Metrics for Hyperbolic arc-cosine

start0.0ms (0%)

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

analyze66.0ms (1.3%)

Memory

13.7MiB live, 158.7MiB allocated; 6ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	100%	0%	0%	0%	0%	3
16.7%	12.5%	62.5%	0%	0%	25%	0%	4
30%	18.7%	43.7%	0%	0%	37.5%	0%	5
38.9%	21.9%	34.4%	0%	0%	43.7%	0%	6
44.1%	23.4%	29.7%	0%	0%	46.9%	0%	7
47%	24.2%	27.3%	0%	0%	48.4%	0%	8
48.5%	24.6%	26.2%	0%	0%	49.2%	0%	9
49.2%	24.8%	25.6%	0%	0%	49.6%	0%	10
49.6%	24.9%	25.3%	0%	0%	49.8%	0%	11
49.8%	24.9%	25.1%	0%	0%	49.9%	0%	12

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample3.0s (58.2%)

Memory

-182.9MiB live, 3 412.9MiB allocated; 1.8s collecting garbage

Samples

2.0s	8 064×	1	invalid
554.0ms	8 255×	0	valid
21.0ms	331×	0	invalid
0.0ms	1×	1	valid

Precisions

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

adjust: 1.2s (55.4% of total)

ival-sqrt: 307.0ms (14.6% of total)

ival-log: 276.0ms (13.1% of total)

ival-mult!: 220.0ms (10.4% of total)

ival-add!: 73.0ms (3.5% of total)

ival-sub!: 64.0ms (3% of total)

Bogosity

preprocess85.0ms (1.6%)

Memory

-47.6MiB live, 59.4MiB allocated; 10ms 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
▶	53.8%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))

Compiler

Compiled 14 to 14 computations (0% saved)

series15.0ms (0.3%)

Memory

24.5MiB live, 24.5MiB allocated; 0ms 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	Expression
2.0ms	x	@	inf	((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) x (sqrt (- (* x x) 1)) (- (* x x) 1) (* x x) 1)
2.0ms	x	@	0	((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) x (sqrt (- (* x x) 1)) (- (* x x) 1) (* x x) 1)
2.0ms	x	@	-inf	((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) x (sqrt (- (* x x) 1)) (- (* x x) 1) (* x x) 1)

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

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

2.0ms

-inf

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

rewrite225.0ms (4.3%)

Memory

44.5MiB live, 308.7MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	33
0	12	20
1	69	20
2	211	20
3	720	20
4	3120	20
0	8172	19

Stop Event

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

Counts

7 → 925

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

eval151.0ms (2.9%)

Memory: -66.9MiB live, 257.1MiB allocated; 66ms collecting garbage
Compiler: Compiled 9 106 to 4 608 computations (49.4% saved)

prune15.0ms (0.3%)

Memory

23.9MiB live, 23.9MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	957	3	960
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	957	4	961

Accuracy

100.0%

Counts

961 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	19.5%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (/.f64 (pow.f64 (.f64 x x) (.f64 (cosh.f64 #s(literal -1 binary64)) (cosh.f64 #s(literal -1 binary64)))) (pow.f64 (.f64 x x) (.f64 (sinh.f64 #s(literal 1 binary64)) (sinh.f64 #s(literal 1 binary64))))) #s(literal 1 binary64)))))
✓	53.8%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
▶	98.0%	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
▶	99.7%	(acosh.f64 x)

Compiler

Compiled 37 to 34 computations (8.1% saved)

series106.0ms (2%)

Memory

-10.9MiB live, 126.6MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	296	2641

Stop Event

1×	iter-limit

Counts

20 → 55

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

Calls

3 calls:

Time	Variable		Point	Expression
45.0ms	x	@	0	((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) 2 (log (+ x (sqrt (- (/ (pow (* x x) (* (cosh -1) (cosh -1))) (pow (* x x) (* (sinh 1) (sinh 1)))) 1)))) (+ x (sqrt (- (/ (pow (* x x) (* (cosh -1) (cosh -1))) (pow (* x x) (* (sinh 1) (sinh 1)))) 1))) (sqrt (- (/ (pow (* x x) (* (cosh -1) (cosh -1))) (pow (* x x) (* (sinh 1) (sinh 1)))) 1)) (- (/ (pow (* x x) (* (cosh -1) (cosh -1))) (pow (* x x) (* (sinh 1) (sinh 1)))) 1) (/ (pow (* x x) (* (cosh -1) (cosh -1))) (pow (* x x) (* (sinh 1) (sinh 1)))) (pow (* x x) (* (cosh -1) (cosh -1))) (* x x) (* (cosh -1) (cosh -1)) (cosh -1) -1 (pow (* x x) (* (sinh 1) (sinh 1))) (* (sinh 1) (sinh 1)) (sinh 1) 1)
17.0ms	x	@	inf	((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) 2 (log (+ x (sqrt (- (/ (pow (* x x) (* (cosh -1) (cosh -1))) (pow (* x x) (* (sinh 1) (sinh 1)))) 1)))) (+ x (sqrt (- (/ (pow (* x x) (* (cosh -1) (cosh -1))) (pow (* x x) (* (sinh 1) (sinh 1)))) 1))) (sqrt (- (/ (pow (* x x) (* (cosh -1) (cosh -1))) (pow (* x x) (* (sinh 1) (sinh 1)))) 1)) (- (/ (pow (* x x) (* (cosh -1) (cosh -1))) (pow (* x x) (* (sinh 1) (sinh 1)))) 1) (/ (pow (* x x) (* (cosh -1) (cosh -1))) (pow (* x x) (* (sinh 1) (sinh 1)))) (pow (* x x) (* (cosh -1) (cosh -1))) (* x x) (* (cosh -1) (cosh -1)) (cosh -1) -1 (pow (* x x) (* (sinh 1) (sinh 1))) (* (sinh 1) (sinh 1)) (sinh 1) 1)
12.0ms	x	@	-inf	((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) 2 (log (+ x (sqrt (- (/ (pow (* x x) (* (cosh -1) (cosh -1))) (pow (* x x) (* (sinh 1) (sinh 1)))) 1)))) (+ x (sqrt (- (/ (pow (* x x) (* (cosh -1) (cosh -1))) (pow (* x x) (* (sinh 1) (sinh 1)))) 1))) (sqrt (- (/ (pow (* x x) (* (cosh -1) (cosh -1))) (pow (* x x) (* (sinh 1) (sinh 1)))) 1)) (- (/ (pow (* x x) (* (cosh -1) (cosh -1))) (pow (* x x) (* (sinh 1) (sinh 1)))) 1) (/ (pow (* x x) (* (cosh -1) (cosh -1))) (pow (* x x) (* (sinh 1) (sinh 1)))) (pow (* x x) (* (cosh -1) (cosh -1))) (* x x) (* (cosh -1) (cosh -1)) (cosh -1) -1 (pow (* x x) (* (sinh 1) (sinh 1))) (* (sinh 1) (sinh 1)) (sinh 1) 1)

Time

Variable

Point

Expression

45.0ms

((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) 2 (log (+ x (sqrt (- (/ (pow (* x x) (* (cosh -1) (cosh -1))) (pow (* x x) (* (sinh 1) (sinh 1)))) 1)))) (+ x (sqrt (- (/ (pow (* x x) (* (cosh -1) (cosh -1))) (pow (* x x) (* (sinh 1) (sinh 1)))) 1))) (sqrt (- (/ (pow (* x x) (* (cosh -1) (cosh -1))) (pow (* x x) (* (sinh 1) (sinh 1)))) 1)) (- (/ (pow (* x x) (* (cosh -1) (cosh -1))) (pow (* x x) (* (sinh 1) (sinh 1)))) 1) (/ (pow (* x x) (* (cosh -1) (cosh -1))) (pow (* x x) (* (sinh 1) (sinh 1)))) (pow (* x x) (* (cosh -1) (cosh -1))) (* x x) (* (cosh -1) (cosh -1)) (cosh -1) -1 (pow (* x x) (* (sinh 1) (sinh 1))) (* (sinh 1) (sinh 1)) (sinh 1) 1)

17.0ms

inf

((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) 2 (log (+ x (sqrt (- (/ (pow (* x x) (* (cosh -1) (cosh -1))) (pow (* x x) (* (sinh 1) (sinh 1)))) 1)))) (+ x (sqrt (- (/ (pow (* x x) (* (cosh -1) (cosh -1))) (pow (* x x) (* (sinh 1) (sinh 1)))) 1))) (sqrt (- (/ (pow (* x x) (* (cosh -1) (cosh -1))) (pow (* x x) (* (sinh 1) (sinh 1)))) 1)) (- (/ (pow (* x x) (* (cosh -1) (cosh -1))) (pow (* x x) (* (sinh 1) (sinh 1)))) 1) (/ (pow (* x x) (* (cosh -1) (cosh -1))) (pow (* x x) (* (sinh 1) (sinh 1)))) (pow (* x x) (* (cosh -1) (cosh -1))) (* x x) (* (cosh -1) (cosh -1)) (cosh -1) -1 (pow (* x x) (* (sinh 1) (sinh 1))) (* (sinh 1) (sinh 1)) (sinh 1) 1)

12.0ms

-inf

((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) 2 (log (+ x (sqrt (- (/ (pow (* x x) (* (cosh -1) (cosh -1))) (pow (* x x) (* (sinh 1) (sinh 1)))) 1)))) (+ x (sqrt (- (/ (pow (* x x) (* (cosh -1) (cosh -1))) (pow (* x x) (* (sinh 1) (sinh 1)))) 1))) (sqrt (- (/ (pow (* x x) (* (cosh -1) (cosh -1))) (pow (* x x) (* (sinh 1) (sinh 1)))) 1)) (- (/ (pow (* x x) (* (cosh -1) (cosh -1))) (pow (* x x) (* (sinh 1) (sinh 1)))) 1) (/ (pow (* x x) (* (cosh -1) (cosh -1))) (pow (* x x) (* (sinh 1) (sinh 1)))) (pow (* x x) (* (cosh -1) (cosh -1))) (* x x) (* (cosh -1) (cosh -1)) (cosh -1) -1 (pow (* x x) (* (sinh 1) (sinh 1))) (* (sinh 1) (sinh 1)) (sinh 1) 1)

rewrite231.0ms (4.4%)

Memory

20.1MiB live, 386.7MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	180
0	39	113
1	173	77
2	661	77
3	4105	77
0	8079	76

Stop Event

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

Counts

20 → 1 025

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

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

eval172.0ms (3.3%)

Memory: 10.9MiB live, 298.9MiB allocated; 80ms collecting garbage
Compiler: Compiled 21 254 to 6 448 computations (69.7% saved)

prune23.0ms (0.4%)

Memory

-11.3MiB live, 34.5MiB allocated; 4ms collecting garbage

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	919	2	921
Fresh	0	0	0
Picked	2	1	3
Done	0	1	1
Total	921	4	925

Accuracy

100.0%

Counts

925 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	19.6%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 (pow.f64 x (+.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal 1 binary64))) (pow.f64 x (.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64)))) #s(literal 4 binary64))))) #s(literal 1 binary64)))))
✓	53.8%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
▶	98.0%	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 x x)))
✓	99.7%	(acosh.f64 x)

Compiler

Compiled 43 to 39 computations (9.3% saved)

series64.0ms (1.2%)

Memory

-12.6MiB live, 90.2MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	280	2701

Stop Event

1×	iter-limit

Counts

24 → 49

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 (+.f64 x (sqrt.f64 (-.f64 (.f64 (pow.f64 x (+.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal 1 binary64))) (pow.f64 x (.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64)))) #s(literal 4 binary64))))) #s(literal 1 binary64)))))
(+.f64 x (sqrt.f64 (-.f64 (.f64 (pow.f64 x (+.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal 1 binary64))) (pow.f64 x (.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64)))) #s(literal 4 binary64))))) #s(literal 1 binary64))))
(sqrt.f64 (-.f64 (.f64 (pow.f64 x (+.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal 1 binary64))) (pow.f64 x (.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64)))) #s(literal 4 binary64))))) #s(literal 1 binary64)))
(-.f64 (.f64 (pow.f64 x (+.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal 1 binary64))) (pow.f64 x (.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64)))) #s(literal 4 binary64))))) #s(literal 1 binary64))
(.f64 (pow.f64 x (+.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal 1 binary64))) (pow.f64 x (.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64)))) #s(literal 4 binary64)))))
(pow.f64 x (+.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal 1 binary64)))
(+.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal 1 binary64))
(cosh.f64 #s(literal -2 binary64))
#s(literal -2 binary64)
#s(literal 1 binary64)
(pow.f64 x (.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64)))) #s(literal 4 binary64))))
(.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64)))) #s(literal 4 binary64)))
#s(literal 2 binary64)
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64)))) #s(literal 4 binary64))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64))))
(-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64))
(/.f64 #s(literal 1 binary64) (E.f64))
(E.f64)
(-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(literal 4 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 (log (+ x (sqrt (- (* (pow x (+ (cosh -2) 1)) (pow x (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4)))) 1)))) (log.f64 (sqrt.f64 (-.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 x) (.f64 (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)))))) (exp.f64 (.f64 (log.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal -2 binary64))))))))) #s(literal 1 binary64)))))
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#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 (log (+ x (sqrt (- (* (pow x (+ (cosh -2) 1)) (pow x (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4)))) 1)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (-.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal -2 binary64))))))))) (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64))))))) #s(literal 1 binary64))) x))))
#s(approx (log (+ x (sqrt (- (* (pow x (+ (cosh -2) 1)) (pow x (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4)))) 1)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal -2 binary64))))))))) (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64))))))) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal -2 binary64))))))))) (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64))))))) #s(literal 1 binary64))) #s(literal 2 binary64)) x))) x))))
#s(approx (log (+ x (sqrt (- (* (pow x (+ (cosh -2) 1)) (pow x (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4)))) 1)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal -2 binary64))))))))) (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64))))))) #s(literal 1 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 (-.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal -2 binary64))))))))) (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64))))))) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal -2 binary64))))))))) (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64))))))) #s(literal 1 binary64))) #s(literal 3 binary64)) x))) x))) x))))
#s(approx (+ x (sqrt (- (* (pow x (+ (cosh -2) 1)) (pow x (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4)))) 1))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (-.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal -2 binary64))))))))) (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64))))))) #s(literal 1 binary64))) x)) #s(literal 1 binary64)))))

Calls

3 calls:

Time	Variable		Point	Expression
25.0ms	x	@	inf	((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ x x) x (log (+ x (sqrt (- (* (pow x (+ (cosh -2) 1)) (pow x (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4)))) 1)))) (+ x (sqrt (- (* (pow x (+ (cosh -2) 1)) (pow x (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4)))) 1))) (sqrt (- (* (pow x (+ (cosh -2) 1)) (pow x (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4)))) 1)) (- (* (pow x (+ (cosh -2) 1)) (pow x (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4)))) 1) (* (pow x (+ (cosh -2) 1)) (pow x (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4)))) (pow x (+ (cosh -2) 1)) (+ (cosh -2) 1) (cosh -2) -2 1 (pow x (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4))) (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4)) 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4) (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) (- (/ 1 (E)) (E)) (/ 1 (E)) (E) (- (E) (/ 1 (E))) 4)
11.0ms	x	@	-inf	((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ x x) x (log (+ x (sqrt (- (* (pow x (+ (cosh -2) 1)) (pow x (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4)))) 1)))) (+ x (sqrt (- (* (pow x (+ (cosh -2) 1)) (pow x (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4)))) 1))) (sqrt (- (* (pow x (+ (cosh -2) 1)) (pow x (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4)))) 1)) (- (* (pow x (+ (cosh -2) 1)) (pow x (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4)))) 1) (* (pow x (+ (cosh -2) 1)) (pow x (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4)))) (pow x (+ (cosh -2) 1)) (+ (cosh -2) 1) (cosh -2) -2 1 (pow x (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4))) (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4)) 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4) (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) (- (/ 1 (E)) (E)) (/ 1 (E)) (E) (- (E) (/ 1 (E))) 4)
11.0ms	x	@	0	((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ x x) x (log (+ x (sqrt (- (* (pow x (+ (cosh -2) 1)) (pow x (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4)))) 1)))) (+ x (sqrt (- (* (pow x (+ (cosh -2) 1)) (pow x (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4)))) 1))) (sqrt (- (* (pow x (+ (cosh -2) 1)) (pow x (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4)))) 1)) (- (* (pow x (+ (cosh -2) 1)) (pow x (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4)))) 1) (* (pow x (+ (cosh -2) 1)) (pow x (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4)))) (pow x (+ (cosh -2) 1)) (+ (cosh -2) 1) (cosh -2) -2 1 (pow x (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4))) (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4)) 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4) (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) (- (/ 1 (E)) (E)) (/ 1 (E)) (E) (- (E) (/ 1 (E))) 4)

Time

Variable

Point

Expression

25.0ms

inf

((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ x x) x (log (+ x (sqrt (- (* (pow x (+ (cosh -2) 1)) (pow x (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4)))) 1)))) (+ x (sqrt (- (* (pow x (+ (cosh -2) 1)) (pow x (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4)))) 1))) (sqrt (- (* (pow x (+ (cosh -2) 1)) (pow x (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4)))) 1)) (- (* (pow x (+ (cosh -2) 1)) (pow x (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4)))) 1) (* (pow x (+ (cosh -2) 1)) (pow x (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4)))) (pow x (+ (cosh -2) 1)) (+ (cosh -2) 1) (cosh -2) -2 1 (pow x (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4))) (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4)) 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4) (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) (- (/ 1 (E)) (E)) (/ 1 (E)) (E) (- (E) (/ 1 (E))) 4)

11.0ms

-inf

((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ x x) x (log (+ x (sqrt (- (* (pow x (+ (cosh -2) 1)) (pow x (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4)))) 1)))) (+ x (sqrt (- (* (pow x (+ (cosh -2) 1)) (pow x (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4)))) 1))) (sqrt (- (* (pow x (+ (cosh -2) 1)) (pow x (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4)))) 1)) (- (* (pow x (+ (cosh -2) 1)) (pow x (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4)))) 1) (* (pow x (+ (cosh -2) 1)) (pow x (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4)))) (pow x (+ (cosh -2) 1)) (+ (cosh -2) 1) (cosh -2) -2 1 (pow x (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4))) (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4)) 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4) (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) (- (/ 1 (E)) (E)) (/ 1 (E)) (E) (- (E) (/ 1 (E))) 4)

11.0ms

((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ x x) x (log (+ x (sqrt (- (* (pow x (+ (cosh -2) 1)) (pow x (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4)))) 1)))) (+ x (sqrt (- (* (pow x (+ (cosh -2) 1)) (pow x (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4)))) 1))) (sqrt (- (* (pow x (+ (cosh -2) 1)) (pow x (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4)))) 1)) (- (* (pow x (+ (cosh -2) 1)) (pow x (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4)))) 1) (* (pow x (+ (cosh -2) 1)) (pow x (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4)))) (pow x (+ (cosh -2) 1)) (+ (cosh -2) 1) (cosh -2) -2 1 (pow x (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4))) (* 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4)) 2 (/ (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) 4) (* (- (/ 1 (E)) (E)) (- (E) (/ 1 (E)))) (- (/ 1 (E)) (E)) (/ 1 (E)) (E) (- (E) (/ 1 (E))) 4)

rewrite274.0ms (5.2%)

Memory

20.5MiB live, 395.7MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	251
0	46	235
1	255	200
2	946	174
3	6554	174
0	8213	169

Stop Event

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

Counts

24 → 906

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 (+.f64 x (sqrt.f64 (-.f64 (.f64 (pow.f64 x (+.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal 1 binary64))) (pow.f64 x (.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64)))) #s(literal 4 binary64))))) #s(literal 1 binary64)))))
(+.f64 x (sqrt.f64 (-.f64 (.f64 (pow.f64 x (+.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal 1 binary64))) (pow.f64 x (.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64)))) #s(literal 4 binary64))))) #s(literal 1 binary64))))
(sqrt.f64 (-.f64 (.f64 (pow.f64 x (+.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal 1 binary64))) (pow.f64 x (.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64)))) #s(literal 4 binary64))))) #s(literal 1 binary64)))
(-.f64 (.f64 (pow.f64 x (+.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal 1 binary64))) (pow.f64 x (.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64)))) #s(literal 4 binary64))))) #s(literal 1 binary64))
(.f64 (pow.f64 x (+.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal 1 binary64))) (pow.f64 x (.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64)))) #s(literal 4 binary64)))))
(pow.f64 x (+.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal 1 binary64)))
(+.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal 1 binary64))
(cosh.f64 #s(literal -2 binary64))
#s(literal -2 binary64)
#s(literal 1 binary64)
(pow.f64 x (.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64)))) #s(literal 4 binary64))))
(.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64)))) #s(literal 4 binary64)))
#s(literal 2 binary64)
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64)))) #s(literal 4 binary64))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64))))
(-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64))
(/.f64 #s(literal 1 binary64) (E.f64))
(E.f64)
(-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(literal 4 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 x #s(literal 1 binary64)) #s(literal 2 binary64))
(*.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) (.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal -2 binary64) (neg.f64 x))
(*.f64 (+.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x x))
(*.f64 x #s(literal 2 binary64))
(/.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 #s(literal -2 binary64) x))
(fma.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64) (.f64 x #s(literal 0 binary64)))
(fma.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64) (.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal 0 binary64) x (+.f64 x x))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1 binary64) x) (.f64 x #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal 2 binary64) x (*.f64 x #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal -2 binary64) (neg.f64 x) (*.f64 x #s(literal 0 binary64)))
(fma.f64 #s(literal -2 binary64) (neg.f64 x) (*.f64 #s(literal 0 binary64) x))
(fma.f64 (+.f64 x x) #s(literal 1 binary64) (*.f64 x #s(literal 0 binary64)))
(fma.f64 (+.f64 x x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal 1 binary64) (+.f64 x x) (*.f64 x #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 x x) (*.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 x #s(literal 0 binary64) (+.f64 x x))
(fma.f64 x #s(literal 2 binary64) (*.f64 x #s(literal 0 binary64)))
(fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))
(-.f64 x (neg.f64 x))
(+.f64 (*.f64 x #s(literal 0 binary64)) (+.f64 x x))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) x) (+.f64 x x))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x))
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(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 #s(literal 2/3 binary64)))) (/.f64 #s(literal -1 binary64) (exp.f64 #s(literal 1/3 binary64))) (/.f64 #s(literal 0 binary64) (E.f64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 2/3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 2/3 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (E.f64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 2/3 binary64))) (/.f64 #s(literal 0 binary64) (E.f64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 2/3 binary64))) (/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 #s(literal 1/3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 2/3 binary64))) (/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 #s(literal 1/3 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (E.f64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 2/3 binary64))) (/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 #s(literal 1/3 binary64)))) (/.f64 #s(literal 0 binary64) (E.f64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 1/3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 1/3 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (E.f64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 1/3 binary64))) (/.f64 #s(literal 0 binary64) (E.f64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (E.f64)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (E.f64)) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (E.f64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (E.f64)) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) (E.f64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (E.f64))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 #s(literal 0 binary64) (E.f64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (E.f64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (E.f64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (E.f64)) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (E.f64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (E.f64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 #s(literal 0 binary64) (E.f64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (E.f64) (E.f64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (E.f64))) (/.f64 #s(literal -1 binary64) (E.f64)))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)) (/.f64 (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64))) #s(literal 2 binary64)))
(fabs.f64 (/.f64 #s(literal 1 binary64) (E.f64)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 (E.f64) (E.f64)) (E.f64))) #s(literal -1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (E.f64)) #s(literal -1 binary64)))
(exp.f64 #s(literal -1 binary64))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 0 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (E.f64))))
(+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 #s(literal 0 binary64) (E.f64)))
(E.f64)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (E.f64) (/.f64 #s(literal -1 binary64) (E.f64)))) (/.f64 #s(literal -1 binary64) (E.f64)))
(*.f64 (/.f64 (-.f64 (E.f64) #s(literal -1 binary64)) (exp.f64 #s(literal 1/3 binary64))) (/.f64 (-.f64 (E.f64) #s(literal 1 binary64)) (exp.f64 #s(literal 2/3 binary64))))
(*.f64 (/.f64 (-.f64 (E.f64) #s(literal -1 binary64)) (exp.f64 #s(literal 2/3 binary64))) (/.f64 (-.f64 (E.f64) #s(literal 1 binary64)) (exp.f64 #s(literal 1/3 binary64))))
(.f64 (.f64 (fma.f64 (E.f64) (E.f64) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (E.f64)))
(.f64 (.f64 (fma.f64 (E.f64) (E.f64) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)))
(*.f64 (/.f64 (fma.f64 (E.f64) (E.f64) #s(literal -1 binary64)) (exp.f64 #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 1/3 binary64))))
(.f64 (-.f64 (E.f64) #s(literal -1 binary64)) (.f64 (-.f64 (E.f64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
(*.f64 (-.f64 (E.f64) #s(literal -1 binary64)) (/.f64 (-.f64 (E.f64) #s(literal 1 binary64)) (E.f64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (E.f64)) (E.f64))) (E.f64))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (E.f64) (E.f64))) (/.f64 #s(literal -1 binary64) (E.f64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64))) (E.f64))
(*.f64 (fma.f64 (E.f64) (E.f64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)))
(*.f64 (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (E.f64) (E.f64) #s(literal -1 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64))) #s(literal 2 binary64)))
(/.f64 (/.f64 (/.f64 (fma.f64 (E.f64) (E.f64) #s(literal -1 binary64)) (exp.f64 #s(literal 2/3 binary64))) (*.f64 (exp.f64 #s(literal 1/9 binary64)) (exp.f64 #s(literal 1/9 binary64)))) (exp.f64 #s(literal 1/9 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (E.f64) (E.f64))) (exp.f64 #s(literal 2/3 binary64))) (neg.f64 (exp.f64 #s(literal 1/3 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64))) (.f64 (E.f64) (E.f64))) (-.f64 (/.f64 #s(literal -1 binary64) (E.f64)) (E.f64)))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (E.f64)) #s(literal 3 binary64)) (.f64 (.f64 (E.f64) (E.f64)) (E.f64))) (fma.f64 (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64)) (-.f64 (.f64 (E.f64) (E.f64)) (.f64 (/.f64 #s(literal -1 binary64) (E.f64)) (E.f64)))))
(/.f64 (/.f64 (fma.f64 (E.f64) (E.f64) #s(literal -1 binary64)) (exp.f64 #s(literal 1/3 binary64))) (exp.f64 #s(literal 2/3 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (E.f64) (E.f64)) (exp.f64 #s(literal 1/3 binary64))) (*.f64 (E.f64) (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 2/3 binary64))))) (exp.f64 #s(literal 4/3 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 (E.f64)) (E.f64)) (E.f64)) (.f64 (E.f64) #s(literal -1 binary64))) (.f64 (neg.f64 (E.f64)) (E.f64)))
(/.f64 (-.f64 (.f64 (.f64 (E.f64) (E.f64)) (E.f64)) (E.f64)) (*.f64 (E.f64) (E.f64)))
(/.f64 (*.f64 (fma.f64 (E.f64) (E.f64) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (E.f64)))
(/.f64 (*.f64 (fma.f64 (E.f64) (E.f64) #s(literal -1 binary64)) #s(literal 1 binary64)) (E.f64))
(/.f64 (neg.f64 (/.f64 (fma.f64 (E.f64) (E.f64) #s(literal -1 binary64)) (exp.f64 #s(literal 2/3 binary64)))) (neg.f64 (exp.f64 #s(literal 1/3 binary64))))
(/.f64 (/.f64 (fma.f64 (E.f64) (E.f64) #s(literal -1 binary64)) (exp.f64 #s(literal 2/3 binary64))) (exp.f64 #s(literal 1/3 binary64)))
(/.f64 (-.f64 (.f64 (E.f64) (E.f64)) (.f64 (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64)))) (-.f64 (E.f64) (/.f64 #s(literal -1 binary64) (E.f64))))
(/.f64 (+.f64 (.f64 (.f64 (E.f64) (E.f64)) (E.f64)) (pow.f64 (/.f64 #s(literal -1 binary64) (E.f64)) #s(literal 3 binary64))) (fma.f64 (E.f64) (E.f64) (-.f64 (.f64 (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64))) (.f64 (E.f64) (/.f64 #s(literal -1 binary64) (E.f64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (E.f64) (E.f64))) (neg.f64 (E.f64)))
(/.f64 (fma.f64 (E.f64) (E.f64) #s(literal -1 binary64)) (E.f64))
(/.f64 (-.f64 (.f64 (E.f64) (E.f64)) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64)))) (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)))
(/.f64 (-.f64 (.f64 (.f64 (E.f64) (E.f64)) (E.f64)) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 3 binary64))) (fma.f64 (E.f64) (E.f64) (fma.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64)) (*.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 #s(literal 1/3 binary64)) (/.f64 (fma.f64 (E.f64) (E.f64) #s(literal -1 binary64)) (exp.f64 #s(literal 2/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (E.f64)) (-.f64 #s(literal 1 binary64) (*.f64 (E.f64) (E.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 (E.f64) (E.f64) #s(literal -1 binary64))))
(neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 #s(literal 2/3 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 1/3 binary64))) (E.f64))
(fma.f64 (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 1/3 binary64))) (/.f64 #s(literal -1 binary64) (exp.f64 #s(literal 2/3 binary64))) (E.f64))
(fma.f64 (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 2/3 binary64))) (/.f64 #s(literal -1 binary64) (exp.f64 #s(literal 1/3 binary64))) (E.f64))
(fma.f64 (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 #s(literal 1/3 binary64)))) (E.f64))
(fma.f64 (/.f64 #s(literal -1 binary64) (E.f64)) #s(literal 1 binary64) (E.f64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64))
(fma.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal -1 binary64) (E.f64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (E.f64))
(-.f64 (/.f64 #s(literal -1 binary64) (E.f64)) (neg.f64 (E.f64)))
(-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64)))
(+.f64 (+.f64 (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64))) (/.f64 (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64))) #s(literal 2 binary64)))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)) (+.f64 (/.f64 (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64))) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (E.f64))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
(+.f64 (/.f64 #s(literal -1 binary64) (E.f64)) (E.f64))
(+.f64 (E.f64) (/.f64 #s(literal -1 binary64) (E.f64)))
#s(literal 4 binary64)

eval167.0ms (3.2%)

Memory: -1.7MiB live, 427.5MiB allocated; 65ms collecting garbage
Compiler: Compiled 21 373 to 8 130 computations (62% saved)

prune30.0ms (0.6%)

Memory

-5.8MiB live, 80.1MiB allocated; 19ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	941	1	942
Fresh	0	0	0
Picked	1	1	2
Done	0	2	2
Total	942	4	946

Accuracy

100.0%

Counts

946 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.3%	(log.f64 (+.f64 (sqrt.f64 (-.f64 (pow.f64 x (fma.f64 (*.f64 (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64))) #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (cosh.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))) x))
✓	53.8%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓	98.0%	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 x x)))
✓	99.7%	(acosh.f64 x)

Compiler

Compiled 40 to 36 computations (10% saved)

series53.0ms (1%)

Memory

22.8MiB live, 74.7MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	1621

Stop Event

1×	iter-limit

Counts

18 → 21

Calls

Call 1

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

Outputs
#s(approx (log (+ (sqrt (- (pow x (+ (* (* (- (E) (/ 1 (E))) 1/2) (- (/ 1 (E)) (E))) (- (cosh 2) -1))) 1)) x)) (log.f64 (sqrt.f64 (expm1.f64 (.f64 (log.f64 x) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 2 binary64))))))))))))
#s(approx (log (+ (sqrt (- (pow x (+ (* (* (- (E) (/ 1 (E))) 1/2) (- (/ 1 (E)) (E))) (- (cosh 2) -1))) 1)) x)) (+.f64 (log.f64 (sqrt.f64 (expm1.f64 (.f64 (log.f64 x) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64))) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 2 binary64))))))))))) (/.f64 x (sqrt.f64 (expm1.f64 (.f64 (log.f64 x) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64))) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 2 binary64)))))))))))))
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#s(approx x x)
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Calls

3 calls:

Time	Variable		Point	Expression
26.0ms	x	@	inf	((log (+ (sqrt (- (pow x (+ (* (* (- (E) (/ 1 (E))) 1/2) (- (/ 1 (E)) (E))) (- (cosh 2) -1))) 1)) x)) (+ (sqrt (- (pow x (+ (* (* (- (E) (/ 1 (E))) 1/2) (- (/ 1 (E)) (E))) (- (cosh 2) -1))) 1)) x) (sqrt (- (pow x (+ (* (* (- (E) (/ 1 (E))) 1/2) (- (/ 1 (E)) (E))) (- (cosh 2) -1))) 1)) (- (pow x (+ (* (* (- (E) (/ 1 (E))) 1/2) (- (/ 1 (E)) (E))) (- (cosh 2) -1))) 1) (pow x (+ (* (* (- (E) (/ 1 (E))) 1/2) (- (/ 1 (E)) (E))) (- (cosh 2) -1))) x (+ (* (* (- (E) (/ 1 (E))) 1/2) (- (/ 1 (E)) (E))) (- (cosh 2) -1)) (* (- (E) (/ 1 (E))) 1/2) (- (E) (/ 1 (E))) (E) (/ 1 (E)) 1 1/2 (- (/ 1 (E)) (E)) (- (cosh 2) -1) (cosh 2) 2 -1)
9.0ms	x	@	-inf	((log (+ (sqrt (- (pow x (+ (* (* (- (E) (/ 1 (E))) 1/2) (- (/ 1 (E)) (E))) (- (cosh 2) -1))) 1)) x)) (+ (sqrt (- (pow x (+ (* (* (- (E) (/ 1 (E))) 1/2) (- (/ 1 (E)) (E))) (- (cosh 2) -1))) 1)) x) (sqrt (- (pow x (+ (* (* (- (E) (/ 1 (E))) 1/2) (- (/ 1 (E)) (E))) (- (cosh 2) -1))) 1)) (- (pow x (+ (* (* (- (E) (/ 1 (E))) 1/2) (- (/ 1 (E)) (E))) (- (cosh 2) -1))) 1) (pow x (+ (* (* (- (E) (/ 1 (E))) 1/2) (- (/ 1 (E)) (E))) (- (cosh 2) -1))) x (+ (* (* (- (E) (/ 1 (E))) 1/2) (- (/ 1 (E)) (E))) (- (cosh 2) -1)) (* (- (E) (/ 1 (E))) 1/2) (- (E) (/ 1 (E))) (E) (/ 1 (E)) 1 1/2 (- (/ 1 (E)) (E)) (- (cosh 2) -1) (cosh 2) 2 -1)
9.0ms	x	@	0	((log (+ (sqrt (- (pow x (+ (* (* (- (E) (/ 1 (E))) 1/2) (- (/ 1 (E)) (E))) (- (cosh 2) -1))) 1)) x)) (+ (sqrt (- (pow x (+ (* (* (- (E) (/ 1 (E))) 1/2) (- (/ 1 (E)) (E))) (- (cosh 2) -1))) 1)) x) (sqrt (- (pow x (+ (* (* (- (E) (/ 1 (E))) 1/2) (- (/ 1 (E)) (E))) (- (cosh 2) -1))) 1)) (- (pow x (+ (* (* (- (E) (/ 1 (E))) 1/2) (- (/ 1 (E)) (E))) (- (cosh 2) -1))) 1) (pow x (+ (* (* (- (E) (/ 1 (E))) 1/2) (- (/ 1 (E)) (E))) (- (cosh 2) -1))) x (+ (* (* (- (E) (/ 1 (E))) 1/2) (- (/ 1 (E)) (E))) (- (cosh 2) -1)) (* (- (E) (/ 1 (E))) 1/2) (- (E) (/ 1 (E))) (E) (/ 1 (E)) 1 1/2 (- (/ 1 (E)) (E)) (- (cosh 2) -1) (cosh 2) 2 -1)

Time

Variable

Point

Expression

26.0ms

inf

((log (+ (sqrt (- (pow x (+ (* (* (- (E) (/ 1 (E))) 1/2) (- (/ 1 (E)) (E))) (- (cosh 2) -1))) 1)) x)) (+ (sqrt (- (pow x (+ (* (* (- (E) (/ 1 (E))) 1/2) (- (/ 1 (E)) (E))) (- (cosh 2) -1))) 1)) x) (sqrt (- (pow x (+ (* (* (- (E) (/ 1 (E))) 1/2) (- (/ 1 (E)) (E))) (- (cosh 2) -1))) 1)) (- (pow x (+ (* (* (- (E) (/ 1 (E))) 1/2) (- (/ 1 (E)) (E))) (- (cosh 2) -1))) 1) (pow x (+ (* (* (- (E) (/ 1 (E))) 1/2) (- (/ 1 (E)) (E))) (- (cosh 2) -1))) x (+ (* (* (- (E) (/ 1 (E))) 1/2) (- (/ 1 (E)) (E))) (- (cosh 2) -1)) (* (- (E) (/ 1 (E))) 1/2) (- (E) (/ 1 (E))) (E) (/ 1 (E)) 1 1/2 (- (/ 1 (E)) (E)) (- (cosh 2) -1) (cosh 2) 2 -1)

9.0ms

-inf

((log (+ (sqrt (- (pow x (+ (* (* (- (E) (/ 1 (E))) 1/2) (- (/ 1 (E)) (E))) (- (cosh 2) -1))) 1)) x)) (+ (sqrt (- (pow x (+ (* (* (- (E) (/ 1 (E))) 1/2) (- (/ 1 (E)) (E))) (- (cosh 2) -1))) 1)) x) (sqrt (- (pow x (+ (* (* (- (E) (/ 1 (E))) 1/2) (- (/ 1 (E)) (E))) (- (cosh 2) -1))) 1)) (- (pow x (+ (* (* (- (E) (/ 1 (E))) 1/2) (- (/ 1 (E)) (E))) (- (cosh 2) -1))) 1) (pow x (+ (* (* (- (E) (/ 1 (E))) 1/2) (- (/ 1 (E)) (E))) (- (cosh 2) -1))) x (+ (* (* (- (E) (/ 1 (E))) 1/2) (- (/ 1 (E)) (E))) (- (cosh 2) -1)) (* (- (E) (/ 1 (E))) 1/2) (- (E) (/ 1 (E))) (E) (/ 1 (E)) 1 1/2 (- (/ 1 (E)) (E)) (- (cosh 2) -1) (cosh 2) 2 -1)

9.0ms

((log (+ (sqrt (- (pow x (+ (* (* (- (E) (/ 1 (E))) 1/2) (- (/ 1 (E)) (E))) (- (cosh 2) -1))) 1)) x)) (+ (sqrt (- (pow x (+ (* (* (- (E) (/ 1 (E))) 1/2) (- (/ 1 (E)) (E))) (- (cosh 2) -1))) 1)) x) (sqrt (- (pow x (+ (* (* (- (E) (/ 1 (E))) 1/2) (- (/ 1 (E)) (E))) (- (cosh 2) -1))) 1)) (- (pow x (+ (* (* (- (E) (/ 1 (E))) 1/2) (- (/ 1 (E)) (E))) (- (cosh 2) -1))) 1) (pow x (+ (* (* (- (E) (/ 1 (E))) 1/2) (- (/ 1 (E)) (E))) (- (cosh 2) -1))) x (+ (* (* (- (E) (/ 1 (E))) 1/2) (- (/ 1 (E)) (E))) (- (cosh 2) -1)) (* (- (E) (/ 1 (E))) 1/2) (- (E) (/ 1 (E))) (E) (/ 1 (E)) 1 1/2 (- (/ 1 (E)) (E)) (- (cosh 2) -1) (cosh 2) 2 -1)

rewrite247.0ms (4.7%)

Memory

12.2MiB live, 327.4MiB allocated; 57ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	160
0	32	160
1	188	144
2	634	116
3	3942	116
0	8179	116

Stop Event

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

Counts

18 → 749

Calls

Call 1

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

Outputs
(log.f64 (+.f64 (sqrt.f64 (-.f64 (pow.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)))) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))) x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (pow.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))))) (sqrt.f64 (-.f64 (pow.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (-.f64 (pow.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))))) (sqrt.f64 (-.f64 (pow.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (-.f64 (pow.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 x (neg.f64 (sqrt.f64 (-.f64 (pow.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))))))))
(/.f64 (-.f64 (*.f64 x x) (-.f64 (pow.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))) (+.f64 x (neg.f64 (sqrt.f64 (-.f64 (pow.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 x x) (-.f64 (pow.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))) (-.f64 x (sqrt.f64 (-.f64 (pow.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (-.f64 (pow.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (neg.f64 x))) (+.f64 (sqrt.f64 (-.f64 (pow.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))) (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (-.f64 (pow.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (-.f64 (pow.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 (-.f64 (pow.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (-.f64 (pow.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)) (fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (sqrt.f64 (-.f64 (pow.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))) (neg.f64 x)))))
(/.f64 (-.f64 (-.f64 (pow.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (sqrt.f64 (-.f64 (pow.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))) x))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (-.f64 (pow.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)) (-.f64 (.f64 x x) (.f64 (sqrt.f64 (-.f64 (pow.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))) x))))
(neg.f64 (-.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)))) x))
(neg.f64 (-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (pow.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)))))
(-.f64 (sqrt.f64 (-.f64 (pow.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))) (neg.f64 x))
(-.f64 x (neg.f64 (sqrt.f64 (-.f64 (pow.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)))))
(+.f64 (sqrt.f64 (-.f64 (pow.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))) x)
(+.f64 x (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))))))
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(fma.f64 (/.f64 (exp.f64 #s(literal 5/3 binary64)) #s(literal 2 binary64)) (exp.f64 #s(literal 1/3 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (E.f64) (E.f64))) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (exp.f64 #s(literal 5/3 binary64)) #s(literal 1 binary64)) (/.f64 (exp.f64 #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (E.f64) (E.f64))) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (neg.f64 (E.f64)) #s(literal 1 binary64)) (.f64 (neg.f64 (E.f64)) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (E.f64) (E.f64))) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal 2 binary64)) (exp.f64 #s(literal 4/3 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (E.f64) (E.f64))) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (exp.f64 #s(literal 4/3 binary64)) #s(literal 2 binary64)) (exp.f64 #s(literal 2/3 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (E.f64) (E.f64))) #s(literal 1/2 binary64)))
(fma.f64 (fabs.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64))) (fabs.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64))) (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64)))))
(fma.f64 (fabs.f64 (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64)))) (fabs.f64 (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64)))) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64))) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64))) (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64)))))
(fma.f64 (exp.f64 #s(literal 5/3 binary64)) (/.f64 (exp.f64 #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (E.f64) (E.f64))) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 #s(literal 4/3 binary64)) (/.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (E.f64) (E.f64))) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (E.f64)) (E.f64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (E.f64) (E.f64))) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (neg.f64 (E.f64)) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (E.f64)) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (E.f64) (E.f64))) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (E.f64) (E.f64))) (.f64 (E.f64) (E.f64))) #s(literal -1/2 binary64) (*.f64 #s(literal 0 binary64) (sinh.f64 #s(literal 2 binary64))))
(fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (E.f64) (E.f64))) (.f64 (E.f64) (E.f64))) #s(literal -1/2 binary64) (*.f64 #s(literal 0 binary64) (sinh.f64 #s(literal -2 binary64))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64)))) (.f64 #s(literal -1/2 binary64) (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64)))) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64))) (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64))) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64))))
(fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64))) (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64)))))
(fma.f64 (neg.f64 (E.f64)) (.f64 (neg.f64 (E.f64)) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (E.f64) (E.f64))) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 #s(literal 2/3 binary64)) (/.f64 (exp.f64 #s(literal 4/3 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (E.f64) (E.f64))) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (E.f64) (E.f64)) #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (E.f64) (E.f64))) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (E.f64) (E.f64) (/.f64 #s(literal 1 binary64) (.f64 (E.f64) (E.f64)))) #s(literal 1/2 binary64) (.f64 #s(literal 0 binary64) (sinh.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 (E.f64) (E.f64) (/.f64 #s(literal 1 binary64) (.f64 (E.f64) (E.f64)))) #s(literal 1/2 binary64) (.f64 #s(literal 0 binary64) (sinh.f64 #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (E.f64) (E.f64))) #s(literal 1/2 binary64) (.f64 (*.f64 (E.f64) (E.f64)) #s(literal 1/2 binary64)))
(fma.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal 1 binary64) (*.f64 (sinh.f64 #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal 1 binary64) (*.f64 (sinh.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal 1/2 binary64)) (.f64 #s(literal 0 binary64) (sinh.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) (.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal 1/2 binary64)) (.f64 #s(literal 0 binary64) (sinh.f64 #s(literal -2 binary64))))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (sinh.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (sinh.f64 #s(literal -2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (E.f64) (E.f64) (/.f64 #s(literal 1 binary64) (.f64 (E.f64) (E.f64)))) (.f64 #s(literal 0 binary64) (sinh.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (E.f64) (E.f64) (/.f64 #s(literal 1 binary64) (.f64 (E.f64) (E.f64)))) (.f64 #s(literal 0 binary64) (sinh.f64 #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (cosh.f64 #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (sinh.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (cosh.f64 #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (sinh.f64 #s(literal -2 binary64))))
(fma.f64 (E.f64) (.f64 #s(literal 1/2 binary64) (E.f64)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (E.f64) (E.f64))) #s(literal 1/2 binary64)))
(cosh.f64 #s(literal -2 binary64))
(cosh.f64 #s(literal 2 binary64))
(sqrt.f64 (/.f64 (+.f64 (cosh.f64 #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 (+.f64 (cosh.f64 #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(-.f64 (.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 (sinh.f64 #s(literal -2 binary64)) #s(literal 0 binary64)))
(-.f64 (.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 (sinh.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
(-.f64 (.f64 (.f64 (E.f64) (E.f64)) #s(literal 1/2 binary64)) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (E.f64) (E.f64))) #s(literal 1/2 binary64))))
(-.f64 (.f64 (.f64 (E.f64) (E.f64)) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (E.f64) (E.f64))) #s(literal 2 binary64)))
(-.f64 (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64))) (.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64)))) (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64)))))
(-.f64 (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64))) (neg.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64))) (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64))))))
(-.f64 (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64))) (*.f64 #s(literal -1/2 binary64) (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64))))))
(-.f64 (cosh.f64 #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (sinh.f64 #s(literal 2 binary64))))
(-.f64 (cosh.f64 #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (sinh.f64 #s(literal -2 binary64))))
(+.f64 (.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 (sinh.f64 #s(literal -2 binary64)) #s(literal 0 binary64)))
(+.f64 (.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 (sinh.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (E.f64) (E.f64))) #s(literal 1/2 binary64)) (.f64 (.f64 (E.f64) (E.f64)) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 (E.f64) (E.f64)) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (E.f64) (E.f64))) #s(literal 1/2 binary64)))
(+.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64))) (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64)))) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64))) (fma.f64 #s(literal 1/2 binary64) (E.f64) (/.f64 #s(literal -1/2 binary64) (E.f64)))))
(+.f64 (cosh.f64 #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (sinh.f64 #s(literal 2 binary64))))
(+.f64 (cosh.f64 #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (sinh.f64 #s(literal -2 binary64))))
#s(literal 2 binary64)
#s(literal -1 binary64)

eval194.0ms (3.7%)

Memory: -17.3MiB live, 313.7MiB allocated; 107ms collecting garbage
Compiler: Compiled 15 941 to 5 956 computations (62.6% saved)

prune13.0ms (0.3%)

Memory

41.5MiB live, 41.5MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	758	1	759
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	759	4	763

Accuracy

100.0%

Counts

763 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.3%	(log.f64 (+.f64 (sqrt.f64 (-.f64 (pow.f64 x (fma.f64 (fma.f64 (E.f64) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (cosh.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))) x))
✓	53.8%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓	98.0%	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 x x)))
✓	99.7%	(acosh.f64 x)

Compiler

Compiled 132 to 106 computations (19.7% saved)

regimes9.0ms (0.2%)

Memory

-29.6MiB live, 16.9MiB allocated; 2ms collecting garbage

Accuracy

Total -52.4b remaining (-29809.7%)

Threshold costs -52.4b (-29809.7%)

Counts

8 → 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 (+.f64 (sqrt.f64 (-.f64 (pow.f64 x (fma.f64 (fma.f64 (E.f64) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (cosh.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))) x))
(log.f64 (+.f64 (sqrt.f64 (-.f64 (pow.f64 x (fma.f64 (*.f64 (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64))) #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (cosh.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))) x))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 (pow.f64 x (+.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal 1 binary64))) (pow.f64 x (.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64)))) #s(literal 4 binary64))))) #s(literal 1 binary64)))))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (/.f64 (pow.f64 (.f64 x x) (.f64 (cosh.f64 #s(literal -1 binary64)) (cosh.f64 #s(literal -1 binary64)))) (pow.f64 (.f64 x x) (.f64 (sinh.f64 #s(literal 1 binary64)) (sinh.f64 #s(literal 1 binary64))))) #s(literal 1 binary64)))))

Outputs
(acosh.f64 x)

Calls

3 calls:

4.0ms	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 14 to 14 computations (0% saved)

derivations27.0ms (0.5%)

Memory

25.2MiB live, 25.1MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 2 to 2 computations (0% saved)

preprocess11.0ms (0.2%)

Memory: -38.0MiB live, 17.6MiB allocated; 6ms collecting garbage
Compiler: Compiled 9 to 9 computations (0% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze66.0ms (1.3%)

sample3.0s (58.2%)

preprocess85.0ms (1.6%)

series15.0ms (0.3%)

rewrite225.0ms (4.3%)

eval151.0ms (2.9%)

prune15.0ms (0.3%)

series106.0ms (2%)

rewrite231.0ms (4.4%)

eval172.0ms (3.3%)

prune23.0ms (0.4%)

series64.0ms (1.2%)

rewrite274.0ms (5.2%)

eval167.0ms (3.2%)

prune30.0ms (0.6%)

series53.0ms (1%)

rewrite247.0ms (4.7%)

eval194.0ms (3.7%)

prune13.0ms (0.3%)

regimes9.0ms (0.2%)

derivations27.0ms (0.5%)

preprocess11.0ms (0.2%)

end0.0ms (0%)

Profiling