Given's Rotation SVD example, simplified

Time bar (total: 7.0s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB 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)

sample4.1s (58.4%)

Memory
-54.1MiB live, 2 010.5MiB allocated; 1.3s collecting garbage
Samples
1.4s4 207×0valid
1.3s2 912×2valid
1.1s1 137×1valid
Precisions
Click to see histograms. Total time spent on operations: 3.5s
ival-hypot: 1.7s (48.1% of total)
ival-sqrt: 749.0ms (21.5% of total)
ival-sub: 574.0ms (16.5% of total)
adjust: 184.0ms (5.3% of total)
ival-div: 111.0ms (3.2% of total)
ival-mult: 106.0ms (3% of total)
ival-add: 72.0ms (2.1% of total)
exact: 9.0ms (0.3% of total)
ival-assert: 3.0ms (0.1% of total)
Bogosity

explain163.0ms (2.3%)

Memory
11.6MiB live, 261.0MiB allocated; 30ms 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
50.0ms172×2valid
21.0ms266×0valid
12.0ms74×1valid
Compiler

Compiled 174 to 31 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-hypot: 20.0ms (33% of total)
adjust: 11.0ms (18.2% of total)
ival-div: 7.0ms (11.6% of total)
ival-sqrt: 7.0ms (11.6% of total)
ival-mult: 6.0ms (9.9% of total)
ival-sub: 4.0ms (6.6% of total)
ival-add: 4.0ms (6.6% of total)
exact: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess174.0ms (2.5%)

Memory
1.9MiB live, 92.0MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02446
16440
213740
330340
4125039
5649339
01312
02012
12212
22512
33312
45812
519512
6143612
7441512
0808612
Stop Event
saturated
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))))))
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
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.6%
(-.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
12.1MiB live, 12.1MiB 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
2.0ms
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)

rewrite708.0ms (10.1%)

Memory
-29.5MiB live, 204.8MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03852028
15302028
25312028
35322028
45332028
55342028
65352028
75362028
05361537
122091468
082151453
197371417
2123041409
3155431409
4180101409
5192791409
6197811409
7199111409
8199491409
9199541409
10199551409
Stop Event
saturated
node limit
saturated
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 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))))))
#s(literal 1 binary64)
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) (*.f64 #s(literal 1/2 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 #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 (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 (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 #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 #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 (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 (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 (+.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 (+.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 -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 -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)))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (*.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 (fabs.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))) (fabs.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))) (neg.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))
(+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 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 (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)))))
(/.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) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 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 (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 (+.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)))
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(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(cos.f64 (atan.f64 x))
(cos.f64 (atan.f64 (fabs.f64 x)))
(cos.f64 (atan.f64 (neg.f64 x)))
(cos.f64 (neg.f64 (atan.f64 x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(sin.f64 (+.f64 (atan.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
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(/.f64 #s(literal -1 binary64) (neg.f64 (hypot.f64 #s(literal 1 binary64) 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))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(hypot.f64 #s(literal 1 binary64) x)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(cosh.f64 (asinh.f64 x))
(cosh.f64 (asinh.f64 (fabs.f64 x)))
(cosh.f64 (asinh.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 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))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) #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 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
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#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/32 binary64) #s(literal 3/16 binary64))) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(literal 2 binary64))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/8 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/16 binary64) #s(literal 3/8 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(literal 1 binary64))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/16 binary64) #s(literal 3/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(literal 1 binary64))
#s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #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 (-.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (-.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)) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (/.f64 #s(literal -1/8 binary64) x) (/.f64 (sqrt.f64 #s(literal 1/8 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 (sqrt.f64 #s(literal 1/8 binary64)) x)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (/.f64 #s(literal -1/8 binary64) x) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -3/16 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (/.f64 #s(literal -1/8 binary64) x) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))))
#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) x)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.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 #s(literal 1/2 binary64) (-.f64 (fma.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal -5 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (/.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.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 (sqrt (+ (* 1 1) (* x 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 5/16 binary64) (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
#s(approx (sqrt (+ (* 1 1) (* x x))) x)
#s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -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 x (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 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 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (+.f64 #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 #s(literal -1 binary64) (/.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)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -3/16 binary64) (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)) (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 #s(literal -1 binary64) (/.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) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 3/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) x) (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)))))) (-.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 #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(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.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(literal 1/2 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.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(literal -1 binary64) #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 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.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 (sqrt (+ (* 1 1) (* x x)))) (neg.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 5/16 binary64) (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) x)))
#s(approx (sqrt (+ (* 1 1) (* x x))) (neg.f64 x))
#s(approx (sqrt (+ (* 1 1) (* x x))) (neg.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -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))) (neg.f64 (*.f64 x (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 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)))))))

eval21.0ms (0.3%)

Memory
-10.3MiB live, 39.6MiB allocated; 6ms collecting garbage
Compiler

Compiled 3 533 to 829 computations (76.5% saved)

prune10.0ms (0.1%)

Memory
29.9MiB live, 29.9MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1448152
Fresh000
Picked101
Done000
Total1458153
Accuracy
77.7%
Counts
153 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.4%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))))
77.4%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))
77.4%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))))))
76.6%
(-.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))))))))
52.6%
(-.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 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))))))))
51.4%
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
51.4%
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
26.7%
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
Compiler

Compiled 366 to 224 computations (38.8% saved)

series28.0ms (0.4%)

Memory
21.8MiB live, 60.3MiB allocated; 6ms collecting garbage
Counts
35 → 97
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))
(cos.f64 (atan.f64 x))
(atan.f64 x)
x
(+.f64 #s(literal 1 binary64) (sqrt.f64 (*.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 (- 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 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(sqrt.f64 #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)))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))
(/.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) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -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 (+ (* 1 1) (* x x))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -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 (+ (* 1 1) (* x x))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) #s(literal 3/2 binary64)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))))
Outputs
#s(approx (/ (- 1 (* 1/2 (+ 1 (cos (atan x))))) (+ 1 (sqrt (* 1/2 (+ 1 (cos (atan x))))))) #s(hole binary64 (/ (- 1 (* 1/2 (+ 1 (cos (atan x))))) (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))))
#s(approx (- 1 (* 1/2 (+ 1 (cos (atan x))))) #s(hole binary64 (- 1 (* 1/2 (+ 1 (cos (atan x)))))))
#s(approx (* 1/2 (+ 1 (cos (atan x)))) #s(hole binary64 (* 1/2 (+ 1 (cos (atan x))))))
#s(approx (+ 1 (cos (atan x))) #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 (* 1/2 (+ 1 (cos (atan x)))))) #s(hole binary64 (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))))
#s(approx (sqrt (* 1/2 (+ 1 (cos (atan x))))) #s(hole binary64 (* (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) (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 (/ 1/2 x)) #s(hole binary64 (/ 1/2 x)))
#s(approx (+ 1/2 (/ 1/2 x)) #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 (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 (+ (* 1/2 (pow x -2)) 1)) #s(hole binary64 (/ 1/2 x)))
#s(approx (* x (+ (* 1/2 (pow x -2)) 1)) #s(hole binary64 (/ (+ 1/2 (pow x 2)) x)))
#s(approx (+ (* 1/2 (pow x -2)) 1) #s(hole binary64 (/ 1/2 (pow x 2))))
#s(approx (+ (* 1/2 (pow x -2)) 1) #s(hole binary64 (/ (+ 1/2 (pow x 2)) (pow x 2))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (cos (atan x)))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (cos (atan x)))) (* 1 (sqrt (* 1/2 (+ 1 (cos (atan x))))))))) #s(hole binary64 (/ (- 1 (* (sqrt 1/8) (sqrt (pow (+ 1 (cos (atan x))) 3)))) (+ 1 (+ (* 1/2 (+ 1 (cos (atan x)))) (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))))))
#s(approx (- 1 (pow (* 1/2 (+ 1 (cos (atan x)))) 3/2)) #s(hole binary64 (- 1 (* (sqrt 1/8) (sqrt (pow (+ 1 (cos (atan x))) 3))))))
#s(approx (pow (* 1/2 (+ 1 (cos (atan x)))) 3/2) #s(hole binary64 (* (sqrt 1/8) (sqrt (pow (+ 1 (cos (atan x))) 3)))))
#s(approx (+ 1 (+ (* 1/2 (+ 1 (cos (atan x)))) (* 1 (sqrt (* 1/2 (+ 1 (cos (atan x)))))))) #s(hole binary64 (+ 1 (+ (* 1/2 (+ 1 (cos (atan x)))) (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))))
#s(approx (+ (* 1/2 (+ 1 (cos (atan x)))) (* 1 (sqrt (* 1/2 (+ 1 (cos (atan x))))))) #s(hole binary64 (+ (* 1/2 (+ 1 (cos (atan x)))) (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))))
#s(approx (* 1 (sqrt (* 1/2 (+ 1 (cos (atan x)))))) #s(hole binary64 (* (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 (/ 1/2 x)) #s(hole binary64 1/2))
#s(approx (+ 1/2 (/ 1/2 x)) #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 (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 (* x (+ (* 1/2 (pow x -2)) 1)) #s(hole binary64 x))
#s(approx (* x (+ (* 1/2 (pow x -2)) 1)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/2 (pow x -2)) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 (pow x -2)) 1) #s(hole binary64 (+ 1 (* 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))))
#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
9.0ms
x
@-inf
((/ (- 1 (* 1/2 (+ 1 (cos (atan x))))) (+ 1 (sqrt (* 1/2 (+ 1 (cos (atan x))))))) (- 1 (* 1/2 (+ 1 (cos (atan x))))) 1 (* 1/2 (+ 1 (cos (atan x)))) 1/2 (+ 1 (cos (atan x))) (cos (atan x)) (atan x) x (+ 1 (sqrt (* 1/2 (+ 1 (cos (atan x)))))) (sqrt (* 1/2 (+ 1 (cos (atan x))))) (- 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 (/ 1/2 x)) (/ 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)))) (sqrt (+ (* 1 1) (* x x))) (* x (+ (* 1/2 (pow x -2)) 1)) (+ (* 1/2 (pow x -2)) 1) (pow x -2) -2 (/ (- 1 (pow (* 1/2 (+ 1 (cos (atan x)))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (cos (atan x)))) (* 1 (sqrt (* 1/2 (+ 1 (cos (atan x))))))))) (- 1 (pow (* 1/2 (+ 1 (cos (atan x)))) 3/2)) (pow (* 1/2 (+ 1 (cos (atan x)))) 3/2) 3/2 (+ 1 (+ (* 1/2 (+ 1 (cos (atan x)))) (* 1 (sqrt (* 1/2 (+ 1 (cos (atan x)))))))) (+ (* 1/2 (+ 1 (cos (atan x)))) (* 1 (sqrt (* 1/2 (+ 1 (cos (atan x))))))) (* 1 (sqrt (* 1/2 (+ 1 (cos (atan x)))))))
7.0ms
x
@0
((/ (- 1 (* 1/2 (+ 1 (cos (atan x))))) (+ 1 (sqrt (* 1/2 (+ 1 (cos (atan x))))))) (- 1 (* 1/2 (+ 1 (cos (atan x))))) 1 (* 1/2 (+ 1 (cos (atan x)))) 1/2 (+ 1 (cos (atan x))) (cos (atan x)) (atan x) x (+ 1 (sqrt (* 1/2 (+ 1 (cos (atan x)))))) (sqrt (* 1/2 (+ 1 (cos (atan x))))) (- 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 (/ 1/2 x)) (/ 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)))) (sqrt (+ (* 1 1) (* x x))) (* x (+ (* 1/2 (pow x -2)) 1)) (+ (* 1/2 (pow x -2)) 1) (pow x -2) -2 (/ (- 1 (pow (* 1/2 (+ 1 (cos (atan x)))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (cos (atan x)))) (* 1 (sqrt (* 1/2 (+ 1 (cos (atan x))))))))) (- 1 (pow (* 1/2 (+ 1 (cos (atan x)))) 3/2)) (pow (* 1/2 (+ 1 (cos (atan x)))) 3/2) 3/2 (+ 1 (+ (* 1/2 (+ 1 (cos (atan x)))) (* 1 (sqrt (* 1/2 (+ 1 (cos (atan x)))))))) (+ (* 1/2 (+ 1 (cos (atan x)))) (* 1 (sqrt (* 1/2 (+ 1 (cos (atan x))))))) (* 1 (sqrt (* 1/2 (+ 1 (cos (atan x)))))))
6.0ms
x
@inf
((/ (- 1 (* 1/2 (+ 1 (cos (atan x))))) (+ 1 (sqrt (* 1/2 (+ 1 (cos (atan x))))))) (- 1 (* 1/2 (+ 1 (cos (atan x))))) 1 (* 1/2 (+ 1 (cos (atan x)))) 1/2 (+ 1 (cos (atan x))) (cos (atan x)) (atan x) x (+ 1 (sqrt (* 1/2 (+ 1 (cos (atan x)))))) (sqrt (* 1/2 (+ 1 (cos (atan x))))) (- 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 (/ 1/2 x)) (/ 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)))) (sqrt (+ (* 1 1) (* x x))) (* x (+ (* 1/2 (pow x -2)) 1)) (+ (* 1/2 (pow x -2)) 1) (pow x -2) -2 (/ (- 1 (pow (* 1/2 (+ 1 (cos (atan x)))) 3/2)) (+ 1 (+ (* 1/2 (+ 1 (cos (atan x)))) (* 1 (sqrt (* 1/2 (+ 1 (cos (atan x))))))))) (- 1 (pow (* 1/2 (+ 1 (cos (atan x)))) 3/2)) (pow (* 1/2 (+ 1 (cos (atan x)))) 3/2) 3/2 (+ 1 (+ (* 1/2 (+ 1 (cos (atan x)))) (* 1 (sqrt (* 1/2 (+ 1 (cos (atan x)))))))) (+ (* 1/2 (+ 1 (cos (atan x)))) (* 1 (sqrt (* 1/2 (+ 1 (cos (atan x))))))) (* 1 (sqrt (* 1/2 (+ 1 (cos (atan x)))))))

rewrite738.0ms (10.5%)

Memory
10.5MiB live, 289.0MiB allocated; 73ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05012937
17192929
27232927
37262925
47302923
57352921
67422921
77472921
87512921
97542921
107572921
07572318
128092166
082492137
196442100
2119182100
3149272100
4173582100
5186602100
6191682100
7192992100
8193392100
9193442100
10193452100
Stop Event
saturated
node limit
saturated
Counts
132 → 425
Calls
Call 1
Inputs
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x
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#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 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 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 1/2 binary64) (cos.f64 (atan.f64 x)))))))) (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal 3/2 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 1/2 binary64) (cos.f64 (atan.f64 x)))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal 3/2 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 1/2 binary64) (cos.f64 (atan.f64 x))))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))) (neg.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal 3/2 binary64)))) (neg.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 1/2 binary64) (cos.f64 (atan.f64 x)))))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 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 1/2 binary64) (cos.f64 (atan.f64 x)))))))) (*.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 1/2 binary64) (cos.f64 (atan.f64 x))))))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal 3/2 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 1/2 binary64) (cos.f64 (atan.f64 x))))))) (+.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 1/2 binary64) (cos.f64 (atan.f64 x)))))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) #s(literal 1 binary64))) (*.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))))) (*.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 (atan.f64 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 (cos.f64 (atan.f64 x)) #s(literal 2 binary64)))) (*.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 (cos.f64 (atan.f64 x)) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 (atan.f64 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 (cos.f64 (atan.f64 x)) #s(literal 2 binary64)))) (*.f64 (sqrt.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 (cos.f64 (atan.f64 x)) #s(literal 3 binary64)))) (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 (atan.f64 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 (cos.f64 (atan.f64 x)) #s(literal 2 binary64)))) (*.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 (cos.f64 (atan.f64 x)) #s(literal 3 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 (atan.f64 x)) #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 (cos.f64 (atan.f64 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 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 (atan.f64 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 (cos.f64 (atan.f64 x)) #s(literal 3 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 (atan.f64 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 (cos.f64 (atan.f64 x)) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 (atan.f64 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 (cos.f64 (atan.f64 x)) #s(literal 3 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 (atan.f64 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 (cos.f64 (atan.f64 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 (cos.f64 (atan.f64 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 (cos.f64 (atan.f64 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 (cos.f64 (atan.f64 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)))))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x))))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x))))))
(*.f64 (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))))) (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))))))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))
(+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x))))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 (cosh.f64 (asinh.f64 x))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (cosh.f64 (asinh.f64 x)))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (asinh.f64 x)) #s(literal 2 binary64))) (*.f64 (cosh.f64 (asinh.f64 x)) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (neg.f64 (cosh.f64 (asinh.f64 x))) #s(literal 2 binary64))) (*.f64 (neg.f64 (cosh.f64 (asinh.f64 x))) #s(literal 2 binary64)))
(+.f64 (*.f64 (sin.f64 (atan.f64 x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (atan.f64 x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (cosh.f64 (asinh.f64 x))) #s(literal -1 binary64)))
(cos.f64 (atan.f64 x))
(cos.f64 (atan.f64 (neg.f64 x)))
(cos.f64 (atan.f64 (fabs.f64 x)))
(cos.f64 (neg.f64 (atan.f64 (neg.f64 x))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(sin.f64 (+.f64 (atan.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (atan.f64 (neg.f64 x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (atan.f64 x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (atan.f64 x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (cosh.f64 (asinh.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 (asinh.f64 x))))
(pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -1 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))
(atan.f64 x)
x
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x))))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x))))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x))))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x))))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x))))))))
(exp.f64 (*.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (cos.f64 (atan.f64 x)))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))))
(sqrt.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x))))))
(sqrt.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal -1/2 binary64)))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (* 1/2 (+ 1 (cos (atan x))))) (+ 1 (sqrt (* 1/2 (+ 1 (cos (atan x))))))) #s(literal 0 binary64))
#s(literal 0 binary64)
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#s(approx (/ (- 1 (* 1/2 (+ 1 (cos (atan x))))) (+ 1 (sqrt (* 1/2 (+ 1 (cos (atan x))))))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.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)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (* 1/2 (+ 1 (cos (atan x))))) (+ 1 (sqrt (* 1/2 (+ 1 (cos (atan x))))))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -3/16 binary64) (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)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (cos (atan x))))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))
#s(approx (sqrt (* 1/2 (+ 1 (cos (atan x))))) (fma.f64 #s(literal -1 binary64) (/.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) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (cos (atan x))))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 3/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) x) (sqrt.f64 #s(literal 1/8 binary64))) x) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (cos (atan x)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (* 1/2 (+ 1 (cos (atan x)))) (fma.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(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (cos (atan x)))) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.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(literal 1/2 binary64)))
#s(approx (+ 1 (cos (atan x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ 1 (cos (atan x))) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) x) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (+ 1 (cos (atan x))) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.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(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (cos (atan x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (cos (atan x)) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) x)))
#s(approx (cos (atan x)) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.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 (cos (atan x)) (neg.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/16 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 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 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -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))) (neg.f64 (*.f64 x (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 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)))))))

eval85.0ms (1.2%)

Memory
-11.2MiB live, 175.9MiB allocated; 17ms collecting garbage
Compiler

Compiled 20 399 to 2 690 computations (86.8% saved)

prune26.0ms (0.4%)

Memory
15.7MiB live, 65.8MiB allocated; 6ms collecting garbage
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New61711628
Fresh123
Picked325
Done000
Total62115636
Accuracy
77.7%
Counts
636 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.4%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal 3/2 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))))
77.4%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))
77.4%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))
53.4%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))))))) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))))) (sqrt.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))))))))))))
76.2%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))))) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))))
77.4%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.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) (cos.f64 (atan.f64 x)))))))))
77.4%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))))))
77.4%
(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))))
52.2%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (cos (atan x)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (cos (atan x)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))))
77.4%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))))))
76.6%
(-.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))))))))
2.8%
(-.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))) #s(approx (* x (+ (* 1/2 (pow x -2)) 1)) (/.f64 #s(literal 1/2 binary64) x))))))))
51.4%
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
51.4%
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ 1/2 (/ 1/2 x)) #s(literal 1/2 binary64)))))
26.7%
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
Compiler

Compiled 980 to 515 computations (47.4% saved)

series38.0ms (0.5%)

Memory
-34.9MiB live, 56.3MiB allocated; 8ms collecting garbage
Counts
44 → 131
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal 3 binary64))))
#s(literal 1 binary64)
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal 3 binary64)))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal 3 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))
(cos.f64 (atan.f64 x))
(atan.f64 x)
x
#s(literal 3 binary64)
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))
(+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.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 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ 1/2 (/ 1/2 x)) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ 1/2 (/ 1/2 x)) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ 1/2 (/ 1/2 x)) #s(literal 1/2 binary64)))
#s(approx (+ 1/2 (/ 1/2 x)) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (cos (atan x)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (cos (atan x)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))))
(-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (cos (atan x)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (* 1/2 (+ 1 (cos (atan x)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (cos (atan x)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (cos (atan x)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.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) (cos.f64 (atan.f64 x)))))))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) #s(literal 3/2 binary64)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.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) (cos.f64 (atan.f64 x))))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.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) (cos.f64 (atan.f64 x)))))))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal 3/2 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal 3/2 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal 3 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal 3/2 binary64)))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal 3/2 binary64))
Outputs
#s(approx (/ (- 1 (sqrt (pow (+ 1/2 (* 1/2 (cos (atan x)))) 3))) (+ 1 (+ (* 1/2 (+ 1 (cos (atan x)))) (* 1 (sqrt (* 1/2 (+ 1 (cos (atan x))))))))) #s(hole binary64 (/ (- 1 (sqrt (pow (+ 1/2 (* 1/2 (cos (atan x)))) 3))) (+ 1 (+ (* 1/2 (+ 1 (cos (atan x)))) (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))))))
#s(approx (- 1 (sqrt (pow (+ 1/2 (* 1/2 (cos (atan x)))) 3))) #s(hole binary64 (- 1 (sqrt (pow (+ 1/2 (* 1/2 (cos (atan x)))) 3)))))
#s(approx (sqrt (pow (+ 1/2 (* 1/2 (cos (atan x)))) 3)) #s(hole binary64 (sqrt (pow (+ 1/2 (* 1/2 (cos (atan x)))) 3))))
#s(approx (pow (+ 1/2 (* 1/2 (cos (atan x)))) 3) #s(hole binary64 (pow (+ 1/2 (* 1/2 (cos (atan x)))) 3)))
#s(approx (+ 1/2 (* 1/2 (cos (atan x)))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (atan x))))))
#s(approx (* 1/2 (cos (atan x))) #s(hole binary64 (* 1/2 (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 (+ (* 1/2 (+ 1 (cos (atan x)))) (* 1 (sqrt (* 1/2 (+ 1 (cos (atan x)))))))) #s(hole binary64 (+ 1 (+ (* 1/2 (+ 1 (cos (atan x)))) (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))))
#s(approx (+ (* 1/2 (+ 1 (cos (atan x)))) (* 1 (sqrt (* 1/2 (+ 1 (cos (atan x))))))) #s(hole binary64 (+ (* 1/2 (+ 1 (cos (atan x)))) (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))))
#s(approx (+ 1 (cos (atan x))) #s(hole binary64 (+ 1 (cos (atan x)))))
#s(approx (* 1 (sqrt (* 1/2 (+ 1 (cos (atan x)))))) #s(hole binary64 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))
#s(approx (sqrt (* 1/2 (+ 1 (cos (atan x))))) #s(hole binary64 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))
#s(approx (* 1/2 (+ 1 (cos (atan x)))) #s(hole binary64 (* 1/2 (+ 1 (cos (atan x))))))
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Calls

3 calls:

TimeVariablePointExpression
13.0ms
x
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11.0ms
x
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10.0ms
x
@inf
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rewrite920.0ms (13.1%)

Memory
27.3MiB live, 202.1MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
07125949
110035943
210075941
310125937
410195933
510265931
610325925
710395923
810435923
910455923
1010485923
010484810
141744342
0100954209
1119264184
2151084165
3192674163
4219644163
5232454163
6237894163
7240794163
8242414163
9242734163
10242784163
Stop Event
saturated
node limit
saturated

end0.0ms (0%)

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

Profiling

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