Metrics for Hyperbolic arc-cosine

start0.0ms (0%)

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

analyze70.0ms (2.2%)

Memory

34.0MiB live, 126.5MiB allocated; 17ms 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)

sample2.3s (72.7%)

Memory

36.1MiB live, 3 776.0MiB allocated; 728ms collecting garbage

Samples

1.1s	8 152×	1	invalid
644.0ms	8 256×	0	valid
17.0ms	370×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-sqrt: 339.0ms (28.6% of total)

adjust: 240.0ms (20.3% of total)

ival-log: 236.0ms (19.9% of total)

ival-mult!: 208.0ms (17.6% of total)

ival-add!: 99.0ms (8.4% of total)

ival-sub!: 62.0ms (5.2% of total)

Bogosity

preprocess56.0ms (1.7%)

Memory

-26.1MiB live, 69.9MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	9
1	59	9
2	138	9
3	370	9
4	2316	9

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.6%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))

Compiler

Compiled 18 to 14 computations (22.2% saved)

series19.0ms (0.6%)

Memory

3.0MiB live, 49.1MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	193	926

Stop Event

1×	iter-limit

Counts

7 → 39

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)))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (sqrt.f64 #s(literal -1 binary64)))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 x (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))))
#s(approx x x)
#s(approx (sqrt (- (* x x) 1)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (sqrt (- (* x x) 1)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
#s(approx (sqrt (- (* x x) 1)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
#s(approx (- (* x x) 1) #s(literal -1 binary64))
#s(approx (- (* x x) 1) (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3/32 binary64) (.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f64 x (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f64 x (-.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (- (* x x) 1)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (- (* x x) 1)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (- (* x x) 1)) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (* x x) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 5/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 5/32 binary64) (.f64 #s(literal 11/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)))
#s(approx (sqrt (- (* x x) 1)) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (- (* x x) 1)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (- (* x x) 1)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (- (* x x) 1)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))

Calls

3 calls:

Time	Variable	Point
2.0ms	x	0
2.0ms	x	inf
2.0ms	x	-inf

rewrite195.0ms (6.1%)

Memory

-16.9MiB live, 295.4MiB allocated; 77ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	33
0	12	26
1	76	26
2	244	26
3	840	26
4	3552	26
0	4792	23

Stop Event

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

Counts

7 → 555

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
(acosh.f64 x)
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
#s(approx (+ (sqrt (- (pow x 2) 1)) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
#s(approx (+ (sqrt (- (pow x 2) 1)) x) (/.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 x))))
#s(approx (+ (sqrt (- (pow x 2) 1)) x) (/.f64 (-.f64 (pow.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (.f64 x x) (.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 x))))))
#s(approx (+ (sqrt (- (pow x 2) 1)) x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
#s(approx (+ (sqrt (- (pow x 2) 1)) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) x)) x))
#s(approx (+ (sqrt (- (pow x 2) 1)) x) (/.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)))
#s(approx (+ (sqrt (- (pow x 2) 1)) x) (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
#s(approx (+ (sqrt (- (pow x 2) 1)) x) (/.f64 (+.f64 (pow.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (.f64 x x) (.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)))))
#s(approx (+ (sqrt (- (pow x 2) 1)) x) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))))
#s(approx (+ (sqrt (- (pow x 2) 1)) x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)) x))
#s(approx (+ (sqrt (- (pow x 2) 1)) x) (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
#s(approx (+ (sqrt (- (pow x 2) 1)) x) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))))
(neg.f64 (-.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 x))
(-.f64 x (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)
(+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
x
(pow.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64))
#s(approx (sqrt (- (pow x 2) 1)) (.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal 1/4 binary64))))
#s(approx (sqrt (- (pow x 2) 1)) (.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1/4 binary64))))
#s(approx (sqrt (- (pow x 2) 1)) (.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 1/4 binary64))))
#s(approx (sqrt (- (pow x 2) 1)) (.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))))
#s(approx (sqrt (- (pow x 2) 1)) (.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64))))
#s(approx (sqrt (- (pow x 2) 1)) (.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1/4 binary64))))
#s(approx (sqrt (- (pow x 2) 1)) (.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))))
#s(approx (sqrt (- (pow x 2) 1)) (.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/4 binary64))))
#s(approx (sqrt (- (pow x 2) 1)) (.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))))
#s(approx (sqrt (- (pow x 2) 1)) (.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (-.f64 #s(literal -1 binary64) (fabs.f64 x))) #s(literal 1/4 binary64))))
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(*.f64 (fabs.f64 (-.f64 x #s(literal 1 binary64))) (fabs.f64 (-.f64 x #s(literal -1 binary64))))
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#s(approx (- (pow x 2) 1) (.f64 (pow.f64 (-.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/2 binary64))))
#s(approx (- (pow x 2) 1) (.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/2 binary64))))
#s(approx (- (pow x 2) 1) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/2 binary64))))
#s(approx (- (pow x 2) 1) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (- (pow x 2) 1) (.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/2 binary64))))
#s(approx (- (pow x 2) 1) (.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/2 binary64))))
#s(approx (- (pow x 2) 1) (.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/2 binary64))))
#s(approx (- (pow x 2) 1) (.f64 (pow.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/2 binary64))))
#s(approx (- (pow x 2) 1) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (- (pow x 2) 1) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
#s(approx (- (pow x 2) 1) (*.f64 (pow.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1 binary64)) (pow.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x))) #s(literal 1 binary64))))
#s(approx (- (pow x 2) 1) (*.f64 (pow.f64 (fabs.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (fabs.f64 (-.f64 (fabs.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64))))
#s(approx (- (pow x 2) 1) (*.f64 (pow.f64 (fabs.f64 (-.f64 (fabs.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (fabs.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))))
#s(approx (- (pow x 2) 1) (*.f64 (pow.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) (pow.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
#s(approx (- (pow x 2) 1) (*.f64 (pow.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (pow.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))))
#s(approx (- (pow x 2) 1) (*.f64 (pow.f64 (fabs.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (fabs.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
#s(approx (- (pow x 2) 1) (*.f64 (pow.f64 (fabs.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (fabs.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))
#s(approx (- (pow x 2) 1) (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 1 binary64))))
#s(approx (- (pow x 2) 1) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (- (pow x 2) 1) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal -1 binary64))))))
#s(approx (- (pow x 2) 1) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
#s(approx (- (pow x 2) 1) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (.f64 (-.f64 x #s(literal -1 binary64)) x))) (*.f64 (-.f64 x #s(literal -1 binary64)) x)))
#s(approx (- (pow x 2) 1) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (pow x 2) 1) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))) #s(literal -1 binary64)))
#s(approx (- (pow x 2) 1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))))
#s(approx (- (pow x 2) 1) (.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))))
#s(approx (- (pow x 2) 1) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))))
#s(approx (- (pow x 2) 1) (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))
#s(approx (- (pow x 2) 1) (/.f64 (-.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) x) (.f64 (-.f64 x #s(literal -1 binary64)) x)) (.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x) (-.f64 #s(literal -1 binary64) x))))
#s(approx (- (pow x 2) 1) (/.f64 (-.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (-.f64 x #s(literal 1 binary64)) x))) (-.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))))
#s(approx (- (pow x 2) 1) (/.f64 (-.f64 (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (-.f64 x #s(literal 1 binary64)) x)) (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (-.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))))
#s(approx (- (pow x 2) 1) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (.f64 (.f64 (.f64 x x) x) x)) (+.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))))
#s(approx (- (pow x 2) 1) (/.f64 (-.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 x x #s(literal -1 binary64))))
#s(approx (- (pow x 2) 1) (/.f64 (+.f64 (pow.f64 (.f64 (-.f64 x #s(literal -1 binary64)) x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (-.f64 x #s(literal -1 binary64)) x) (.f64 (-.f64 x #s(literal -1 binary64)) x) (-.f64 (.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) x) (-.f64 #s(literal -1 binary64) x))))))
#s(approx (- (pow x 2) 1) (/.f64 (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 3 binary64))) (fma.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (-.f64 x #s(literal 1 binary64)) x)) (.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) x))))))
#s(approx (- (pow x 2) 1) (/.f64 (+.f64 (pow.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))))))
#s(approx (- (pow x 2) 1) (/.f64 (-.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (+.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))))))
#s(approx (- (pow x 2) 1) (/.f64 (-.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)) (fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64))))))
#s(approx (- (pow x 2) 1) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
#s(approx (- (pow x 2) 1) (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal -1 binary64))))
#s(approx (- (pow x 2) 1) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal -2 binary64))))
#s(approx (- (pow x 2) 1) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
#s(approx (- (pow x 2) 1) (exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1/2 binary64))))
#s(approx (- (pow x 2) 1) (exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64))))
#s(approx (- (pow x 2) 1) (exp.f64 (*.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))))
#s(approx (- (pow x 2) 1) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 0 binary64))))
#s(approx (- (pow x 2) 1) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64))))
#s(approx (- (pow x 2) 1) (/.f64 (pow.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))))
#s(approx (- (pow x 2) 1) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64))))
#s(approx (- (pow x 2) 1) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal 1 binary64))))
#s(approx (- (pow x 2) 1) (*.f64 (pow.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (- (pow x 2) 1) (*.f64 (pow.f64 (-.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (- (pow x 2) 1) (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
#s(approx (- (pow x 2) 1) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
#s(approx (- (pow x 2) 1) (*.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1 binary64))))
#s(approx (- (pow x 2) 1) (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (- (pow x 2) 1) (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (- (pow x 2) 1) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))))
#s(approx (- (pow x 2) 1) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)))
#s(approx (- (pow x 2) 1) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 #s(literal -1 binary64) (*.f64 x x))))
#s(approx (- (pow x 2) 1) (/.f64 (+.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 x x) #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 #s(literal -1 binary64) (.f64 x x))))))
#s(approx (- (pow x 2) 1) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) (*.f64 x x)))
#s(approx (- (pow x 2) 1) (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (-.f64 (*.f64 x x) #s(literal -1 binary64))))
#s(approx (- (pow x 2) 1) (/.f64 (+.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 (.f64 x x) (.f64 x x) (-.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (.f64 (.f64 x x) #s(literal -1 binary64))))))
#s(approx (- (pow x 2) 1) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 x x)))
#s(approx (- (pow x 2) 1) (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (+.f64 (*.f64 x x) #s(literal 1 binary64))))
#s(approx (- (pow x 2) 1) (/.f64 (-.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 (.f64 x x) (.f64 x x) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1 binary64))))))
#s(approx (- (pow x 2) 1) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 (fabs.f64 x) #s(literal -1 binary64)) (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 (-.f64 #s(literal -1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (*.f64 (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) x))) #s(literal 4 binary64))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -2 binary64))
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(+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(+.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)))
(+.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 (fabs.f64 x) #s(literal 1 binary64))))
(+.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x)))
(+.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 0 binary64)))
(+.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)))
(+.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
#s(approx (pow x 2) (.f64 (pow.f64 (.f64 (*.f64 x x) (neg.f64 (fabs.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64))))
#s(approx (pow x 2) (.f64 (pow.f64 (.f64 (*.f64 x x) (fabs.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64))))
#s(approx (pow x 2) (.f64 (pow.f64 (.f64 (*.f64 x x) (neg.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64))))
#s(approx (pow x 2) (.f64 (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))))
#s(approx (pow x 2) (.f64 (pow.f64 (.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))) #s(literal 1/2 binary64))))
#s(approx (pow x 2) (.f64 (pow.f64 (.f64 x (neg.f64 (fabs.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (neg.f64 (fabs.f64 x))) #s(literal 1/2 binary64))))
#s(approx (pow x 2) (.f64 (pow.f64 (.f64 (neg.f64 x) (fabs.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) #s(literal 1/2 binary64))))
#s(approx (pow x 2) (.f64 (pow.f64 (.f64 x (fabs.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (fabs.f64 x)) #s(literal 1/2 binary64))))
#s(approx (pow x 2) (.f64 (pow.f64 (.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)) #s(literal 1/2 binary64))))
#s(approx (pow x 2) (.f64 (pow.f64 (.f64 (fabs.f64 x) (neg.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 x) (neg.f64 x)) #s(literal 1/2 binary64))))
#s(approx (pow x 2) (.f64 (pow.f64 (.f64 (neg.f64 (fabs.f64 x)) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) x) #s(literal 1/2 binary64))))
#s(approx (pow x 2) (.f64 (pow.f64 (.f64 (fabs.f64 x) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 x) x) #s(literal 1/2 binary64))))
#s(approx (pow x 2) (.f64 (pow.f64 (.f64 (neg.f64 x) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64))))
#s(approx (pow x 2) (.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (neg.f64 (fabs.f64 x)) (*.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (pow x 2) (.f64 (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (pow.f64 (.f64 (fabs.f64 x) (*.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (pow x 2) (.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (pow.f64 (.f64 (neg.f64 x) (*.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (pow x 2) (.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (.f64 x (*.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (pow x 2) (*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 (fabs.f64 x)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))))
#s(approx (pow x 2) (.f64 (pow.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))
#s(approx (pow x 2) (*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (neg.f64 (fabs.f64 x))))
#s(approx (pow x 2) (.f64 (pow.f64 (.f64 x x) #s(literal 0 binary64)) (*.f64 x x)))
#s(approx (pow x 2) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal -2 binary64))))
#s(approx (pow x 2) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal -2 binary64))))
#s(approx (pow x 2) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal -2 binary64))))
#s(approx (pow x 2) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64))))
#s(approx (pow x 2) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
#s(approx (pow x 2) (exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 x))) #s(literal 2 binary64))))
#s(approx (pow x 2) (exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 1 binary64))))
#s(approx (pow x 2) (.f64 (.f64 x x) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 0 binary64))))
#s(approx (pow x 2) (.f64 (.f64 x x) (pow.f64 (fabs.f64 x) #s(literal 0 binary64))))
#s(approx (pow x 2) (.f64 (.f64 x x) (pow.f64 (neg.f64 x) #s(literal 0 binary64))))
#s(approx (pow x 2) (.f64 (.f64 x x) (pow.f64 (*.f64 x x) #s(literal 0 binary64))))
#s(approx (pow x 2) (.f64 (.f64 x x) (pow.f64 x #s(literal 0 binary64))))
#s(approx (pow x 2) (/.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64))))
#s(approx (pow x 2) (/.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64))))
#s(approx (pow x 2) (/.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64))))
#s(approx (pow x 2) (/.f64 (.f64 x x) (pow.f64 (.f64 x x) #s(literal 0 binary64))))
#s(approx (pow x 2) (/.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))
#s(approx (pow x 2) (*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))))
#s(approx (pow x 2) (*.f64 (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))))
#s(approx (pow x 2) (*.f64 (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))))
#s(approx (pow x 2) (*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x)))
#s(approx (pow x 2) (*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (pow x 2) (*.f64 (pow.f64 x #s(literal 1 binary64)) x))
#s(approx (pow x 2) (exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64))))
#s(approx (pow x 2) (exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))))
#s(approx (pow x 2) (*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64))))
#s(approx (pow x 2) (*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64))))
#s(approx (pow x 2) (*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))))
#s(approx (pow x 2) (*.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)))))
#s(approx (pow x 2) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (pow x 2) (*.f64 x x))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (.f64 (.f64 (*.f64 x x) x) x))
(fabs.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 x (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 (neg.f64 x) (fabs.f64 x)))
(fabs.f64 (*.f64 x (fabs.f64 x)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)))
(fabs.f64 (*.f64 (fabs.f64 x) (neg.f64 x)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) x))
(fabs.f64 (*.f64 (fabs.f64 x) x))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
#s(literal 1 binary64)

eval146.0ms (4.6%)

Memory: 56.8MiB live, 224.4MiB allocated; 55ms collecting garbage
Compiler: Compiled 11 513 to 3 085 computations (73.2% saved)

prune36.0ms (1.1%)

Memory

-27.0MiB live, 22.6MiB allocated; 39ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	588	2	590
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	589	2	591

Accuracy

100.0%

Counts

591 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
▶	99.7%	(acosh.f64 x)

Compiler

Compiled 15 to 12 computations (20% saved)

series8.0ms (0.3%)

Memory

16.5MiB live, 16.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	153	532

Stop Event

1×	iter-limit

Counts

6 → 25

Calls

Call 1

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

Outputs
#s(approx (acosh x) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (acosh x) (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (acosh x) (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))
#s(approx (acosh x) (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))
#s(approx x x)
#s(approx (+ x (sqrt (- (* x x) 1))) (sqrt.f64 #s(literal -1 binary64)))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 x (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))))
#s(approx (* 2 x) (*.f64 #s(literal 2 binary64) x))
#s(approx (acosh x) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (acosh x) (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (acosh x) (+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (acosh x) (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3/32 binary64) (.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f64 x (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f64 x (-.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (acosh x) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (acosh x) (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (acosh x) (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 5/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (acosh x) (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 5/32 binary64) (.f64 #s(literal 11/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)))

Calls

3 calls:

Time	Variable	Point
1.0ms	x	-inf
1.0ms	x	inf
1.0ms	x	0

rewrite87.0ms (2.7%)

Memory

1.1MiB live, 142.9MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	32
0	14	32
1	80	32
2	286	32
3	1002	32
0	4163	30

Stop Event

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

Counts

6 → 58

Calls

Call 1

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

Outputs
(acosh.f64 x)
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
x
(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 x x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 x x))
(*.f64 (+.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 1 binary64) (+.f64 x x))
(*.f64 x #s(literal 2 binary64))
#s(approx (* 2 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) x)) x))
#s(approx (* 2 x) (/.f64 (-.f64 (.f64 x x) (.f64 x x)) (+.f64 x (neg.f64 x))))
#s(approx (* 2 x) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x x (*.f64 (neg.f64 x) x)))))
#s(approx (* 2 x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x x)) x))
#s(approx (* 2 x) (/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x)))
#s(approx (* 2 x) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x)))))
(/.f64 (*.f64 #s(literal 8 binary64) x) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 x x) #s(literal 2 binary64) (*.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x)) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 x x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 8 binary64) (+.f64 x x)) #s(literal 8 binary64))
(/.f64 (*.f64 (+.f64 x x) #s(literal 8 binary64)) #s(literal 8 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 x x)) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 x x) #s(literal 1 binary64))
(neg.f64 (*.f64 (-.f64 (neg.f64 x) x) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(neg.f64 (*.f64 #s(literal -1 binary64) (+.f64 x x)))
(neg.f64 (*.f64 (+.f64 x x) #s(literal -1 binary64)))
(neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) x)))
(neg.f64 (*.f64 x #s(literal -2 binary64)))
(neg.f64 (-.f64 (neg.f64 x) x))
(fma.f64 #s(literal 0 binary64) (+.f64 x x) (+.f64 x x))
(fma.f64 (+.f64 x x) #s(literal 0 binary64) (+.f64 x x))
(fma.f64 (+.f64 x x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (+.f64 x x)))
(fma.f64 (+.f64 x x) #s(literal 1 binary64) (*.f64 (+.f64 x x) #s(literal 0 binary64)))
(fma.f64 (+.f64 x x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 0 binary64) (+.f64 x x)))
(fma.f64 #s(literal 2 binary64) x (*.f64 (+.f64 x x) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 x x) (*.f64 #s(literal 0 binary64) (+.f64 x x)))
(fma.f64 #s(literal 1 binary64) (+.f64 x x) (*.f64 (+.f64 x x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 x x) #s(literal 0 binary64))
(fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (+.f64 x x)))
(fma.f64 x #s(literal 2 binary64) (*.f64 (+.f64 x x) #s(literal 0 binary64)))
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(-.f64 x (neg.f64 x))
(+.f64 (*.f64 #s(literal 0 binary64) (+.f64 x x)) (+.f64 x x))
(+.f64 (*.f64 (+.f64 x x) #s(literal 0 binary64)) (+.f64 x x))
(+.f64 (+.f64 x x) (*.f64 #s(literal 0 binary64) (+.f64 x x)))
(+.f64 (+.f64 x x) (*.f64 (+.f64 x x) #s(literal 0 binary64)))
(+.f64 (+.f64 x x) #s(literal 0 binary64))
(+.f64 x x)
#s(literal 2 binary64)

eval13.0ms (0.4%)

Memory: -25.2MiB live, 23.9MiB allocated; 5ms collecting garbage
Compiler: Compiled 1 521 to 375 computations (75.3% saved)

prune2.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	80	2	82

Accuracy

100.0%

Counts

82 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 x x)))
✓	99.7%	(acosh.f64 x)

Compiler

Compiled 15 to 11 computations (26.7% saved)

series7.0ms (0.2%)

Memory

16.1MiB live, 16.1MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	616

Stop Event

1×	iter-limit

Counts

4 → 25

Calls

Call 1

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

Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (sqrt.f64 #s(literal -1 binary64)))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 x (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))))
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx x x)
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3/32 binary64) (.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f64 x (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f64 x (-.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 5/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 5/32 binary64) (.f64 #s(literal 11/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)))

Calls

3 calls:

Time	Variable	Point
1.0ms	x	-inf
1.0ms	x	inf
0.0ms	x	0

rewrite177.0ms (5.6%)

Memory

-14.6MiB live, 175.3MiB allocated; 62ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
0	11	29
1	88	29
2	276	29
3	909	29
4	3724	29
0	4997	27

Stop Event

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

Counts

4 → 32

Calls

Call 1

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

Outputs
(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 x x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 x x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (+.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x x))
(*.f64 x #s(literal 2 binary64))
#s(approx (* 2 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) x)) x))
#s(approx (* 2 x) (/.f64 (-.f64 (.f64 x x) (.f64 x x)) (+.f64 x (neg.f64 x))))
#s(approx (* 2 x) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x x (*.f64 (neg.f64 x) x)))))
#s(approx (* 2 x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x x)) x))
#s(approx (* 2 x) (/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x)))
#s(approx (* 2 x) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x)))))
(/.f64 (*.f64 x #s(literal 8 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 8 binary64) x) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))
(/.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 2 binary64) x (*.f64 x #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 0 binary64) x))
(fma.f64 (+.f64 x x) #s(literal 1 binary64) (*.f64 x #s(literal 0 binary64)))
(fma.f64 (+.f64 x x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal 1 binary64) (+.f64 x x) (*.f64 x #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 x x) (*.f64 #s(literal 0 binary64) x))
(fma.f64 x #s(literal 2 binary64) (*.f64 x #s(literal 0 binary64)))
(fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) x))
(-.f64 x (*.f64 #s(literal -1 binary64) x))
(-.f64 x (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 x (neg.f64 x))
(+.f64 (+.f64 x x) (*.f64 x #s(literal 0 binary64)))
(+.f64 (+.f64 x x) (*.f64 #s(literal 0 binary64) x))
(+.f64 x x)
x

eval11.0ms (0.3%)

Memory: 17.1MiB live, 17.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 155 to 289 computations (75% saved)

prune3.0ms (0.1%)

Memory

4.3MiB live, 4.3MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	53	2	55

Accuracy

100.0%

Counts

55 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.0%	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 x x)))
✓	99.7%	(acosh.f64 x)

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes13.0ms (0.4%)

Memory

-31.1MiB live, 17.2MiB allocated; 5ms collecting garbage

Accuracy

Total -29.9b remaining (-16303.1%)

Threshold costs -29.9b (-16303.1%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(acosh.f64 x)

Calls

3 calls:

6.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
3.0ms	x
3.0ms	(log.f64 (+.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 55 to 34 computations (38.2% saved)

derivations18.0ms (0.6%)

Memory

22.4MiB live, 22.4MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 2 to 2 computations (0% saved)

preprocess9.0ms (0.3%)

Memory: 20.8MiB live, 20.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 11 to 9 computations (18.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze70.0ms (2.2%)

sample2.3s (72.7%)

preprocess56.0ms (1.7%)

series19.0ms (0.6%)

rewrite195.0ms (6.1%)

eval146.0ms (4.6%)

prune36.0ms (1.1%)

series8.0ms (0.3%)

rewrite87.0ms (2.7%)

eval13.0ms (0.4%)

prune2.0ms (0.1%)

series7.0ms (0.2%)

rewrite177.0ms (5.6%)

eval11.0ms (0.3%)

prune3.0ms (0.1%)

regimes13.0ms (0.4%)

derivations18.0ms (0.6%)

preprocess9.0ms (0.3%)

end0.0ms (0%)

Profiling