Given's Rotation SVD example, simplified

Time bar (total: 5.2s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 19 to 11 computations (42.1% saved)

sample1.9s (36.6%)

Memory
9.2MiB live, 2 267.7MiB allocated; 421ms collecting garbage
Samples
948.0ms2 859×2valid
431.0ms4 189×0valid
207.0ms1 208×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-hypot: 507.0ms (39% of total)
adjust: 221.0ms (17% of total)
ival-add!: 195.0ms (15% of total)
ival-sqrt: 141.0ms (10.9% of total)
ival-div!: 107.0ms (8.2% of total)
ival-mult!: 78.0ms (6% of total)
ival-sub!: 50.0ms (3.9% of total)
Bogosity

explain150.0ms (2.9%)

Memory
38.1MiB live, 277.4MiB allocated; 18ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
640-0-(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
00-0-(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
00-0-#s(literal 1 binary64)
00-0-(hypot.f64 #s(literal 1 binary64) x)
00-0-(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
00-0-(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
00-0-(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
00-0-#s(literal 1/2 binary64)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))cancellation641
Confusion
Predicted +Predicted -
+640
-0192
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6400
-01191
Precision?
0.9846153846153847
Recall?
1.0
Freqs
test
numberfreq
0192
164
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
47.0ms188×2valid
17.0ms264×0valid
15.0ms60×1valid
Compiler

Compiled 174 to 31 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-hypot: 22.0ms (39.2% of total)
ival-sqrt: 13.0ms (23.1% of total)
adjust: 7.0ms (12.5% of total)
ival-div!: 5.0ms (8.9% of total)
ival-mult!: 4.0ms (7.1% of total)
ival-sub!: 3.0ms (5.3% of total)
ival-add!: 2.0ms (3.6% of total)

preprocess245.0ms (4.7%)

Memory
-15.6MiB live, 225.8MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02246
16140
213340
329940
4124839
5645739
0912
01812
13510
28110
318710
460710
5271810
0812510
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
Outputs
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))))
Symmetry

(abs x)

Compiler

Compiled 12 to 9 computations (25% 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
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.3%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
Compiler

Compiled 12 to 9 computations (25% saved)

series7.0ms (0.1%)

Memory
14.6MiB live, 14.6MiB allocated; 0ms collecting garbage
Counts
9 → 69
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
#s(literal 1 binary64)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
(hypot.f64 #s(literal 1 binary64) x)
x
Outputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 1))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 2))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 1))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 1))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx x #s(hole binary64 x))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 3/16 (/ (sqrt 1/2) (pow x 3)))) (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 1/2))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 1))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 x))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ -1 x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@0
((- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) x)
2.0ms
x
@inf
((- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) x)
2.0ms
x
@-inf
((- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) x)

rewrite209.0ms (4%)

Memory
-27.7MiB live, 212.0MiB allocated; 44ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03161700
03261369
119981336
081381291
Stop Event
iter limit
node limit
iter limit
Counts
78 → 149
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
#s(literal 1 binary64)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
(hypot.f64 #s(literal 1 binary64) x)
x
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 1))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 2))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 1))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 1))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx x #s(hole binary64 x))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 3/16 (/ (sqrt 1/2) (pow x 3)))) (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 1/2))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 1))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 x))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ -1 x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
Outputs
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))) (/.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(*.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (fabs.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))
(pow.f64 (*.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) #s(literal -2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))) #s(literal -2 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)))) (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))
(sqrt.f64 (*.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x))))
#s(literal 1/2 binary64)
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (neg.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (*.f64 (neg.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (*.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 #s(literal 2 binary64) (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))
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(+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))
(pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))
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(cos.f64 (neg.f64 (atan.f64 x)))
(cos.f64 (atan.f64 (neg.f64 x)))
(cos.f64 (atan.f64 (fabs.f64 x)))
(cos.f64 (atan.f64 x))
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
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(cosh.f64 (asinh.f64 (fabs.f64 x)))
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(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(hypot.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log1p.f64 (*.f64 x x)) #s(literal 1/2 binary64)))
x
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
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#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(literal 2 binary64))
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#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (fma.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
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#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(literal 1 binary64))
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#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
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#s(approx (sqrt (+ (* 1 1) (* x x))) #s(literal 1 binary64))
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#s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3/16 binary64) #s(literal 1 binary64)) (+.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (fma.f64 #s(literal -3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3/16 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(literal 1 binary64))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3/8 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/16 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)))) x))
#s(approx (sqrt (+ (* 1 1) (* x x))) x)
#s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
#s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/8 binary64))) x) #s(literal -1 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (pow.f64 #s(literal 1/2 binary64) #s(literal 7/2 binary64))) x)) (sqrt.f64 #s(literal 1/8 binary64))) x) #s(literal -1 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/8 binary64))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 3/16 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) x) #s(literal -1 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) x) #s(literal -1 binary64) #s(literal 1/2 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/16 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)))) x)))
#s(approx (sqrt (+ (* 1 1) (* x x))) (neg.f64 x))
#s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (neg.f64 x) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (neg.f64 x) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))

eval19.0ms (0.4%)

Memory
34.0MiB live, 34.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 3 533 to 825 computations (76.6% saved)

prune23.0ms (0.5%)

Memory
-22.5MiB live, 23.2MiB allocated; 7ms collecting garbage
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New13913152
Fresh000
Picked101
Done000
Total14013153
Accuracy
77.3%
Counts
153 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.1%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
77.1%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
77.1%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))) (/.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))))
77.1%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
76.3%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
75.1%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
52.1%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))))))
26.1%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))))
26.1%
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
51.1%
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
51.5%
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
27.8%
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
26.9%
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
Compiler

Compiled 688 to 404 computations (41.3% saved)

series34.0ms (0.6%)

Memory
14.9MiB live, 60.8MiB allocated; 6ms collecting garbage
Counts
36 → 89
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))) (/.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))
(cos.f64 (atan.f64 x))
(atan.f64 x)
x
#s(literal 1/2 binary64)
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
(pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) x)
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 3/8 binary64) (*.f64 x x))
#s(literal 3/8 binary64)
(*.f64 x x)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
Outputs
#s(approx (- (/ 1 (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))))) (/ (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))))))) #s(hole binary64 (- (/ 1 (+ 1 (+ (* 1/2 (+ 1 (cos (atan x)))) (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))) (* (/ (sqrt 1/8) (+ 1 (+ (* 1/2 (+ 1 (cos (atan x)))) (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))) (sqrt (pow (+ 1 (cos (atan x))) 3))))))
#s(approx (/ 1 (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))))) #s(hole binary64 (/ 1 (+ 1 (+ (* 1/2 (+ 1 (cos (atan x)))) (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))))))
#s(approx (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))))) #s(hole binary64 (+ 1 (+ (* 1/2 (+ 1 (cos (atan x)))) (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))))
#s(approx (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) #s(hole binary64 (+ (* 1/2 (+ 1 (cos (atan x)))) (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))))
#s(approx (+ (cos (atan x)) 1) #s(hole binary64 (+ 1 (cos (atan x)))))
#s(approx (cos (atan x)) #s(hole binary64 (cos (atan x))))
#s(approx (atan x) #s(hole binary64 (atan x)))
#s(approx x #s(hole binary64 x))
#s(approx (* 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) #s(hole binary64 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))
#s(approx (sqrt (* (+ (cos (atan x)) 1) 1/2)) #s(hole binary64 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))
#s(approx (* (+ (cos (atan x)) 1) 1/2) #s(hole binary64 (* 1/2 (+ 1 (cos (atan x))))))
#s(approx (/ (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))))) #s(hole binary64 (* (/ (sqrt 1/8) (+ 1 (+ (* 1/2 (+ 1 (cos (atan x)))) (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))) (sqrt (pow (+ 1 (cos (atan x))) 3)))))
#s(approx (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) #s(hole binary64 (* (sqrt 1/8) (sqrt (pow (+ 1 (cos (atan x))) 3)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 1))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (+ (/ 1/2 x) 1/2) #s(hole binary64 (/ 1/2 x)))
#s(approx (+ (/ 1/2 x) 1/2) #s(hole binary64 (/ (+ 1/2 (* 1/2 x)) x)))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 2))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 1))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (+ (* (- (* 3/8 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 3/8 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (- (* 3/8 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (- (* 3/8 (* x x)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* 3/8 (* x x)) 1/2) #s(hole binary64 (- (* 3/8 (pow x 2)) 1/2)))
#s(approx (* 3/8 (* x x)) #s(hole binary64 (* 3/8 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) #s(hole binary64 (/ (- 1 (* 1/2 (+ 1 (cos (atan x))))) (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))))
#s(approx (- 1 (* (+ (cos (atan x)) 1) 1/2)) #s(hole binary64 (- 1 (* 1/2 (+ 1 (cos (atan x)))))))
#s(approx (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) #s(hole binary64 (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 3/16 (/ (sqrt 1/2) (pow x 3)))) (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 1/2))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))))
#s(approx (+ (/ 1/2 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (/ 1/2 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 1))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)))
#s(approx (+ (* (- (* 3/8 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 3/8 (pow x 4))))
#s(approx (+ (* (- (* 3/8 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 3/8 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 3/8 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 3/8 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* 3/8 (* x x)) 1/2) #s(hole binary64 (* 3/8 (pow x 2))))
#s(approx (- (* 3/8 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- 3/8 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ -1 x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x))))
Calls

3 calls:

TimeVariablePointExpression
12.0ms
x
@inf
((- (/ 1 (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))))) (/ (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))))))) (/ 1 (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))))) 1 (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))))) (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) x 1/2 (* 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) (sqrt (* (+ (cos (atan x)) 1) 1/2)) (* (+ (cos (atan x)) 1) 1/2) (/ (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))))) (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) 3/2 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 0 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (+ (* (- (* 3/8 (* x x)) 1/2) (* x x)) 1) (- (* 3/8 (* x x)) 1/2) (* 3/8 (* x x)) 3/8 (* x x) (/ (- 1 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (- 1 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))))
11.0ms
x
@-inf
((- (/ 1 (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))))) (/ (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))))))) (/ 1 (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))))) 1 (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))))) (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) x 1/2 (* 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) (sqrt (* (+ (cos (atan x)) 1) 1/2)) (* (+ (cos (atan x)) 1) 1/2) (/ (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))))) (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) 3/2 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 0 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (+ (* (- (* 3/8 (* x x)) 1/2) (* x x)) 1) (- (* 3/8 (* x x)) 1/2) (* 3/8 (* x x)) 3/8 (* x x) (/ (- 1 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (- 1 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))))
8.0ms
x
@0
((- (/ 1 (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))))) (/ (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))))))) (/ 1 (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))))) 1 (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))))) (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) x 1/2 (* 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) (sqrt (* (+ (cos (atan x)) 1) 1/2)) (* (+ (cos (atan x)) 1) 1/2) (/ (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))))) (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) 3/2 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 0 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (+ (* (- (* 3/8 (* x x)) 1/2) (* x x)) 1) (- (* 3/8 (* x x)) 1/2) (* 3/8 (* x x)) 3/8 (* x x) (/ (- 1 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (- 1 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))))

rewrite191.0ms (3.7%)

Memory
7.8MiB live, 242.2MiB allocated; 44ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03852798
04322235
123792051
081812016
Stop Event
iter limit
node limit
iter limit
Counts
125 → 470
Calls
Call 1
Inputs
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#s(literal 3/8 binary64)
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#s(approx (* x x) #s(hole binary64 (pow x 2)))
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#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))))
#s(approx (+ (/ 1/2 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (/ 1/2 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 1))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)))
#s(approx (+ (* (- (* 3/8 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 3/8 (pow x 4))))
#s(approx (+ (* (- (* 3/8 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 3/8 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 3/8 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 3/8 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* 3/8 (* x x)) 1/2) #s(hole binary64 (* 3/8 (pow x 2))))
#s(approx (- (* 3/8 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- 3/8 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
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#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))))
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#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ -1 x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x))))
Outputs
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(pow.f64 (*.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3/16 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ (/ 1/2 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (/ 1/2 x) 1/2) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(literal 1 binary64))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3/8 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/16 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)))) x))
#s(approx (+ (* (- (* 3/8 (* x x)) 1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/8 binary64)))
#s(approx (+ (* (- (* 3/8 (* x x)) 1/2) (* x x)) 1) (*.f64 (-.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (- (* 3/8 (* x x)) 1/2) (* x x)) 1) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/8 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* 3/8 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 3/8 binary64)))
#s(approx (- (* 3/8 (* x x)) 1/2) (*.f64 (-.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) (*.f64 x x)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/8 binary64))) x) #s(literal -1 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (pow.f64 #s(literal 1/2 binary64) #s(literal 7/2 binary64))) x)) (sqrt.f64 #s(literal 1/8 binary64))) x) #s(literal -1 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/8 binary64))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 3/16 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) x) #s(literal -1 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) x) #s(literal -1 binary64) #s(literal 1/2 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/16 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)))) x)))

eval184.0ms (3.5%)

Memory
-38.4MiB live, 212.7MiB allocated; 30ms collecting garbage
Compiler

Compiled 42 661 to 3 499 computations (91.8% saved)

prune41.0ms (0.8%)

Memory
37.8MiB live, 85.4MiB allocated; 2ms collecting garbage
Pruning

21 alts after pruning (18 fresh and 3 done)

PrunedKeptTotal
New89712909
Fresh268
Picked235
Done000
Total90121922
Accuracy
77.4%
Counts
922 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.1%
(/.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))))))
77.1%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) (pow.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
77.1%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
51.7%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))))
77.1%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (asinh.f64 x))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
77.1%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
77.1%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (sin.f64 (+.f64 (atan.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
25.9%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/8 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/8 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
51.9%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))
77.1%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))) (/.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))))
77.1%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
53.0%
(-.f64 (exp.f64 (*.f64 (log1p.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))))
76.3%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
75.1%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
52.1%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))))))
26.1%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))))
26.1%
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
51.1%
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
51.5%
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (/ 1/2 x) 1/2) #s(literal 1/2 binary64)))))
27.8%
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
26.9%
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
Compiler

Compiled 1 576 to 704 computations (55.3% saved)

series49.0ms (0.9%)

Memory
-35.1MiB live, 59.0MiB allocated; 4ms collecting garbage
Counts
43 → 194
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) (pow.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))
(cos.f64 (atan.f64 x))
(atan.f64 x)
x
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
(pow.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (/ 1/2 x) 1/2) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (/ 1/2 x) 1/2) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (/ 1/2 x) 1/2) #s(literal 1/2 binary64)))
#s(approx (+ (/ 1/2 x) 1/2) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))))
(-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))
(pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 3/2 binary64))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) x)
(+.f64 #s(literal 1 binary64) (+.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))))
(+.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
Outputs
#s(approx (/ (- (* 1 (+ (+ (* (+ (cos (atan x)) 1) 1/2) (sqrt (* (+ (cos (atan x)) 1) 1/2))) 1)) (* (+ (+ (* (+ (cos (atan x)) 1) 1/2) (sqrt (* (+ (cos (atan x)) 1) 1/2))) 1) (pow (* (+ (cos (atan x)) 1) 1/2) 3/2))) (pow (+ (+ (* (+ (cos (atan x)) 1) 1/2) (sqrt (* (+ (cos (atan x)) 1) 1/2))) 1) 2)) #s(hole binary64 (/ (- (+ 1 (+ (* 1/2 (+ 1 (cos (atan x)))) (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))) (* (* (sqrt 1/8) (+ 1 (+ (* 1/2 (+ 1 (cos (atan x)))) (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))) (sqrt (pow (+ 1 (cos (atan x))) 3)))) (pow (+ 1 (+ (* 1/2 (+ 1 (cos (atan x)))) (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))) 2))))
#s(approx (- (* 1 (+ (+ (* (+ (cos (atan x)) 1) 1/2) (sqrt (* (+ (cos (atan x)) 1) 1/2))) 1)) (* (+ (+ (* (+ (cos (atan x)) 1) 1/2) (sqrt (* (+ (cos (atan x)) 1) 1/2))) 1) (pow (* (+ (cos (atan x)) 1) 1/2) 3/2))) #s(hole binary64 (- (+ 1 (+ (* 1/2 (+ 1 (cos (atan x)))) (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))) (* (* (sqrt 1/8) (+ 1 (+ (* 1/2 (+ 1 (cos (atan x)))) (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))) (sqrt (pow (+ 1 (cos (atan x))) 3))))))
#s(approx (* 1 (+ (+ (* (+ (cos (atan x)) 1) 1/2) (sqrt (* (+ (cos (atan x)) 1) 1/2))) 1)) #s(hole binary64 (+ 1 (+ (* 1/2 (+ 1 (cos (atan x)))) (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))))
#s(approx (+ (+ (* (+ (cos (atan x)) 1) 1/2) (sqrt (* (+ (cos (atan x)) 1) 1/2))) 1) #s(hole binary64 (+ 1 (+ (* 1/2 (+ 1 (cos (atan x)))) (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))))
#s(approx (+ (* (+ (cos (atan x)) 1) 1/2) (sqrt (* (+ (cos (atan x)) 1) 1/2))) #s(hole binary64 (+ (* 1/2 (+ 1 (cos (atan x)))) (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))))
#s(approx (+ (cos (atan x)) 1) #s(hole binary64 (+ 1 (cos (atan x)))))
#s(approx (cos (atan x)) #s(hole binary64 (cos (atan x))))
#s(approx (atan x) #s(hole binary64 (atan x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (* (+ (cos (atan x)) 1) 1/2)) #s(hole binary64 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))
#s(approx (* (+ (cos (atan x)) 1) 1/2) #s(hole binary64 (* 1/2 (+ 1 (cos (atan x))))))
#s(approx (* (+ (+ (* (+ (cos (atan x)) 1) 1/2) (sqrt (* (+ (cos (atan x)) 1) 1/2))) 1) (pow (* (+ (cos (atan x)) 1) 1/2) 3/2)) #s(hole binary64 (* (* (sqrt 1/8) (+ 1 (+ (* 1/2 (+ 1 (cos (atan x)))) (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))) (sqrt (pow (+ 1 (cos (atan x))) 3)))))
#s(approx (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) #s(hole binary64 (* (sqrt 1/8) (sqrt (pow (+ 1 (cos (atan x))) 3)))))
#s(approx (pow (+ (+ (* (+ (cos (atan x)) 1) 1/2) (sqrt (* (+ (cos (atan x)) 1) 1/2))) 1) 2) #s(hole binary64 (pow (+ 1 (+ (* 1/2 (+ 1 (cos (atan x)))) (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))) 2)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 1))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (+ (/ 1/2 x) 1/2) #s(hole binary64 (/ 1/2 x)))
#s(approx (+ (/ 1/2 x) 1/2) #s(hole binary64 (/ (+ 1/2 (* 1/2 x)) x)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) #s(hole binary64 (- 1 (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) #s(hole binary64 (- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(hole binary64 1))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* x x) 1)))) #s(hole binary64 2))
#s(approx (+ 1 (/ 1 (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 1))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (+ (* x x) 1) #s(hole binary64 1))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) #s(hole binary64 (* 3/8 (/ (pow x 2) (+ 2 (* (sqrt 1/2) (sqrt 2)))))))
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Calls

3 calls:

TimeVariablePointExpression
16.0ms
x
@-inf
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10.0ms
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rewrite291.0ms (5.6%)

Memory
31.8MiB live, 269.5MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08499149
09096414
158096414
085836224
Stop Event
iter limit
node limit
iter limit
Counts
237 → 431
Calls
Call 1
Inputs
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#s(approx (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) #s(hole binary64 (+ 3/2 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (+ (* 1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 x))))))))
#s(approx (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) #s(hole binary64 (- (+ 3/2 (+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (+ (* 1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 x))))))) (* 1/4 (/ 1 (pow x 3))))))
#s(approx (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) #s(hole binary64 (+ 1/2 (sqrt 1/2))))
#s(approx (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) #s(hole binary64 (+ 1/2 (+ (sqrt 1/2) (+ (* 1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 x)))))))
#s(approx (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) #s(hole binary64 (+ 1/2 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (+ (* 1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 x))))))))
#s(approx (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) #s(hole binary64 (- (+ 1/2 (+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (+ (* 1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 x))))))) (* 1/4 (/ 1 (pow x 3))))))
#s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (sqrt 1/2)))
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#s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* x x) 1)))) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (/ -1 x)))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) #s(hole binary64 (- (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ 1 (+ 3/2 (sqrt 1/2))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (* x (pow (+ 3/2 (sqrt 1/2)) 2))))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) #s(hole binary64 (- (+ (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/8 (/ (* (sqrt 1/2) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2))))) x)) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) x)) (/ 1 (+ 3/2 (sqrt 1/2)))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) #s(hole binary64 (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* 1/8 (/ (* (sqrt 1/2) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (+ (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/8 (/ (* (sqrt 1/2) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))))) (+ 3/2 (sqrt 1/2))) (/ (* (- 1 (sqrt 1/8)) (- (* -3/16 (sqrt 1/2)) 1/4)) (pow (+ 3/2 (sqrt 1/2)) 2))))) x)) (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) (+ (* -1 (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/8 (/ (* (sqrt 1/2) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2))))) x)) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) x)) (/ 1 (+ 3/2 (sqrt 1/2)))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))))
#s(approx (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) #s(hole binary64 (- (+ 1 (* 3/16 (/ 1 (* x (sqrt 1/8))))) (sqrt 1/8))))
#s(approx (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 3/16 (/ 1 (sqrt 1/8)))) x))) (sqrt 1/8))))
#s(approx (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) x)) (* 3/16 (/ 1 (sqrt 1/8)))) x))) (sqrt 1/8))))
#s(approx (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2) #s(hole binary64 (- (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8)))))))
#s(approx (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2) #s(hole binary64 (+ (sqrt 1/8) (* -1 (/ (+ (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 3/16 (/ 1 (sqrt 1/8)))) x)))))
#s(approx (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2) #s(hole binary64 (+ (sqrt 1/8) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) x)) (* 3/16 (/ 1 (sqrt 1/8)))) x)))))
#s(approx (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) #s(hole binary64 (+ 3/2 (+ (sqrt 1/2) (* -1 (/ (+ 1/2 (* 1/2 (sqrt 1/2))) x))))))
#s(approx (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) #s(hole binary64 (+ 3/2 (+ (sqrt 1/2) (* -1 (/ (+ 1/2 (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2)))) x))))))
#s(approx (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) #s(hole binary64 (+ 3/2 (+ (sqrt 1/2) (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1 (/ (- (* -3/16 (sqrt 1/2)) 1/4) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2)))) x))))))
#s(approx (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) #s(hole binary64 (+ 1/2 (+ (sqrt 1/2) (* -1 (/ (+ 1/2 (* 1/2 (sqrt 1/2))) x))))))
#s(approx (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) #s(hole binary64 (+ 1/2 (+ (sqrt 1/2) (* -1 (/ (+ 1/2 (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2)))) x))))))
#s(approx (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) #s(hole binary64 (+ 1/2 (+ (sqrt 1/2) (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1 (/ (- (* -3/16 (sqrt 1/2)) 1/4) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2)))) x))))))
#s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))))
#s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))))
Outputs
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(/.f64 (-.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))) (pow.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64)))
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(fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64))
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(fma.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
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(*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
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#s(approx (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (-.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/8 binary64))))
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#s(approx (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) (-.f64 (sqrt.f64 #s(literal 1/8 binary64)) (/.f64 #s(literal 3/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))))
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#s(approx (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 13/128 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) (/.f64 #s(literal 3/64 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) x) #s(literal -1 binary64) (/.f64 #s(literal 3/16 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal 1/8 binary64))))
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eval118.0ms (2.3%)

Memory
-67.3MiB live, 205.4MiB allocated; 61ms collecting garbage
Compiler

Compiled 44 933 to 2 793 computations (93.8% saved)

prune48.0ms (0.9%)

Memory
40.2MiB live, 79.8MiB allocated; 3ms collecting garbage
Pruning

16 alts after pruning (12 fresh and 4 done)

PrunedKeptTotal
New73610746
Fresh11213
Picked325
Done123
Total75116767
Accuracy
100.0%
Counts
767 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.1%
(/.f64 (-.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))) (pow.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64)))
77.1%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (asinh.f64 x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) (pow.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
77.1%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
55.7%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))) (-.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))))
77.1%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
52.1%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) (+.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) (sqrt.f64 #s(literal 1/8 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))))
51.6%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (/.f64 #s(literal 3/64 binary64) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/8 binary64))))) (/.f64 #s(literal 3/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))))) (+.f64 #s(literal 1 binary64) (+.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))))
76.3%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
75.1%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
51.1%
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
51.5%
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (/ 1/2 x) 1/2) #s(literal 1/2 binary64)))))
27.8%
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
52.3%
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
49.0%
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 (fma.f64 (*.f64 #s(literal 11/128 binary64) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/8 binary64)) (*.f64 x x)))
50.5%
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 (/.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 3/8 binary64)))
26.9%
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
Compiler

Compiled 1 503 to 633 computations (57.9% saved)

series208.0ms (4%)

Memory
6.1MiB live, 279.5MiB allocated; 87ms collecting garbage
Counts
62 → 303
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (asinh.f64 x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) (pow.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (asinh.f64 x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))
(cos.f64 (atan.f64 x))
(atan.f64 x)
x
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (asinh.f64 x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (asinh.f64 x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (asinh.f64 x))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (asinh.f64 x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (cosh.f64 (asinh.f64 x)))
(cosh.f64 (asinh.f64 x))
(asinh.f64 x)
#s(literal 3/2 binary64)
(pow.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
#s(literal -1/4 binary64)
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 (fma.f64 (*.f64 #s(literal 11/128 binary64) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/8 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 #s(literal 11/128 binary64) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/8 binary64)) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 11/128 binary64) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/8 binary64))
(*.f64 #s(literal 11/128 binary64) (*.f64 x x))
#s(literal 11/128 binary64)
#s(literal -1 binary64)
#s(literal 1/8 binary64)
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (/.f64 #s(literal 3/64 binary64) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/8 binary64))))) (/.f64 #s(literal 3/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))))) (+.f64 #s(literal 1 binary64) (+.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))))
(-.f64 #s(literal 1 binary64) #s(approx (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (/.f64 #s(literal 3/64 binary64) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/8 binary64))))) (/.f64 #s(literal 3/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))))
#s(approx (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (/.f64 #s(literal 3/64 binary64) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/8 binary64))))) (/.f64 #s(literal 3/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))))
(+.f64 (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (/.f64 #s(literal 3/64 binary64) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/8 binary64))))) (/.f64 #s(literal 3/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))
(+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (/.f64 #s(literal 3/64 binary64) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/8 binary64)))))
(sqrt.f64 #s(literal 1/8 binary64))
(/.f64 #s(literal 3/64 binary64) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/8 binary64))))
#s(literal 3/64 binary64)
(*.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/8 binary64)))
(/.f64 #s(literal 3/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))
#s(literal 3/16 binary64)
(*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)
(+.f64 #s(literal 1 binary64) (+.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))))
(+.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))
Outputs
#s(approx (/ (- (* 1 (+ (+ (* (+ (cos (atan x)) 1) 1/2) (sqrt (* (+ (cos (atan x)) 1) 1/2))) 1)) (* (+ (+ (* (+ (cos (atan x)) 1) 1/2) (sqrt (* (+ (cos (atan x)) 1) 1/2))) 1) (pow (* (+ (/ 1 (cosh (asinh x))) 1) 1/2) 3/2))) (pow (+ (+ (* (+ (cos (atan x)) 1) 1/2) (sqrt (* (+ (cos (atan x)) 1) 1/2))) 1) 2)) #s(hole binary64 (/ (- (+ 1 (+ (* 1/2 (+ 1 (cos (atan x)))) (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))) (* (sqrt 1/8) (* (sqrt 8) (+ 1 (+ (* 1/2 (+ 1 (cos (atan x)))) (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))))) (pow (+ 1 (+ (* 1/2 (+ 1 (cos (atan x)))) (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))) 2))))
#s(approx (/ (- (* 1 (+ (+ (* (+ (cos (atan x)) 1) 1/2) (sqrt (* (+ (cos (atan x)) 1) 1/2))) 1)) (* (+ (+ (* (+ (cos (atan x)) 1) 1/2) (sqrt (* (+ (cos (atan x)) 1) 1/2))) 1) (pow (* (+ (/ 1 (cosh (asinh x))) 1) 1/2) 3/2))) (pow (+ (+ (* (+ (cos (atan x)) 1) 1/2) (sqrt (* (+ (cos (atan x)) 1) 1/2))) 1) 2)) #s(hole binary64 (- (+ (* 1/2 (/ (+ 1 (cos (atan x))) (pow (+ 1 (+ (* 1/2 (+ 1 (cos (atan x)))) (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))) 2))) (+ (* 3 (/ (* (pow x 2) (sqrt 1/8)) (* (sqrt 8) (+ 1 (+ (* 1/2 (+ 1 (cos (atan x)))) (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))))) (+ (* (/ (sqrt 1/2) (pow (+ 1 (+ (* 1/2 (+ 1 (cos (atan x)))) (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))) 2)) (sqrt (+ 1 (cos (atan x))))) (/ 1 (pow (+ 1 (+ (* 1/2 (+ 1 (cos (atan x)))) (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))) 2))))) (/ (* (sqrt 1/8) (sqrt 8)) (+ 1 (+ (* 1/2 (+ 1 (cos (atan x)))) (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))))))
#s(approx (/ (- (* 1 (+ (+ (* (+ (cos (atan x)) 1) 1/2) (sqrt (* (+ (cos (atan x)) 1) 1/2))) 1)) (* (+ (+ (* (+ (cos (atan x)) 1) 1/2) (sqrt (* (+ (cos (atan x)) 1) 1/2))) 1) (pow (* (+ (/ 1 (cosh (asinh x))) 1) 1/2) 3/2))) (pow (+ (+ (* (+ (cos (atan x)) 1) 1/2) (sqrt (* (+ (cos (atan x)) 1) 1/2))) 1) 2)) #s(hole binary64 (- (+ (* 1/2 (/ (+ 1 (cos (atan x))) (pow (+ 1 (+ (* 1/2 (+ 1 (cos (atan x)))) (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))) 2))) (+ (* (/ (sqrt 1/2) (pow (+ 1 (+ (* 1/2 (+ 1 (cos (atan x)))) (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))) 2)) (sqrt (+ 1 (cos (atan x))))) (+ (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/8) (- 6 (* 9 (/ 1 (pow (sqrt 8) 2)))))) (* (sqrt 8) (+ 1 (+ (* 1/2 (+ 1 (cos (atan x)))) (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))))) (* 3 (/ (sqrt 1/8) (* (sqrt 8) (+ 1 (+ (* 1/2 (+ 1 (cos (atan x)))) (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))))))) (/ 1 (pow (+ 1 (+ (* 1/2 (+ 1 (cos (atan x)))) (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))) 2))))) (/ (* (sqrt 1/8) (sqrt 8)) (+ 1 (+ (* 1/2 (+ 1 (cos (atan x)))) (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))))))
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Calls

3 calls:

TimeVariablePointExpression
72.0ms
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rewrite334.0ms (6.4%)

Memory
-1.9MiB live, 370.6MiB allocated; 89ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0164155468
0172748484
0850347480
Stop Event
iter limit
node limit
iter limit
Counts
365 → 442
Calls
Call 1
Inputs
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Outputs
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#s(approx (* 1 (+ (+ (* (+ (cos (atan x)) 1) 1/2) (sqrt (* (+ (cos (atan x)) 1) 1/2))) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))))))
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#s(approx (+ (* (+ (cos (atan x)) 1) 1/2) (sqrt (* (+ (cos (atan x)) 1) 1/2))) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))
#s(approx (+ (cos (atan x)) 1) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))
#s(approx (cos (atan x)) (cos.f64 (atan.f64 x)))
#s(approx (atan x) (atan.f64 x))
#s(approx x x)
#s(approx (sqrt (* (+ (cos (atan x)) 1) 1/2)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))))
#s(approx (* (+ (cos (atan x)) 1) 1/2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))
#s(approx (* (+ (+ (* (+ (cos (atan x)) 1) 1/2) (sqrt (* (+ (cos (atan x)) 1) 1/2))) 1) (pow (* (+ (/ 1 (cosh (asinh x))) 1) 1/2) 3/2)) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 #s(literal 8 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))))))))
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#s(approx (* (+ (+ (* (+ (cos (atan x)) 1) 1/2) (sqrt (* (+ (cos (atan x)) 1) 1/2))) 1) (pow (* (+ (/ 1 (cosh (asinh x))) 1) 1/2) 3/2)) (fma.f64 (sqrt.f64 #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 #s(literal 8 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))) (sqrt.f64 #s(literal 8 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))))) #s(literal 39/8 binary64)))) (sqrt.f64 #s(literal 8 binary64))))))))
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#s(approx (pow (* (+ (/ 1 (cosh (asinh x))) 1) 1/2) 3/2) #s(literal 1 binary64))
#s(approx (pow (* (+ (/ 1 (cosh (asinh x))) 1) 1/2) 3/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/8 binary64) (*.f64 x x))))
#s(approx (pow (* (+ (/ 1 (cosh (asinh x))) 1) 1/2) 3/2) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 39/128 binary64) (*.f64 x x)) #s(literal 3/8 binary64)))))
#s(approx (pow (* (+ (/ 1 (cosh (asinh x))) 1) 1/2) 3/2) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 39/128 binary64) (*.f64 #s(literal -275/1024 binary64) (*.f64 x x)))) #s(literal 3/8 binary64)))))
#s(approx (* (+ (/ 1 (cosh (asinh x))) 1) 1/2) #s(literal 1 binary64))
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#s(approx (* (+ (/ 1 (cosh (asinh x))) 1) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 3/16 binary64) (*.f64 #s(literal -5/32 binary64) (*.f64 x x)))) #s(literal 1/4 binary64)))))
#s(approx (+ (/ 1 (cosh (asinh x))) 1) #s(literal 2 binary64))
#s(approx (+ (/ 1 (cosh (asinh x))) 1) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
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#s(approx (/ 1 (cosh (asinh x))) #s(literal 1 binary64))
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#s(approx (cosh (asinh x)) #s(literal 1 binary64))
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#s(approx (asinh x) x)
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#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) #s(literal 0 binary64))
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#s(approx (* x x) (*.f64 x x))
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#s(literal -1 binary64) (neg.f64 (log.f64 x)))))))) (pow.f64 (fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x))))))) #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 (fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x))))))) #s(literal -1 binary64)))))))))
#s(approx (+ (/ 1 (cosh (asinh x))) 1) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 (fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x))))))) #s(literal -1 binary64)))))
#s(approx (+ (/ 1 (cosh (asinh x))) 1) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))) (*.f64 #s(literal 1/4 binary64) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))))) (pow.f64 (*.f64 x (fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x))))))) #s(literal -1 binary64))))))
#s(approx (+ (/ 1 (cosh (asinh x))) 1) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))) (*.f64 #s(literal 1/4 binary64) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x))))))) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x))))) (*.f64 #s(literal 1/8 binary64) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))))) (pow.f64 (fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x))))))) #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x))))))) #s(literal -1 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))) (*.f64 #s(literal 1/4 binary64) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))))) (pow.f64 (*.f64 x (fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))))) #s(literal 2 binary64))))))
#s(approx (+ (/ 1 (cosh (asinh x))) 1) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x))))) (*.f64 #s(literal 1/8 binary64) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))))) (-.f64 (*.f64 #s(literal 1/4 binary64) (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))) (*.f64 #s(literal 1/4 binary64) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x))))))))) (pow.f64 (fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x))))))) #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))) (*.f64 #s(literal 1/4 binary64) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x))))))) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x))))) (*.f64 #s(literal 1/8 binary64) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))))) (pow.f64 (fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x))))))) #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 1/4 binary64) (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))) (*.f64 #s(literal 1/4 binary64) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x))))))))) (fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))) (*.f64 #s(literal 5/64 binary64) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))))) (pow.f64 (fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x))))))) #s(literal 2 binary64)))))) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x))))))) #s(literal -1 binary64))))) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))) (*.f64 #s(literal 1/4 binary64) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x))))))) #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x))))) (*.f64 #s(literal 1/8 binary64) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x))))))) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))) (*.f64 #s(literal 1/4 binary64) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))))) (pow.f64 (*.f64 x (fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))))) #s(literal 2 binary64))))))))
#s(approx (/ 1 (cosh (asinh x))) (/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))))))
#s(approx (/ 1 (cosh (asinh x))) (fma.f64 #s(literal -2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))) (*.f64 #s(literal 1/4 binary64) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))))) (pow.f64 (*.f64 x (fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x))))))) #s(literal -1 binary64)))))
#s(approx (/ 1 (cosh (asinh x))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))) (*.f64 #s(literal 1/4 binary64) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x))))))) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x))))) (*.f64 #s(literal 1/8 binary64) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))))) (pow.f64 (fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x))))))) #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x))))))) #s(literal -1 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))) (*.f64 #s(literal 1/4 binary64) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))))) (pow.f64 (*.f64 x (fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))))) #s(literal 2 binary64))))))
#s(approx (/ 1 (cosh (asinh x))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x))))) (*.f64 #s(literal 1/8 binary64) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))))) (-.f64 (*.f64 #s(literal 1/4 binary64) (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))) (*.f64 #s(literal 1/4 binary64) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x))))))))) (pow.f64 (fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x))))))) #s(literal 3 binary64))) (fma.f64 #s(literal -1 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(fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x))))))) #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 1/4 binary64) (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))) (*.f64 #s(literal 1/4 binary64) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x))))))))) (fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))) (*.f64 #s(literal 5/64 binary64) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))))) (pow.f64 (fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x))))))) #s(literal 2 binary64)))))) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x))))))) #s(literal -1 binary64)))) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))) (*.f64 #s(literal 1/4 binary64) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 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(log.f64 x))))))) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))) (*.f64 #s(literal 1/4 binary64) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))))) (pow.f64 (*.f64 x (fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))))) #s(literal 2 binary64))))))))
#s(approx (cosh (asinh x)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))))))
#s(approx (cosh (asinh x)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))) (*.f64 #s(literal 1/4 binary64) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))))) (*.f64 x x)))))
#s(approx (cosh (asinh x)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x))))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x))))) (*.f64 #s(literal 1/8 binary64) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))))) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))) (*.f64 #s(literal 1/4 binary64) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))))) (*.f64 x x))))))
#s(approx (cosh (asinh x)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x))))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x))))) (*.f64 #s(literal 1/8 binary64) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))) (*.f64 #s(literal 5/64 binary64) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))))) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))) (*.f64 #s(literal 1/4 binary64) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))))) (*.f64 x x)))))))
#s(approx (asinh x) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))
#s(approx (asinh x) (+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))))))
#s(approx (asinh x) (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (asinh x) (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal -6 binary64)))))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x x)))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))))
#s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (*.f64 #s(literal -1/8 binary64) (*.f64 x x)))
#s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (*.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 3/16 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) x) (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 x x)) (/.f64 (fma.f64 #s(literal 3/16 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) (pow.f64 (*.f64 x (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) (*.f64 x (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))))))))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 13/64 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 x x)) (/.f64 (fma.f64 #s(literal 3/16 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) (pow.f64 (*.f64 x (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 #s(literal 3/16 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))) (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/32 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 #s(literal 3/16 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 (*.f64 #s(literal -3/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))))))))
#s(approx (* (+ (* (* 11/128 (* x x)) -1) 1/8) (* x x)) (*.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* (* 11/128 (* x x)) -1) 1/8) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 11/128 binary64))))
#s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) (*.f64 #s(literal -11/128 binary64) (*.f64 x x)))
#s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 11/128 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal -5 binary64))))) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* x x) 1)))) #s(literal 1 binary64))
#s(approx (+ 1 (/ 1 (sqrt (+ (* x x) 1)))) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 #s(literal -3/8 binary64) (pow.f64 x #s(literal -5 binary64))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ 1 (cosh (asinh x))) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ 1 (cosh (asinh x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) x))
#s(approx (/ 1 (cosh (asinh x))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) x))
#s(approx (/ 1 (cosh (asinh x))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 5/16 binary64) (pow.f64 x #s(literal -6 binary64))))) x))
#s(approx (cosh (asinh x)) x)
#s(approx (cosh (asinh x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))))
#s(approx (cosh (asinh x)) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (cosh (asinh x)) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -6 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (+ (* (* x x) 1/2) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
#s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (/ (- 1 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) #s(literal 3/2 binary64)))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (/ (- 1 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) #s(literal 3/2 binary64)))) (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) #s(literal 3/2 binary64)))))
#s(approx (/ (- 1 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) #s(literal 3/2 binary64))))) (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) #s(literal 3/2 binary64))))) (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (*.f64 x x)) (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) #s(literal 3/2 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) #s(literal 3/2 binary64)))) (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))
#s(approx (/ (- 1 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) #s(literal 3/2 binary64))))) (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) #s(literal 3/2 binary64))))) (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) #s(literal 3/2 binary64)))))) (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) #s(literal 3/2 binary64)))) (-.f64 (*.f64 #s(literal -3/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) #s(literal 3/2 binary64)))) (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) #s(literal 3/2 binary64))))) (pow.f64 (*.f64 x (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) #s(literal 3/2 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) #s(literal 3/2 binary64)))) (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))))
#s(approx (+ (+ (sqrt 1/8) (/ 3/64 (* (* x x) (sqrt 1/8)))) (/ 3/16 (* (sqrt 1/8) x))) (sqrt.f64 #s(literal 1/8 binary64)))
#s(approx (+ (+ (sqrt 1/8) (/ 3/64 (* (* x x) (sqrt 1/8)))) (/ 3/16 (* (sqrt 1/8) x))) (-.f64 (sqrt.f64 #s(literal 1/8 binary64)) (*.f64 #s(literal -3/16 binary64) (pow.f64 (*.f64 x (sqrt.f64 #s(literal 1/8 binary64))) #s(literal -1 binary64)))))
#s(approx (+ (+ (sqrt 1/8) (/ 3/64 (* (* x x) (sqrt 1/8)))) (/ 3/16 (* (sqrt 1/8) x))) (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 (/.f64 #s(literal 3/64 binary64) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/8 binary64)))) (/.f64 #s(literal 3/16 binary64) (*.f64 x (sqrt.f64 #s(literal 1/8 binary64)))))))
#s(approx (+ (sqrt 1/8) (/ 3/64 (* (* x x) (sqrt 1/8)))) (sqrt.f64 #s(literal 1/8 binary64)))
#s(approx (+ (sqrt 1/8) (/ 3/64 (* (* x x) (sqrt 1/8)))) (-.f64 (sqrt.f64 #s(literal 1/8 binary64)) (*.f64 #s(literal -3/64 binary64) (pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/8 binary64))) #s(literal -1 binary64)))))
#s(approx (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) (+.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))))))
#s(approx (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) (+.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))))))))
#s(approx (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) (-.f64 (+.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -3 binary64)))))
#s(approx (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (+.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))))))
#s(approx (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (+.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))))))))
#s(approx (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -3 binary64)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal -5 binary64))))) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ (/ 1/2 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (/ 1/2 x) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))
#s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))))
#s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))
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#s(approx (* (+ (/ 1 (cosh (asinh x))) 1) 1/2) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/4 binary64) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) (pow.f64 (*.f64 x (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/4 binary64) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) #s(literal 2 binary64)) (pow.f64 (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal 1/16 binary64) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) (pow.f64 (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) #s(literal -1 binary64))))))))
#s(approx (* (+ (/ 1 (cosh (asinh x))) 1) 1/2) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/4 binary64) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) (pow.f64 (*.f64 x (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/4 binary64) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) (-.f64 (*.f64 #s(literal 1/8 binary64) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal 1/16 binary64) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))))) (pow.f64 (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/4 binary64) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) #s(literal 2 binary64)) (pow.f64 (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal 1/16 binary64) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) (pow.f64 (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/4 binary64) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/4 binary64) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))))) (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -5/64 binary64) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/32 binary64) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) (pow.f64 (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/4 binary64) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) #s(literal 2 binary64)) (pow.f64 (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal 1/16 binary64) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) (pow.f64 (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) #s(literal -1 binary64)))))))))
#s(approx (+ (/ 1 (cosh (asinh x))) 1) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) #s(literal -1 binary64)))))
#s(approx (+ (/ 1 (cosh (asinh x))) 1) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/4 binary64) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) (pow.f64 (*.f64 x (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) #s(literal -1 binary64))))))
#s(approx (+ (/ 1 (cosh (asinh x))) 1) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/4 binary64) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) #s(literal 2 binary64)) (pow.f64 (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal 1/16 binary64) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) (pow.f64 (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) #s(literal -1 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/4 binary64) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) (pow.f64 (*.f64 x (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) #s(literal 2 binary64))))))
#s(approx (+ (/ 1 (cosh (asinh x))) 1) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/4 binary64) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) (-.f64 (*.f64 #s(literal 1/8 binary64) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal 1/16 binary64) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))))) (pow.f64 (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/4 binary64) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) #s(literal 2 binary64)) (pow.f64 (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal 1/16 binary64) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) (pow.f64 (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/4 binary64) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/4 binary64) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))))) (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -5/64 binary64) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/32 binary64) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) (pow.f64 (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))))) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) #s(literal -1 binary64))))) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/4 binary64) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/4 binary64) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) (pow.f64 (*.f64 x (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal 1/16 binary64) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))))))))
#s(approx (/ 1 (cosh (asinh x))) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))))
#s(approx (/ 1 (cosh (asinh x))) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/4 binary64) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) (pow.f64 (*.f64 x (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) #s(literal -1 binary64)))))
#s(approx (/ 1 (cosh (asinh x))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/4 binary64) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) #s(literal 2 binary64)) (pow.f64 (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal 1/16 binary64) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) (pow.f64 (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) #s(literal -1 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/4 binary64) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) (pow.f64 (*.f64 x (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) #s(literal 2 binary64))))))
#s(approx (/ 1 (cosh (asinh x))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/4 binary64) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) (-.f64 (*.f64 #s(literal 1/8 binary64) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal 1/16 binary64) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))))) (pow.f64 (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/4 binary64) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) #s(literal 2 binary64)) (pow.f64 (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal 1/16 binary64) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) (pow.f64 (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/4 binary64) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/4 binary64) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))))) (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -5/64 binary64) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/32 binary64) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) (pow.f64 (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))))) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) #s(literal -1 binary64)))) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/4 binary64) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/4 binary64) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) (pow.f64 (*.f64 x (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal 1/16 binary64) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))))))))
#s(approx (cosh (asinh x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))))
#s(approx (cosh (asinh x)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/4 binary64) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) (*.f64 x x)))))
#s(approx (cosh (asinh x)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/4 binary64) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal 1/16 binary64) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (cosh (asinh x)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/4 binary64) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -5/64 binary64) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/32 binary64) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal 1/16 binary64) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) (pow.f64 x #s(literal 4 binary64))))))))
#s(approx (asinh x) (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
#s(approx (asinh x) (-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (asinh x) (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (asinh x) (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal -6 binary64))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (-.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (+.f64 (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) (*.f64 x (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))
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#s(approx (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (+.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)))))
#s(approx (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (+.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x)))))
#s(approx (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (+.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -3/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) x) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))) x))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))) x))))
#s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))
#s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x))))
#s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x))))

eval126.0ms (2.4%)

Memory
32.0MiB live, 259.2MiB allocated; 51ms collecting garbage
Compiler

Compiled 84 191 to 3 475 computations (95.9% saved)

prune34.0ms (0.7%)

Memory
0.4MiB live, 95.0MiB allocated; 6ms collecting garbage
Pruning

16 alts after pruning (10 fresh and 6 done)

PrunedKeptTotal
New6516657
Fresh347
Picked325
Done044
Total65716673
Accuracy
100.0%
Counts
673 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.1%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) (pow.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
76.4%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (asinh.f64 x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) (exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) #s(literal 2 binary64))))
77.1%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
77.1%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
52.1%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) (+.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) (sqrt.f64 #s(literal 1/8 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))))
51.6%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (/.f64 #s(literal 3/64 binary64) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/8 binary64))))) (/.f64 #s(literal 3/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))))) (+.f64 #s(literal 1 binary64) (+.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))))
51.6%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (/.f64 #s(literal 3/64 binary64) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/8 binary64))))) (/.f64 #s(literal 3/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))))) (+.f64 #s(literal 1 binary64) (+.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))))))
76.3%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
75.1%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
51.1%
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
51.5%
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (/ 1/2 x) 1/2) #s(literal 1/2 binary64)))))
27.8%
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x x))))))
52.3%
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
49.0%
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (*.f64 x x)))) (*.f64 x x)))
50.5%
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)))
26.9%
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
Compiler

Compiled 2 779 to 677 computations (75.6% saved)

regimes68.0ms (1.3%)

Memory
-32.1MiB live, 115.4MiB allocated; 8ms collecting garbage
Counts
42 → 2
Calls
Call 1
Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (/ 1/2 x) 1/2) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x x))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 (/.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 3/8 binary64)))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (*.f64 x x)))) (*.f64 x x)))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 (fma.f64 (*.f64 #s(literal 11/128 binary64) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/8 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/8 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) (+.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) (sqrt.f64 #s(literal 1/8 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (/.f64 #s(literal 3/64 binary64) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/8 binary64))))) (/.f64 #s(literal 3/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))))) (+.f64 #s(literal 1 binary64) (+.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (/.f64 #s(literal 3/64 binary64) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/8 binary64))))) (/.f64 #s(literal 3/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))))) (+.f64 #s(literal 1 binary64) (+.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))) (-.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (asinh.f64 x))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (sin.f64 (+.f64 (atan.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))) (/.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))) (/.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))))
(-.f64 (exp.f64 (*.f64 (log1p.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) (pow.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))) (pow.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) (pow.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (asinh.f64 x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) (pow.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (asinh.f64 x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) (exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))))))
Outputs
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (*.f64 x x)))) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) (pow.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
Calls

7 calls:

13.0ms
x
10.0ms
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
9.0ms
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
8.0ms
(hypot.f64 #s(literal 1 binary64) x)
8.0ms
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
Results
AccuracySegmentsBranch
100.0%2(hypot.f64 #s(literal 1 binary64) x)
100.0%2(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
100.0%2(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
100.0%2(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
100.0%2(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
100.0%2(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
100.0%2x
Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes56.0ms (1.1%)

Memory
40.4MiB live, 86.8MiB allocated; 2ms collecting garbage
Counts
36 → 2
Calls
Call 1
Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (/ 1/2 x) 1/2) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x x))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 (/.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 3/8 binary64)))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (*.f64 x x)))) (*.f64 x x)))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 (fma.f64 (*.f64 #s(literal 11/128 binary64) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/8 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/8 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) (+.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) (sqrt.f64 #s(literal 1/8 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (/.f64 #s(literal 3/64 binary64) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/8 binary64))))) (/.f64 #s(literal 3/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))))) (+.f64 #s(literal 1 binary64) (+.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (/.f64 #s(literal 3/64 binary64) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/8 binary64))))) (/.f64 #s(literal 3/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))))) (+.f64 #s(literal 1 binary64) (+.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))) (-.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (asinh.f64 x))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (sin.f64 (+.f64 (atan.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))) (/.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))) (/.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))))
(-.f64 (exp.f64 (*.f64 (log1p.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))))
Outputs
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (*.f64 x x)))) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))) (/.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))))
Calls

7 calls:

9.0ms
x
8.0ms
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
8.0ms
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
7.0ms
(hypot.f64 #s(literal 1 binary64) x)
7.0ms
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
Results
AccuracySegmentsBranch
100.0%2(hypot.f64 #s(literal 1 binary64) x)
100.0%2(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
100.0%2(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
100.0%2(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
100.0%2(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
100.0%2(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
100.0%2x
Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes92.0ms (1.8%)

Memory
-30.2MiB live, 65.5MiB allocated; 5ms collecting garbage
Counts
33 → 2
Calls
Call 1
Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (/ 1/2 x) 1/2) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x x))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 (/.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 3/8 binary64)))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (*.f64 x x)))) (*.f64 x x)))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 (fma.f64 (*.f64 #s(literal 11/128 binary64) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/8 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/8 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) (+.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) (sqrt.f64 #s(literal 1/8 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (/.f64 #s(literal 3/64 binary64) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/8 binary64))))) (/.f64 #s(literal 3/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))))) (+.f64 #s(literal 1 binary64) (+.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (/.f64 #s(literal 3/64 binary64) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/8 binary64))))) (/.f64 #s(literal 3/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))))) (+.f64 #s(literal 1 binary64) (+.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))) (-.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (asinh.f64 x))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (sin.f64 (+.f64 (atan.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
Outputs
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (*.f64 x x)))) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (asinh.f64 x))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
Calls

7 calls:

43.0ms
x
13.0ms
(hypot.f64 #s(literal 1 binary64) x)
8.0ms
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
6.0ms
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
6.0ms
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
Results
AccuracySegmentsBranch
100.0%2(hypot.f64 #s(literal 1 binary64) x)
100.0%2(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
100.0%2(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
100.0%2(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
100.0%2(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
100.0%2(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
100.0%2x
Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes47.0ms (0.9%)

Memory
36.2MiB live, 80.7MiB allocated; 4ms collecting garbage
Counts
28 → 2
Calls
Call 1
Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (/ 1/2 x) 1/2) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x x))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 (/.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 3/8 binary64)))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (*.f64 x x)))) (*.f64 x x)))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 (fma.f64 (*.f64 #s(literal 11/128 binary64) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/8 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/8 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) (+.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) (sqrt.f64 #s(literal 1/8 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (/.f64 #s(literal 3/64 binary64) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/8 binary64))))) (/.f64 #s(literal 3/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))))) (+.f64 #s(literal 1 binary64) (+.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (/.f64 #s(literal 3/64 binary64) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/8 binary64))))) (/.f64 #s(literal 3/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))))) (+.f64 #s(literal 1 binary64) (+.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))) (-.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
Outputs
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (*.f64 x x)))) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
Calls

7 calls:

9.0ms
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
7.0ms
x
7.0ms
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
6.0ms
(hypot.f64 #s(literal 1 binary64) x)
5.0ms
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
Results
AccuracySegmentsBranch
100.0%2(hypot.f64 #s(literal 1 binary64) x)
100.0%2(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
100.0%2(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
100.0%2(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
100.0%2(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
100.0%2(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
100.0%2x
Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes51.0ms (1%)

Memory
-25.5MiB live, 82.9MiB allocated; 21ms collecting garbage
Counts
25 → 2
Calls
Call 1
Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (/ 1/2 x) 1/2) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x x))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 (/.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 3/8 binary64)))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (*.f64 x x)))) (*.f64 x x)))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 (fma.f64 (*.f64 #s(literal 11/128 binary64) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/8 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/8 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) (+.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) (sqrt.f64 #s(literal 1/8 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (/.f64 #s(literal 3/64 binary64) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/8 binary64))))) (/.f64 #s(literal 3/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))))) (+.f64 #s(literal 1 binary64) (+.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (/.f64 #s(literal 3/64 binary64) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/8 binary64))))) (/.f64 #s(literal 3/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))))) (+.f64 #s(literal 1 binary64) (+.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))))
Outputs
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (*.f64 x x)))) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))
Calls

7 calls:

13.0ms
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
9.0ms
x
6.0ms
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
5.0ms
(hypot.f64 #s(literal 1 binary64) x)
5.0ms
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
Results
AccuracySegmentsBranch
99.4%2(hypot.f64 #s(literal 1 binary64) x)
99.4%2(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
99.4%2(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
99.4%2(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
99.4%2(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
99.4%2(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
99.4%2x
Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes31.0ms (0.6%)

Memory
13.7MiB live, 60.2MiB allocated; 3ms collecting garbage
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (/ 1/2 x) 1/2) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x x))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 (/.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 3/8 binary64)))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (*.f64 x x)))) (*.f64 x x)))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 (fma.f64 (*.f64 #s(literal 11/128 binary64) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
Outputs
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (*.f64 x x)))) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
Calls

7 calls:

6.0ms
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
5.0ms
x
4.0ms
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
4.0ms
(hypot.f64 #s(literal 1 binary64) x)
4.0ms
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
Results
AccuracySegmentsBranch
99.2%2(hypot.f64 #s(literal 1 binary64) x)
99.2%2(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
99.2%2(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
99.2%2(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
99.2%2(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
99.2%2(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
99.2%2x
Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes32.0ms (0.6%)

Memory
-28.7MiB live, 64.1MiB allocated; 6ms collecting garbage
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (/ 1/2 x) 1/2) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x x))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 (/.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 3/8 binary64)))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (*.f64 x x)))) (*.f64 x x)))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 (fma.f64 (*.f64 #s(literal 11/128 binary64) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))))
Outputs
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (*.f64 x x)))) (*.f64 x x)))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
Calls

7 calls:

8.0ms
x
5.0ms
(hypot.f64 #s(literal 1 binary64) x)
4.0ms
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
3.0ms
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
3.0ms
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
Results
AccuracySegmentsBranch
98.8%2(hypot.f64 #s(literal 1 binary64) x)
98.8%2(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
98.8%2(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
98.8%2(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
98.8%2(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
98.8%2(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
98.8%2x
Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes23.0ms (0.5%)

Memory
5.6MiB live, 56.3MiB allocated; 3ms collecting garbage
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (/ 1/2 x) 1/2) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x x))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 (/.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 3/8 binary64)))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (*.f64 x x)))) (*.f64 x x)))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 (fma.f64 (*.f64 #s(literal 11/128 binary64) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
Outputs
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (*.f64 x x)))) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
Calls

7 calls:

5.0ms
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
3.0ms
x
3.0ms
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
3.0ms
(hypot.f64 #s(literal 1 binary64) x)
3.0ms
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
Results
AccuracySegmentsBranch
98.6%2(hypot.f64 #s(literal 1 binary64) x)
98.6%2(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
98.6%2(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
98.6%2(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
98.6%2(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
98.6%2(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
98.6%2x
Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes21.0ms (0.4%)

Memory
-6.2MiB live, 41.2MiB allocated; 2ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (/ 1/2 x) 1/2) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x x))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 (/.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 3/8 binary64)))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (*.f64 x x)))) (*.f64 x x)))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 (fma.f64 (*.f64 #s(literal 11/128 binary64) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/8 binary64)) (*.f64 x x)))
Outputs
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (*.f64 x x)))) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
Calls

7 calls:

4.0ms
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
3.0ms
x
3.0ms
(hypot.f64 #s(literal 1 binary64) x)
3.0ms
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
2.0ms
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
Results
AccuracySegmentsBranch
98.0%2(hypot.f64 #s(literal 1 binary64) x)
98.0%2(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
98.0%2(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
98.0%2(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
98.0%2(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
98.0%2(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
98.0%2x
Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes17.0ms (0.3%)

Memory
-8.5MiB live, 38.9MiB allocated; 1ms collecting garbage
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (/ 1/2 x) 1/2) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x x))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 (/.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 3/8 binary64)))
Outputs
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)))
Calls

7 calls:

3.0ms
x
2.0ms
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
2.0ms
(hypot.f64 #s(literal 1 binary64) x)
2.0ms
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
2.0ms
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
Results
AccuracySegmentsBranch
97.9%2(hypot.f64 #s(literal 1 binary64) x)
97.9%2(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
97.9%2(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
97.9%2(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
97.9%2(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
97.9%2(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
97.9%2x
Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes8.0ms (0.2%)

Memory
20.6MiB live, 20.6MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)))
Outputs
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)))
Calls

7 calls:

1.0ms
x
1.0ms
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
1.0ms
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
1.0ms
(hypot.f64 #s(literal 1 binary64) x)
1.0ms
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
Results
AccuracySegmentsBranch
50.5%1(hypot.f64 #s(literal 1 binary64) x)
50.5%1(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
50.5%1x
50.5%1(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
50.5%1(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
50.5%1(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
50.5%1(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes7.0ms (0.1%)

Memory
18.3MiB live, 18.3MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
Outputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
Calls

7 calls:

1.0ms
x
1.0ms
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
1.0ms
(hypot.f64 #s(literal 1 binary64) x)
1.0ms
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
1.0ms
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
Results
AccuracySegmentsBranch
26.9%1(hypot.f64 #s(literal 1 binary64) x)
26.9%1x
26.9%1(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
26.9%1(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
26.9%1(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
26.9%1(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
26.9%1(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
Compiler

Compiled 47 to 37 computations (21.3% saved)

bsearch24.0ms (0.5%)

Memory
-2.7MiB live, 44.5MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
22.0ms
2.8783928737221394e-5
0.49514041484229326
Samples
16.0ms128×1valid
Compiler

Compiled 1 188 to 469 computations (60.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-hypot: 4.0ms (32.2% of total)
adjust: 2.0ms (16.1% of total)
ival-sqrt: 2.0ms (16.1% of total)
ival-sub!: 1.0ms (8% of total)
ival-add!: 1.0ms (8% of total)
ival-div!: 1.0ms (8% of total)
ival-mult!: 1.0ms (8% of total)

bsearch2.0ms (0%)

Memory
4.6MiB live, 4.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
2.0ms
2.8783928737221394e-5
0.49514041484229326
Compiler

Compiled 1 060 to 461 computations (56.5% saved)

bsearch2.0ms (0%)

Memory
3.8MiB live, 3.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
2.8783928737221394e-5
0.49514041484229326
Compiler

Compiled 796 to 413 computations (48.1% saved)

bsearch3.0ms (0.1%)

Memory
-44.8MiB live, 3.7MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
3.0ms
2.8783928737221394e-5
0.49514041484229326
Compiler

Compiled 812 to 413 computations (49.1% saved)

bsearch16.0ms (0.3%)

Memory
29.9MiB live, 29.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
0.8642342797732173
1829727.3137643712
Samples
8.0ms144×0valid
Compiler

Compiled 1 109 to 490 computations (55.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-hypot: 2.0ms (36.9% of total)
ival-sqrt: 1.0ms (18.4% of total)
ival-div!: 1.0ms (18.4% of total)
ival-mult!: 1.0ms (18.4% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
2.8783928737221394e-5
0.49514041484229326
Compiler

Compiled 732 to 365 computations (50.1% saved)

bsearch2.0ms (0%)

Memory
4.5MiB live, 4.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
2.0ms
0.8642342797732173
1829727.3137643712
Compiler

Compiled 1 262 to 571 computations (54.8% saved)

bsearch2.0ms (0%)

Memory
3.6MiB live, 3.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.8642342797732173
1829727.3137643712
Compiler

Compiled 902 to 472 computations (47.7% saved)

bsearch2.0ms (0%)

Memory
3.3MiB live, 3.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.8642342797732173
1829727.3137643712
Compiler

Compiled 866 to 454 computations (47.6% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.7071069744138878
0.9371763924474327
Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify54.0ms (1%)

Memory
-26.3MiB live, 67.7MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01231123
11981028
24401017
311571017
452291017
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 5764607523034235/2305843009213693952 binary64)) #s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (*.f64 x x)))) (*.f64 x x))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) (pow.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))))
(if (<=.f64 x #s(literal 5764607523034235/2305843009213693952 binary64)) #s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (*.f64 x x)))) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))) (/.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))))
(if (<=.f64 x #s(literal 5764607523034235/2305843009213693952 binary64)) #s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (*.f64 x x)))) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (asinh.f64 x))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(if (<=.f64 x #s(literal 5764607523034235/2305843009213693952 binary64)) #s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (*.f64 x x)))) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (*.f64 x x)))) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))))
(if (<=.f64 x #s(literal 1498797955988901/576460752303423488 binary64)) #s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (*.f64 x x)))) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (*.f64 x x)))) (*.f64 x x))) #s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))))
(if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (*.f64 x x)))) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))
(if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (*.f64 x x)))) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
(if (<=.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 3602879701896397/4503599627370496 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) #s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) #s(literal 1/8 binary64)) (*.f64 x x))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
Outputs
(if (<=.f64 x #s(literal 5764607523034235/2305843009213693952 binary64)) #s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (*.f64 x x)))) (*.f64 x x))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) (pow.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))))
(if (<=.f64 x #s(literal 5764607523034235/2305843009213693952 binary64)) #s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (*.f64 x x)))) (*.f64 x x))) (/.f64 (-.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) (pow.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))))
(if (<=.f64 x #s(literal 5764607523034235/2305843009213693952 binary64)) #s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (*.f64 x x)))) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))) (/.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))))
(if (<=.f64 x #s(literal 5764607523034235/2305843009213693952 binary64)) #s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (*.f64 #s(approx (+ (* (* 11/128 (* x x)) -1) 1/8) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (*.f64 x x)))) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))))
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derivations360.0ms (6.9%)

Memory
-7.7MiB live, 371.9MiB allocated; 31ms collecting garbage
Stop Event
fuel
Compiler

Compiled 1 231 to 124 computations (89.9% saved)

preprocess61.0ms (1.2%)

Memory
11.4MiB live, 105.8MiB allocated; 10ms collecting garbage
Compiler

Compiled 2 782 to 378 computations (86.4% saved)

end0.0ms (0%)

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

Profiling

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