
#s(approx (sqrt (+ 1 x)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
#s(literal -1/2 binary64)
x
(-.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
#s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
#s(literal -1/8 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
#s(literal -1/2 binary64)
(-.f64 #s(approx (sqrt (+ 1 x)) #s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (sqrt (+ 1 x)) #s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x)))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))
(*.f64 (*.f64 #s(literal -1/8 binary64) x) x)
(*.f64 #s(literal -1/8 binary64) x)
#s(literal -1/8 binary64)
x
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(-.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(sqrt.f64 (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x
(-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))
(pow.f64 (fma.f64 x x x) #s(literal 2 binary64))
(fma.f64 x x x)
#s(literal 2 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(-.f64 #s(literal 1 binary64) (fma.f64 x x x))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)

localize292.0ms (3.7%)

Memory
2.3MiB live, 336.3MiB allocated; 86ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
accuracy0.0234375
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))))
accuracy0.02734375
(pow.f64 (fma.f64 x x x) #s(literal 2 binary64))
accuracy58.67999789459419
(-.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy0.00390625
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
accuracy0.5033459327512313
#s(approx (sqrt (+ 1 x)) #s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x)))
accuracy58.67999789459419
(-.f64 #s(approx (sqrt (+ 1 x)) #s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy62.246036815216726
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))
accuracy0.0
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
accuracy0.5033459327512313
#s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
accuracy0.6893819848869979
#s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
accuracy58.67999789459419
(-.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
accuracy0.0
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
accuracy0.6893819848869979
#s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
accuracy1.2698831627513005
#s(approx (sqrt (+ 1 x)) #s(literal 1 binary64))
accuracy58.67999789459419
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
accuracy0.0
(fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64))
accuracy0.0
(*.f64 x x)
accuracy0.01171875
(*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x))
accuracy0.3500671732261117
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
Samples
150.0ms140×1valid
106.0ms113×2valid
1.0ms3×0valid
Compiler

Compiled 333 to 41 computations (87.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 161.0ms
adjust: 57.0ms (35.3% of total)
ival-sub: 33.0ms (20.5% of total)
ival-mult: 22.0ms (13.6% of total)
ival-add: 20.0ms (12.4% of total)
ival-sqrt: 13.0ms (8.1% of total)
ival-pow2: 6.0ms (3.7% of total)
ival-div: 4.0ms (2.5% of total)
ival-pow: 4.0ms (2.5% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
10.9MiB live, 10.9MiB allocated; 0ms collecting garbage
Counts
23 → 75
Calls
Call 1
Inputs
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)) x x)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64))
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
#s(approx (sqrt (+ 1 x)) #s(literal 1 binary64))
#s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
(-.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
#s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
(-.f64 #s(approx (sqrt (+ 1 x)) #s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (sqrt (+ 1 x)) #s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x)))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))
(*.f64 (*.f64 #s(literal -1/8 binary64) x) x)
(-.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))))
(*.f64 x x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(pow.f64 (fma.f64 x x x) #s(literal 2 binary64))
Outputs
x
(* x (+ 1 (* 1/8 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))
1/8
(+ 1/8 (* 7/128 (pow x 2)))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* -1/8 x) 1/2)))
(+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))
1/2
(+ 1/2 (* -1/8 x))
(* -1/8 (pow x 2))
(+ 1 x)
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2 x) 2)))
(+ 1 (* (pow x 2) (- (* x (- (* 2 (pow x 2)) 2)) 2)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 x)))
(* (pow x 2) (+ 1 (* x (+ 2 x))))
(* 7/128 (pow x 5))
(* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* 7/128 (pow x 4))
(* (pow x 4) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))
(* 7/128 (pow x 2))
(* (pow x 2) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(* (sqrt x) (sqrt -1))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1/2 x)
(* x (- (/ 1 x) 1/2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/8))
(* -1/8 x)
(* x (- (* 1/2 (/ 1 x)) 1/8))
(* x (+ 1 (/ 1 x)))
(pow x 6)
(* (pow x 6) (+ 1 (* 2 (/ 1 x))))
(* (pow x 6) (- (+ 1 (* 2 (/ 1 x))) (/ 2 (pow x 3))))
(* (pow x 6) (+ 1 (+ (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 3))) (* 2 (/ 1 x)))))
(pow x 4)
(* (pow x 4) (+ 1 (* 2 (/ 1 x))))
(* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 2))) 7/128)))
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* -1 (* x (- 1/2 (/ 1 x))))
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))
(* (pow x 6) (+ 1 (* -1 (/ (- (* 2 (/ 1 (pow x 2))) 2) x))))
(* (pow x 6) (+ 1 (* -1 (/ (- (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 3))) 2) x))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@inf
((+ (* (* (+ (* (* x x) 7/128) 1/8) (* x x)) x) x) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (* x x) 7/128) 1/8) (* x x)) (+ (* (* x x) 7/128) 1/8) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (sqrt (- 1 x)) (+ (* -1/2 x) 1) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (+ (* (+ (* -1/8 x) 1/2) x) 1) (+ (* -1/8 x) 1/2) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (+ (* (+ (* -1/8 x) 1/2) x) 1) (* (* -1/8 x) x) (- (sqrt (/ (* (- 1 (* x x)) (- 1 (pow (+ (* x x) x) 2))) (* (- 1 (pow x 3)) (- 1 (+ (* x x) x))))) (sqrt (- 1 x))) (sqrt (/ (* (- 1 (* x x)) (- 1 (pow (+ (* x x) x) 2))) (* (- 1 (pow x 3)) (- 1 (+ (* x x) x))))) (/ (* (- 1 (* x x)) (- 1 (pow (+ (* x x) x) 2))) (* (- 1 (pow x 3)) (- 1 (+ (* x x) x)))) (* (- 1 (* x x)) (- 1 (pow (+ (* x x) x) 2))) (* x x) (sqrt (- 1 x)) (pow (+ (* x x) x) 2))
3.0ms
x
@-inf
((+ (* (* (+ (* (* x x) 7/128) 1/8) (* x x)) x) x) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (* x x) 7/128) 1/8) (* x x)) (+ (* (* x x) 7/128) 1/8) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (sqrt (- 1 x)) (+ (* -1/2 x) 1) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (+ (* (+ (* -1/8 x) 1/2) x) 1) (+ (* -1/8 x) 1/2) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (+ (* (+ (* -1/8 x) 1/2) x) 1) (* (* -1/8 x) x) (- (sqrt (/ (* (- 1 (* x x)) (- 1 (pow (+ (* x x) x) 2))) (* (- 1 (pow x 3)) (- 1 (+ (* x x) x))))) (sqrt (- 1 x))) (sqrt (/ (* (- 1 (* x x)) (- 1 (pow (+ (* x x) x) 2))) (* (- 1 (pow x 3)) (- 1 (+ (* x x) x))))) (/ (* (- 1 (* x x)) (- 1 (pow (+ (* x x) x) 2))) (* (- 1 (pow x 3)) (- 1 (+ (* x x) x)))) (* (- 1 (* x x)) (- 1 (pow (+ (* x x) x) 2))) (* x x) (sqrt (- 1 x)) (pow (+ (* x x) x) 2))
2.0ms
x
@0
((+ (* (* (+ (* (* x x) 7/128) 1/8) (* x x)) x) x) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (* x x) 7/128) 1/8) (* x x)) (+ (* (* x x) 7/128) 1/8) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (sqrt (- 1 x)) (+ (* -1/2 x) 1) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (+ (* (+ (* -1/8 x) 1/2) x) 1) (+ (* -1/8 x) 1/2) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (+ (* (+ (* -1/8 x) 1/2) x) 1) (* (* -1/8 x) x) (- (sqrt (/ (* (- 1 (* x x)) (- 1 (pow (+ (* x x) x) 2))) (* (- 1 (pow x 3)) (- 1 (+ (* x x) x))))) (sqrt (- 1 x))) (sqrt (/ (* (- 1 (* x x)) (- 1 (pow (+ (* x x) x) 2))) (* (- 1 (pow x 3)) (- 1 (+ (* x x) x))))) (/ (* (- 1 (* x x)) (- 1 (pow (+ (* x x) x) 2))) (* (- 1 (pow x 3)) (- 1 (+ (* x x) x)))) (* (- 1 (* x x)) (- 1 (pow (+ (* x x) x) 2))) (* x x) (sqrt (- 1 x)) (pow (+ (* x x) x) 2))

simplify163.0ms (2.1%)

Memory
9.4MiB live, 99.1MiB allocated; 29ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02461289
17971177
230101113
082941052
Stop Event
1×iter limit
1×node limit
Counts
75 → 74
Calls
Call 1
Inputs
x
(* x (+ 1 (* 1/8 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))
1/8
(+ 1/8 (* 7/128 (pow x 2)))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* -1/8 x) 1/2)))
(+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))
1/2
(+ 1/2 (* -1/8 x))
(* -1/8 (pow x 2))
(+ 1 x)
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2 x) 2)))
(+ 1 (* (pow x 2) (- (* x (- (* 2 (pow x 2)) 2)) 2)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 x)))
(* (pow x 2) (+ 1 (* x (+ 2 x))))
(* 7/128 (pow x 5))
(* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* 7/128 (pow x 4))
(* (pow x 4) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))
(* 7/128 (pow x 2))
(* (pow x 2) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(* (sqrt x) (sqrt -1))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1/2 x)
(* x (- (/ 1 x) 1/2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/8))
(* -1/8 x)
(* x (- (* 1/2 (/ 1 x)) 1/8))
(* x (+ 1 (/ 1 x)))
(pow x 6)
(* (pow x 6) (+ 1 (* 2 (/ 1 x))))
(* (pow x 6) (- (+ 1 (* 2 (/ 1 x))) (/ 2 (pow x 3))))
(* (pow x 6) (+ 1 (+ (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 3))) (* 2 (/ 1 x)))))
(pow x 4)
(* (pow x 4) (+ 1 (* 2 (/ 1 x))))
(* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 2))) 7/128)))
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* -1 (* x (- 1/2 (/ 1 x))))
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))
(* (pow x 6) (+ 1 (* -1 (/ (- (* 2 (/ 1 (pow x 2))) 2) x))))
(* (pow x 6) (+ 1 (* -1 (/ (- (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 3))) 2) x))))
Outputs
x
(* x (+ 1 (* 1/8 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x)
(* 1/8 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
(* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
1/8
#s(literal 1/8 binary64)
(+ 1/8 (* 7/128 (pow x 2)))
(fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* -1/2 x))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* -1/8 x) 1/2)))
(fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/8 x))
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
(* -1/8 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/8 binary64))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 (* -2 (pow x 2)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -2 x) 2)))
(fma.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* x (- (* 2 (pow x 2)) 2)) 2)))
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (* x (+ 2 x))))
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 1 binary64)) x) x)
(* 7/128 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 7/128 binary64))
(* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 7/128 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 7/128 binary64)) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))
(*.f64 (*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64))))) x)
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) x)
(* 7/128 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 7/128 binary64))
(* (pow x 4) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 7/128 binary64)))
(* 7/128 (pow x 2))
(*.f64 #s(literal 7/128 binary64) (*.f64 x x))
(* (pow x 2) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
(sqrt x)
(sqrt.f64 x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)
(* (sqrt x) (sqrt -1))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(*.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(*.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(*.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (/ 1 x) 1/2))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x) x)
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/8))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x) x))
(* -1/8 x)
(*.f64 #s(literal -1/8 binary64) x)
(* x (- (* 1/2 (/ 1 x)) 1/8))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x)
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(* (pow x 6) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1 (* 2 (/ 1 x))) (/ 2 (pow x 3))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1 (+ (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 3))) (* 2 (/ 1 x)))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))) (pow.f64 x #s(literal 6 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 2))) 7/128)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/8 binary64)) (*.f64 x x)) #s(literal 7/128 binary64)))
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))))
(*.f64 (neg.f64 x) (*.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (* x (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(*.f64 (neg.f64 x) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (-.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 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))))))
(* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
(*.f64 (neg.f64 x) (-.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (-.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)))))) (*.f64 (sqrt.f64 #s(literal -1 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)))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(*.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (neg.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)
(* -1 (* (sqrt x) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 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))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -1 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 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)))))))
(* -1 (* x (- 1/2 (/ 1 x))))
(*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64) #s(literal -1/8 binary64)) x)
(* (pow x 6) (+ 1 (* -1 (/ (- (* 2 (/ 1 (pow x 2))) 2) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1 (* -1 (/ (- (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 3))) 2) x))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))) (pow.f64 x #s(literal 6 binary64)))

rewrite153.0ms (2%)

Memory
3.3MiB live, 242.4MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050306
081280
1318232
22515230
09012228
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 484
Calls
Call 1
Inputs
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)) x x)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64))
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
#s(approx (sqrt (+ 1 x)) #s(literal 1 binary64))
#s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
(-.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
#s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
(-.f64 #s(approx (sqrt (+ 1 x)) #s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (sqrt (+ 1 x)) #s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x)))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))
(*.f64 (*.f64 #s(literal -1/8 binary64) x) x)
(-.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))))
(*.f64 x x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(pow.f64 (fma.f64 x x x) #s(literal 2 binary64))
Outputs
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(/.f64 (neg.f64 (*.f64 (sin.f64 (acos.f64 (fma.f64 x x x))) (sin.f64 (acos.f64 x)))) (neg.f64 (*.f64 (sin.f64 (acos.f64 (hypot.f64 (sqrt.f64 x) x))) (sin.f64 (acos.f64 (pow.f64 x #s(literal 3/2 binary64)))))))
(/.f64 (*.f64 (sin.f64 (acos.f64 (fma.f64 x x x))) (/.f64 (sin.f64 (acos.f64 x)) (sin.f64 (acos.f64 (pow.f64 x #s(literal 3/2 binary64)))))) (sin.f64 (acos.f64 (hypot.f64 (sqrt.f64 x) x))))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (sin.f64 (acos.f64 (fma.f64 x x x)))) (*.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (sin.f64 (acos.f64 (hypot.f64 (sqrt.f64 x) x)))))
(/.f64 (sin.f64 (acos.f64 x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (sin.f64 (acos.f64 (pow.f64 x #s(literal 3/2 binary64)))) (hypot.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sin.f64 (acos.f64 (pow.f64 x #s(literal 3/2 binary64)))) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x))
(/.f64 (*.f64 (sin.f64 (acos.f64 (fma.f64 x x x))) (sin.f64 (acos.f64 x))) (*.f64 (sin.f64 (acos.f64 (hypot.f64 (sqrt.f64 x) x))) (sin.f64 (acos.f64 (pow.f64 x #s(literal 3/2 binary64))))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(fabs.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 (neg.f64 (fma.f64 x x x))) (neg.f64 (neg.f64 (fma.f64 x x x))))
(*.f64 (fabs.f64 (*.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) x))) x)
(*.f64 (fabs.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (*.f64 x x))
(*.f64 (pow.f64 (neg.f64 (fma.f64 x x x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fma.f64 x x x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (*.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) x)) x)
(*.f64 (fma.f64 x x (neg.f64 x)) (-.f64 (*.f64 x x) (neg.f64 x)))
(*.f64 (neg.f64 (fma.f64 x x x)) (neg.f64 (fma.f64 x x x)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 x x x) (fma.f64 x x x))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fabs.f64 (*.f64 x (fma.f64 x x x))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (*.f64 x (fma.f64 x x x)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (fma.f64 x x x)))
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (+.f64 (log1p.f64 x) (log.f64 x)))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fma.f64 x x x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (fma.f64 x x x) #s(literal 2 binary64))
(/.f64 (fabs.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64))) (fma.f64 x x x))
(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x x))) (fabs.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (fabs.f64 (*.f64 (fma.f64 x x x) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (fabs.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (fabs.f64 (pow.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))))
(/.f64 (fabs.f64 (*.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (*.f64 (fma.f64 x x x) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (fabs.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x x)) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (fma.f64 x x x) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x x x) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (pow.f64 (fma.f64 x x x) #s(literal 4 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))
(/.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (fma.f64 x x x))
(fma.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 2 binary64)) (*.f64 x x) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 2 binary64)) (*.f64 x x) (*.f64 (neg.f64 x) x))
(fma.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x) (*.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) x (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) x (*.f64 (neg.f64 x) x))
(fma.f64 (fma.f64 x x x) (*.f64 x x) (*.f64 (fma.f64 x x x) x))
(fma.f64 (fma.f64 x x x) x (*.f64 (fma.f64 x x x) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 (*.f64 x x) (fma.f64 x x x) (*.f64 x (fma.f64 x x x)))
(fma.f64 (*.f64 x x) (*.f64 x x) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 (*.f64 x x) (*.f64 x x) (*.f64 (neg.f64 x) x))
(fma.f64 x (pow.f64 x #s(literal 3 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 x (pow.f64 x #s(literal 3 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 x (fma.f64 x x x) (*.f64 (*.f64 x x) (fma.f64 x x x)))
(sqrt.f64 (pow.f64 (fma.f64 x x x) #s(literal 4 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))
(fabs.f64 (neg.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 x x) (fma.f64 x x x)) (*.f64 x (fma.f64 x x x)))
(+.f64 (*.f64 x (fma.f64 x x x)) (*.f64 (*.f64 x x) (fma.f64 x x x)))
(+.f64 (*.f64 (fma.f64 x x x) (*.f64 x x)) (*.f64 (fma.f64 x x x) x))
(+.f64 (*.f64 (fma.f64 x x x) x) (*.f64 (fma.f64 x x x) (*.f64 x x)))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))))
(+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))

eval77.0ms (1%)

Memory
-23.5MiB live, 119.6MiB allocated; 10ms collecting garbage
Compiler

Compiled 18 392 to 2 511 computations (86.3% saved)

prune16.0ms (0.2%)

Memory
-10.2MiB live, 37.3MiB allocated; 1ms collecting garbage
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New5564560
Fresh246
Picked325
Done112
Total56211573
Accuracy
100.0%
Counts
573 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶8.3%
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x))) (+.f64 (expm1.f64 (log1p.f64 x)) x))
▶4.8%
(/.f64 (-.f64 (*.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (sin.f64 (acos.f64 x)))) (*.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶8.3%
(-.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
8.3%
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (hypot.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) x)))
8.3%
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) x) #s(literal 1 binary64)))) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x)))
✓8.3%
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
7.5%
(-.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 #s(approx (+ (* -1/8 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
✓6.2%
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
▶4.0%
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (sqrt (- 1 x)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))))
✓99.5%
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
▶99.3%
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
Compiler

Compiled 498 to 305 computations (38.8% saved)

simplify129.0ms (1.6%)

Memory
17.5MiB live, 106.5MiB allocated; 10ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64))))
cost-diff0
(*.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
cost-diff0
(-.f64 (*.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (sin.f64 (acos.f64 x))))
cost-diff12
(/.f64 (-.f64 (*.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (sin.f64 (acos.f64 x)))) (*.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
cost-diff0
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff2
(expm1.f64 (log1p.f64 x))
cost-diff8
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x))) (+.f64 (expm1.f64 (log1p.f64 x)) x))
cost-diff14
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x)))
cost-diff0
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
cost-diff0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))
cost-diff0
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
cost-diff0
(-.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
cost-diff0
#s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))
cost-diff0
#s(approx (sqrt (- 1 x)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x)))
cost-diff0
#s(approx (sqrt (+ 1 x)) #s(literal 1 binary64))
cost-diff0
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (sqrt (- 1 x)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))))
cost-diff0
#s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64))
cost-diff0
(*.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) (*.f64 x x))
cost-diff0
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
cost-diff2
(fma.f64 (*.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)) x x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058453
099427
1167415
2420401
31354397
45471397
08892388
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
(fma.f64 (*.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)) x x)
(*.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) (*.f64 x x))
#s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(*.f64 x x)
x
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (sqrt (- 1 x)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (sqrt (+ 1 x)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (sqrt (- 1 x)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(-.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 x x #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x))) (+.f64 (expm1.f64 (log1p.f64 x)) x))
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x))
(+.f64 (expm1.f64 (log1p.f64 x)) x)
(expm1.f64 (log1p.f64 x))
(log1p.f64 x)
(/.f64 (-.f64 (*.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (sin.f64 (acos.f64 x)))) (*.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (*.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (sin.f64 (acos.f64 x))))
(*.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64))))
(asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))
(pow.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (sin.f64 (acos.f64 x)))
(hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(sin.f64 (acos.f64 x))
(acos.f64 x)
(*.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
Outputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) x))
(fma.f64 (*.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)) x x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) x)
(*.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) (*.f64 x x))
(*.f64 (*.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) x) x)
#s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(*.f64 x x)
x
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (sqrt (- 1 x)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (sqrt (+ 1 x)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (sqrt (- 1 x)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(-.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x))) (+.f64 (expm1.f64 (log1p.f64 x)) x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 x #s(literal -1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x))
(+.f64 (expm1.f64 (log1p.f64 x)) x)
(*.f64 #s(literal 2 binary64) x)
(expm1.f64 (log1p.f64 x))
x
(log1p.f64 x)
(/.f64 (-.f64 (*.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (sin.f64 (acos.f64 x)))) (*.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x)) (/.f64 (sin.f64 (acos.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (*.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (sin.f64 (acos.f64 x))))
(fma.f64 (neg.f64 (sin.f64 (acos.f64 x))) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (*.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64))))
(asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))
(pow.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (sin.f64 (acos.f64 x)))
(*.f64 (sin.f64 (acos.f64 x)) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x))
(hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(sin.f64 (acos.f64 x))
(acos.f64 x)
(*.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))

localize358.0ms (4.6%)

Memory
8.3MiB live, 440.5MiB allocated; 54ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(*.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
accuracy0.01171875
(/.f64 (-.f64 (*.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (sin.f64 (acos.f64 x)))) (*.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
accuracy0.015625
(*.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
accuracy29.427685610561774
(-.f64 (*.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (sin.f64 (acos.f64 x))))
accuracy0.01171875
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy14.262309443109165
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x)))
accuracy14.845852556990604
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x))) (+.f64 (expm1.f64 (log1p.f64 x)) x))
accuracy29.42883724574096
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy0.0078125
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
accuracy0.0078125
(sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
accuracy0.01171875
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
accuracy29.42883724574096
(-.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy0.6195386711153908
#s(approx (sqrt (- 1 x)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x)))
accuracy0.9567450281391188
#s(approx (sqrt (+ 1 x)) #s(literal 1 binary64))
accuracy29.42883724574096
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (sqrt (- 1 x)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))))
accuracy31.77372542254166
#s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))
accuracy0.0
(*.f64 x x)
accuracy0.00390625
(*.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) (*.f64 x x))
accuracy0.3500671732261117
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
accuracy0.6305366290387738
#s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64))
Samples
148.0ms62×2valid
108.0ms65×1valid
51.0ms126×0invalid
1.0ms3×0valid
Compiler

Compiled 472 to 51 computations (89.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 274.0ms
adjust: 75.0ms (27.4% of total)
ival-sin: 59.0ms (21.6% of total)
ival-mult: 44.0ms (16.1% of total)
ival-pow: 17.0ms (6.2% of total)
ival-sqrt: 16.0ms (5.8% of total)
ival-sub: 13.0ms (4.8% of total)
ival-add: 12.0ms (4.4% of total)
ival-div: 9.0ms (3.3% of total)
ival-hypot: 8.0ms (2.9% of total)
ival-acos: 6.0ms (2.2% of total)
ival-cosh: 6.0ms (2.2% of total)
ival-asinh: 3.0ms (1.1% of total)
ival-log1p: 2.0ms (0.7% of total)
ival-expm1: 2.0ms (0.7% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series67.0ms (0.9%)

Memory
15.0MiB live, 104.6MiB allocated; 20ms collecting garbage
Counts
25 → 163
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)) x x)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
(*.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) (*.f64 x x))
#s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64))
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (sqrt (- 1 x)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (sqrt (+ 1 x)) #s(literal 1 binary64))
#s(approx (sqrt (- 1 x)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))
(-.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x))) (+.f64 (expm1.f64 (log1p.f64 x)) x))
(expm1.f64 (log1p.f64 x))
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (sin.f64 (acos.f64 x)))) (*.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (*.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (sin.f64 (acos.f64 x))))
(*.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 x x)
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
Outputs
x
(* x (+ 1 (* 1/8 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))
1/8
(+ 1/8 (* 7/128 (pow x 2)))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* -1/8 x) 1/2)))
(+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))
(+ 1 (* -1/2 (pow x 4)))
(+ 1 (* (pow x 4) (- (* -1/8 (pow x 4)) 1/2)))
(+ 1 (* (pow x 4) (- (* (pow x 4) (- (* -1/16 (pow x 4)) 1/8)) 1/2)))
(+ 1 (* -1 (pow x 4)))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 1/4 (pow x 2))))
(* (pow x 2) (+ 2 (* (pow x 2) (+ 1/4 (* 7/64 (pow x 2))))))
(* (pow x 2) (+ 2 (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 7/64 (* 33/512 (pow x 2))))))))
(* x (+ 1 x))
(* x (+ 1 (* x (+ 1 (* 1/8 x)))))
(* x (+ 1 (* x (+ 1 (* x (+ 1/8 (* 1/8 x)))))))
(- 1 (sin (acos x)))
(- (+ 1 (* x (- 1/2 (* -1/2 (sin (acos x)))))) (sin (acos x)))
(- (+ 1 (* x (- (+ 1/2 (* x (- (* 1/2 x) (+ 1/8 (* 3/8 (sin (acos x))))))) (* -1/2 (sin (acos x)))))) (sin (acos x)))
(- (+ 1 (* x (- (+ 1/2 (* x (- (+ (* 1/2 x) (* x (- (+ 1/16 (+ (* -1/2 (+ (* -1 (* (sqrt x) (+ (* -1 x) (+ (* 1/2 x) (* 1/2 (+ x (* -1 x))))))) (* -1 (* (sqrt x) (+ (* 1/2 x) (* 1/2 (+ x (* -1 x)))))))) (+ (* -1/2 (- 1 (sin (acos x)))) (* 1/4 x)))) (* 3/16 (sin (acos x)))))) (+ 1/8 (* 3/8 (sin (acos x))))))) (* -1/2 (sin (acos x)))))) (sin (acos x)))
(- (+ 1 (* x (- (+ 1/2 (* x (- (+ (* 1/2 x) (* x (- (+ 1/16 (+ (* -1/2 (+ (* -1 (* (sqrt x) (+ (* -1 x) (+ (* 1/2 x) (* 1/2 (+ x (* -1 x))))))) (* -1 (* (sqrt x) (+ (* 1/2 x) (* 1/2 (+ x (* -1 x)))))))) (* 1/4 x))) (* 3/16 (sin (acos x)))))) (+ 1/8 (* 3/8 (sin (acos x))))))) (* -1/2 (sin (acos x)))))) (sin (acos x)))
(+ 1 (* x (+ 1/2 (* x (- (* 1/2 x) 1/8)))))
(+ 1 (* x (+ 1/2 (* x (- (+ (* 1/2 x) (* x (+ 1/16 (+ (* -1/2 (+ (* -1 (* (sqrt x) (+ (* -1 x) (+ (* 1/2 x) (* 1/2 (+ x (* -1 x))))))) (* -1 (* (sqrt x) (+ (* 1/2 x) (* 1/2 (+ x (* -1 x)))))))) (* 1/4 x))))) 1/8)))))
(+ 1 (* 1/2 (pow x 3)))
(+ 1 (* (pow x 2) (+ (* -1/2 (* x (+ (* -1 (* (sqrt x) (+ (* -1 x) (+ (* 1/2 x) (* 1/2 (+ x (* -1 x))))))) (* -1 (* (sqrt x) (+ (* 1/2 x) (* 1/2 (+ x (* -1 x))))))))) (* 1/2 x))))
(+ 1 (* (pow x 2) (+ (* 1/2 x) (* x (+ (* -1/2 (* x (+ (* -1 (* (sqrt x) (+ (* -1 (* (sqrt x) (+ (* -1 x) (+ (* 1/2 x) (* 1/2 (+ x (* -1 x))))))) (+ (* -1 (* (sqrt x) (+ (* 1/2 x) (* 1/2 (+ x (* -1 x)))))) (+ (* 1/6 (sqrt (pow x 3))) (+ (* 1/6 (+ (* -3 (sqrt (pow x 3))) (* 2 (sqrt (pow x 3))))) (* 1/2 (* (sqrt x) (+ x (* -1 x)))))))))) (+ (* -1 (* (sqrt x) (+ (* 1/6 (sqrt (pow x 3))) (+ (* 1/6 (+ (* -3 (sqrt (pow x 3))) (* 2 (sqrt (pow x 3))))) (* 1/2 (* (sqrt x) (+ x (* -1 x)))))))) (* -1 (* (+ (* -1 x) (+ (* 1/2 x) (* 1/2 (+ x (* -1 x))))) (+ (* 1/2 x) (* 1/2 (+ x (* -1 x)))))))))) (* -1/2 (+ (* -1 (* (sqrt x) (+ (* -1 x) (+ (* 1/2 x) (* 1/2 (+ x (* -1 x))))))) (* -1 (* (sqrt x) (+ (* 1/2 x) (* 1/2 (+ x (* -1 x)))))))))))))
(pow x 2)
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(+ 1 (* x (- (* 3/8 x) 1/2)))
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))
(+ 1 (* (pow x 3) (+ 1/2 (* -1/8 (pow x 3)))))
(+ 1 (* (pow x 3) (+ 1/2 (* (pow x 3) (- (* 1/16 (pow x 3)) 1/8)))))
(* 7/128 (pow x 5))
(* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* 7/128 (pow x 4))
(* (pow x 4) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))
(* 7/128 (pow x 2))
(* (pow x 2) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(* (sqrt x) (sqrt -1))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1/2 x)
(* x (- (/ 1 x) 1/2))
(* (pow x 2) (sqrt -1))
(* (pow x 2) (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 4) (sqrt -1))))))
(* (pow x 2) (- (+ (sqrt -1) (/ 1/2 (* (pow x 4) (sqrt -1)))) (/ 1/8 (* (pow x 8) (pow (sqrt -1) 3)))))
(* (pow x 2) (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 4) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 12) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 8) (pow (sqrt -1) 3))))))
(* -1 (pow x 4))
(* (pow x 4) (- (/ 1 (pow x 4)) 1))
(* (pow x 2) (- (sqrt (/ 1 x)) (+ (* -1 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* (pow x 2) (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* -1 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) (+ (* -1 (/ (- (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (pow x 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* (pow x 2) (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -1 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) (+ (* -1 (/ (- (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (pow x 4))) (+ (* -1 (/ (- (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (pow x 2))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
(* (pow x 2) (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (+ (* -1 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) (+ (* -1 (/ (- (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (pow x 4))) (+ (* -1 (/ (- (* 1/16 (sqrt (pow x 5))) (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 5))))) (pow x 6))) (+ (* -1 (/ (- (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (pow x 2))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))))
(* 1/2 (* x (- (sqrt (/ 1 x)) (+ (* -1 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* x (+ (* 1/2 (- (sqrt (/ 1 x)) (+ (* -1 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) (* 1/2 (/ (- (* 1/2 (sqrt x)) (+ (* -1 (- (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (pow x 2)))))
(* x (+ (* 1/2 (- (sqrt (/ 1 x)) (+ (* -1 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) (+ (* 1/2 (/ (- (* -1/8 (sqrt (pow x 3))) (+ (* -1 (- (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3)))))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3)))))) (pow x 4))) (* 1/2 (/ (- (* 1/2 (sqrt x)) (+ (* -1 (- (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (pow x 2))))))
(* x (+ (* 1/2 (- (sqrt (/ 1 x)) (+ (* -1 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) (+ (* 1/2 (/ (- (* -1/8 (sqrt (pow x 3))) (+ (* -1 (- (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3)))))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3)))))) (pow x 4))) (+ (* 1/2 (/ (- (* 1/16 (sqrt (pow x 5))) (+ (* -1 (- (* 1/16 (sqrt (pow x 5))) (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 5)))))) (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 5)))))) (pow x 6))) (* 1/2 (/ (- (* 1/2 (sqrt x)) (+ (* -1 (- (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (pow x 2)))))))
(* (pow x 2) (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))
(* (pow x 2) (- (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 (pow x 3))) (sqrt -1)))))
(* (pow x 2) (- (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 (pow x 3))) (sqrt -1))))))
(* (pow x 2) (- (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 (pow x 3))) (sqrt -1)))))))
(* (sqrt (/ 1 x)) (- (* 1/2 (* (sqrt (/ 1 x)) (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))))))) (sin (acos x))))
(+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sin (acos x)))) (* (sqrt (/ 1 x)) (- (* 1/2 (* (sqrt (/ 1 x)) (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))))))) (sin (acos x)))))
(+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sin (acos x)))) (+ (* (sqrt (/ 1 x)) (- (* 1/2 (* (sqrt (/ 1 x)) (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))))))) (sin (acos x)))) (* (sqrt (/ 1 (pow x 5))) (- (* 1/4 (* (sqrt x) (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))))))) (* 3/8 (sin (acos x)))))))
(+ (* -3/16 (* (sqrt (/ 1 (pow x 7))) (sin (acos x)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sin (acos x)))) (+ (* (sqrt (/ 1 x)) (- (* 1/2 (* (sqrt (/ 1 x)) (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))))))) (sin (acos x)))) (* (sqrt (/ 1 (pow x 5))) (- (* 1/4 (* (sqrt x) (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))))))) (* 3/8 (sin (acos x))))))))
(* x (- (* 1/2 (* (sqrt (/ 1 x)) (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))))))) (sin (acos x))))
(* x (- (+ (* 1/2 (* (sqrt (/ 1 x)) (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))))))) (* 1/2 (/ (sin (acos x)) x))) (sin (acos x))))
(* x (- (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))))))) (* 1/2 (* (sqrt (/ 1 x)) (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x)))))))))) (+ (sin (acos x)) (+ (* -1/2 (/ (sin (acos x)) x)) (* 3/8 (/ (sin (acos x)) (pow x 2)))))))
(* x (- (+ (* -3/16 (/ (sin (acos x)) (pow x 3))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))))))) (* 1/2 (* (sqrt (/ 1 x)) (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))))))))) (+ (sin (acos x)) (+ (* -1/2 (/ (sin (acos x)) x)) (* 3/8 (/ (sin (acos x)) (pow x 2)))))))
(* 1/2 (* (sqrt x) (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x)))))))))
(* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))))))) (* 1/2 (* (sqrt (/ 1 x)) (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x)))))))))))
(* x (+ (* -1/16 (* (sqrt (/ 1 (pow x 5))) (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))))))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))))))) (+ (* 1/2 (* (sqrt (/ 1 x)) (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))))))) (* 1/2 (* (sqrt (/ 1 (pow x 9))) (- (* 1/4 (* x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))))) (* 1/4 (/ x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))))))))))))
(* x (+ (* -1/16 (* (sqrt (/ 1 (pow x 5))) (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))))))) (+ (* 1/32 (* (sqrt (/ 1 (pow x 7))) (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))))))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))))))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 11))) (- (* 1/4 (* x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))))) (* 1/4 (/ x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x)))))))))) (+ (* 1/2 (* (sqrt (/ 1 x)) (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))))))) (* 1/2 (* (sqrt (/ 1 (pow x 9))) (- (* 1/4 (* x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))))) (* 1/4 (/ x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))))))))))))))
(* 1/2 (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))))))
(+ (* 1/2 (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x)))))))) (* 1/2 (/ (- (* 1/4 (* x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))))) (* 1/4 (/ x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x)))))))) (pow x 4))))
(+ (* 1/2 (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x)))))))) (+ (* 1/2 (/ (+ (* -1/16 (* (pow x 2) (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))))) (* 1/8 (/ (pow x 2) (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x)))))))) (pow x 8))) (* 1/2 (/ (- (* 1/4 (* x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))))) (* 1/4 (/ x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x)))))))) (pow x 4)))))
(+ (* 1/2 (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x)))))))) (+ (* 1/2 (/ (+ (* -1/16 (* (pow x 2) (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))))) (* 1/8 (/ (pow x 2) (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x)))))))) (pow x 8))) (+ (* 1/2 (/ (- (* 1/32 (* (pow x 3) (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))))) (* 5/64 (/ (pow x 3) (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x)))))))) (pow x 12))) (* 1/2 (/ (- (* 1/4 (* x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))))) (* 1/4 (/ x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x)))))))) (pow x 4))))))
(* -1 (pow x 3))
(* (pow x 3) (- (/ 1 x) 1))
(* (pow x 3) (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))))
(* (sqrt (pow x 3)) (sqrt -1))
(* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (/ (- 1 (* 1/4 (/ x (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(sqrt (pow x 3))
(* (pow x 2) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 7))))))
(* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 13)))) (* 1/2 (sqrt (/ 1 (pow x 7)))))))
(* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 13)))) (+ (* 1/16 (sqrt (/ 1 (pow x 19)))) (* 1/2 (sqrt (/ 1 (pow x 7))))))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 2))) 7/128)))
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* -1 (* x (- 1/2 (/ 1 x))))
(* (pow x 2) (- (+ (* -1 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* (pow x 2) (- (+ (* -1 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))) (+ (* -1 (/ (- (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) (pow x 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* (pow x 2) (- (+ (* -1 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))) (+ (* -1 (/ (- (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (sqrt -1)))) (pow x 4))) (+ (* -1 (/ (- (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) (pow x 2))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* (pow x 2) (- (+ (* -1 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))) (+ (* -1 (/ (- (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (sqrt -1)))) (pow x 4))) (+ (* -1 (/ (- (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 4)))) (* 1/16 (* (sqrt (pow x 5)) (sqrt -1)))) (pow x 6))) (+ (* -1 (/ (- (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) (pow x 2))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* 1/2 (* x (- (+ (* -1 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/2 (- (+ (* -1 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1/2 (/ (- (+ (* -1 (- (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1))))) (* 1/2 (* (sqrt x) (sqrt -1)))) (* 1/2 (sqrt x))) (pow x 2))))))
(* -1 (* x (+ (* -1/2 (- (+ (* -1 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1/2 (/ (- (+ (* -1 (- (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))))) (* -1/8 (* (sqrt (pow x 3)) (sqrt -1)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (pow x 4))) (* -1/2 (/ (- (+ (* -1 (- (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1))))) (* 1/2 (* (sqrt x) (sqrt -1)))) (* 1/2 (sqrt x))) (pow x 2)))))))
(* -1 (* x (+ (* -1/2 (- (+ (* -1 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1/2 (/ (- (+ (* -1 (- (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))))) (* -1/8 (* (sqrt (pow x 3)) (sqrt -1)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (pow x 4))) (+ (* -1/2 (/ (- (+ (* -1 (- (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 4)))) (* 1/16 (* (sqrt (pow x 5)) (sqrt -1))))) (* 1/16 (* (sqrt (pow x 5)) (sqrt -1)))) (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 4))))) (pow x 6))) (* -1/2 (/ (- (+ (* -1 (- (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1))))) (* 1/2 (* (sqrt x) (sqrt -1)))) (* 1/2 (sqrt x))) (pow x 2))))))))
(* -1 (* (pow x 2) (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* (pow x 2) (+ (* -1 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))) (* -1 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1))) x))))
(* (pow x 2) (+ (* -1 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))) (* -1 (/ (- (+ (* 1/2 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 x)) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))) x))))
(* (pow x 2) (+ (* -1 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))) (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (- (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1))))) (* -1 (/ (- (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (sqrt -1))) x))))
(* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 1/2 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x)))))))))) (sin (acos x)))))
(+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sin (acos x)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 1/2 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x)))))))))) (sin (acos x))))))
(+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (* (pow (sqrt -1) 2) (- (* 1/4 (* (sqrt x) (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))))))) (* 3/8 (sin (acos x))))))) (* -1/2 (* (sqrt (/ 1 x)) (* (sin (acos x)) (pow (sqrt -1) 2))))) x)) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 1/2 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x)))))))))) (sin (acos x))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -3/16 (* (sqrt (/ 1 (pow x 3))) (* (sin (acos x)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 1/4 (* (sqrt x) (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))))))) (* 3/8 (sin (acos x))))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (* (sin (acos x)) (pow (sqrt -1) 2))))) x)) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 1/2 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x)))))))))) (sin (acos x))))))
(* -1 (* x (- (* 1/2 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x)))))))))) (sin (acos x)))))
(* -1 (* x (- (+ (* 1/2 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x)))))))))) (* 1/2 (/ (sin (acos x)) x))) (sin (acos x)))))
(* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/4 (* (sqrt x) (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))))))) (* 3/8 (sin (acos x)))) x)) (* 1/2 (sin (acos x)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))))))))) (sin (acos x)))))
(* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -3/16 (/ (sin (acos x)) x)) (* 1/4 (* (sqrt x) (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x)))))))))) (* 3/8 (sin (acos x)))) x)) (* 1/2 (sin (acos x)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))))))))) (sin (acos x)))))
(* -1/2 (* (sqrt x) (* (pow (sqrt -1) 2) (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))))))))
(* -1 (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))))))) (* 1/2 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x)))))))))))))
(* -1 (* x (+ (* -1/16 (* (sqrt (/ 1 (pow x 5))) (/ (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))))) (pow (sqrt -1) 2)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))))))) (+ (* 1/2 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x)))))))))) (* 1/2 (* (sqrt (/ 1 (pow x 9))) (* (pow (sqrt -1) 2) (- (* -1/4 (/ (* x (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x)))))) (pow (sqrt -1) 2))) (* -1/4 (/ x (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (pow (sqrt -1) 2)))))))))))))
(* -1 (* x (+ (* -1/16 (* (sqrt (/ 1 (pow x 5))) (/ (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))))) (pow (sqrt -1) 2)))) (+ (* 1/32 (* (sqrt (/ 1 (pow x 7))) (/ (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))))) (pow (sqrt -1) 4)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))))))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 11))) (- (* -1/4 (/ (* x (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x)))))) (pow (sqrt -1) 2))) (* -1/4 (/ x (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (pow (sqrt -1) 2))))))) (+ (* 1/2 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x)))))))))) (* 1/2 (* (sqrt (/ 1 (pow x 9))) (* (pow (sqrt -1) 2) (- (* -1/4 (/ (* x (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x)))))) (pow (sqrt -1) 2))) (* -1/4 (/ x (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (pow (sqrt -1) 2)))))))))))))))
(* 1/2 (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))))))
(+ (* 1/2 (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x)))))))) (* 1/2 (/ (- (* -1/4 (/ (* x (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x)))))) (pow (sqrt -1) 2))) (* -1/4 (/ x (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (pow (sqrt -1) 2))))) (pow x 4))))
(+ (* 1/2 (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x)))))))) (+ (* 1/2 (/ (+ (* -1/16 (/ (* (pow x 2) (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x)))))) (pow (sqrt -1) 4))) (* 1/8 (/ (pow x 2) (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (pow (sqrt -1) 4))))) (pow x 8))) (* 1/2 (/ (- (* -1/4 (/ (* x (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x)))))) (pow (sqrt -1) 2))) (* -1/4 (/ x (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (pow (sqrt -1) 2))))) (pow x 4)))))
(+ (* 1/2 (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x)))))))) (+ (* 1/2 (/ (+ (* -1/16 (/ (* (pow x 2) (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x)))))) (pow (sqrt -1) 4))) (* 1/8 (/ (pow x 2) (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (pow (sqrt -1) 4))))) (pow x 8))) (+ (* 1/2 (/ (- (* -1/4 (/ (* x (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x)))))) (pow (sqrt -1) 2))) (* -1/4 (/ x (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (pow (sqrt -1) 2))))) (pow x 4))) (* 1/2 (/ (- (* -1/32 (/ (* (pow x 3) (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x)))))) (pow (sqrt -1) 6))) (* -5/64 (/ (pow x 3) (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (pow (sqrt -1) 6))))) (pow x 12))))))
(* -1 (* (pow x 3) (- 1 (/ 1 x))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
(* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (* (sqrt -1) (- 1 (* -1/4 x))))) (* 1/2 (* (sqrt x) (sqrt -1)))) (pow x 3))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* (pow x 2) (+ (* 1/2 (sqrt (/ 1 (pow x 7)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 13))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 7)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 13))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 19))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 7)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
Calls

3 calls:

TimeVariablePointExpression
30.0ms
x
@inf
((+ (* (* (+ (* (* x x) 7/128) 1/8) (* x x)) x) x) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (* x x) 7/128) 1/8) (* x x)) (+ (* (* x x) 7/128) 1/8) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (sqrt (- 1 x)) (+ (* -1/2 x) 1) (- (/ (sqrt (- 1 (pow x 4))) (sqrt (* (+ (* x x) 1) (- 1 x)))) (sqrt (- 1 x))) (/ (sqrt (- 1 (pow x 4))) (sqrt (* (+ (* x x) 1) (- 1 x)))) (sqrt (- 1 (pow x 4))) (- 1 (pow x 4)) (- (* (+ x 1) (- (sqrt (+ x 1)) (sqrt (- 1 x)))) (* (- (sqrt (+ x 1)) (sqrt (- 1 x))) (- 1 x))) (/ (- (* (+ x 1) (- (sqrt (+ x 1)) (sqrt (- 1 x)))) (* (- (sqrt (+ x 1)) (sqrt (- 1 x))) (- 1 x))) (+ (- (exp (log (+ 1 x))) 1) x)) (- (exp (log (+ 1 x))) 1) (* (+ x 1) (- (sqrt (+ x 1)) (sqrt (- 1 x)))) (/ (- (* (cosh (asinh (pow x 3/2))) (sqrt (+ x 1))) (* (sqrt (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* x x))) (sin (acos x)))) (* (sqrt (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* x x))) (sqrt (+ x 1)))) (- (* (cosh (asinh (pow x 3/2))) (sqrt (+ x 1))) (* (sqrt (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* x x))) (sin (acos x)))) (* (cosh (asinh (pow x 3/2))) (sqrt (+ x 1))) (cosh (asinh (pow x 3/2))) (* x x) (* (+ (* x x) 1) (- 1 x)) (sqrt (* (+ (* x x) 1) (- 1 x))) (- (sqrt (+ x 1)) (sqrt (- 1 x))) (* (sqrt (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* x x))) (sqrt (+ x 1))))
23.0ms
x
@-inf
((+ (* (* (+ (* (* x x) 7/128) 1/8) (* x x)) x) x) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (* x x) 7/128) 1/8) (* x x)) (+ (* (* x x) 7/128) 1/8) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (sqrt (- 1 x)) (+ (* -1/2 x) 1) (- (/ (sqrt (- 1 (pow x 4))) (sqrt (* (+ (* x x) 1) (- 1 x)))) (sqrt (- 1 x))) (/ (sqrt (- 1 (pow x 4))) (sqrt (* (+ (* x x) 1) (- 1 x)))) (sqrt (- 1 (pow x 4))) (- 1 (pow x 4)) (- (* (+ x 1) (- (sqrt (+ x 1)) (sqrt (- 1 x)))) (* (- (sqrt (+ x 1)) (sqrt (- 1 x))) (- 1 x))) (/ (- (* (+ x 1) (- (sqrt (+ x 1)) (sqrt (- 1 x)))) (* (- (sqrt (+ x 1)) (sqrt (- 1 x))) (- 1 x))) (+ (- (exp (log (+ 1 x))) 1) x)) (- (exp (log (+ 1 x))) 1) (* (+ x 1) (- (sqrt (+ x 1)) (sqrt (- 1 x)))) (/ (- (* (cosh (asinh (pow x 3/2))) (sqrt (+ x 1))) (* (sqrt (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* x x))) (sin (acos x)))) (* (sqrt (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* x x))) (sqrt (+ x 1)))) (- (* (cosh (asinh (pow x 3/2))) (sqrt (+ x 1))) (* (sqrt (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* x x))) (sin (acos x)))) (* (cosh (asinh (pow x 3/2))) (sqrt (+ x 1))) (cosh (asinh (pow x 3/2))) (* x x) (* (+ (* x x) 1) (- 1 x)) (sqrt (* (+ (* x x) 1) (- 1 x))) (- (sqrt (+ x 1)) (sqrt (- 1 x))) (* (sqrt (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* x x))) (sqrt (+ x 1))))
8.0ms
x
@0
((+ (* (* (+ (* (* x x) 7/128) 1/8) (* x x)) x) x) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (* x x) 7/128) 1/8) (* x x)) (+ (* (* x x) 7/128) 1/8) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (sqrt (- 1 x)) (+ (* -1/2 x) 1) (- (/ (sqrt (- 1 (pow x 4))) (sqrt (* (+ (* x x) 1) (- 1 x)))) (sqrt (- 1 x))) (/ (sqrt (- 1 (pow x 4))) (sqrt (* (+ (* x x) 1) (- 1 x)))) (sqrt (- 1 (pow x 4))) (- 1 (pow x 4)) (- (* (+ x 1) (- (sqrt (+ x 1)) (sqrt (- 1 x)))) (* (- (sqrt (+ x 1)) (sqrt (- 1 x))) (- 1 x))) (/ (- (* (+ x 1) (- (sqrt (+ x 1)) (sqrt (- 1 x)))) (* (- (sqrt (+ x 1)) (sqrt (- 1 x))) (- 1 x))) (+ (- (exp (log (+ 1 x))) 1) x)) (- (exp (log (+ 1 x))) 1) (* (+ x 1) (- (sqrt (+ x 1)) (sqrt (- 1 x)))) (/ (- (* (cosh (asinh (pow x 3/2))) (sqrt (+ x 1))) (* (sqrt (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* x x))) (sin (acos x)))) (* (sqrt (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* x x))) (sqrt (+ x 1)))) (- (* (cosh (asinh (pow x 3/2))) (sqrt (+ x 1))) (* (sqrt (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* x x))) (sin (acos x)))) (* (cosh (asinh (pow x 3/2))) (sqrt (+ x 1))) (cosh (asinh (pow x 3/2))) (* x x) (* (+ (* x x) 1) (- 1 x)) (sqrt (* (+ (* x x) 1) (- 1 x))) (- (sqrt (+ x 1)) (sqrt (- 1 x))) (* (sqrt (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* x x))) (sqrt (+ x 1))))

simplify189.0ms (2.4%)

Memory
-16.1MiB live, 219.8MiB allocated; 30ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08918004
131456478
084826166
Stop Event
1×iter limit
1×node limit
Counts
163 → 162
Calls
Call 1
Inputs
x
(* x (+ 1 (* 1/8 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))
1/8
(+ 1/8 (* 7/128 (pow x 2)))
1
(+ 1 (* 1/2 x))
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(+ 1 (* -1 (pow x 4)))
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(* (pow x 2) (+ 2 (* (pow x 2) (+ 1/4 (* 7/64 (pow x 2))))))
(* (pow x 2) (+ 2 (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 7/64 (* 33/512 (pow x 2))))))))
(* x (+ 1 x))
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(* 7/128 (pow x 5))
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(* (pow x 5) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
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(* 7/128 (pow x 4))
(* (pow x 4) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))
(* 7/128 (pow x 2))
(* (pow x 2) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))
(sqrt x)
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(* (pow x 2) (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -1 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) (+ (* -1 (/ (- (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (pow x 4))) (+ (* -1 (/ (- (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (pow x 2))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
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(* 1/2 (* x (- (sqrt (/ 1 x)) (+ (* -1 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* x (+ (* 1/2 (- (sqrt (/ 1 x)) (+ (* -1 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) (* 1/2 (/ (- (* 1/2 (sqrt x)) (+ (* -1 (- (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (pow x 2)))))
(* x (+ (* 1/2 (- (sqrt (/ 1 x)) (+ (* -1 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) (+ (* 1/2 (/ (- (* -1/8 (sqrt (pow x 3))) (+ (* -1 (- (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3)))))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3)))))) (pow x 4))) (* 1/2 (/ (- (* 1/2 (sqrt x)) (+ (* -1 (- (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (pow x 2))))))
(* x (+ (* 1/2 (- (sqrt (/ 1 x)) (+ (* -1 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) (+ (* 1/2 (/ (- (* -1/8 (sqrt (pow x 3))) (+ (* -1 (- (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3)))))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3)))))) (pow x 4))) (+ (* 1/2 (/ (- (* 1/16 (sqrt (pow x 5))) (+ (* -1 (- (* 1/16 (sqrt (pow x 5))) (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 5)))))) (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 5)))))) (pow x 6))) (* 1/2 (/ (- (* 1/2 (sqrt x)) (+ (* -1 (- (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (pow x 2)))))))
(* (pow x 2) (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))
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(* (sqrt (/ 1 x)) (- (* 1/2 (* (sqrt (/ 1 x)) (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))))))) (sin (acos x))))
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(+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sin (acos x)))) (+ (* (sqrt (/ 1 x)) (- (* 1/2 (* (sqrt (/ 1 x)) (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))))))) (sin (acos x)))) (* (sqrt (/ 1 (pow x 5))) (- (* 1/4 (* (sqrt x) (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))))))) (* 3/8 (sin (acos x)))))))
(+ (* -3/16 (* (sqrt (/ 1 (pow x 7))) (sin (acos x)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sin (acos x)))) (+ (* (sqrt (/ 1 x)) (- (* 1/2 (* (sqrt (/ 1 x)) (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))))))) (sin (acos x)))) (* (sqrt (/ 1 (pow x 5))) (- (* 1/4 (* (sqrt x) (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))))))) (* 3/8 (sin (acos x))))))))
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(* 1/2 (* (sqrt x) (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x)))))))))
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(* -1 (pow x 3))
(* (pow x 3) (- (/ 1 x) 1))
(* (pow x 3) (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))))
(* (sqrt (pow x 3)) (sqrt -1))
(* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (/ (- 1 (* 1/4 (/ x (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(sqrt (pow x 3))
(* (pow x 2) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 7))))))
(* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 13)))) (* 1/2 (sqrt (/ 1 (pow x 7)))))))
(* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 13)))) (+ (* 1/16 (sqrt (/ 1 (pow x 19)))) (* 1/2 (sqrt (/ 1 (pow x 7))))))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 2))) 7/128)))
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* -1 (* x (- 1/2 (/ 1 x))))
(* (pow x 2) (- (+ (* -1 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* (pow x 2) (- (+ (* -1 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))) (+ (* -1 (/ (- (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) (pow x 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* (pow x 2) (- (+ (* -1 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))) (+ (* -1 (/ (- (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (sqrt -1)))) (pow x 4))) (+ (* -1 (/ (- (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) (pow x 2))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* (pow x 2) (- (+ (* -1 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))) (+ (* -1 (/ (- (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (sqrt -1)))) (pow x 4))) (+ (* -1 (/ (- (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 4)))) (* 1/16 (* (sqrt (pow x 5)) (sqrt -1)))) (pow x 6))) (+ (* -1 (/ (- (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) (pow x 2))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* 1/2 (* x (- (+ (* -1 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/2 (- (+ (* -1 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1/2 (/ (- (+ (* -1 (- (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1))))) (* 1/2 (* (sqrt x) (sqrt -1)))) (* 1/2 (sqrt x))) (pow x 2))))))
(* -1 (* x (+ (* -1/2 (- (+ (* -1 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1/2 (/ (- (+ (* -1 (- (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))))) (* -1/8 (* (sqrt (pow x 3)) (sqrt -1)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (pow x 4))) (* -1/2 (/ (- (+ (* -1 (- (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1))))) (* 1/2 (* (sqrt x) (sqrt -1)))) (* 1/2 (sqrt x))) (pow x 2)))))))
(* -1 (* x (+ (* -1/2 (- (+ (* -1 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1/2 (/ (- (+ (* -1 (- (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))))) (* -1/8 (* (sqrt (pow x 3)) (sqrt -1)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (pow x 4))) (+ (* -1/2 (/ (- (+ (* -1 (- (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 4)))) (* 1/16 (* (sqrt (pow x 5)) (sqrt -1))))) (* 1/16 (* (sqrt (pow x 5)) (sqrt -1)))) (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 4))))) (pow x 6))) (* -1/2 (/ (- (+ (* -1 (- (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1))))) (* 1/2 (* (sqrt x) (sqrt -1)))) (* 1/2 (sqrt x))) (pow x 2))))))))
(* -1 (* (pow x 2) (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))))
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(* (pow x 2) (+ (* -1 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))) (* -1 (/ (- (+ (* 1/2 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 x)) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))) x))))
(* (pow x 2) (+ (* -1 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))) (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (- (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1))))) (* -1 (/ (- (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (sqrt -1))) x))))
(* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 1/2 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x)))))))))) (sin (acos x)))))
(+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sin (acos x)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 1/2 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x)))))))))) (sin (acos x))))))
(+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (* (pow (sqrt -1) 2) (- (* 1/4 (* (sqrt x) (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))))))) (* 3/8 (sin (acos x))))))) (* -1/2 (* (sqrt (/ 1 x)) (* (sin (acos x)) (pow (sqrt -1) 2))))) x)) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 1/2 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x)))))))))) (sin (acos x))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -3/16 (* (sqrt (/ 1 (pow x 3))) (* (sin (acos x)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 1/4 (* (sqrt x) (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))))))) (* 3/8 (sin (acos x))))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (* (sin (acos x)) (pow (sqrt -1) 2))))) x)) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 1/2 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x)))))))))) (sin (acos x))))))
(* -1 (* x (- (* 1/2 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x)))))))))) (sin (acos x)))))
(* -1 (* x (- (+ (* 1/2 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x)))))))))) (* 1/2 (/ (sin (acos x)) x))) (sin (acos x)))))
(* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/4 (* (sqrt x) (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))))))) (* 3/8 (sin (acos x)))) x)) (* 1/2 (sin (acos x)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))))))))) (sin (acos x)))))
(* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -3/16 (/ (sin (acos x)) x)) (* 1/4 (* (sqrt x) (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x)))))))))) (* 3/8 (sin (acos x)))) x)) (* 1/2 (sin (acos x)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))))))))) (sin (acos x)))))
(* -1/2 (* (sqrt x) (* (pow (sqrt -1) 2) (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))))))))
(* -1 (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))))))) (* 1/2 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x)))))))))))))
(* -1 (* x (+ (* -1/16 (* (sqrt (/ 1 (pow x 5))) (/ (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))))) (pow (sqrt -1) 2)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))))))) (+ (* 1/2 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x)))))))))) (* 1/2 (* (sqrt (/ 1 (pow x 9))) (* (pow (sqrt -1) 2) (- (* -1/4 (/ (* x (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x)))))) (pow (sqrt -1) 2))) (* -1/4 (/ x (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (pow (sqrt -1) 2)))))))))))))
(* -1 (* x (+ (* -1/16 (* (sqrt (/ 1 (pow x 5))) (/ (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))))) (pow (sqrt -1) 2)))) (+ (* 1/32 (* (sqrt (/ 1 (pow x 7))) (/ (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))))) (pow (sqrt -1) 4)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))))))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 11))) (- (* -1/4 (/ (* x (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x)))))) (pow (sqrt -1) 2))) (* -1/4 (/ x (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (pow (sqrt -1) 2))))))) (+ (* 1/2 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x)))))))))) (* 1/2 (* (sqrt (/ 1 (pow x 9))) (* (pow (sqrt -1) 2) (- (* -1/4 (/ (* x (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x)))))) (pow (sqrt -1) 2))) (* -1/4 (/ x (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (pow (sqrt -1) 2)))))))))))))))
(* 1/2 (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))))))
(+ (* 1/2 (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x)))))))) (* 1/2 (/ (- (* -1/4 (/ (* x (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x)))))) (pow (sqrt -1) 2))) (* -1/4 (/ x (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (pow (sqrt -1) 2))))) (pow x 4))))
(+ (* 1/2 (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x)))))))) (+ (* 1/2 (/ (+ (* -1/16 (/ (* (pow x 2) (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x)))))) (pow (sqrt -1) 4))) (* 1/8 (/ (pow x 2) (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (pow (sqrt -1) 4))))) (pow x 8))) (* 1/2 (/ (- (* -1/4 (/ (* x (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x)))))) (pow (sqrt -1) 2))) (* -1/4 (/ x (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (pow (sqrt -1) 2))))) (pow x 4)))))
(+ (* 1/2 (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x)))))))) (+ (* 1/2 (/ (+ (* -1/16 (/ (* (pow x 2) (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x)))))) (pow (sqrt -1) 4))) (* 1/8 (/ (pow x 2) (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (pow (sqrt -1) 4))))) (pow x 8))) (+ (* 1/2 (/ (- (* -1/4 (/ (* x (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x)))))) (pow (sqrt -1) 2))) (* -1/4 (/ x (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (pow (sqrt -1) 2))))) (pow x 4))) (* 1/2 (/ (- (* -1/32 (/ (* (pow x 3) (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x)))))) (pow (sqrt -1) 6))) (* -5/64 (/ (pow x 3) (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -2 (log (/ -1 x))))) (pow (sqrt -1) 6))))) (pow x 12))))))
(* -1 (* (pow x 3) (- 1 (/ 1 x))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
(* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (* (sqrt -1) (- 1 (* -1/4 x))))) (* 1/2 (* (sqrt x) (sqrt -1)))) (pow x 3))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* (pow x 2) (+ (* 1/2 (sqrt (/ 1 (pow x 7)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 13))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 7)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 13))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 19))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 7)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
Outputs
x
(* x (+ 1 (* 1/8 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
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(* 1/8 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
(* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))
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1/8
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(* x (+ (* 1/2 (- (sqrt (/ 1 x)) (+ (* -1 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) (+ (* 1/2 (/ (- (* -1/8 (sqrt (pow x 3))) (+ (* -1 (- (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3)))))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3)))))) (pow x 4))) (+ (* 1/2 (/ (- (* 1/16 (sqrt (pow x 5))) (+ (* -1 (- (* 1/16 (sqrt (pow x 5))) (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 5)))))) (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 5)))))) (pow x 6))) (* 1/2 (/ (- (* 1/2 (sqrt x)) (+ (* -1 (- (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (pow x 2)))))))
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(* (pow x 2) (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))
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(* (pow x 2) (- (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 (pow x 3))) (sqrt -1))))))
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(* (pow x 2) (- (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 (pow x 3))) (sqrt -1)))))))
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(* (sqrt (/ 1 x)) (- (* 1/2 (* (sqrt (/ 1 x)) (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -2 (log (/ 1 x))))))))) (sin (acos x))))
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(* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 13))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 7)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
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(* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 13))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 19))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 7)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 13 binary64)))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 19 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))) (*.f64 x x))

rewrite204.0ms (2.6%)

Memory
-7.5MiB live, 189.3MiB allocated; 37ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058347
099356
1397295
23248273
08315264
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 445
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)) x x)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
(*.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) (*.f64 x x))
#s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64))
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (sqrt (- 1 x)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (sqrt (+ 1 x)) #s(literal 1 binary64))
#s(approx (sqrt (- 1 x)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))
(-.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x))) (+.f64 (expm1.f64 (log1p.f64 x)) x))
(expm1.f64 (log1p.f64 x))
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (sin.f64 (acos.f64 x)))) (*.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (*.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (sin.f64 (acos.f64 x))))
(*.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 x x)
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
Outputs
(*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64))) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64))) x))
(/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (pow.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64))))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64))))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64))))
(fma.f64 (*.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64))))
(fma.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) x) x) x x)
(fma.f64 (*.f64 x x) (*.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) x) x)
(fma.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64))))
(fma.f64 x (*.f64 (*.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) x) x) x)
(-.f64 (/.f64 (*.f64 (pow.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64))) x)))
(-.f64 x (*.f64 (neg.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) x) x)) x))
(-.f64 x (*.f64 (neg.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 3 binary64))))
(-.f64 x (*.f64 (neg.f64 x) (*.f64 (*.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) x) x)))
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64))) x)
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) x))
(*.f64 (*.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) x) x)
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64))))
(*.f64 (*.f64 x x) #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)))
(*.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) (*.f64 x x))
(*.f64 x (*.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) x))
#s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 #s(approx (sqrt (- 1 x)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(approx (sqrt (- 1 x)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))) #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 #s(approx (sqrt (- 1 x)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (sqrt (- 1 x)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(approx (sqrt (- 1 x)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))) #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64))) (pow.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 #s(approx (sqrt (- 1 x)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64))) (+.f64 #s(approx (sqrt (- 1 x)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))) #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 #s(approx (sqrt (- 1 x)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(approx (sqrt (- 1 x)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(approx (sqrt (- 1 x)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))) #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64))) (pow.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(approx (sqrt (- 1 x)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))) #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)))) (/.f64 (pow.f64 #s(approx (sqrt (- 1 x)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)) (+.f64 #s(approx (sqrt (- 1 x)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))) #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 #s(approx (sqrt (- 1 x)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(approx (sqrt (- 1 x)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))) #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64))) (pow.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (sqrt (- 1 x)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64)) (fma.f64 #s(approx (sqrt (- 1 x)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(approx (sqrt (- 1 x)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))) #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64))) (pow.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (sqrt (- 1 x)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (sqrt (+ 1 x)) #s(literal 1 binary64))
#s(approx (sqrt (- 1 x)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (+.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (+.f64 (+.f64 x #s(literal 0 binary64)) x)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (+.f64 x #s(literal 0 binary64)) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (+.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (+.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fabs.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
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(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x))
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (hypot.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (sin.f64 (acos.f64 x)) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)))
(exp.f64 (fma.f64 (log1p.f64 (-.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (log1p.f64 x))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log1p.f64 x) (*.f64 (log1p.f64 (-.f64 (*.f64 x x) x)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))

eval97.0ms (1.2%)

Memory
27.2MiB live, 222.7MiB allocated; 16ms collecting garbage
Compiler

Compiled 26 014 to 2 844 computations (89.1% saved)

prune53.0ms (0.7%)

Memory
-12.8MiB live, 41.9MiB allocated; 5ms collecting garbage
Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New5942596
Fresh213
Picked325
Done033
Total5998607
Accuracy
100.0%
Counts
607 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 (+.f64 x #s(literal 0 binary64)) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
8.3%
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
✓8.3%
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
7.5%
(-.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 #s(approx (+ (* -1/8 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
✓6.2%
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
✓4.0%
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (sqrt (- 1 x)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))))
✓99.5%
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
✓99.3%
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
Compiler

Compiled 755 to 271 computations (64.1% saved)

regimes33.0ms (0.4%)

Memory
-28.3MiB live, 19.1MiB allocated; 1ms collecting garbage
Counts
30 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (sqrt (- 1 x)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))))
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
(-.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 #s(approx (+ (* -1/8 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
(-.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 #s(approx (+ (* -1/8 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
(-.f64 #s(approx (sqrt (+ 1 x)) #s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
(-.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (+.f64 x #s(literal 0 binary64)) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x))
(-.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) x) #s(literal 1 binary64)))) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x)))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x)))
(-.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x))) (+.f64 (expm1.f64 (log1p.f64 x)) x))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (hypot.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) x)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (sin.f64 (acos.f64 x)) (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64))))) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x)))
(/.f64 (-.f64 (*.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (sin.f64 (acos.f64 x)))) (*.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Outputs
(/.f64 (+.f64 (+.f64 x #s(literal 0 binary64)) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
Calls

2 calls:

8.0ms
x
6.0ms
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
100.0%1(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
100.0%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes10.0ms (0.1%)

Memory
19.7MiB live, 19.7MiB allocated; 0ms collecting garbage
Counts
18 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (sqrt (- 1 x)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))))
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
(-.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 #s(approx (+ (* -1/8 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
(-.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 #s(approx (+ (* -1/8 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
(-.f64 #s(approx (sqrt (+ 1 x)) #s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
(-.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
Outputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
Calls

2 calls:

5.0ms
x
4.0ms
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
99.5%1(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
99.5%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes7.0ms (0.1%)

Memory
11.0MiB live, 11.0MiB allocated; 0ms collecting garbage
Counts
11 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (sqrt (- 1 x)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))))
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
(-.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 #s(approx (+ (* -1/8 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
(-.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 #s(approx (+ (* -1/8 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
(-.f64 #s(approx (sqrt (+ 1 x)) #s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
Outputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
Calls

2 calls:

3.0ms
x
3.0ms
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
99.3%1(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
99.3%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0%)

Memory
6.0MiB live, 6.0MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (sqrt (- 1 x)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))))
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
(-.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 #s(approx (+ (* -1/8 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
Outputs
(-.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 #s(approx (+ (* -1/8 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
Calls

2 calls:

2.0ms
x
1.0ms
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
7.5%1(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
7.5%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0%)

Memory
5.2MiB live, 5.2MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (sqrt (- 1 x)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))))
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
Outputs
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
Calls

2 calls:

1.0ms
x
1.0ms
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
6.2%1x
6.2%1(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 10 to 8 computations (20% saved)

regimes7.0ms (0.1%)

Memory
-39.3MiB live, 4.6MiB allocated; 6ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

6.0ms
x
1.0ms
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
4.0%1x
4.0%1(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 10 to 8 computations (20% saved)

simplify27.0ms (0.3%)

Memory
27.3MiB live, 27.3MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049124
171124
2125124
3222124
4318124
5330124
6336124
7389124
8644124
9705124
10772124
11874124
121041124
131046124
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 (+.f64 x #s(literal 0 binary64)) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
(-.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 #s(approx (+ (* -1/8 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (sqrt (- 1 x)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))))
Outputs
(/.f64 (+.f64 (+.f64 x #s(literal 0 binary64)) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
(-.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 #s(approx (+ (* -1/8 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (sqrt (- 1 x)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))))

derivations1.1s (13.7%)

Memory
7.5MiB live, 488.8MiB allocated; 67ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0161946
1517835
22097771
08211721
0720
01220
14820
232820
3434320
0885120
02461289
17971177
230101113
082941052
041228
074213
1316198
22638198
08768198
058347
099356
1397295
23248273
08315264
050306
081280
1318232
22515230
09012228
02611376
18091250
229151176
084931119
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 124 to 52 computations (58.1% saved)

preprocess51.0ms (0.6%)

Memory
-27.3MiB live, 59.6MiB allocated; 13ms collecting garbage
Compiler

Compiled 292 to 138 computations (52.7% saved)

end0.0ms (0%)

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

Profiling

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