Metrics for Hyperbolic arc-(co)secant

start0.0ms (0%)

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

analyze3.0ms (0.1%)

Memory

2.6MiB live, 2.6MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
33.3%	12.5%	25%	0%	0%	62.5%	0%	4
60%	18.7%	12.5%	0%	0%	68.7%	0%	5
77.8%	21.9%	6.2%	0%	0%	71.8%	0%	6
88.2%	23.4%	3.1%	0%	0%	73.4%	0%	7
93.9%	24.2%	1.6%	0%	0%	74.2%	0%	8
96.9%	24.6%	0.8%	0%	0%	74.6%	0%	9
98.4%	24.8%	0.4%	0%	0%	74.8%	0%	10
99.2%	24.9%	0.2%	0%	0%	74.9%	0%	11
99.6%	24.9%	0.1%	0%	0%	74.9%	0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample917.0ms (48.9%)

Memory

37.0MiB live, 961.0MiB allocated; 185ms collecting garbage

Samples

672.0ms	8 254×	0	valid
2.0ms	27×	0	invalid
0.0ms	2×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 469.0ms

ival-log: 153.0ms (32.6% of total)

ival-div!: 110.0ms (23.4% of total)

ival-sqrt: 96.0ms (20.5% of total)

ival-mult!: 63.0ms (13.4% of total)

ival-add!: 27.0ms (5.8% of total)

ival-sub!: 19.0ms (4% of total)

adjust: 1.0ms (0.2% of total)

Bogosity

preprocess45.0ms (2.4%)

Memory

-34.1MiB live, 57.4MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	27
1	84	27
2	314	26
3	1097	26

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))

Compiler

Compiled 26 to 18 computations (30.8% saved)

series7.0ms (0.4%)

Memory

17.4MiB live, 17.4MiB allocated; 0ms collecting garbage

Counts

9 → 51

Calls

Call 1

Inputs
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)

Outputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (* -1 (log x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ 2 x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) x)))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))
#s(approx (- 1 (* x x)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (sqrt -1)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (/ 1 x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (sqrt -1))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (* -1 (sqrt -1)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (* -1 (sqrt -1))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (* -1 (sqrt -1)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))) (/ 1/2 (* (pow x 2) (sqrt -1))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (* -1 (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (sqrt -1)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ 1 x) 1 x (/ (sqrt (- 1 (* x x))) x) (sqrt (- 1 (* x x))) (- 1 (* x x)) (* x x))
2.0ms	x	@	-inf	((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ 1 x) 1 x (/ (sqrt (- 1 (* x x))) x) (sqrt (- 1 (* x x))) (- 1 (* x x)) (* x x))
2.0ms	x	@	0	((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ 1 x) 1 x (/ (sqrt (- 1 (* x x))) x) (sqrt (- 1 (* x x))) (- 1 (* x x)) (* x x))

Time

Variable

Point

Expression

2.0ms

inf

((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ 1 x) 1 x (/ (sqrt (- 1 (* x x))) x) (sqrt (- 1 (* x x))) (- 1 (* x x)) (* x x))

2.0ms

-inf

((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ 1 x) 1 x (/ (sqrt (- 1 (* x x))) x) (sqrt (- 1 (* x x))) (- 1 (* x x)) (* x x))

2.0ms

((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ 1 x) 1 x (/ (sqrt (- 1 (* x x))) x) (sqrt (- 1 (* x x))) (- 1 (* x x)) (* x x))

rewrite73.0ms (3.9%)

Memory

3.0MiB live, 96.6MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	224	1386
0	235	1076
0	1273	1052

Stop Event

1×	iter-limit
1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

60 → 80

Calls

Call 1

Inputs
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (* -1 (log x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ 2 x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) x)))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))
#s(approx (- 1 (* x x)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (sqrt -1)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (/ 1 x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (sqrt -1))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (* -1 (sqrt -1)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (* -1 (sqrt -1))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (* -1 (sqrt -1)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))) (/ 1/2 (* (pow x 2) (sqrt -1))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (* -1 (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (sqrt -1)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))))

Outputs
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (-.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x)) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)
(/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) (*.f64 x x))
(+.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 x))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(tan.f64 (acos.f64 x))
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(sin.f64 (acos.f64 x))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(cos.f64 (asin.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) (.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (fma.f64 (-.f64 (.f64 #s(literal -3/32 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (fma.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -5/96 binary64) (.f64 x x)) #s(literal 3/32 binary64)) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/16 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx x x)
#s(approx (/ (sqrt (- 1 (* x x))) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (sqrt (- 1 (* x x))) x) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (sqrt (- 1 (* x x))) x) (/.f64 (fma.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/16 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sqrt (- 1 (* x x))) #s(literal 1 binary64))
#s(approx (sqrt (- 1 (* x x))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* x x))) (fma.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* x x))) (fma.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/16 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (- 1 (* x x)) (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 x x) x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) x))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (.f64 (*.f64 x x) x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x x))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x x))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x x))) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (/ (sqrt (- 1 (* x x))) x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x x))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x x))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))))))
#s(approx (sqrt (- 1 (* x x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))
#s(approx (sqrt (- 1 (* x x))) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x x))) (sqrt.f64 #s(literal -1 binary64))) x))
#s(approx (sqrt (- 1 (* x x))) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x x))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) x))
#s(approx (sqrt (- 1 (* x x))) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x x))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) x))
#s(approx (- 1 (* x x)) (neg.f64 (*.f64 x x)))
#s(approx (- 1 (* x x)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (.f64 x x)))) x)) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/40 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (.f64 x x)))) x)) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) #s(literal 1 binary64)) x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (/ (sqrt (- 1 (* x x))) x) (-.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x x)))))
#s(approx (/ (sqrt (- 1 (* x x))) x) (-.f64 (+.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x x)))))
#s(approx (/ (sqrt (- 1 (* x x))) x) (-.f64 (-.f64 (+.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x x)))) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))))))
#s(approx (sqrt (- 1 (* x x))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))
#s(approx (sqrt (- 1 (* x x))) (neg.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x x))) (sqrt.f64 #s(literal -1 binary64))) x)))
#s(approx (sqrt (- 1 (* x x))) (neg.f64 (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x x))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) x)))
#s(approx (sqrt (- 1 (* x x))) (neg.f64 (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x x))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) x)))

eval7.0ms (0.4%)

Memory: 19.0MiB live, 19.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 955 to 398 computations (79.6% saved)

prune18.0ms (0.9%)

Memory

-34.3MiB live, 11.5MiB allocated; 4ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	67	5	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	5	73

Accuracy

100.0%

Counts

73 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
▶	98.7%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))
▶	97.9%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
▶	0.0%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
▶	98.0%	#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64))))

Compiler

Compiled 172 to 124 computations (27.9% saved)

series105.0ms (5.6%)

Memory

13.1MiB live, 195.6MiB allocated; 32ms collecting garbage

Counts

26 → 62

Calls

Call 1

Inputs
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
(/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)
(+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(literal 1 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
x
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))
(sqrt.f64 #s(literal -1 binary64))
#s(literal -1 binary64)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64)))
(neg.f64 (log.f64 x))
(log.f64 x)
(log.f64 #s(literal 2 binary64))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64))
#s(literal -1/2 binary64)

Outputs
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (+ (log 2) (* -1 (log x)))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (/ 2 x)))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 2))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))
#s(approx (- 1 (* x x)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (neg (log x)) (log 2)) #s(hole binary64 (- (log 2) (log x))))
#s(approx (neg (log x)) #s(hole binary64 (* -1 (log x))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (sqrt -1)))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (+ (sqrt -1) (/ 1 x))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* x (sqrt -1))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* x (+ (sqrt -1) (/ 1 x)))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* x (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))
#s(approx (+ (neg (log x)) (log 2)) #s(hole binary64 (- (log 2) (* -1 (log (/ 1 x))))))
#s(approx (neg (log x)) #s(hole binary64 (log (/ 1 x))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) #s(hole binary64 (* x (- (* 2 (/ 1 (pow x 2))) 1/2))))
#s(approx (+ (* -1/2 (* x x)) 2) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* -1/2 (* x x)) 2) #s(hole binary64 (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (log (* -1 (sqrt -1)))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (* -1 (sqrt -1))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* -1 (* x (sqrt -1)))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* -1 (* x (- (sqrt -1) (/ 1 x))))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* -1 (/ (- 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)))))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) x)))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) #s(hole binary64 (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))))

Calls

3 calls:

Time	Variable		Point	Expression
61.0ms	x	@	0	((log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) (/ (+ 1 (sqrt (- 1 (* x x)))) x) (+ 1 (sqrt (- 1 (* x x)))) 1 (sqrt (- 1 (* x x))) (- 1 (* x x)) (* x x) x (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt -1) -1 (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ 2 x) 2 (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (neg (log x)) (log 2)) (neg (log x)) (log x) (log 2) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* -1/2 (* x x)) 2) x) (+ (* -1/2 (* x x)) 2) -1/2)
25.0ms	x	@	inf	((log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) (/ (+ 1 (sqrt (- 1 (* x x)))) x) (+ 1 (sqrt (- 1 (* x x)))) 1 (sqrt (- 1 (* x x))) (- 1 (* x x)) (* x x) x (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt -1) -1 (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ 2 x) 2 (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (neg (log x)) (log 2)) (neg (log x)) (log x) (log 2) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* -1/2 (* x x)) 2) x) (+ (* -1/2 (* x x)) 2) -1/2)
18.0ms	x	@	-inf	((log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) (/ (+ 1 (sqrt (- 1 (* x x)))) x) (+ 1 (sqrt (- 1 (* x x)))) 1 (sqrt (- 1 (* x x))) (- 1 (* x x)) (* x x) x (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt -1) -1 (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ 2 x) 2 (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (neg (log x)) (log 2)) (neg (log x)) (log x) (log 2) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* -1/2 (* x x)) 2) x) (+ (* -1/2 (* x x)) 2) -1/2)

Time

Variable

Point

Expression

61.0ms

((log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) (/ (+ 1 (sqrt (- 1 (* x x)))) x) (+ 1 (sqrt (- 1 (* x x)))) 1 (sqrt (- 1 (* x x))) (- 1 (* x x)) (* x x) x (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt -1) -1 (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ 2 x) 2 (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (neg (log x)) (log 2)) (neg (log x)) (log x) (log 2) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* -1/2 (* x x)) 2) x) (+ (* -1/2 (* x x)) 2) -1/2)

25.0ms

inf

((log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) (/ (+ 1 (sqrt (- 1 (* x x)))) x) (+ 1 (sqrt (- 1 (* x x)))) 1 (sqrt (- 1 (* x x))) (- 1 (* x x)) (* x x) x (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt -1) -1 (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ 2 x) 2 (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (neg (log x)) (log 2)) (neg (log x)) (log x) (log 2) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* -1/2 (* x x)) 2) x) (+ (* -1/2 (* x x)) 2) -1/2)

18.0ms

-inf

((log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) (/ (+ 1 (sqrt (- 1 (* x x)))) x) (+ 1 (sqrt (- 1 (* x x)))) 1 (sqrt (- 1 (* x x))) (- 1 (* x x)) (* x x) x (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt -1) -1 (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ 2 x) 2 (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (neg (log x)) (log 2)) (neg (log x)) (log x) (log 2) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* -1/2 (* x x)) 2) x) (+ (* -1/2 (* x x)) 2) -1/2)

rewrite95.0ms (5.1%)

Memory

17.3MiB live, 108.1MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	282	1612
0	304	1323
0	1506	1289

Stop Event

1×	iter-limit
1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

88 → 135

Calls

Call 1

Inputs
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
(/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)
(+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(literal 1 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
x
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))
(sqrt.f64 #s(literal -1 binary64))
#s(literal -1 binary64)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64)))
(neg.f64 (log.f64 x))
(log.f64 x)
(log.f64 #s(literal 2 binary64))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64))
#s(literal -1/2 binary64)
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (+ (log 2) (* -1 (log x)))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (/ 2 x)))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 2))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))
#s(approx (- 1 (* x x)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (neg (log x)) (log 2)) #s(hole binary64 (- (log 2) (log x))))
#s(approx (neg (log x)) #s(hole binary64 (* -1 (log x))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (sqrt -1)))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (+ (sqrt -1) (/ 1 x))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* x (sqrt -1))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* x (+ (sqrt -1) (/ 1 x)))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* x (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))
#s(approx (+ (neg (log x)) (log 2)) #s(hole binary64 (- (log 2) (* -1 (log (/ 1 x))))))
#s(approx (neg (log x)) #s(hole binary64 (log (/ 1 x))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) #s(hole binary64 (* x (- (* 2 (/ 1 (pow x 2))) 1/2))))
#s(approx (+ (* -1/2 (* x x)) 2) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* -1/2 (* x x)) 2) #s(hole binary64 (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (log (* -1 (sqrt -1)))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))))
#s(approx (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (* -1 (sqrt -1))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))))
#s(approx (/ (+ 1 (sqrt (- 1 (* x x)))) x) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* -1 (* x (sqrt -1)))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* -1 (* x (- (sqrt -1) (/ 1 x))))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* -1 (/ (- 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)))))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) x)))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) #s(hole binary64 (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))))

Outputs
(-.f64 (log.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))) (log.f64 x))
(log.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) x))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (-.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x)) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x)))))
(/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) (*.f64 x x))
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) x)
(+.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))))
(+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(literal 1 binary64)
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eval111.0ms (5.9%)

Memory: -37.8MiB live, 84.1MiB allocated; 109ms collecting garbage
Compiler: Compiled 3 071 to 613 computations (80% saved)

prune4.0ms (0.2%)

Memory

13.6MiB live, 13.6MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	116	2	118
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	116	7	123

Accuracy

100.0%

Counts

123 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
✓	98.7%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))
✓	97.9%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
✓	0.0%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
▶	51.8%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* -1/2 (* x x)) 2) x) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x))))
▶	97.7%	#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)) (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64)))))))
✓	98.0%	#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64))))

Compiler

Compiled 163 to 107 computations (34.4% saved)

series89.0ms (4.7%)

Memory

18.0MiB live, 158.2MiB allocated; 23ms collecting garbage

Counts

23 → 49

Calls

Call 1

Inputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)) (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)) (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64))))))
(+.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))
(neg.f64 (log.f64 x))
(log.f64 x)
x
#s(literal 3 binary64)
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)) (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64)))))
(-.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64))))
(*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))
(*.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* -1/2 (* x x)) 2) x) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* -1/2 (* x x)) 2) x) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x)))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x))
(.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x)
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 x x)
#s(literal 1/2 binary64)

Outputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (* -1 (log x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))))
#s(approx (/ (+ (pow (neg (log x)) 3) (pow (log 2) 3)) (+ (* (neg (log x)) (neg (log x))) (- (* (log 2) (log 2)) (* (neg (log x)) (log 2))))) #s(hole binary64 (/ (+ (* -1 (pow (log x) 3)) (pow (log 2) 3)) (- (+ (pow (log 2) 2) (pow (log x) 2)) (* -1 (* (log 2) (log x)))))))
#s(approx (+ (pow (neg (log x)) 3) (pow (log 2) 3)) #s(hole binary64 (+ (* -1 (pow (log x) 3)) (pow (log 2) 3))))
#s(approx (pow (neg (log x)) 3) #s(hole binary64 (* -1 (pow (log x) 3))))
#s(approx (neg (log x)) #s(hole binary64 (* -1 (log x))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (neg (log x)) (neg (log x))) (- (* (log 2) (log 2)) (* (neg (log x)) (log 2)))) #s(hole binary64 (- (+ (pow (log 2) 2) (pow (log x) 2)) (* -1 (* (log 2) (log x))))))
#s(approx (- (* (log 2) (log 2)) (* (neg (log x)) (log 2))) #s(hole binary64 (- (pow (log 2) 2) (* -1 (* (log 2) (log x))))))
#s(approx (* (neg (log x)) (log 2)) #s(hole binary64 (* -1 (* (log 2) (log x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ 2 x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)))
#s(approx (- (/ 2 (* x x)) 1/2) #s(hole binary64 (/ 2 (pow x 2))))
#s(approx (- (/ 2 (* x x)) 1/2) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))))
#s(approx (/ (+ (pow (neg (log x)) 3) (pow (log 2) 3)) (+ (* (neg (log x)) (neg (log x))) (- (* (log 2) (log 2)) (* (neg (log x)) (log 2))))) #s(hole binary64 (/ (+ (pow (log 2) 3) (pow (log (/ 1 x)) 3)) (- (+ (pow (log 2) 2) (pow (log (/ 1 x)) 2)) (* (log 2) (log (/ 1 x)))))))
#s(approx (+ (pow (neg (log x)) 3) (pow (log 2) 3)) #s(hole binary64 (+ (pow (log 2) 3) (pow (log (/ 1 x)) 3))))
#s(approx (pow (neg (log x)) 3) #s(hole binary64 (pow (log (/ 1 x)) 3)))
#s(approx (neg (log x)) #s(hole binary64 (log (/ 1 x))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (+ (* (neg (log x)) (neg (log x))) (- (* (log 2) (log 2)) (* (neg (log x)) (log 2)))) #s(hole binary64 (- (+ (pow (log 2) 2) (pow (log (/ 1 x)) 2)) (* (log 2) (log (/ 1 x))))))
#s(approx (- (* (log 2) (log 2)) (* (neg (log x)) (log 2))) #s(hole binary64 (- (pow (log 2) 2) (* (log 2) (log (/ 1 x))))))
#s(approx (* (neg (log x)) (log 2)) #s(hole binary64 (* (log 2) (log (/ 1 x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (sqrt -1)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (/ 1 x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) #s(hole binary64 (* x (- (* 2 (/ 1 (pow x 2))) 1/2))))
#s(approx (- (/ 2 (* x x)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ 2 (* x x)) 1/2) #s(hole binary64 (- (* 2 (/ 1 (pow x 2))) 1/2)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (* -1 (sqrt -1)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (* -1 (sqrt -1))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) #s(hole binary64 (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))))

Calls

3 calls:

Time	Variable		Point	Expression
32.0ms	x	@	inf	((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/ (+ (pow (neg (log x)) 3) (pow (log 2) 3)) (+ (* (neg (log x)) (neg (log x))) (- (* (log 2) (log 2)) (* (neg (log x)) (log 2))))) (+ (pow (neg (log x)) 3) (pow (log 2) 3)) (pow (neg (log x)) 3) (neg (log x)) (log x) x 3 (pow (log 2) 3) (log 2) 2 (+ (* (neg (log x)) (neg (log x))) (- (* (log 2) (log 2)) (* (neg (log x)) (log 2)))) (- (* (log 2) (log 2)) (* (neg (log x)) (log 2))) (* (log 2) (log 2)) (* (neg (log x)) (log 2)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* -1/2 (* x x)) 2) x) (* (- (/ 2 (* x x)) 1/2) x) (- (/ 2 (* x x)) 1/2) (/ 2 (* x x)) (* x x) 1/2)
29.0ms	x	@	0	((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/ (+ (pow (neg (log x)) 3) (pow (log 2) 3)) (+ (* (neg (log x)) (neg (log x))) (- (* (log 2) (log 2)) (* (neg (log x)) (log 2))))) (+ (pow (neg (log x)) 3) (pow (log 2) 3)) (pow (neg (log x)) 3) (neg (log x)) (log x) x 3 (pow (log 2) 3) (log 2) 2 (+ (* (neg (log x)) (neg (log x))) (- (* (log 2) (log 2)) (* (neg (log x)) (log 2)))) (- (* (log 2) (log 2)) (* (neg (log x)) (log 2))) (* (log 2) (log 2)) (* (neg (log x)) (log 2)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* -1/2 (* x x)) 2) x) (* (- (/ 2 (* x x)) 1/2) x) (- (/ 2 (* x x)) 1/2) (/ 2 (* x x)) (* x x) 1/2)
27.0ms	x	@	-inf	((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/ (+ (pow (neg (log x)) 3) (pow (log 2) 3)) (+ (* (neg (log x)) (neg (log x))) (- (* (log 2) (log 2)) (* (neg (log x)) (log 2))))) (+ (pow (neg (log x)) 3) (pow (log 2) 3)) (pow (neg (log x)) 3) (neg (log x)) (log x) x 3 (pow (log 2) 3) (log 2) 2 (+ (* (neg (log x)) (neg (log x))) (- (* (log 2) (log 2)) (* (neg (log x)) (log 2)))) (- (* (log 2) (log 2)) (* (neg (log x)) (log 2))) (* (log 2) (log 2)) (* (neg (log x)) (log 2)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* -1/2 (* x x)) 2) x) (* (- (/ 2 (* x x)) 1/2) x) (- (/ 2 (* x x)) 1/2) (/ 2 (* x x)) (* x x) 1/2)

Time

Variable

Point

Expression

32.0ms

inf

((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/ (+ (pow (neg (log x)) 3) (pow (log 2) 3)) (+ (* (neg (log x)) (neg (log x))) (- (* (log 2) (log 2)) (* (neg (log x)) (log 2))))) (+ (pow (neg (log x)) 3) (pow (log 2) 3)) (pow (neg (log x)) 3) (neg (log x)) (log x) x 3 (pow (log 2) 3) (log 2) 2 (+ (* (neg (log x)) (neg (log x))) (- (* (log 2) (log 2)) (* (neg (log x)) (log 2)))) (- (* (log 2) (log 2)) (* (neg (log x)) (log 2))) (* (log 2) (log 2)) (* (neg (log x)) (log 2)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* -1/2 (* x x)) 2) x) (* (- (/ 2 (* x x)) 1/2) x) (- (/ 2 (* x x)) 1/2) (/ 2 (* x x)) (* x x) 1/2)

29.0ms

((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/ (+ (pow (neg (log x)) 3) (pow (log 2) 3)) (+ (* (neg (log x)) (neg (log x))) (- (* (log 2) (log 2)) (* (neg (log x)) (log 2))))) (+ (pow (neg (log x)) 3) (pow (log 2) 3)) (pow (neg (log x)) 3) (neg (log x)) (log x) x 3 (pow (log 2) 3) (log 2) 2 (+ (* (neg (log x)) (neg (log x))) (- (* (log 2) (log 2)) (* (neg (log x)) (log 2)))) (- (* (log 2) (log 2)) (* (neg (log x)) (log 2))) (* (log 2) (log 2)) (* (neg (log x)) (log 2)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* -1/2 (* x x)) 2) x) (* (- (/ 2 (* x x)) 1/2) x) (- (/ 2 (* x x)) 1/2) (/ 2 (* x x)) (* x x) 1/2)

27.0ms

-inf

((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/ (+ (pow (neg (log x)) 3) (pow (log 2) 3)) (+ (* (neg (log x)) (neg (log x))) (- (* (log 2) (log 2)) (* (neg (log x)) (log 2))))) (+ (pow (neg (log x)) 3) (pow (log 2) 3)) (pow (neg (log x)) 3) (neg (log x)) (log x) x 3 (pow (log 2) 3) (log 2) 2 (+ (* (neg (log x)) (neg (log x))) (- (* (log 2) (log 2)) (* (neg (log x)) (log 2)))) (- (* (log 2) (log 2)) (* (neg (log x)) (log 2))) (* (log 2) (log 2)) (* (neg (log x)) (log 2)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* -1/2 (* x x)) 2) x) (* (- (/ 2 (* x x)) 1/2) x) (- (/ 2 (* x x)) 1/2) (/ 2 (* x x)) (* x x) 1/2)

rewrite67.0ms (3.6%)

Memory

-12.0MiB live, 79.3MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	244	1457
0	276	1078
0	1453	1058

Stop Event

1×	iter-limit
1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

72 → 179

Calls

Call 1

Inputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)) (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)) (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64))))))
(+.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))
(neg.f64 (log.f64 x))
(log.f64 x)
x
#s(literal 3 binary64)
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)) (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64)))))
(-.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64))))
(*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))
(*.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* -1/2 (* x x)) 2) x) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* -1/2 (* x x)) 2) x) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x)))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x))
(.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x)
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 x x)
#s(literal 1/2 binary64)
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (* -1 (log x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))))
#s(approx (/ (+ (pow (neg (log x)) 3) (pow (log 2) 3)) (+ (* (neg (log x)) (neg (log x))) (- (* (log 2) (log 2)) (* (neg (log x)) (log 2))))) #s(hole binary64 (/ (+ (* -1 (pow (log x) 3)) (pow (log 2) 3)) (- (+ (pow (log 2) 2) (pow (log x) 2)) (* -1 (* (log 2) (log x)))))))
#s(approx (+ (pow (neg (log x)) 3) (pow (log 2) 3)) #s(hole binary64 (+ (* -1 (pow (log x) 3)) (pow (log 2) 3))))
#s(approx (pow (neg (log x)) 3) #s(hole binary64 (* -1 (pow (log x) 3))))
#s(approx (neg (log x)) #s(hole binary64 (* -1 (log x))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (neg (log x)) (neg (log x))) (- (* (log 2) (log 2)) (* (neg (log x)) (log 2)))) #s(hole binary64 (- (+ (pow (log 2) 2) (pow (log x) 2)) (* -1 (* (log 2) (log x))))))
#s(approx (- (* (log 2) (log 2)) (* (neg (log x)) (log 2))) #s(hole binary64 (- (pow (log 2) 2) (* -1 (* (log 2) (log x))))))
#s(approx (* (neg (log x)) (log 2)) #s(hole binary64 (* -1 (* (log 2) (log x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ 2 x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)))
#s(approx (- (/ 2 (* x x)) 1/2) #s(hole binary64 (/ 2 (pow x 2))))
#s(approx (- (/ 2 (* x x)) 1/2) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))))
#s(approx (/ (+ (pow (neg (log x)) 3) (pow (log 2) 3)) (+ (* (neg (log x)) (neg (log x))) (- (* (log 2) (log 2)) (* (neg (log x)) (log 2))))) #s(hole binary64 (/ (+ (pow (log 2) 3) (pow (log (/ 1 x)) 3)) (- (+ (pow (log 2) 2) (pow (log (/ 1 x)) 2)) (* (log 2) (log (/ 1 x)))))))
#s(approx (+ (pow (neg (log x)) 3) (pow (log 2) 3)) #s(hole binary64 (+ (pow (log 2) 3) (pow (log (/ 1 x)) 3))))
#s(approx (pow (neg (log x)) 3) #s(hole binary64 (pow (log (/ 1 x)) 3)))
#s(approx (neg (log x)) #s(hole binary64 (log (/ 1 x))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (+ (* (neg (log x)) (neg (log x))) (- (* (log 2) (log 2)) (* (neg (log x)) (log 2)))) #s(hole binary64 (- (+ (pow (log 2) 2) (pow (log (/ 1 x)) 2)) (* (log 2) (log (/ 1 x))))))
#s(approx (- (* (log 2) (log 2)) (* (neg (log x)) (log 2))) #s(hole binary64 (- (pow (log 2) 2) (* (log 2) (log (/ 1 x))))))
#s(approx (* (neg (log x)) (log 2)) #s(hole binary64 (* (log 2) (log (/ 1 x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (sqrt -1)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (/ 1 x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) #s(hole binary64 (* x (- (* 2 (/ 1 (pow x 2))) 1/2))))
#s(approx (- (/ 2 (* x x)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ 2 (* x x)) 1/2) #s(hole binary64 (- (* 2 (/ 1 (pow x 2))) 1/2)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (* -1 (sqrt -1)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (* -1 (sqrt -1))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) #s(hole binary64 (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))))

Outputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))
(/.f64 (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (.f64 (log.f64 x) (log.f64 x))) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))))
(fma.f64 (log.f64 x) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (log.f64 x)))
(+.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))) (/.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (log.f64 x) (.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))))
(+.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (log.f64 x) (.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64)))
(.f64 (fma.f64 (log.f64 x) (log.f64 x) (.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))) (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))
(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))) (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)))))
(/.f64 (-.f64 (.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))) (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (-.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (-.f64 (.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))) (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))) (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))))
(fma.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))))
(fma.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 (*.f64 (log.f64 x) (log.f64 x)) (neg.f64 (log.f64 x)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))))
(fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 #s(literal -1 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))))
(fma.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 x) (log.f64 x)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))))
(+.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3/2 binary64)))
(.f64 (.f64 (log.f64 x) (log.f64 x)) (neg.f64 (log.f64 x)))
(*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(.f64 (neg.f64 (log.f64 x)) (.f64 (log.f64 x) (log.f64 x)))
(pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))
(neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 x))) #s(literal 3 binary64)))
(*.f64 (log.f64 x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (log.f64 x))
(neg.f64 (log.f64 x))
(-.f64 #s(literal 0 binary64) (log.f64 x))
(log.f64 (/.f64 #s(literal 1 binary64) x))
(log.f64 x)
x
#s(literal 3 binary64)
(*.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)))
(.f64 (log.f64 #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))))
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (-.f64 (.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (log.f64 x) (log.f64 x))) (.f64 (.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))) (.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))) (-.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))))
(/.f64 (-.f64 (.f64 (fma.f64 (log.f64 x) (log.f64 x) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))) (fma.f64 (log.f64 x) (log.f64 x) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))))) (.f64 (.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))) (.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))) (+.f64 (fma.f64 (log.f64 x) (log.f64 x) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))) (.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))) #s(literal 3 binary64))) (fma.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (log.f64 x) (log.f64 x)) (-.f64 (.f64 (.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))) (.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))) (.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 x) (log.f64 x) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))) #s(literal 3 binary64))) (fma.f64 (fma.f64 (log.f64 x) (log.f64 x) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))) (fma.f64 (log.f64 x) (log.f64 x) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))) (fma.f64 (.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))) (.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))) (.f64 (fma.f64 (log.f64 x) (log.f64 x) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))) (*.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))))
(fma.f64 (pow.f64 (log.f64 x) #s(literal 1 binary64)) (pow.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))
(fma.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))
(fma.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))
(fma.f64 (fabs.f64 (neg.f64 (log.f64 x))) (fabs.f64 (neg.f64 (log.f64 x))) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))
(fma.f64 (fabs.f64 (log.f64 #s(literal 2 binary64))) (fabs.f64 (log.f64 #s(literal 2 binary64))) (-.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))
(fma.f64 (neg.f64 (neg.f64 (log.f64 x))) (neg.f64 (neg.f64 (log.f64 x))) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))
(fma.f64 (neg.f64 (log.f64 #s(literal 2 binary64))) (neg.f64 (log.f64 #s(literal 2 binary64))) (-.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))
(fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))
(fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))) (*.f64 (log.f64 x) (log.f64 x)))
(fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (-.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))
(fma.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))
(-.f64 (fma.f64 (log.f64 x) (log.f64 x) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))) (.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))
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(*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))
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(fma.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (log.f64 #s(literal 2 binary64))) (neg.f64 (log.f64 x))))
(fma.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))))
(fma.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))
(fma.f64 (fabs.f64 (log.f64 #s(literal 2 binary64))) (fabs.f64 (log.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (log.f64 #s(literal 2 binary64))) (neg.f64 (log.f64 x))))
(fma.f64 (fabs.f64 (log.f64 #s(literal 2 binary64))) (fabs.f64 (log.f64 #s(literal 2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))))
(fma.f64 (fabs.f64 (log.f64 #s(literal 2 binary64))) (fabs.f64 (log.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))))
(fma.f64 (fabs.f64 (log.f64 #s(literal 2 binary64))) (fabs.f64 (log.f64 #s(literal 2 binary64))) (*.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))
(fma.f64 (neg.f64 (log.f64 #s(literal 2 binary64))) (neg.f64 (log.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (log.f64 #s(literal 2 binary64))) (neg.f64 (log.f64 x))))
(fma.f64 (neg.f64 (log.f64 #s(literal 2 binary64))) (neg.f64 (log.f64 #s(literal 2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (log.f64 #s(literal 2 binary64))) (neg.f64 (log.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))))
(fma.f64 (neg.f64 (log.f64 #s(literal 2 binary64))) (neg.f64 (log.f64 #s(literal 2 binary64))) (*.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))
(fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 #s(literal 2 binary64))) (neg.f64 (log.f64 x))))
(fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))))
(fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))))
(fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))
(-.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))
(+.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (log.f64 #s(literal 2 binary64))) (neg.f64 (log.f64 x))))
(+.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (.f64 #s(literal 1 binary64) (*.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (fabs.f64 (log.f64 #s(literal 2 binary64))) (fabs.f64 (log.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 (log.f64 #s(literal 2 binary64))) (neg.f64 (log.f64 #s(literal 2 binary64))))
(*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))))
(.f64 (.f64 #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (log.f64 x))
(.f64 (.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))
(*.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))
(*.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64)))
(neg.f64 (*.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64))))
(log.f64 (pow.f64 #s(literal 2 binary64) (neg.f64 (log.f64 x))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* -1/2 (* x x)) 2) x) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* -1/2 (* x x)) 2) x) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x)))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x))
(.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x)
(.f64 x (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 x x)))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(literal 1/2 binary64)
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (fma.f64 (-.f64 (.f64 #s(literal -3/32 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (fma.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -5/96 binary64) (.f64 x x)) #s(literal 3/32 binary64)) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (pow (neg (log x)) 3) (pow (log 2) 3)) (+ (* (neg (log x)) (neg (log x))) (- (* (log 2) (log 2)) (* (neg (log x)) (log 2))))) (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))
#s(approx (+ (pow (neg (log x)) 3) (pow (log 2) 3)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)))))
#s(approx (pow (neg (log x)) 3) (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))))
#s(approx (neg (log x)) (neg.f64 (log.f64 x)))
#s(approx (log x) (log.f64 x))
#s(approx x x)
#s(approx (+ (* (neg (log x)) (neg (log x))) (- (* (log 2) (log 2)) (* (neg (log x)) (log 2)))) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))))
#s(approx (- (* (log 2) (log 2)) (* (neg (log x)) (log 2))) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))
#s(approx (* (neg (log x)) (log 2)) (*.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/16 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (/ 2 (* x x)) 1/2) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
#s(approx (- (/ 2 (* x x)) 1/2) (/.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) (.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 x x) x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) x))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (.f64 (*.f64 x x) x)))))
#s(approx (/ (+ (pow (neg (log x)) 3) (pow (log 2) 3)) (+ (* (neg (log x)) (neg (log x))) (- (* (log 2) (log 2)) (* (neg (log x)) (log 2))))) (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))
#s(approx (+ (pow (neg (log x)) 3) (pow (log 2) 3)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)))))
#s(approx (pow (neg (log x)) 3) (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))))
#s(approx (neg (log x)) (neg.f64 (log.f64 x)))
#s(approx (log x) (neg.f64 (neg.f64 (log.f64 x))))
#s(approx (+ (* (neg (log x)) (neg (log x))) (- (* (log 2) (log 2)) (* (neg (log x)) (log 2)))) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))))
#s(approx (- (* (log 2) (log 2)) (* (neg (log x)) (log 2))) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))
#s(approx (* (neg (log x)) (log 2)) (*.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x x)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (-.f64 (+.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))))))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x))
#s(approx (- (/ 2 (* x x)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (/ 2 (* x x)) 1/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (.f64 x x)))) x)) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/40 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (.f64 x x)))) x)) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) #s(literal 1 binary64)) x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x)))

eval30.0ms (1.6%)

Memory: 0.3MiB live, 45.8MiB allocated; 4ms collecting garbage
Compiler: Compiled 6 620 to 804 computations (87.9% saved)

prune5.0ms (0.3%)

Memory

12.8MiB live, 12.8MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	148	2	150
Fresh	0	0	0
Picked	1	1	2
Done	0	5	5
Total	149	8	157

Accuracy

100.0%

Counts

157 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
✓	98.7%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))
✓	97.9%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
✓	0.0%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
✓	51.8%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* -1/2 (* x x)) 2) x) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x))))
▶	51.0%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* -1/2 (* x x)) 2) x) (.f64 #s(approx (- (/ 2 ( x x)) 1/2) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x))))
▶	97.7%	#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))))
✓	98.0%	#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64))))

Compiler

Compiled 197 to 130 computations (34% saved)

series76.0ms (4.1%)

Memory

12.0MiB live, 153.1MiB allocated; 18ms collecting garbage

Counts

21 → 49

Calls

Call 1

Inputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))))
(+.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))
(neg.f64 (log.f64 x))
(log.f64 x)
x
#s(literal 3 binary64)
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))
(*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))
(-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* -1/2 (* x x)) 2) x) (.f64 #s(approx (- (/ 2 ( x x)) 1/2) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* -1/2 (* x x)) 2) x) (.f64 #s(approx (- (/ 2 ( x x)) 1/2) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x)))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) (.f64 #s(approx (- (/ 2 ( x x)) 1/2) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x))
(.f64 #s(approx (- (/ 2 ( x x)) 1/2) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x)
#s(approx (- (/ 2 (* x x)) 1/2) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 x x)

Outputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (* -1 (log x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))))
#s(approx (/ (+ (pow (neg (log x)) 3) (pow (log 2) 3)) (+ (* (log x) (log x)) (* (log 2) (- (log 2) (neg (log x)))))) #s(hole binary64 (/ (+ (* -1 (pow (log x) 3)) (pow (log 2) 3)) (+ (* (log 2) (+ (log 2) (log x))) (pow (log x) 2)))))
#s(approx (+ (pow (neg (log x)) 3) (pow (log 2) 3)) #s(hole binary64 (+ (* -1 (pow (log x) 3)) (pow (log 2) 3))))
#s(approx (pow (neg (log x)) 3) #s(hole binary64 (* -1 (pow (log x) 3))))
#s(approx (neg (log x)) #s(hole binary64 (* -1 (log x))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (log x) (log x)) (* (log 2) (- (log 2) (neg (log x))))) #s(hole binary64 (+ (* (log 2) (+ (log 2) (log x))) (pow (log x) 2))))
#s(approx (* (log 2) (- (log 2) (neg (log x)))) #s(hole binary64 (* (log 2) (+ (log 2) (log x)))))
#s(approx (- (log 2) (neg (log x))) #s(hole binary64 (+ (log 2) (log x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ 2 x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)))
#s(approx (- (/ 2 (* x x)) 1/2) #s(hole binary64 (/ 2 (pow x 2))))
#s(approx (- (/ 2 (* x x)) 1/2) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))))
#s(approx (/ (+ (pow (neg (log x)) 3) (pow (log 2) 3)) (+ (* (log x) (log x)) (* (log 2) (- (log 2) (neg (log x)))))) #s(hole binary64 (/ (+ (pow (log 2) 3) (pow (log (/ 1 x)) 3)) (+ (* (log 2) (+ (log 2) (* -1 (log (/ 1 x))))) (pow (log (/ 1 x)) 2)))))
#s(approx (+ (pow (neg (log x)) 3) (pow (log 2) 3)) #s(hole binary64 (+ (pow (log 2) 3) (pow (log (/ 1 x)) 3))))
#s(approx (pow (neg (log x)) 3) #s(hole binary64 (pow (log (/ 1 x)) 3)))
#s(approx (neg (log x)) #s(hole binary64 (log (/ 1 x))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (+ (* (log x) (log x)) (* (log 2) (- (log 2) (neg (log x))))) #s(hole binary64 (+ (* (log 2) (+ (log 2) (* -1 (log (/ 1 x))))) (pow (log (/ 1 x)) 2))))
#s(approx (* (log 2) (- (log 2) (neg (log x)))) #s(hole binary64 (* (log 2) (+ (log 2) (* -1 (log (/ 1 x)))))))
#s(approx (- (log 2) (neg (log x))) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (sqrt -1)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (/ 1 x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) #s(hole binary64 (* x (- (* 2 (/ 1 (pow x 2))) 1/2))))
#s(approx (- (/ 2 (* x x)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ 2 (* x x)) 1/2) #s(hole binary64 (- (* 2 (/ 1 (pow x 2))) 1/2)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (* -1 (sqrt -1)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (* -1 (sqrt -1))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) #s(hole binary64 (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))))

Calls

3 calls:

Time	Variable		Point	Expression
39.0ms	x	@	0	((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/ (+ (pow (neg (log x)) 3) (pow (log 2) 3)) (+ (* (log x) (log x)) (* (log 2) (- (log 2) (neg (log x)))))) (+ (pow (neg (log x)) 3) (pow (log 2) 3)) (pow (neg (log x)) 3) (neg (log x)) (log x) x 3 (pow (log 2) 3) (log 2) 2 (+ (* (log x) (log x)) (* (log 2) (- (log 2) (neg (log x))))) (* (log 2) (- (log 2) (neg (log x)))) (- (log 2) (neg (log x))) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* -1/2 (* x x)) 2) x) (* (- (/ 2 (* x x)) 1/2) x) (- (/ 2 (* x x)) 1/2) (/ 2 (* x x)) (* x x))
18.0ms	x	@	-inf	((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/ (+ (pow (neg (log x)) 3) (pow (log 2) 3)) (+ (* (log x) (log x)) (* (log 2) (- (log 2) (neg (log x)))))) (+ (pow (neg (log x)) 3) (pow (log 2) 3)) (pow (neg (log x)) 3) (neg (log x)) (log x) x 3 (pow (log 2) 3) (log 2) 2 (+ (* (log x) (log x)) (* (log 2) (- (log 2) (neg (log x))))) (* (log 2) (- (log 2) (neg (log x)))) (- (log 2) (neg (log x))) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* -1/2 (* x x)) 2) x) (* (- (/ 2 (* x x)) 1/2) x) (- (/ 2 (* x x)) 1/2) (/ 2 (* x x)) (* x x))
18.0ms	x	@	inf	((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/ (+ (pow (neg (log x)) 3) (pow (log 2) 3)) (+ (* (log x) (log x)) (* (log 2) (- (log 2) (neg (log x)))))) (+ (pow (neg (log x)) 3) (pow (log 2) 3)) (pow (neg (log x)) 3) (neg (log x)) (log x) x 3 (pow (log 2) 3) (log 2) 2 (+ (* (log x) (log x)) (* (log 2) (- (log 2) (neg (log x))))) (* (log 2) (- (log 2) (neg (log x)))) (- (log 2) (neg (log x))) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* -1/2 (* x x)) 2) x) (* (- (/ 2 (* x x)) 1/2) x) (- (/ 2 (* x x)) 1/2) (/ 2 (* x x)) (* x x))

Time

Variable

Point

Expression

39.0ms

((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/ (+ (pow (neg (log x)) 3) (pow (log 2) 3)) (+ (* (log x) (log x)) (* (log 2) (- (log 2) (neg (log x)))))) (+ (pow (neg (log x)) 3) (pow (log 2) 3)) (pow (neg (log x)) 3) (neg (log x)) (log x) x 3 (pow (log 2) 3) (log 2) 2 (+ (* (log x) (log x)) (* (log 2) (- (log 2) (neg (log x))))) (* (log 2) (- (log 2) (neg (log x)))) (- (log 2) (neg (log x))) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* -1/2 (* x x)) 2) x) (* (- (/ 2 (* x x)) 1/2) x) (- (/ 2 (* x x)) 1/2) (/ 2 (* x x)) (* x x))

18.0ms

-inf

((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/ (+ (pow (neg (log x)) 3) (pow (log 2) 3)) (+ (* (log x) (log x)) (* (log 2) (- (log 2) (neg (log x)))))) (+ (pow (neg (log x)) 3) (pow (log 2) 3)) (pow (neg (log x)) 3) (neg (log x)) (log x) x 3 (pow (log 2) 3) (log 2) 2 (+ (* (log x) (log x)) (* (log 2) (- (log 2) (neg (log x))))) (* (log 2) (- (log 2) (neg (log x)))) (- (log 2) (neg (log x))) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* -1/2 (* x x)) 2) x) (* (- (/ 2 (* x x)) 1/2) x) (- (/ 2 (* x x)) 1/2) (/ 2 (* x x)) (* x x))

18.0ms

inf

((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/ (+ (pow (neg (log x)) 3) (pow (log 2) 3)) (+ (* (log x) (log x)) (* (log 2) (- (log 2) (neg (log x)))))) (+ (pow (neg (log x)) 3) (pow (log 2) 3)) (pow (neg (log x)) 3) (neg (log x)) (log x) x 3 (pow (log 2) 3) (log 2) 2 (+ (* (log x) (log x)) (* (log 2) (- (log 2) (neg (log x))))) (* (log 2) (- (log 2) (neg (log x)))) (- (log 2) (neg (log x))) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* -1/2 (* x x)) 2) x) (* (- (/ 2 (* x x)) 1/2) x) (- (/ 2 (* x x)) 1/2) (/ 2 (* x x)) (* x x))

rewrite60.0ms (3.2%)

Memory

-25.0MiB live, 120.5MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	238	1425
0	264	1213
0	1361	1187

Stop Event

1×	iter-limit
1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

70 → 127

Calls

Call 1

Inputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))))
(+.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))
(neg.f64 (log.f64 x))
(log.f64 x)
x
#s(literal 3 binary64)
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))
(*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))
(-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* -1/2 (* x x)) 2) x) (.f64 #s(approx (- (/ 2 ( x x)) 1/2) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* -1/2 (* x x)) 2) x) (.f64 #s(approx (- (/ 2 ( x x)) 1/2) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x)))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) (.f64 #s(approx (- (/ 2 ( x x)) 1/2) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x))
(.f64 #s(approx (- (/ 2 ( x x)) 1/2) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x)
#s(approx (- (/ 2 (* x x)) 1/2) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 x x)
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (* -1 (log x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))))
#s(approx (/ (+ (pow (neg (log x)) 3) (pow (log 2) 3)) (+ (* (log x) (log x)) (* (log 2) (- (log 2) (neg (log x)))))) #s(hole binary64 (/ (+ (* -1 (pow (log x) 3)) (pow (log 2) 3)) (+ (* (log 2) (+ (log 2) (log x))) (pow (log x) 2)))))
#s(approx (+ (pow (neg (log x)) 3) (pow (log 2) 3)) #s(hole binary64 (+ (* -1 (pow (log x) 3)) (pow (log 2) 3))))
#s(approx (pow (neg (log x)) 3) #s(hole binary64 (* -1 (pow (log x) 3))))
#s(approx (neg (log x)) #s(hole binary64 (* -1 (log x))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (log x) (log x)) (* (log 2) (- (log 2) (neg (log x))))) #s(hole binary64 (+ (* (log 2) (+ (log 2) (log x))) (pow (log x) 2))))
#s(approx (* (log 2) (- (log 2) (neg (log x)))) #s(hole binary64 (* (log 2) (+ (log 2) (log x)))))
#s(approx (- (log 2) (neg (log x))) #s(hole binary64 (+ (log 2) (log x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ 2 x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)))
#s(approx (- (/ 2 (* x x)) 1/2) #s(hole binary64 (/ 2 (pow x 2))))
#s(approx (- (/ 2 (* x x)) 1/2) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))))
#s(approx (/ (+ (pow (neg (log x)) 3) (pow (log 2) 3)) (+ (* (log x) (log x)) (* (log 2) (- (log 2) (neg (log x)))))) #s(hole binary64 (/ (+ (pow (log 2) 3) (pow (log (/ 1 x)) 3)) (+ (* (log 2) (+ (log 2) (* -1 (log (/ 1 x))))) (pow (log (/ 1 x)) 2)))))
#s(approx (+ (pow (neg (log x)) 3) (pow (log 2) 3)) #s(hole binary64 (+ (pow (log 2) 3) (pow (log (/ 1 x)) 3))))
#s(approx (pow (neg (log x)) 3) #s(hole binary64 (pow (log (/ 1 x)) 3)))
#s(approx (neg (log x)) #s(hole binary64 (log (/ 1 x))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (+ (* (log x) (log x)) (* (log 2) (- (log 2) (neg (log x))))) #s(hole binary64 (+ (* (log 2) (+ (log 2) (* -1 (log (/ 1 x))))) (pow (log (/ 1 x)) 2))))
#s(approx (* (log 2) (- (log 2) (neg (log x)))) #s(hole binary64 (* (log 2) (+ (log 2) (* -1 (log (/ 1 x)))))))
#s(approx (- (log 2) (neg (log x))) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (sqrt -1)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (/ 1 x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) #s(hole binary64 (* x (- (* 2 (/ 1 (pow x 2))) 1/2))))
#s(approx (- (/ 2 (* x x)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ 2 (* x x)) 1/2) #s(hole binary64 (- (* 2 (/ 1 (pow x 2))) 1/2)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (* -1 (sqrt -1)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (* -1 (sqrt -1))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) #s(hole binary64 (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))))

Outputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))) (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))) (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 x))))
(+.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 x)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 x)))))
(.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (-.f64 (.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64))))
(.f64 (fma.f64 (log.f64 x) (log.f64 x) (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64))))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))) (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (-.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (-.f64 (.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))) (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (-.f64 (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))))
(fma.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))
(fma.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))
(fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 (*.f64 (log.f64 x) (log.f64 x)) (neg.f64 (log.f64 x)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 x) (log.f64 x)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 #s(literal -1 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))
(+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))
(+.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))
(.f64 (.f64 (log.f64 x) (log.f64 x)) (neg.f64 (log.f64 x)))
(.f64 (neg.f64 (log.f64 x)) (.f64 (log.f64 x) (log.f64 x)))
(*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))
(neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 x))) #s(literal 3 binary64)))
(*.f64 (log.f64 x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (log.f64 x))
(neg.f64 (log.f64 x))
(-.f64 #s(literal 0 binary64) (log.f64 x))
(log.f64 (/.f64 #s(literal 1 binary64) x))
(log.f64 x)
x
#s(literal 3 binary64)
(*.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)))
(.f64 (log.f64 #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))))
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (-.f64 (.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (log.f64 x) (log.f64 x))) (.f64 (.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))) (.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))))) (-.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (log.f64 x) (log.f64 x)) (-.f64 (.f64 (.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))) (.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64)))) (.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64)))))))
(fma.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)) (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))))
(fma.f64 (pow.f64 (log.f64 x) #s(literal 1 binary64)) (pow.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))))
(fma.f64 (fabs.f64 (log.f64 x)) (fabs.f64 (log.f64 x)) (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))))
(fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 x)))
(fma.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)) (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))))
(fma.f64 (log.f64 x) (log.f64 x) (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))))
(fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))) (*.f64 (log.f64 x) (log.f64 x)))
(-.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (neg.f64 (log.f64 #s(literal 2 binary64))) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))
(+.f64 (.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))) (.f64 (log.f64 x) (log.f64 x)))
(+.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))))
(*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64)))
(*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))
(/.f64 (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (.f64 (log.f64 x) (log.f64 x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))))
(-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* -1/2 (* x x)) 2) x) (.f64 #s(approx (- (/ 2 ( x x)) 1/2) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* -1/2 (* x x)) 2) x) (.f64 #s(approx (- (/ 2 ( x x)) 1/2) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x)))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) (.f64 #s(approx (- (/ 2 ( x x)) 1/2) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x))
(.f64 #s(approx (- (/ 2 ( x x)) 1/2) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x)
(.f64 x #s(approx (- (/ 2 ( x x)) 1/2) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
#s(approx (- (/ 2 (* x x)) 1/2) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 x x)))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (fma.f64 (-.f64 (.f64 #s(literal -3/32 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (fma.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -5/96 binary64) (.f64 x x)) #s(literal 3/32 binary64)) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (pow (neg (log x)) 3) (pow (log 2) 3)) (+ (* (log x) (log x)) (* (log 2) (- (log 2) (neg (log x)))))) (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))) (fma.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (log.f64 #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 x)))))
#s(approx (+ (pow (neg (log x)) 3) (pow (log 2) 3)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))))
#s(approx (pow (neg (log x)) 3) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))
#s(approx (neg (log x)) (neg.f64 (log.f64 x)))
#s(approx (log x) (log.f64 x))
#s(approx x x)
#s(approx (+ (* (log x) (log x)) (* (log 2) (- (log 2) (neg (log x))))) (fma.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (log.f64 #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 x))))
#s(approx (* (log 2) (- (log 2) (neg (log x)))) (.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log 2) (neg (log x))) (log.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/16 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (/ 2 (* x x)) 1/2) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
#s(approx (- (/ 2 (* x x)) 1/2) (/.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) (.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 x x) x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) x))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (.f64 (*.f64 x x) x)))))
#s(approx (/ (+ (pow (neg (log x)) 3) (pow (log 2) 3)) (+ (* (log x) (log x)) (* (log 2) (- (log 2) (neg (log x)))))) (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))) (fma.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 x)))))
#s(approx (+ (pow (neg (log x)) 3) (pow (log 2) 3)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))))
#s(approx (pow (neg (log x)) 3) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))
#s(approx (neg (log x)) (neg.f64 (log.f64 x)))
#s(approx (log x) (neg.f64 (neg.f64 (log.f64 x))))
#s(approx (+ (* (log x) (log x)) (* (log 2) (- (log 2) (neg (log x))))) (fma.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 x))))
#s(approx (* (log 2) (- (log 2) (neg (log x)))) (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log 2) (neg (log x))) (+.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x x)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (-.f64 (+.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))))))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x))
#s(approx (- (/ 2 (* x x)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (/ 2 (* x x)) 1/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (.f64 x x)))) x)) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/40 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (.f64 x x)))) x)) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) #s(literal 1 binary64)) x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x)))

eval11.0ms (0.6%)

Memory: 31.6MiB live, 31.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 4 373 to 602 computations (86.2% saved)

prune20.0ms (1.1%)

Memory

-25.9MiB live, 20.5MiB allocated; 2ms collecting garbage

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	0	0	0
Picked	1	1	2
Done	0	6	6
Total	102	8	110

Accuracy

100.0%

Counts

110 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
✓	98.7%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))
✓	97.9%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
✓	0.0%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
✓	51.8%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* -1/2 (* x x)) 2) x) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x))))
✓	51.0%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* -1/2 (* x x)) 2) x) (.f64 #s(approx (- (/ 2 ( x x)) 1/2) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x))))
	97.7%	#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (log.f64 x) (.f64 (log.f64 #s(literal 2 binary64)) #s(approx (- (log 2) (neg (log x))) (log.f64 (.f64 #s(literal 2 binary64) x)))))))
✓	98.0%	#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64))))

Compiler

Compiled 500 to 221 computations (55.8% saved)

regimes11.0ms (0.6%)

Memory

29.6MiB live, 29.6MiB allocated; 0ms collecting garbage

Counts

11 → 1

Calls

Call 1

Inputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* -1/2 (* x x)) 2) x) (.f64 #s(approx (- (/ 2 ( x x)) 1/2) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* -1/2 (* x x)) 2) x) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (log.f64 x) (.f64 (log.f64 #s(literal 2 binary64)) #s(approx (- (log 2) (neg (log x))) (log.f64 (.f64 #s(literal 2 binary64) x)))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)) (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64)))))))

Outputs
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))

Calls

3 calls:

3.0ms

(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))

3.0ms

(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))

3.0ms

Results

Accuracy	Segments	Branch
99.6%	1	`(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))`
99.6%	1	`(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))`
99.6%	1	`x`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes8.0ms (0.4%)

Memory

-19.7MiB live, 27.0MiB allocated; 2ms collecting garbage

Counts

6 → 1

Calls

Call 1

Inputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* -1/2 (* x x)) 2) x) (.f64 #s(approx (- (/ 2 ( x x)) 1/2) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* -1/2 (* x x)) 2) x) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x))))

Outputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))

Calls

3 calls:

3.0ms

2.0ms

(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))

2.0ms

(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))

Results

Accuracy	Segments	Branch
98.7%	1	`(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))`
98.7%	1	`(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))`
98.7%	1	`x`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes6.0ms (0.3%)

Memory

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

Counts

4 → 1

Calls

Call 1

Inputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* -1/2 (* x x)) 2) x) (.f64 #s(approx (- (/ 2 ( x x)) 1/2) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64))))

Outputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64))))

Calls

3 calls:

2.0ms

(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))

2.0ms

(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))

2.0ms

Results

Accuracy	Segments	Branch
98.0%	1	`(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))`
98.0%	1	`(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))`
98.0%	1	`x`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes19.0ms (1%)

Memory

-43.1MiB live, 22.0MiB allocated; 11ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))

(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))

(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* -1/2 (* x x)) 2) x) (*.f64 #s(approx (- (/ 2 (* x x)) 1/2) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x))))

Outputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))

Calls

3 calls:

15.0ms

(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))

2.0ms

(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))

1.0ms

Results

Accuracy	Segments	Branch
97.9%	1	`(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))`
97.9%	1	`(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))`
97.9%	1	`x`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes3.0ms (0.2%)

Memory

11.6MiB live, 11.6MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))

Outputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))

Calls

3 calls:

1.0ms

(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))

1.0ms

(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))

1.0ms

Results

Accuracy	Segments	Branch
0.0%	1	`(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))`
0.0%	1	`(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))`
0.0%	1	`x`

Compiler

Compiled 26 to 18 computations (30.8% saved)

derivations14.0ms (0.8%)

Memory

-20.7MiB live, 26.6MiB allocated; 1ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 86 to 34 computations (60.5% saved)

preprocess72.0ms (3.8%)

Memory: 31.3MiB live, 124.3MiB allocated; 4ms collecting garbage
Compiler: Compiled 99 to 43 computations (56.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze3.0ms (0.1%)

sample917.0ms (48.9%)

preprocess45.0ms (2.4%)

series7.0ms (0.4%)

rewrite73.0ms (3.9%)

eval7.0ms (0.4%)

prune18.0ms (0.9%)

series105.0ms (5.6%)

rewrite95.0ms (5.1%)

eval111.0ms (5.9%)

prune4.0ms (0.2%)

series89.0ms (4.7%)

rewrite67.0ms (3.6%)

eval30.0ms (1.6%)

prune5.0ms (0.3%)

series76.0ms (4.1%)

rewrite60.0ms (3.2%)

eval11.0ms (0.6%)

prune20.0ms (1.1%)

regimes11.0ms (0.6%)

regimes8.0ms (0.4%)

regimes6.0ms (0.3%)

regimes19.0ms (1%)

regimes3.0ms (0.2%)

derivations14.0ms (0.8%)

preprocess72.0ms (3.8%)

end0.0ms (0%)

Profiling