Metrics for Hyperbolic arc-cosine

start0.0ms (0%)

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

analyze84.0ms (1.5%)

Memory

-2.0MiB live, 54.3MiB allocated; 31ms 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%	100%	0%	0%	0%	0%	3
16.7%	12.5%	62.5%	0%	0%	25%	0%	4
30%	18.7%	43.7%	0%	0%	37.5%	0%	5
38.9%	21.9%	34.4%	0%	0%	43.7%	0%	6
44.1%	23.4%	29.7%	0%	0%	46.9%	0%	7
47%	24.2%	27.3%	0%	0%	48.4%	0%	8
48.5%	24.6%	26.2%	0%	0%	49.2%	0%	9
49.2%	24.8%	25.6%	0%	0%	49.6%	0%	10
49.6%	24.9%	25.3%	0%	0%	49.8%	0%	11
49.8%	24.9%	25.1%	0%	0%	49.9%	0%	12

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample1.9s (34.9%)

Memory

48.4MiB live, 1 389.3MiB allocated; 329ms collecting garbage

Samples

970.0ms	7 995×	1	invalid
487.0ms	8 256×	0	valid
13.0ms	274×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-log: 240.0ms (23.1% of total)

ival-sqrt: 222.0ms (21.4% of total)

adjust: 212.0ms (20.4% of total)

ival-mult!: 210.0ms (20.3% of total)

ival-sub!: 84.0ms (8.1% of total)

ival-add!: 69.0ms (6.7% of total)

Bogosity

preprocess58.0ms (1%)

Memory

-17.4MiB live, 28.3MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	9
1	47	9
2	89	9
3	200	9
4	969	9

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.2%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))

Compiler

Compiled 14 to 14 computations (0% saved)

series6.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated; 0ms collecting garbage

Counts

7 → 42

Calls

Call 1

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

Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (sqrt -1)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (- (* x x) 1) #s(hole binary64 -1))
#s(approx (- (* x x) 1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* 2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 x))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (/ 1/2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))))

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

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

2.0ms

inf

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

rewrite922.0ms (16.7%)

Memory

-14.6MiB live, 400.5MiB allocated; 255ms collecting garbage

Counts

49 → 69

Calls

Call 1

Inputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
x
(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (sqrt -1)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (- (* x x) 1) #s(hole binary64 -1))
#s(approx (- (* x x) 1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* 2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 x))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (/ 1/2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))))

Outputs
(acosh.f64 x)
(log.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) x))
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) x)
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 x x) (.f64 (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)))) (.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)))))))
x
(pow.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(sinh.f64 (acosh.f64 x))
(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1 binary64)))))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 x x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (neg.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(neg.f64 #s(literal -1 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(approx (acosh x) (log.f64 #s(literal -1 binary64)))
#s(approx (acosh x) (+.f64 (/.f64 x #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))))
#s(approx (acosh x) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 x x) (.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64))) x (log.f64 #s(literal -1 binary64))))
#s(approx (acosh x) (fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) (pow.f64 #s(literal -1 binary64) #s(literal 5 binary64))) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))) (*.f64 x x) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64))) x (log.f64 #s(literal -1 binary64))))
#s(approx (+ x (sinh (acosh x))) #s(literal -1 binary64))
#s(approx (+ x (sinh (acosh x))) (+.f64 x #s(literal -1 binary64)))
#s(approx (+ x (sinh (acosh x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x #s(literal -1 binary64)))
#s(approx (+ x (sinh (acosh x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x x) (.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))) x #s(literal 1 binary64)) x #s(literal -1 binary64)))
#s(approx x x)
#s(approx (sinh (acosh x)) #s(literal -1 binary64))
#s(approx (sinh (acosh x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (sinh (acosh x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x x) (.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))) (.f64 x x) #s(literal -1 binary64)))
#s(approx (sinh (acosh x)) (fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) (pow.f64 #s(literal -1 binary64) #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))) (.f64 x x) #s(literal -1 binary64)))
#s(approx (- (* x x) 1) #s(literal -1 binary64))
#s(approx (- (* x x) 1) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (acosh x) (+.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))))
#s(approx (acosh x) (-.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
#s(approx (acosh x) (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 3/32 binary64) (.f64 x x))) (.f64 x x))) (neg.f64 (neg.f64 (log.f64 x)))) (log.f64 #s(literal 2 binary64))))
#s(approx (acosh x) (-.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 5/96 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (neg.f64 (log.f64 x)))) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (.f64 x x))))
#s(approx (+ x (sinh (acosh x))) (+.f64 x x))
#s(approx (+ x (sinh (acosh x))) (.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x))
#s(approx (+ x (sinh (acosh x))) (.f64 (+.f64 (neg.f64 (/.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 (+ x (sinh (acosh x))) (.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x))
#s(approx (sinh (acosh x)) x)
#s(approx (sinh (acosh x)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x))
#s(approx (sinh (acosh x)) (.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)))) x))
#s(approx (sinh (acosh x)) (.f64 (-.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x))
#s(approx (- (* x x) 1) (*.f64 x x))
#s(approx (- (* x x) 1) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 x x)))
#s(approx (acosh x) (log.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
#s(approx (acosh x) (+.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/4 binary64) (.f64 x x))))
#s(approx (acosh x) (+.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))))
#s(approx (acosh x) (+.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (+.f64 (fma.f64 #s(literal 5/96 binary64) (pow.f64 x (neg.f64 #s(literal 6 binary64))) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (+ x (sinh (acosh x))) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (+ x (sinh (acosh x))) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))
#s(approx (+ x (sinh (acosh x))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x x))) #s(literal 1/2 binary64)) x)))
#s(approx (+ x (sinh (acosh x))) (neg.f64 (/.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)))
#s(approx (sinh (acosh x)) (neg.f64 x))
#s(approx (sinh (acosh x)) (.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))
#s(approx (sinh (acosh x)) (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x))))))
#s(approx (sinh (acosh x)) (.f64 (neg.f64 x) (-.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))

eval9.0ms (0.2%)

Memory: 8.0MiB live, 8.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 595 to 342 computations (42.5% saved)

prune3.0ms (0.1%)

Memory

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

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	60	3	63
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	3	64

Accuracy

100.0%

Counts

64 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(log.f64 (+.f64 x #s(approx (sinh (acosh x)) x)))
▶	0.0%	(log.f64 #s(approx (+ x (sinh (acosh x))) #s(literal -1 binary64)))
▶	99.7%	(acosh.f64 x)

Compiler

Compiled 15 to 15 computations (0% saved)

series13.0ms (0.2%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Counts

8 → 48

Calls

Call 1

Inputs
(acosh.f64 x)
x
(log.f64 #s(approx (+ x (sinh (acosh x))) #s(literal -1 binary64)))
#s(approx (+ x (sinh (acosh x))) #s(literal -1 binary64))
#s(literal -1 binary64)
(log.f64 (+.f64 x #s(approx (sinh (acosh x)) x)))
(+.f64 x #s(approx (sinh (acosh x)) x))
#s(approx (sinh (acosh x)) x)

Outputs
#s(approx (acosh x) #s(hole binary64 (log (sqrt -1))))
#s(approx (acosh x) #s(hole binary64 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (acosh x) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (acosh x) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx x #s(hole binary64 x))
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (log (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (+ (log (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1))))) (* 2 (/ (* x (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))))) (- (sqrt -1) (/ 1 (sqrt -1))))))))
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (+ (log (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1))))) (* x (+ (* 1/2 (* x (+ (* -4 (/ (pow (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))) 2) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (* 2 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) (- (sqrt -1) (/ 1 (sqrt -1)))))))) (* 2 (/ (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))) (- (sqrt -1) (/ 1 (sqrt -1))))))))))
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (+ (log (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1))))) (* x (+ (* 2 (/ (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))) (- (sqrt -1) (/ 1 (sqrt -1))))) (* x (+ (* 1/6 (* x (+ (* -12 (/ (* (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (* 16 (/ (pow (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))) 3) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 3)))))) (* 1/2 (+ (* -4 (/ (pow (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))) 2) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (* 2 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) (- (sqrt -1) (/ 1 (sqrt -1))))))))))))))
#s(approx (+ x (sinh (acosh x))) #s(hole binary64 (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1))))))
#s(approx (+ x (sinh (acosh x))) #s(hole binary64 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))))))))
#s(approx (+ x (sinh (acosh x))) #s(hole binary64 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (+ 1 (+ (* 1/2 (* x (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))))))))
#s(approx (+ x (sinh (acosh x))) #s(hole binary64 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (+ 1 (+ (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) (* x (+ (* 1/2 (* (pow x 2) (- (* 1/8 (/ 1 (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))))))))))
#s(approx (sinh (acosh x)) #s(hole binary64 (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1))))))
#s(approx (sinh (acosh x)) #s(hole binary64 (+ (* 1/2 (* x (+ 1 (/ 1 (pow (sqrt -1) 2))))) (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))))))
#s(approx (sinh (acosh x)) #s(hole binary64 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (+ (* 1/2 (* x (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))))))))
#s(approx (sinh (acosh x)) #s(hole binary64 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (+ (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) (* x (+ (* 1/2 (* (pow x 2) (- (* 1/8 (/ 1 (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))))))))
#s(approx (acosh x) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (acosh x) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (acosh x) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (acosh x) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)))))
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* -1/8 (/ (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2) (pow x 2))) (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x))))))
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* -1/8 (/ (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2) (pow x 2))) (+ (* 1/6 (/ (+ (* 1/4 (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 3)) (* 3 (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))))) (pow x 3))) (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)))))))
#s(approx (+ x (sinh (acosh x))) #s(hole binary64 x))
#s(approx (+ x (sinh (acosh x))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x))))))
#s(approx (+ x (sinh (acosh x))) #s(hole binary64 (* x (+ 1 (+ (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)) (* 1/2 (/ (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 3))))))))
#s(approx (+ x (sinh (acosh x))) #s(hole binary64 (* x (+ 1 (+ (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)) (+ (* 1/2 (/ (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 3))) (* 1/2 (/ (- (* -1/16 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/8 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 5)))))))))
#s(approx (sinh (acosh x)) #s(hole binary64 (* 1/2 (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))))))
#s(approx (sinh (acosh x)) #s(hole binary64 (+ (* 1/2 (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (* 1/2 (/ (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 2))))))
#s(approx (sinh (acosh x)) #s(hole binary64 (+ (* 1/2 (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (+ (* 1/2 (/ (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 2))) (* 1/2 (/ (- (* -1/16 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/8 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 4)))))))
#s(approx (sinh (acosh x)) #s(hole binary64 (+ (* 1/2 (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (+ (* 1/2 (/ (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 2))) (+ (* 1/2 (/ (- (* -1/16 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/8 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 4))) (* 1/2 (/ (- (* -1/32 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 5/64 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 6))))))))
#s(approx (acosh x) #s(hole binary64 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (acosh x) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (acosh x) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (acosh x) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))))
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) x))))))
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* 1/8 (/ (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2) x))) x))))))
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))) (* -1/4 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 3))) x)) (* -1/8 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2))) x)) (* -1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))) x))))))
#s(approx (+ x (sinh (acosh x))) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) x)) 1)))))
#s(approx (+ x (sinh (acosh x))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2)))) x)) 1)))))
#s(approx (+ x (sinh (acosh x))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (+ (* 1/2 (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 4))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2))))) x)) 1)))))
#s(approx (sinh (acosh x)) #s(hole binary64 (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))
#s(approx (sinh (acosh x)) #s(hole binary64 (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2))))))
#s(approx (sinh (acosh x)) #s(hole binary64 (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (+ (* 1/2 (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 4))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2)))))))
#s(approx (sinh (acosh x)) #s(hole binary64 (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (+ (* 1/2 (/ (+ (* 5/64 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/32 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 4))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2))))))))

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	((acosh x) x (log (+ x (sinh (acosh x)))) (+ x (sinh (acosh x))) -1 (log (+ x (sinh (acosh x)))) (+ x (sinh (acosh x))) (sinh (acosh x)))
3.0ms	x	@	-inf	((acosh x) x (log (+ x (sinh (acosh x)))) (+ x (sinh (acosh x))) -1 (log (+ x (sinh (acosh x)))) (+ x (sinh (acosh x))) (sinh (acosh x)))
3.0ms	x	@	0	((acosh x) x (log (+ x (sinh (acosh x)))) (+ x (sinh (acosh x))) -1 (log (+ x (sinh (acosh x)))) (+ x (sinh (acosh x))) (sinh (acosh x)))

Time

Variable

Point

Expression

5.0ms

inf

((acosh x) x (log (+ x (sinh (acosh x)))) (+ x (sinh (acosh x))) -1 (log (+ x (sinh (acosh x)))) (+ x (sinh (acosh x))) (sinh (acosh x)))

3.0ms

-inf

((acosh x) x (log (+ x (sinh (acosh x)))) (+ x (sinh (acosh x))) -1 (log (+ x (sinh (acosh x)))) (+ x (sinh (acosh x))) (sinh (acosh x)))

3.0ms

((acosh x) x (log (+ x (sinh (acosh x)))) (+ x (sinh (acosh x))) -1 (log (+ x (sinh (acosh x)))) (+ x (sinh (acosh x))) (sinh (acosh x)))

rewrite1.5s (26.5%)

Memory

-26.3MiB live, 395.6MiB allocated; 93ms collecting garbage

Counts

56 → 60

Calls

Call 1

Inputs
(acosh.f64 x)
x
(log.f64 #s(approx (+ x (sinh (acosh x))) #s(literal -1 binary64)))
#s(approx (+ x (sinh (acosh x))) #s(literal -1 binary64))
#s(literal -1 binary64)
(log.f64 (+.f64 x #s(approx (sinh (acosh x)) x)))
(+.f64 x #s(approx (sinh (acosh x)) x))
#s(approx (sinh (acosh x)) x)
#s(approx (acosh x) #s(hole binary64 (log (sqrt -1))))
#s(approx (acosh x) #s(hole binary64 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (acosh x) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (acosh x) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx x #s(hole binary64 x))
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (log (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (+ (log (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1))))) (* 2 (/ (* x (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))))) (- (sqrt -1) (/ 1 (sqrt -1))))))))
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (+ (log (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1))))) (* x (+ (* 1/2 (* x (+ (* -4 (/ (pow (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))) 2) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (* 2 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) (- (sqrt -1) (/ 1 (sqrt -1)))))))) (* 2 (/ (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))) (- (sqrt -1) (/ 1 (sqrt -1))))))))))
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (+ (log (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1))))) (* x (+ (* 2 (/ (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))) (- (sqrt -1) (/ 1 (sqrt -1))))) (* x (+ (* 1/6 (* x (+ (* -12 (/ (* (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (* 16 (/ (pow (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))) 3) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 3)))))) (* 1/2 (+ (* -4 (/ (pow (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))) 2) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (* 2 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) (- (sqrt -1) (/ 1 (sqrt -1))))))))))))))
#s(approx (+ x (sinh (acosh x))) #s(hole binary64 (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1))))))
#s(approx (+ x (sinh (acosh x))) #s(hole binary64 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))))))))
#s(approx (+ x (sinh (acosh x))) #s(hole binary64 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (+ 1 (+ (* 1/2 (* x (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))))))))
#s(approx (+ x (sinh (acosh x))) #s(hole binary64 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (+ 1 (+ (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) (* x (+ (* 1/2 (* (pow x 2) (- (* 1/8 (/ 1 (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))))))))))
#s(approx (sinh (acosh x)) #s(hole binary64 (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1))))))
#s(approx (sinh (acosh x)) #s(hole binary64 (+ (* 1/2 (* x (+ 1 (/ 1 (pow (sqrt -1) 2))))) (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))))))
#s(approx (sinh (acosh x)) #s(hole binary64 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (+ (* 1/2 (* x (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))))))))
#s(approx (sinh (acosh x)) #s(hole binary64 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (+ (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) (* x (+ (* 1/2 (* (pow x 2) (- (* 1/8 (/ 1 (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))))))))
#s(approx (acosh x) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (acosh x) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (acosh x) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (acosh x) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)))))
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* -1/8 (/ (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2) (pow x 2))) (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x))))))
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* -1/8 (/ (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2) (pow x 2))) (+ (* 1/6 (/ (+ (* 1/4 (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 3)) (* 3 (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))))) (pow x 3))) (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)))))))
#s(approx (+ x (sinh (acosh x))) #s(hole binary64 x))
#s(approx (+ x (sinh (acosh x))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x))))))
#s(approx (+ x (sinh (acosh x))) #s(hole binary64 (* x (+ 1 (+ (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)) (* 1/2 (/ (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 3))))))))
#s(approx (+ x (sinh (acosh x))) #s(hole binary64 (* x (+ 1 (+ (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)) (+ (* 1/2 (/ (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 3))) (* 1/2 (/ (- (* -1/16 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/8 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 5)))))))))
#s(approx (sinh (acosh x)) #s(hole binary64 (* 1/2 (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))))))
#s(approx (sinh (acosh x)) #s(hole binary64 (+ (* 1/2 (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (* 1/2 (/ (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 2))))))
#s(approx (sinh (acosh x)) #s(hole binary64 (+ (* 1/2 (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (+ (* 1/2 (/ (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 2))) (* 1/2 (/ (- (* -1/16 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/8 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 4)))))))
#s(approx (sinh (acosh x)) #s(hole binary64 (+ (* 1/2 (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (+ (* 1/2 (/ (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 2))) (+ (* 1/2 (/ (- (* -1/16 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/8 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 4))) (* 1/2 (/ (- (* -1/32 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 5/64 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 6))))))))
#s(approx (acosh x) #s(hole binary64 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (acosh x) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (acosh x) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (acosh x) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))))
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) x))))))
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* 1/8 (/ (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2) x))) x))))))
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))) (* -1/4 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 3))) x)) (* -1/8 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2))) x)) (* -1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))) x))))))
#s(approx (+ x (sinh (acosh x))) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) x)) 1)))))
#s(approx (+ x (sinh (acosh x))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2)))) x)) 1)))))
#s(approx (+ x (sinh (acosh x))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (+ (* 1/2 (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 4))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2))))) x)) 1)))))
#s(approx (sinh (acosh x)) #s(hole binary64 (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))
#s(approx (sinh (acosh x)) #s(hole binary64 (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2))))))
#s(approx (sinh (acosh x)) #s(hole binary64 (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (+ (* 1/2 (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 4))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2)))))))
#s(approx (sinh (acosh x)) #s(hole binary64 (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (+ (* 1/2 (/ (+ (* 5/64 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/32 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 4))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2))))))))

Outputs
(acosh.f64 x)
(log.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) x))
x
(log.f64 #s(approx (+ x (sinh (acosh x))) #s(literal -1 binary64)))
#s(approx (+ x (sinh (acosh x))) #s(literal -1 binary64))
#s(literal -1 binary64)
(neg.f64 #s(literal 1 binary64))
(pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal -1 binary64))
(log.f64 (+.f64 x #s(approx (sinh (acosh x)) x)))
(+.f64 x #s(approx (sinh (acosh x)) x))
#s(approx (sinh (acosh x)) x)
#s(approx (acosh x) (log.f64 #s(literal -1 binary64)))
#s(approx (acosh x) (+.f64 (/.f64 x #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))))
#s(approx (acosh x) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 x x) (.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64))) x (log.f64 #s(literal -1 binary64))))
#s(approx (acosh x) (fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) (pow.f64 #s(literal -1 binary64) #s(literal 5 binary64))) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))) (*.f64 x x) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64))) x (log.f64 #s(literal -1 binary64))))
#s(approx x x)
#s(approx (acosh x) (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64))))))
#s(approx (acosh x) (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) x) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64)))))))
#s(approx (acosh x) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64)))) (/.f64 (.f64 #s(literal -4 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64)))))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64))))) x (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64)))))))
#s(approx (acosh x) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64)))) #s(literal 3 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64)))))) #s(literal -12 binary64))) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64)))) (/.f64 (.f64 #s(literal -4 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64)))))))) x (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64))))) x (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64)))))))
#s(approx (+ x (sinh (acosh x))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64)))))
#s(approx (+ x (sinh (acosh x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64))))))
#s(approx (+ x (sinh (acosh x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))) x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) #s(literal -1 binary64))))) #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64))))))
#s(approx (+ x (sinh (acosh x))) (fma.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 #s(literal -1 binary64) #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))) (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))))) x)) x (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64))))))
#s(approx (sinh (acosh x)) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64)))))
#s(approx (sinh (acosh x)) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) #s(literal -1 binary64)))) x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64))))))
#s(approx (sinh (acosh x)) (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))) x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) #s(literal -1 binary64)))))) x (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64))))))
#s(approx (sinh (acosh x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 #s(literal -1 binary64) #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))) (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))))) x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) #s(literal -1 binary64)))))) x (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64))))))
#s(approx (acosh x) (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x)))))
#s(approx (acosh x) (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
#s(approx (acosh x) (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 3/32 binary64) (.f64 x x))) (.f64 x x))) (neg.f64 (neg.f64 (log.f64 x)))) (log.f64 #s(literal 2 binary64))))
#s(approx (acosh x) (-.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 5/96 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (neg.f64 (log.f64 x)))) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (.f64 x x))))
#s(approx (acosh x) (neg.f64 (neg.f64 (log.f64 x))))
#s(approx (acosh x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))))) x) (neg.f64 (neg.f64 (log.f64 x)))))
#s(approx (acosh x) (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))))) x) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))))) #s(literal 2 binary64))) (.f64 x x))) (neg.f64 (neg.f64 (log.f64 x)))))
#s(approx (acosh x) (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))))) #s(literal 2 binary64)) (.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))))) x) (/.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 3 binary64) (fma.f64 #s(literal -1/4 binary64) (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))) (.f64 #s(literal -1/4 binary64) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x)))))))) (.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))))) #s(literal 3 binary64))))) (.f64 (.f64 x x) x)))) (neg.f64 (neg.f64 (log.f64 x)))))
#s(approx (+ x (sinh (acosh x))) x)
#s(approx (+ x (sinh (acosh x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))))) x) #s(literal 1 binary64)) x))
#s(approx (+ x (sinh (acosh x))) (.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))))) x) (/.f64 (fma.f64 #s(literal -1/4 binary64) (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))) (.f64 #s(literal -1/4 binary64) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x)))))))) (.f64 (.f64 x x) x))) #s(literal 1 binary64)) x))
#s(approx (+ x (sinh (acosh x))) (.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))))) x) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))) (.f64 #s(literal -1/4 binary64) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x)))))))) (.f64 (.f64 x x) x)) (/.f64 (fma.f64 #s(literal -1/16 binary64) (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))) (.f64 #s(literal -1/8 binary64) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x)))))))) (pow.f64 x #s(literal 5 binary64)))))) x))
#s(approx (sinh (acosh x)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x)))))))))
#s(approx (sinh (acosh x)) (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))) (.f64 #s(literal -1/4 binary64) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x)))))))) (*.f64 x x)))))
#s(approx (sinh (acosh x)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))) (.f64 #s(literal -1/4 binary64) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x)))))))) (.f64 x x)) (/.f64 (fma.f64 #s(literal -1/16 binary64) (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))) (.f64 #s(literal -1/8 binary64) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x)))))))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))))))))
#s(approx (sinh (acosh x)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))) (.f64 #s(literal -1/4 binary64) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x)))))))) (.f64 x x))) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))) (.f64 #s(literal -1/8 binary64) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x)))))))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (-.f64 (*.f64 #s(literal -1/32 binary64) (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x)))))) (/.f64 #s(literal 5/64 binary64) (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))))) (pow.f64 x #s(literal 6 binary64)))))))
#s(approx (acosh x) (log.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
#s(approx (acosh x) (+.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/4 binary64) (.f64 x x))))
#s(approx (acosh x) (+.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (acosh x) (+.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (+.f64 (fma.f64 #s(literal 5/96 binary64) (pow.f64 x (neg.f64 #s(literal 6 binary64))) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (acosh x) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (acosh x) (+.f64 (log.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) x) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))))
#s(approx (acosh x) (+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 (exp.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)) x) (.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))))) x))))
#s(approx (acosh x) (+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal -3 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 (exp.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) (.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 (exp.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) #s(literal 3 binary64)))) x) (.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 (exp.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))) x))) x))))
#s(approx (+ x (sinh (acosh x))) (neg.f64 (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (exp.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) x)) #s(literal 1 binary64)) x)))
#s(approx (+ x (sinh (acosh x))) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (exp.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (exp.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) (.f64 x x)))) x)) #s(literal 1 binary64)) x)))
#s(approx (+ x (sinh (acosh x))) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (exp.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1/16 binary64) (exp.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (exp.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) (.f64 x x))) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))))) x)) #s(literal 1 binary64)) x)))
#s(approx (sinh (acosh x)) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))))
#s(approx (sinh (acosh x)) (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (exp.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (exp.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) (*.f64 x x)))))
#s(approx (sinh (acosh x)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (exp.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1/16 binary64) (exp.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (exp.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) (.f64 x x))) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))))))
#s(approx (sinh (acosh x)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (exp.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1/16 binary64) (exp.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (exp.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) (.f64 x x))) (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 5/64 binary64) (exp.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1/32 binary64) (exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) (pow.f64 x #s(literal 6 binary64))))))

eval13.0ms (0.2%)

Memory: 12.2MiB live, 12.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 261 to 347 computations (72.5% saved)

prune3.0ms (0.1%)

Memory

2.9MiB live, 2.9MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	52	1	53
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	53	3	56

Accuracy

100.0%

Counts

56 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	(log.f64 (+.f64 x #s(approx (sinh (acosh x)) x)))
▶	31.2%	(log.f64 #s(approx (+ x (sinh (acosh x))) x))
✓	99.7%	(acosh.f64 x)

Compiler

Compiled 14 to 14 computations (0% saved)

series29.0ms (0.5%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Counts

3 → 24

Calls

Call 1

Inputs
(log.f64 #s(approx (+ x (sinh (acosh x))) x))
#s(approx (+ x (sinh (acosh x))) x)
x

Outputs
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (log (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (+ (log (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1))))) (* 2 (/ (* x (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))))) (- (sqrt -1) (/ 1 (sqrt -1))))))))
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (+ (log (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1))))) (* x (+ (* 1/2 (* x (+ (* -4 (/ (pow (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))) 2) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (* 2 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) (- (sqrt -1) (/ 1 (sqrt -1)))))))) (* 2 (/ (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))) (- (sqrt -1) (/ 1 (sqrt -1))))))))))
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (+ (log (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1))))) (* x (+ (* 2 (/ (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))) (- (sqrt -1) (/ 1 (sqrt -1))))) (* x (+ (* 1/6 (* x (+ (* -12 (/ (* (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (* 16 (/ (pow (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))) 3) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 3)))))) (* 1/2 (+ (* -4 (/ (pow (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))) 2) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (* 2 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) (- (sqrt -1) (/ 1 (sqrt -1))))))))))))))
#s(approx (+ x (sinh (acosh x))) #s(hole binary64 (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1))))))
#s(approx (+ x (sinh (acosh x))) #s(hole binary64 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))))))))
#s(approx (+ x (sinh (acosh x))) #s(hole binary64 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (+ 1 (+ (* 1/2 (* x (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))))))))
#s(approx (+ x (sinh (acosh x))) #s(hole binary64 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (+ 1 (+ (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) (* x (+ (* 1/2 (* (pow x 2) (- (* 1/8 (/ 1 (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)))))
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* -1/8 (/ (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2) (pow x 2))) (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x))))))
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* -1/8 (/ (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2) (pow x 2))) (+ (* 1/6 (/ (+ (* 1/4 (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 3)) (* 3 (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))))) (pow x 3))) (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)))))))
#s(approx (+ x (sinh (acosh x))) #s(hole binary64 x))
#s(approx (+ x (sinh (acosh x))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x))))))
#s(approx (+ x (sinh (acosh x))) #s(hole binary64 (* x (+ 1 (+ (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)) (* 1/2 (/ (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 3))))))))
#s(approx (+ x (sinh (acosh x))) #s(hole binary64 (* x (+ 1 (+ (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)) (+ (* 1/2 (/ (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 3))) (* 1/2 (/ (- (* -1/16 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/8 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 5)))))))))
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) x))))))
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* 1/8 (/ (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2) x))) x))))))
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))) (* -1/4 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 3))) x)) (* -1/8 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2))) x)) (* -1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))) x))))))
#s(approx (+ x (sinh (acosh x))) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) x)) 1)))))
#s(approx (+ x (sinh (acosh x))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2)))) x)) 1)))))
#s(approx (+ x (sinh (acosh x))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (+ (* 1/2 (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 4))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2))))) x)) 1)))))

Calls

3 calls:

Time	Variable		Point	Expression
25.0ms	x	@	inf	((log (+ x (sinh (acosh x)))) (+ x (sinh (acosh x))) x)
1.0ms	x	@	-inf	((log (+ x (sinh (acosh x)))) (+ x (sinh (acosh x))) x)
1.0ms	x	@	0	((log (+ x (sinh (acosh x)))) (+ x (sinh (acosh x))) x)

rewrite937.0ms (17%)

Memory

12.5MiB live, 109.5MiB allocated; 15ms collecting garbage

Counts

27 → 27

Calls

Call 1

Inputs
(log.f64 #s(approx (+ x (sinh (acosh x))) x))
#s(approx (+ x (sinh (acosh x))) x)
x
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (log (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (+ (log (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1))))) (* 2 (/ (* x (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))))) (- (sqrt -1) (/ 1 (sqrt -1))))))))
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (+ (log (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1))))) (* x (+ (* 1/2 (* x (+ (* -4 (/ (pow (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))) 2) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (* 2 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) (- (sqrt -1) (/ 1 (sqrt -1)))))))) (* 2 (/ (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))) (- (sqrt -1) (/ 1 (sqrt -1))))))))))
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (+ (log (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1))))) (* x (+ (* 2 (/ (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))) (- (sqrt -1) (/ 1 (sqrt -1))))) (* x (+ (* 1/6 (* x (+ (* -12 (/ (* (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (* 16 (/ (pow (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))) 3) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 3)))))) (* 1/2 (+ (* -4 (/ (pow (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))) 2) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (* 2 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) (- (sqrt -1) (/ 1 (sqrt -1))))))))))))))
#s(approx (+ x (sinh (acosh x))) #s(hole binary64 (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1))))))
#s(approx (+ x (sinh (acosh x))) #s(hole binary64 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (+ 1 (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))))))))
#s(approx (+ x (sinh (acosh x))) #s(hole binary64 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (+ 1 (+ (* 1/2 (* x (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))))))))
#s(approx (+ x (sinh (acosh x))) #s(hole binary64 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (+ 1 (+ (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) (* x (+ (* 1/2 (* (pow x 2) (- (* 1/8 (/ 1 (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)))))
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* -1/8 (/ (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2) (pow x 2))) (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x))))))
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* -1/8 (/ (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2) (pow x 2))) (+ (* 1/6 (/ (+ (* 1/4 (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 3)) (* 3 (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))))) (pow x 3))) (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)))))))
#s(approx (+ x (sinh (acosh x))) #s(hole binary64 x))
#s(approx (+ x (sinh (acosh x))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x))))))
#s(approx (+ x (sinh (acosh x))) #s(hole binary64 (* x (+ 1 (+ (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)) (* 1/2 (/ (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 3))))))))
#s(approx (+ x (sinh (acosh x))) #s(hole binary64 (* x (+ 1 (+ (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)) (+ (* 1/2 (/ (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 3))) (* 1/2 (/ (- (* -1/16 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/8 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 5)))))))))
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) x))))))
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* 1/8 (/ (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2) x))) x))))))
#s(approx (log (+ x (sinh (acosh x)))) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))) (* -1/4 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 3))) x)) (* -1/8 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2))) x)) (* -1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))) x))))))
#s(approx (+ x (sinh (acosh x))) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) x)) 1)))))
#s(approx (+ x (sinh (acosh x))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2)))) x)) 1)))))
#s(approx (+ x (sinh (acosh x))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (+ (* 1/2 (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 4))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2))))) x)) 1)))))

Outputs
(log.f64 #s(approx (+ x (sinh (acosh x))) x))
#s(approx (+ x (sinh (acosh x))) x)
x
#s(approx (acosh x) (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64))))))
#s(approx (acosh x) (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) x) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64)))))))
#s(approx (acosh x) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64)))) (/.f64 (.f64 #s(literal -4 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64)))))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64))))) x (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64)))))))
#s(approx (acosh x) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64)))) #s(literal 3 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64)))))) #s(literal -12 binary64))) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64)))) (/.f64 (.f64 #s(literal -4 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64)))))))) x (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64))))) x (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64)))))))
#s(approx (+ x (sinh (acosh x))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64)))))
#s(approx (+ x (sinh (acosh x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64))))))
#s(approx (+ x (sinh (acosh x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))) x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) #s(literal -1 binary64))))) #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64))))))
#s(approx (+ x (sinh (acosh x))) (fma.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 #s(literal -1 binary64) #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))) (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))))) x)) x (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(literal -1 binary64))))))
#s(approx x x)
#s(approx (acosh x) (neg.f64 (neg.f64 (log.f64 x))))
#s(approx (acosh x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))))) x) (neg.f64 (neg.f64 (log.f64 x)))))
#s(approx (acosh x) (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))))) x) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))))) #s(literal 2 binary64))) (.f64 x x))) (neg.f64 (neg.f64 (log.f64 x)))))
#s(approx (acosh x) (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))))) #s(literal 2 binary64)) (.f64 x x)) (fma.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (fma.f64 #s(literal -1/4 binary64) (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))) (.f64 #s(literal -1/4 binary64) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x)))))))) (.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))))) #s(literal 3 binary64)))) (.f64 (.f64 x x) x)) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))))) x)))) (neg.f64 (neg.f64 (log.f64 x)))))
#s(approx (+ x (sinh (acosh x))) x)
#s(approx (+ x (sinh (acosh x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))))) x) #s(literal 1 binary64)) x))
#s(approx (+ x (sinh (acosh x))) (.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))))) x) (/.f64 (fma.f64 #s(literal -1/4 binary64) (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))) (.f64 #s(literal -1/4 binary64) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x)))))))) (.f64 (.f64 x x) x))) #s(literal 1 binary64)) x))
#s(approx (+ x (sinh (acosh x))) (.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))))) x) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))) (.f64 #s(literal -1/4 binary64) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x)))))))) (.f64 (.f64 x x) x)) (/.f64 (fma.f64 #s(literal -1/16 binary64) (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))) (.f64 #s(literal -1/8 binary64) (exp.f64 (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x)))))))) (pow.f64 x #s(literal 5 binary64)))))) x))
#s(approx (acosh x) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (acosh x) (+.f64 (log.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) x) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))))
#s(approx (acosh x) (+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 (exp.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)) x) (.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))))) x))))
#s(approx (acosh x) (+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 (exp.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) (.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 (exp.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) #s(literal 3 binary64)))) x) #s(literal -1/6 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 (exp.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))) x))) x))))
#s(approx (+ x (sinh (acosh x))) (neg.f64 (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (exp.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) x)) #s(literal 1 binary64)) x)))
#s(approx (+ x (sinh (acosh x))) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (exp.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (exp.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) (.f64 x x)))) x)) #s(literal 1 binary64)) x)))
#s(approx (+ x (sinh (acosh x))) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (exp.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1/16 binary64) (exp.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (exp.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) (.f64 x x))) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))))) x)) #s(literal 1 binary64)) x)))

eval8.0ms (0.1%)

Memory: 2.9MiB live, 2.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 710 to 211 computations (70.3% saved)

prune4.0ms (0.1%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	23	3	26

Accuracy

100.0%

Counts

26 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	(log.f64 (+.f64 x #s(approx (sinh (acosh x)) x)))
✓	31.2%	(log.f64 #s(approx (+ x (sinh (acosh x))) x))
✓	99.7%	(acosh.f64 x)

Compiler

Compiled 38 to 33 computations (13.2% saved)

regimes14.0ms (0.3%)

Memory

5.6MiB live, 5.6MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

Outputs
(acosh.f64 x)

Calls

3 calls:

5.0ms	x
4.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
4.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
99.7%	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))`
99.7%	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))`
99.7%	1	`x`

Compiler

Compiled 14 to 14 computations (0% saved)

regimes9.0ms (0.2%)

Memory

4.6MiB live, 4.6MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs
(log.f64 #s(approx (+ x (sinh (acosh x))) #s(literal -1 binary64)))
(log.f64 #s(approx (+ x (sinh (acosh x))) x))

Outputs
(log.f64 #s(approx (+ x (sinh (acosh x))) x))

Calls

3 calls:

3.0ms	x
3.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
3.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
31.2%	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))`
31.2%	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))`
31.2%	1	`x`

Compiler

Compiled 14 to 14 computations (0% saved)

regimes5.0ms (0.1%)

Memory

-42.7MiB live, 4.3MiB allocated; 1ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(log.f64 #s(approx (+ x (sinh (acosh x))) #s(literal -1 binary64)))

Outputs
(log.f64 #s(approx (+ x (sinh (acosh x))) #s(literal -1 binary64)))

Calls

3 calls:

2.0ms	x
1.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
1.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))

Results

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

Compiler

Compiled 14 to 14 computations (0% saved)

derivations0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 13 to 10 computations (23.1% saved)

preprocess19.0ms (0.3%)

Memory: 18.1MiB live, 18.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 20 to 17 computations (15% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze84.0ms (1.5%)

sample1.9s (34.9%)

preprocess58.0ms (1%)

series6.0ms (0.1%)

rewrite922.0ms (16.7%)

eval9.0ms (0.2%)

prune3.0ms (0.1%)

series13.0ms (0.2%)

rewrite1.5s (26.5%)

eval13.0ms (0.2%)

prune3.0ms (0.1%)

series29.0ms (0.5%)

rewrite937.0ms (17%)

eval8.0ms (0.1%)

prune4.0ms (0.1%)

regimes14.0ms (0.3%)

regimes9.0ms (0.2%)

regimes5.0ms (0.1%)

derivations0.0ms (0%)

preprocess19.0ms (0.3%)

end0.0ms (0%)

Profiling