Metrics for Rust f64::acosh

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
100%	25%	0%	75%	0%	0%	0%	1

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample581.0ms (61.5%)

Memory

15.3MiB live, 811.2MiB allocated; 220ms collecting garbage

Samples

373.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 247.0ms

ival-acosh: 245.0ms (99.3% of total)

adjust: 1.0ms (0.4% of total)

Bogosity

preprocess61.0ms (6.4%)

Memory

-34.7MiB live, 64.2MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	16	9
2	59	9
3	138	9
4	370	9
5	2314	9

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.1%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))

Compiler

Compiled 14 to 14 computations (0% saved)

series12.0ms (1.3%)

Memory

21.1MiB live, 21.1MiB 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)

rewrite48.0ms (5.1%)

Memory

1.0MiB live, 46.6MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	33
0	12	20
1	67	20
0	608	19

Stop Event

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

Counts

7 → 121

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)
(-.f64 (log.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(-.f64 (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)) (.f64 (.f64 x x) x))) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))))
(+.f64 (log.f64 (+.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) #s(literal 1 binary64))) (log.f64 x))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 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 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) #s(literal 1 binary64)) x)
(.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(.f64 (fma.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 #s(literal 1 binary64) (-.f64 (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))) (.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))))
(*.f64 x (+.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) #s(literal 1 binary64)))
(/.f64 (-.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 (.f64 x x) x) (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 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)) (.f64 (.f64 x x) x))) (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))))
(/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (fma.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 (fma.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 (fma.f64 x x #s(literal -1 binary64))) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))) (.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)) (.f64 (*.f64 x x) x))))
(neg.f64 (-.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) x))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) x)
(fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))) x)
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (fabs.f64 x) x)
(fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 (.f64 x x) #s(literal 1/2 binary64)) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.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 (/.f64 (.f64 (.f64 x x) x) (-.f64 (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))) (.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))) (/.f64 (.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)
(+.f64 x (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
x
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (fabs.f64 x))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (-.f64 (exp.f64 (acosh.f64 x)) (exp.f64 (neg.f64 (acosh.f64 x)))) #s(literal 2 binary64))
(sinh.f64 (acosh.f64 (fabs.f64 x)))
(sinh.f64 (acosh.f64 (neg.f64 x)))
(sinh.f64 (acosh.f64 x))
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(fabs.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x)
(*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (-.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) (*.f64 x x))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
(*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 x x))
(.f64 (fma.f64 (.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (*.f64 x x) x) x (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(pow.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64))
(pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 x x) x) x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 x x) x) x (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) x) x (fma.f64 x x #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1 binary64))))
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 x (*.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 x x #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (/.f64 (.f64 (.f64 (*.f64 x x) x) x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 x x) x) x (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (*.f64 x x) x) x (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(fabs.f64 (fma.f64 x x #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (*.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 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 x (.f64 x #s(literal 1 binary64)))
(*.f64 x x)
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(neg.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(literal 1 binary64)

eval20.0ms (2.1%)

Memory: -12.5MiB live, 33.1MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 498 to 745 computations (50.3% saved)

prune3.0ms (0.3%)

Memory

5.3MiB live, 5.3MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	154	2	156
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	155	2	157

Accuracy

100.0%

Counts

157 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
▶	99.7%	(acosh.f64 x)

Compiler

Compiled 12 to 12 computations (0% saved)

series7.0ms (0.7%)

Memory

11.5MiB live, 11.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	153	532

Stop Event

1×	iter-limit

Counts

6 → 25

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) 2)
1.0ms	x	@	inf	((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) 2)
1.0ms	x	@	0	((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) 2)

Time

Variable

Point

Expression

1.0ms

-inf

((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) 2)

1.0ms

inf

((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) 2)

1.0ms

((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) 2)

rewrite47.0ms (5%)

Memory

-2.7MiB live, 43.3MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	32
0	14	26
1	71	26
0	633	26

Stop Event

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

Counts

6 → 20

Calls

Call 1

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

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

eval4.0ms (0.5%)

Memory: 7.2MiB live, 7.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 425 to 233 computations (45.2% saved)

prune2.0ms (0.2%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	42	2	44

Accuracy

100.0%

Counts

44 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 x x)))
✓	99.7%	(acosh.f64 x)

Compiler

Compiled 11 to 11 computations (0% saved)

series6.0ms (0.6%)

Memory

7.2MiB live, 7.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	616

Stop Event

1×	iter-limit

Counts

4 → 25

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ x x) x)
1.0ms	x	@	inf	((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ x x) x)
0.0ms	x	@	0	((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ x x) x)

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

inf

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

0.0ms

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

rewrite121.0ms (12.8%)

Memory

-23.7MiB live, 25.5MiB allocated; 129ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
0	11	23
0	77	23

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

4 → 9

Calls

Call 1

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

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

eval3.0ms (0.3%)

Memory: 6.5MiB live, 6.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 400 to 191 computations (52.3% saved)

prune2.0ms (0.2%)

Memory

3.7MiB live, 3.7MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	30	0	30
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	30	2	32

Accuracy

100.0%

Counts

32 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.4%	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 x x)))
✓	99.7%	(acosh.f64 x)

Compiler

Compiled 35 to 31 computations (11.4% saved)

regimes5.0ms (0.6%)

Memory

9.5MiB live, 9.5MiB allocated; 0ms collecting garbage

Accuracy

Total -28.8b remaining (-15665%)

Threshold costs -28.8b (-15665%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(acosh.f64 x)

Calls

3 calls:

2.0ms	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)

derivations3.0ms (0.4%)

Memory

4.9MiB live, 4.9MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 2 to 2 computations (0% saved)

preprocess20.0ms (2.1%)

Memory: -26.6MiB live, 25.1MiB allocated; 7ms collecting garbage
Compiler: Compiled 19 to 18 computations (5.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample581.0ms (61.5%)

preprocess61.0ms (6.4%)

series12.0ms (1.3%)

rewrite48.0ms (5.1%)

eval20.0ms (2.1%)

prune3.0ms (0.3%)

series7.0ms (0.7%)

rewrite47.0ms (5%)

eval4.0ms (0.5%)

prune2.0ms (0.2%)

series6.0ms (0.6%)

rewrite121.0ms (12.8%)

eval3.0ms (0.3%)

prune2.0ms (0.2%)

regimes5.0ms (0.6%)

derivations3.0ms (0.4%)

preprocess20.0ms (2.1%)

end0.0ms (0%)

Profiling