Metrics for Hyperbolic arc-cosine

start0.0ms (0.0%)

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

analyze73.0ms (1.7%)

Memory

38.8MiB live, 172.8MiB allocated; 18ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	100.0%	0.0%	0.0%	0.0%	0.0%	0
0.0%	0.0%	100.0%	0.0%	0.0%	0.0%	0.0%	1
0.0%	0.0%	100.0%	0.0%	0.0%	0.0%	0.0%	2
0.0%	0.0%	100.0%	0.0%	0.0%	0.0%	0.0%	3
16.7%	12.5%	62.5%	0.0%	0.0%	25.0%	0.0%	4
30.0%	18.7%	43.7%	0.0%	0.0%	37.5%	0.0%	5
38.9%	21.9%	34.4%	0.0%	0.0%	43.7%	0.0%	6
44.1%	23.4%	29.7%	0.0%	0.0%	46.9%	0.0%	7
47.0%	24.2%	27.3%	0.0%	0.0%	48.4%	0.0%	8
48.5%	24.6%	26.2%	0.0%	0.0%	49.2%	0.0%	9
49.2%	24.8%	25.6%	0.0%	0.0%	49.6%	0.0%	10
49.6%	24.9%	25.3%	0.0%	0.0%	49.8%	0.0%	11
49.8%	24.9%	25.1%	0.0%	0.0%	49.9%	0.0%	12

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample3.1s (71.2%)

Memory

-181.7MiB live, 3 782.8MiB allocated; 2.4s collecting garbage

Samples

1.4s	8 256×	0	valid
1.2s	7 754×	1	invalid
15.0ms	325×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 2.1s

ival-add!: 1.0s (48.7% of total)

ival-sqrt: 337.0ms (16.3% of total)

adjust: 227.0ms (11.0% of total)

ival-mult!: 217.0ms (10.5% of total)

ival-log: 214.0ms (10.4% of total)

ival-sub!: 64.0ms (3.1% of total)

Bogosity

preprocess65.0ms (1.5%)

Memory

-14.4MiB live, 82.1MiB allocated; 16ms 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
▶	52.7%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
1

Outputs
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series19.0ms (0.4%)

Memory

0.9MiB live, 47.3MiB allocated; 3ms 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

rewrite270.0ms (6.2%)

Memory

5.0MiB live, 348.0MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	33
0	12	26
1	67	26
2	205	26
3	708	26
4	3106	26
0	4241	23

Stop Event

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

Counts

7 → 637

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

eval125.0ms (2.9%)

Memory: 33.9MiB live, 287.2MiB allocated; 65ms collecting garbage
Compiler: Compiled 11 923 to 3 226 computations (72.9% saved)

prune23.0ms (0.5%)

Memory

11.0MiB live, 51.7MiB allocated; 21ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	669	3	672
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	670	3	673

Accuracy

100.0%

Counts

673 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.7%	(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)) x))
▶	99.0%	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
▶	99.7%	(acosh.f64 x)

Status

Accuracy

Program

▶

52.7%

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

▶

99.0%

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

▶

99.7%

(acosh.f64 x)

Compiler

Compiled 27 to 21 computations (22.2% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
2
1
-1

Outputs
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal -1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 5 to 5 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series69.0ms (1.6%)

Memory

-8.7MiB live, 44.2MiB allocated; 76ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	247	1366

Stop Event

1×	iter-limit

Counts

14 → 61

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)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)) x)
(+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
#s(literal 1 binary64)
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 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 (+ 1 (/ (sqrt (+ (* x x) -1)) x)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x))
#s(approx (+ 1 (/ (sqrt (+ (* x x) -1)) x)) (/.f64 (+.f64 x (sqrt.f64 #s(literal -1 binary64))) x))
#s(approx (+ 1 (/ (sqrt (+ (* x x) -1)) x)) (/.f64 (+.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))))))) x))
#s(approx (+ 1 (/ (sqrt (+ (* x x) -1)) x)) (/.f64 (+.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))))))))) x))
#s(approx (/ (sqrt (+ (* x x) -1)) x) (/.f64 (+.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))))) x))
#s(approx (/ (sqrt (+ (* x x) -1)) x) (/.f64 (+.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))))))) x))
#s(approx (/ (sqrt (+ (* x x) -1)) x) (/.f64 (+.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))))))) 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 (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 (+ 1 (/ (sqrt (+ (* x x) -1)) x)) #s(literal 2 binary64))
#s(approx (+ 1 (/ (sqrt (+ (* x x) -1)) 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 (+ 1 (/ (sqrt (+ (* x x) -1)) 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 (+ 1 (/ (sqrt (+ (* x x) -1)) 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)) x) #s(literal 1 binary64))
#s(approx (/ (sqrt (+ (* x x) -1)) 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)) 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)) 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 (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) (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 (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)))
#s(approx (+ 1 (/ (sqrt (+ (* x x) -1)) x)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ 1 (/ (sqrt (+ (* x x) -1)) x)) (/.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 (+ 1 (/ (sqrt (+ (* x x) -1)) x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 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 (+ 1 (/ (sqrt (+ (* x x) -1)) x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (sqrt (+ (* x x) -1)) x) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
#s(approx (/ (sqrt (+ (* x x) -1)) x) (-.f64 (+.f64 (/.f64 #s(literal 1/8 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(literal 1 binary64)))
#s(approx (/ (sqrt (+ (* x x) -1)) x) (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) #s(literal 1 binary64)))
#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
3.0ms	x	-inf
1.0ms	x	inf
1.0ms	x	0

rewrite167.0ms (3.8%)

Memory

25.7MiB live, 226.2MiB allocated; 83ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	82
0	27	66
1	136	66
2	406	66
3	1697	66
0	4085	66

Stop Event

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

Counts

14 → 680

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

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

eval97.0ms (2.2%)

Memory: -7.5MiB live, 222.5MiB allocated; 34ms collecting garbage
Compiler: Compiled 14 398 to 3 523 computations (75.5% saved)

prune14.0ms (0.3%)

Memory

-5.0MiB live, 41.0MiB allocated; 3ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	716	2	718
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	718	3	721

Accuracy

100.0%

Counts

721 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.7%	(log.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) x x))
▶	99.0%	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 x x)))
✓	99.7%	(acosh.f64 x)

Compiler

Compiled 26 to 18 computations (30.8% saved)

sample0.0ms (0.0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
-1

Outputs
#s(literal -1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series16.0ms (0.4%)

Memory

-14.0MiB live, 32.0MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	223	1175

Stop Event

1×	iter-limit

Counts

10 → 50

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
(log.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) x x))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) x x)
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
#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) (*.f64 #s(literal 2 binary64) x))
#s(approx x x)
#s(approx (/ (sqrt (+ (* x x) -1)) x) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x))
#s(approx (/ (sqrt (+ (* x x) -1)) x) (/.f64 (+.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))))) x))
#s(approx (/ (sqrt (+ (* x x) -1)) x) (/.f64 (+.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))))))) x))
#s(approx (/ (sqrt (+ (* x x) -1)) x) (/.f64 (+.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))))))) 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 (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 (/ (sqrt (+ (* x x) -1)) x) #s(literal 1 binary64))
#s(approx (/ (sqrt (+ (* x x) -1)) 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)) 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)) 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 (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) (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)) x) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
#s(approx (/ (sqrt (+ (* x x) -1)) x) (-.f64 (+.f64 (/.f64 #s(literal 1/8 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(literal 1 binary64)))
#s(approx (/ (sqrt (+ (* x x) -1)) x) (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) #s(literal 1 binary64)))
#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
1.0ms	x	-inf
1.0ms	x	inf
1.0ms	x	0

rewrite124.0ms (2.8%)

Memory

11.3MiB live, 251.5MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	67
0	23	65
1	135	65
2	377	59
3	1394	53
0	4326	53

Stop Event

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

Counts

10 → 681

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

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

eval149.0ms (3.4%)

Memory: -3.4MiB live, 207.5MiB allocated; 114ms collecting garbage
Compiler: Compiled 14 817 to 3 272 computations (77.9% saved)

prune15.0ms (0.3%)

Memory

-20.7MiB live, 28.1MiB allocated; 8ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	722	0	722
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	722	3	725

Accuracy

100.0%

Counts

725 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.7%	(log.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) x x))
✓	99.0%	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 x x)))
✓	99.7%	(acosh.f64 x)

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes9.0ms (0.2%)

Memory

26.3MiB live, 26.3MiB allocated; 0ms collecting garbage

Counts

6 → 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)))))
(log.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) x x))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)) x))

Outputs
(acosh.f64 x)

Calls

3 calls:

3.0ms	x
2.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
2.0ms	(+.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 78 to 43 computations (44.9% saved)

derivations18.0ms (0.4%)

Memory

-37.5MiB live, 9.3MiB allocated; 2ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 2 to 2 computations (0.0% saved)

preprocess9.0ms (0.2%)

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

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze73.0ms (1.7%)

sample3.1s (71.2%)

preprocess65.0ms (1.5%)

sample0.0ms (0.0%)

series19.0ms (0.4%)

rewrite270.0ms (6.2%)

eval125.0ms (2.9%)

prune23.0ms (0.5%)

sample0.0ms (0.0%)

series69.0ms (1.6%)

rewrite167.0ms (3.8%)

eval97.0ms (2.2%)

prune14.0ms (0.3%)

sample0.0ms (0.0%)

series16.0ms (0.4%)

rewrite124.0ms (2.8%)

eval149.0ms (3.4%)

prune15.0ms (0.3%)

regimes9.0ms (0.2%)

derivations18.0ms (0.4%)

preprocess9.0ms (0.2%)

end0.0ms (0.0%)

Profiling