Metrics for Rust f32::acosh

start0.0ms (0.0%)

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

analyze2.0ms (0.2%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	25.0%	75.0%	0.0%	0.0%	0.0%	0
100.0%	25.0%	0.0%	75.0%	0.0%	0.0%	0.0%	1

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample408.0ms (35.4%)

Memory

8.9MiB live, 470.3MiB allocated; 98ms collecting garbage

Samples

279.0ms	8 254×	0	valid
0.0ms	2×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 120.0ms

ival-acosh: 111.0ms (92.3% of total)

adjust: 9.0ms (7.5% of total)

Bogosity

preprocess51.0ms (4.4%)

Memory

-15.6MiB live, 29.8MiB allocated; 6ms 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	2316	9

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.6%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Compiler

Compiled 18 to 14 computations (22.2% saved)

series21.0ms (1.8%)

Memory

32.1MiB live, 32.1MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	193	925

Stop Event

1×	iter-limit

Counts

7 → 39

Calls

Call 1

Inputs
x
(*.f32 x x)
#s(literal 1 binary32)
(-.f32 (*.f32 x x) #s(literal 1 binary32))
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Outputs
#s(approx x x)
#s(approx (* x x) (pow.f32 x #s(literal 2 binary32)))
#s(approx (- (* x x) 1) #s(literal -1 binary32))
#s(approx (- (* x x) 1) (-.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1 binary32)))
#s(approx (sqrt (- (* x x) 1)) (sqrt.f32 #s(literal -1 binary32)))
#s(approx (sqrt (- (* x x) 1)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32))))))
#s(approx (sqrt (- (* x x) 1)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/8 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))))))
#s(approx (sqrt (- (* x x) 1)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/16 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x (sqrt.f32 #s(literal -1 binary32))))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (/.f32 x (sqrt.f32 #s(literal -1 binary32))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 (.f32 #s(literal -1/8 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 x (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (.f32 x (+.f32 (.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (.f32 x (+.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 3/40 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))))))
#s(approx (- (* x x) 1) (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
#s(approx (sqrt (- (* x x) 1)) (.f32 x (-.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (sqrt (- (* x x) 1)) (.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (sqrt (- (* x x) 1)) (.f32 x (-.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f32 x (-.f32 #s(literal 2 binary32) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f32 x (-.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))) (.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 3/32 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 3/32 binary32) (.f32 #s(literal 5/96 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))))) (.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
#s(approx (sqrt (- (* x x) 1)) (*.f32 #s(literal -1 binary32) x))
#s(approx (sqrt (- (* x x) 1)) (.f32 #s(literal -1 binary32) (.f32 x (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))))
#s(approx (sqrt (- (* x x) 1)) (.f32 #s(literal -1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32))))))))
#s(approx (sqrt (- (* x x) 1)) (.f32 #s(literal -1 binary32) (.f32 x (-.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 #s(literal 1/2 binary32) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))) #s(literal 1/2 binary32)) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/16 binary32) (.f32 #s(literal 5/128 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))) x)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) x))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) x)) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (.f32 #s(literal 5/32 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) x)) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 5/32 binary32) (.f32 #s(literal 11/96 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))

Calls

3 calls:

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

rewrite159.0ms (13.8%)

Memory

-22.8MiB live, 163.2MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

7 → 373

Calls

Call 1

Inputs
x
(*.f32 x x)
#s(literal 1 binary32)
(-.f32 (*.f32 x x) #s(literal 1 binary32))
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Outputs
x
(.f32 (pow.f32 (.f32 (*.f32 x x) (neg.f32 (fabs.f32 x))) #s(literal 1/2 binary32)) (pow.f32 (neg.f32 (fabs.f32 x)) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (.f32 (*.f32 x x) (fabs.f32 x)) #s(literal 1/2 binary32)) (pow.f32 (fabs.f32 x) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (.f32 (*.f32 x x) (neg.f32 x)) #s(literal 1/2 binary32)) (pow.f32 (neg.f32 x) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (.f32 (*.f32 x x) x) #s(literal 1/2 binary32)) (pow.f32 x #s(literal 1/2 binary32)))
(.f32 (pow.f32 (.f32 (neg.f32 x) (neg.f32 (fabs.f32 x))) #s(literal 1/2 binary32)) (pow.f32 (*.f32 (neg.f32 x) (neg.f32 (fabs.f32 x))) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (.f32 x (neg.f32 (fabs.f32 x))) #s(literal 1/2 binary32)) (pow.f32 (*.f32 x (neg.f32 (fabs.f32 x))) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (.f32 (neg.f32 x) (fabs.f32 x)) #s(literal 1/2 binary32)) (pow.f32 (*.f32 (neg.f32 x) (fabs.f32 x)) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (.f32 x (fabs.f32 x)) #s(literal 1/2 binary32)) (pow.f32 (*.f32 x (fabs.f32 x)) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (.f32 (neg.f32 (fabs.f32 x)) (neg.f32 x)) #s(literal 1/2 binary32)) (pow.f32 (*.f32 (neg.f32 (fabs.f32 x)) (neg.f32 x)) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (.f32 (fabs.f32 x) (neg.f32 x)) #s(literal 1/2 binary32)) (pow.f32 (*.f32 (fabs.f32 x) (neg.f32 x)) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (.f32 (neg.f32 (fabs.f32 x)) x) #s(literal 1/2 binary32)) (pow.f32 (*.f32 (neg.f32 (fabs.f32 x)) x) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (.f32 (fabs.f32 x) x) #s(literal 1/2 binary32)) (pow.f32 (*.f32 (fabs.f32 x) x) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (.f32 (neg.f32 x) x) #s(literal 1/2 binary32)) (pow.f32 (*.f32 (neg.f32 x) x) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (neg.f32 (fabs.f32 x)) (/.f32 #s(literal 2 binary32) #s(literal 2 binary32))) (pow.f32 (neg.f32 (fabs.f32 x)) (/.f32 #s(literal 2 binary32) #s(literal 2 binary32))))
(.f32 (pow.f32 (.f32 x x) (/.f32 #s(literal 1 binary32) #s(literal 2 binary32))) (pow.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) #s(literal 2 binary32))))
(.f32 (pow.f32 (.f32 x x) #s(literal 0 binary32)) (*.f32 x x))
(.f32 (pow.f32 (neg.f32 (fabs.f32 x)) #s(literal 1/2 binary32)) (pow.f32 (.f32 (neg.f32 (fabs.f32 x)) (*.f32 x x)) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (fabs.f32 x) #s(literal 1/2 binary32)) (pow.f32 (.f32 (fabs.f32 x) (*.f32 x x)) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (neg.f32 x) #s(literal 1/2 binary32)) (pow.f32 (.f32 (neg.f32 x) (*.f32 x x)) #s(literal 1/2 binary32)))
(.f32 (pow.f32 x #s(literal 1/2 binary32)) (pow.f32 (.f32 x (*.f32 x x)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (neg.f32 (fabs.f32 x)) #s(literal 1 binary32)) (pow.f32 (neg.f32 (fabs.f32 x)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (neg.f32 (fabs.f32 x)) #s(literal 1 binary32)) (neg.f32 (fabs.f32 x)))
(*.f32 (pow.f32 (fabs.f32 x) (/.f32 #s(literal 2 binary32) #s(literal 2 binary32))) (pow.f32 (fabs.f32 x) (/.f32 #s(literal 2 binary32) #s(literal 2 binary32))))
(*.f32 (pow.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) #s(literal 2 binary32))) (pow.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) #s(literal 2 binary32))))
(*.f32 (pow.f32 (fabs.f32 x) #s(literal 1 binary32)) (pow.f32 (fabs.f32 x) #s(literal 1 binary32)))
(*.f32 (pow.f32 (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x))
(*.f32 (pow.f32 (neg.f32 x) #s(literal 1 binary32)) (pow.f32 (neg.f32 x) #s(literal 1 binary32)))
(*.f32 (pow.f32 (neg.f32 x) #s(literal 1 binary32)) (neg.f32 x))
(*.f32 (pow.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 1 binary32)))
(*.f32 (pow.f32 x #s(literal 1 binary32)) x)
(*.f32 (pow.f32 x (/.f32 #s(literal 2 binary32) #s(literal 2 binary32))) (pow.f32 x (/.f32 #s(literal 2 binary32) #s(literal 2 binary32))))
(*.f32 (neg.f32 (fabs.f32 x)) (neg.f32 (fabs.f32 x)))
(*.f32 (fabs.f32 x) (fabs.f32 x))
(*.f32 (neg.f32 x) (neg.f32 x))
(.f32 (.f32 x x) (pow.f32 (neg.f32 (fabs.f32 x)) #s(literal 0 binary32)))
(.f32 (.f32 x x) (pow.f32 (fabs.f32 x) #s(literal 0 binary32)))
(.f32 (.f32 x x) (pow.f32 (neg.f32 x) #s(literal 0 binary32)))
(.f32 (.f32 x x) (pow.f32 x #s(literal 0 binary32)))
(.f32 (.f32 x x) (pow.f32 (*.f32 x x) #s(literal 0 binary32)))
(*.f32 x x)
(/.f32 (pow.f32 (.f32 x x) (.f32 (cosh.f32 #s(literal -1 binary32)) (cosh.f32 #s(literal -1 binary32)))) (pow.f32 (.f32 x x) (.f32 (sinh.f32 #s(literal 1 binary32)) (sinh.f32 #s(literal 1 binary32)))))
(/.f32 (pow.f32 (neg.f32 (fabs.f32 x)) #s(literal 3 binary32)) (pow.f32 (neg.f32 (fabs.f32 x)) #s(literal 1 binary32)))
(/.f32 (pow.f32 (.f32 x x) #s(literal 0 binary32)) (pow.f32 (.f32 x x) #s(literal -1 binary32)))
(/.f32 (pow.f32 (neg.f32 (fabs.f32 x)) #s(literal 1 binary32)) (pow.f32 (neg.f32 (fabs.f32 x)) #s(literal -1 binary32)))
(/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 1 binary32)))
(/.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (pow.f32 (neg.f32 x) #s(literal 1 binary32)))
(/.f32 (.f32 (.f32 (.f32 x x) x) x) (.f32 x x))
(/.f32 (pow.f32 (fabs.f32 x) #s(literal 1 binary32)) (pow.f32 (fabs.f32 x) #s(literal -1 binary32)))
(/.f32 (pow.f32 (neg.f32 x) #s(literal 1 binary32)) (pow.f32 (neg.f32 x) #s(literal -1 binary32)))
(/.f32 (pow.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal -1 binary32)))
(/.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 x #s(literal 1 binary32)))
(/.f32 (pow.f32 (.f32 x x) #s(literal 3 binary32)) (.f32 (.f32 (.f32 x x) x) x))
(/.f32 (fabs.f32 x) (pow.f32 (*.f32 x x) #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 (neg.f32 (fabs.f32 x)) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 (fabs.f32 x) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 (neg.f32 x) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 x x) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal -2 binary32)))
(/.f32 (.f32 x x) (pow.f32 (.f32 (.f32 (.f32 x x) x) x) #s(literal 0 binary32)))
(/.f32 (*.f32 x x) (pow.f32 (neg.f32 (fabs.f32 x)) #s(literal 0 binary32)))
(/.f32 (*.f32 x x) (pow.f32 (fabs.f32 x) #s(literal 0 binary32)))
(/.f32 (*.f32 x x) (pow.f32 (neg.f32 x) #s(literal 0 binary32)))
(/.f32 (*.f32 x x) (pow.f32 x #s(literal 0 binary32)))
(/.f32 (.f32 x x) (pow.f32 (.f32 x x) #s(literal 0 binary32)))
(sqrt.f32 (.f32 (.f32 (*.f32 x x) x) x))
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(.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (.f32 (-.f32 x #s(literal -1 binary32)) (-.f32 (*.f32 x x) #s(literal 1 binary32))) #s(literal 1/4 binary32)))
(.f32 (pow.f32 (-.f32 x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 (*.f32 x x) #s(literal 1 binary32))) #s(literal 1/4 binary32)))
(.f32 (pow.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) #s(literal 1/4 binary32)) (pow.f32 (.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) (-.f32 (*.f32 x x) #s(literal 1 binary32))) #s(literal 1/4 binary32)))
(.f32 (pow.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) #s(literal 1/4 binary32)))
(.f32 (pow.f32 (/.f32 (.f32 #s(literal 2 binary32) (-.f32 (*.f32 x x) #s(literal 1 binary32))) #s(literal 8 binary32)) #s(literal 1/2 binary32)) (pow.f32 #s(literal 4 binary32) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (/.f32 (.f32 #s(literal 2 binary32) (-.f32 (*.f32 x x) #s(literal 1 binary32))) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (pow.f32 #s(literal 2 binary32) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (fabs.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32)) (pow.f32 (fabs.f32 (-.f32 #s(literal -1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (fabs.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 1/2 binary32)) (pow.f32 (fabs.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (fabs.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) (pow.f32 (fabs.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (fabs.f32 (-.f32 #s(literal -1 binary32) x)) #s(literal 1/2 binary32)) (pow.f32 (fabs.f32 (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (fabs.f32 (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32)) (pow.f32 (fabs.f32 (-.f32 #s(literal -1 binary32) x)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (fabs.f32 (-.f32 x #s(literal 1 binary32))) #s(literal 1/2 binary32)) (pow.f32 (fabs.f32 (-.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (fabs.f32 (-.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32)) (pow.f32 (fabs.f32 (-.f32 x #s(literal 1 binary32))) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (.f32 #s(literal 2 binary32) (-.f32 (*.f32 x x) #s(literal 1 binary32))) #s(literal 1/2 binary32)) (pow.f32 #s(literal 1/2 binary32) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (sqrt.f32 (-.f32 #s(literal -1 binary32) (fabs.f32 x))))
(.f32 (sqrt.f32 (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))) (sqrt.f32 (neg.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))))
(*.f32 (pow.f32 (-.f32 #s(literal -1 binary32) (fabs.f32 x)) #s(literal 1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 1/2 binary32)) (pow.f32 (-.f32 #s(literal -1 binary32) (fabs.f32 x)) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) #s(literal 1/2 binary32)) (pow.f32 (neg.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) #s(literal 1/2 binary32)) (pow.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (sqrt.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (sqrt.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (-.f32 #s(literal -1 binary32) x)) (sqrt.f32 (-.f32 #s(literal 1 binary32) x)))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) x)) (sqrt.f32 (-.f32 #s(literal -1 binary32) x)))
(*.f32 (pow.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (-.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32)) (pow.f32 (-.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) #s(literal 2 binary32))) (pow.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) #s(literal 2 binary32))))
(*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (-.f32 x #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (-.f32 x #s(literal -1 binary32))) (sqrt.f32 (-.f32 x #s(literal 1 binary32))))
(*.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (-.f32 x #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (-.f32 x #s(literal -1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(/.f32 (sqrt.f32 (.f32 #s(literal 2 binary32) (-.f32 (.f32 x x) #s(literal 1 binary32)))) (sqrt.f32 #s(literal 2 binary32)))
(/.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) (pow.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)) #s(literal 0 binary32)))
(/.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
(pow.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 1/4 binary32))
(pow.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) #s(literal 1/2 binary32))
(fabs.f32 (neg.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(fabs.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
(exp.f32 (.f32 (log.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) #s(literal 1/2 binary32)))
(neg.f32 (neg.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(.f32 (-.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))) (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
(.f32 (+.f32 #s(literal 1 binary32) (/.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))) (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
(.f32 (-.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) x)) x)
(.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) x)) x)
(/.f32 (-.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)) (.f32 x x)) (+.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) (neg.f32 x)))
(/.f32 (-.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)) (.f32 x x)) (-.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) x))
(/.f32 (-.f32 (pow.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (neg.f32 x) #s(literal 3 binary32))) (+.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)) (+.f32 (.f32 x x) (.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) (neg.f32 x)))))
(/.f32 (+.f32 (pow.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (+.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)) (-.f32 (.f32 x x) (.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) x))))
(/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) #s(literal 3 binary32))) (+.f32 (.f32 x x) (+.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)) (.f32 x (neg.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))))))
(/.f32 (-.f32 (.f32 x x) (-.f32 (.f32 x x) #s(literal 1 binary32))) (+.f32 x (neg.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))))
(/.f32 (-.f32 (.f32 x x) (-.f32 (.f32 x x) #s(literal 1 binary32))) (-.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) #s(literal 3 binary32))) (+.f32 (.f32 x x) (-.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)) (.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))))
(-.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) (neg.f32 x))
(-.f32 x (neg.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) x)
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
(neg.f32 (-.f32 (neg.f32 x) (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(acosh.f32 x)
(log.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) x))

eval45.0ms (3.9%)

Memory: 32.8MiB live, 77.9MiB allocated; 5ms collecting garbage
Compiler: Compiled 7 390 to 2 171 computations (70.6% saved)

prune8.0ms (0.7%)

Memory

-32.2MiB live, 14.6MiB allocated; 3ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	403	3	406
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	404	3	407

Accuracy

100.0%

Counts

407 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.6%	(log.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))) (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
▶	95.5%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
▶	99.4%	(acosh.f32 x)

Status

Accuracy

Program

▶

50.6%

(log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

▶

95.5%

(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))

▶

99.4%

(acosh.f32 x)

Compiler

Compiled 33 to 21 computations (36.4% saved)

series21.0ms (1.8%)

Memory

29.5MiB live, 29.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	282	1421

Stop Event

1×	iter-limit

Counts

14 → 61

Calls

Call 1

Inputs
x
(acosh.f32 x)
#s(literal 2 binary32)
(*.f32 #s(literal 2 binary32) x)
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
#s(literal 1 binary32)
(*.f32 x x)
(-.f32 (*.f32 x x) #s(literal 1 binary32))
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
(/.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) (/.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(.f32 (+.f32 #s(literal 1 binary32) (/.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))) (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
(log.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))) (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Outputs
#s(approx x x)
#s(approx (acosh x) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
#s(approx (acosh x) (+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 x (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (acosh x) (+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (.f32 x (+.f32 (.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))))))
#s(approx (acosh x) (+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (.f32 x (+.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 3/40 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))))))
#s(approx (* 2 x) (*.f32 #s(literal 2 binary32) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (sqrt.f32 #s(literal -1 binary32)))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x (sqrt.f32 #s(literal -1 binary32))))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (/.f32 x (sqrt.f32 #s(literal -1 binary32))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 (.f32 #s(literal -1/8 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))))))))
#s(approx (* x x) (pow.f32 x #s(literal 2 binary32)))
#s(approx (- (* x x) 1) #s(literal -1 binary32))
#s(approx (- (* x x) 1) (-.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1 binary32)))
#s(approx (sqrt (- (* x x) 1)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32))))))
#s(approx (sqrt (- (* x x) 1)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/8 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))))))
#s(approx (sqrt (- (* x x) 1)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/16 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))))))
#s(approx (/ x (sqrt (- (* x x) 1))) (/.f32 x (sqrt.f32 #s(literal -1 binary32))))
#s(approx (/ x (sqrt (- (* x x) 1))) (.f32 x (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))))
#s(approx (/ x (sqrt (- (* x x) 1))) (.f32 x (+.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 3/8 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))))
#s(approx (/ x (sqrt (- (* x x) 1))) (.f32 x (+.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -5/16 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 7 binary32)))) (.f32 #s(literal 3/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))))
#s(approx (+ 1 (/ x (sqrt (- (* x x) 1)))) #s(literal 1 binary32))
#s(approx (+ 1 (/ x (sqrt (- (* x x) 1)))) (+.f32 #s(literal 1 binary32) (/.f32 x (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (+ 1 (/ x (sqrt (- (* x x) 1)))) (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))))))
#s(approx (+ 1 (/ x (sqrt (- (* x x) 1)))) (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 3/8 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))))))
#s(approx (acosh x) (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))))
#s(approx (acosh x) (-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))) (.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
#s(approx (acosh x) (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 3/32 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (acosh x) (-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 3/32 binary32) (.f32 #s(literal 5/96 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))))) (.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f32 x (-.f32 #s(literal 2 binary32) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f32 x (-.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (- (* x x) 1) (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
#s(approx (sqrt (- (* x x) 1)) (.f32 x (-.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (sqrt (- (* x x) 1)) (.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (sqrt (- (* x x) 1)) (.f32 x (-.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (/ x (sqrt (- (* x x) 1))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
#s(approx (/ x (sqrt (- (* x x) 1))) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 3/8 binary32) (pow.f32 x #s(literal 4 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (/ x (sqrt (- (* x x) 1))) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 3/8 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) (.f32 #s(literal 5/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))))))))
#s(approx (+ 1 (/ x (sqrt (- (* x x) 1)))) #s(literal 2 binary32))
#s(approx (+ 1 (/ x (sqrt (- (* x x) 1)))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
#s(approx (+ 1 (/ x (sqrt (- (* x x) 1)))) (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 3/8 binary32) (pow.f32 x #s(literal 4 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (+ 1 (/ x (sqrt (- (* x x) 1)))) (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 3/8 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) (.f32 #s(literal 5/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))))))))
#s(approx (acosh x) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) x))))
#s(approx (acosh x) (-.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) x))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
#s(approx (acosh x) (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) x)) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (.f32 #s(literal 5/32 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (acosh x) (-.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) x)) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 5/32 binary32) (.f32 #s(literal 11/96 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 #s(literal 1/2 binary32) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))) #s(literal 1/2 binary32)) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/16 binary32) (.f32 #s(literal 5/128 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))) x)))
#s(approx (sqrt (- (* x x) 1)) (*.f32 #s(literal -1 binary32) x))
#s(approx (sqrt (- (* x x) 1)) (.f32 #s(literal -1 binary32) (.f32 x (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))))
#s(approx (sqrt (- (* x x) 1)) (.f32 #s(literal -1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32))))))))
#s(approx (sqrt (- (* x x) 1)) (.f32 #s(literal -1 binary32) (.f32 x (-.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))))
#s(approx (/ x (sqrt (- (* x x) 1))) (.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (/ x (sqrt (- (* x x) 1))) (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 3/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))) #s(literal 1 binary32)))
#s(approx (/ x (sqrt (- (* x x) 1))) (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 3/8 binary32) (.f32 #s(literal 5/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (+ 1 (/ x (sqrt (- (* x x) 1)))) (/.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal 2 binary32))))
#s(approx (+ 1 (/ x (sqrt (- (* x x) 1)))) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 3/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))))
#s(approx (+ 1 (/ x (sqrt (- (* x x) 1)))) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 3/8 binary32) (.f32 #s(literal 5/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))) #s(literal 1/2 binary32)) (pow.f32 x #s(literal 2 binary32))))
#s(approx (+ 1 (/ x (sqrt (- (* x x) 1)))) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 5/16 binary32) (.f32 #s(literal 35/128 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 3/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))) (pow.f32 x #s(literal 2 binary32))))

Calls

3 calls:

Time	Variable	Point
3.0ms	x	inf
2.0ms	x	-inf
2.0ms	x	0

rewrite163.0ms (14.2%)

Memory

-5.4MiB live, 184.9MiB allocated; 53ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	100
0	28	75
1	113	75
2	381	75
3	1534	75
0	4092	75

Stop Event

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

Counts

14 → 633

Calls

Call 1

Inputs
x
(acosh.f32 x)
#s(literal 2 binary32)
(*.f32 #s(literal 2 binary32) x)
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
#s(literal 1 binary32)
(*.f32 x x)
(-.f32 (*.f32 x x) #s(literal 1 binary32))
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
(/.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) (/.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(.f32 (+.f32 #s(literal 1 binary32) (/.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))) (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
(log.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))) (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Outputs
x
(acosh.f32 x)
(log.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) x))
(-.f32 (log.f32 (/.f32 (+.f32 (.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (-.f32 (.f32 x x) #s(literal 1 binary32))) #s(literal 1 binary32))) (log.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))))
(-.f32 (log.f32 (.f32 (-.f32 (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) x) (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))) (log.f32 (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))))
(-.f32 (log.f32 (.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) (-.f32 (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) x))) (log.f32 (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))))
(-.f32 (log.f32 (neg.f32 (+.f32 (.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (-.f32 (.f32 x x) #s(literal 1 binary32))))) (log.f32 (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))))
(-.f32 (acosh.f32 x) (log.f32 #s(literal 1 binary32)))
(-.f32 (log.f32 (+.f32 (.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (-.f32 (.f32 x x) #s(literal 1 binary32)))) (log.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))))
(+.f32 (log.f32 #s(literal 1 binary32)) (acosh.f32 x))
(+.f32 (acosh.f32 x) (log.f32 #s(literal 1 binary32)))
(+.f32 (log.f32 (+.f32 (.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (-.f32 (.f32 x x) #s(literal 1 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))))
(+.f32 (log.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (log.f32 (-.f32 (/.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) #s(literal -1 binary32))))
(+.f32 (log.f32 (-.f32 (/.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) #s(literal -1 binary32))) (log.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))))
#s(literal 2 binary32)
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) x)) x)
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 x x)) x)
(*.f32 (+.f32 x x) #s(literal 1 binary32))
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 1 binary32) (+.f32 x x))
(*.f32 x #s(literal 2 binary32))
(/.f32 (+.f32 (.f32 (.f32 (neg.f32 x) (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))) (.f32 (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (.f32 (neg.f32 x) (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))))) (-.f32 (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (+.f32 (.f32 (.f32 (neg.f32 x) (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (.f32 (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))))) (.f32 (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(/.f32 (+.f32 (.f32 (.f32 (neg.f32 x) (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))) (.f32 (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) (neg.f32 x)))) (-.f32 (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (+.f32 (.f32 (.f32 (neg.f32 x) (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (.f32 (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) x))) (.f32 (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(/.f32 (+.f32 (.f32 (.f32 (neg.f32 x) (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) #s(literal 2 binary32)) (.f32 (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (+.f32 x x))) (.f32 (neg.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #s(literal 2 binary32)))
(/.f32 (+.f32 (.f32 (.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))) (.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) (.f32 (neg.f32 x) (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))))) (.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) (neg.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))))
(/.f32 (+.f32 (.f32 (.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) (.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))))) (-.f32 (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (+.f32 (.f32 (.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))) (.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) (.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) (neg.f32 x)))) (.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) (neg.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))))
(/.f32 (+.f32 (.f32 (.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) (.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) x))) (-.f32 (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (+.f32 (.f32 (.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) #s(literal 2 binary32)) (.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) (+.f32 x x))) (.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #s(literal 2 binary32)))
(/.f32 (+.f32 (.f32 (.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) (neg.f32 x)) (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))) (.f32 (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (.f32 (neg.f32 x) (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))))) (-.f32 (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (+.f32 (.f32 (.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) (neg.f32 x)) (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (.f32 (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))))) (.f32 (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(/.f32 (+.f32 (.f32 (.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) (neg.f32 x)) (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))) (.f32 (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) (neg.f32 x)))) (-.f32 (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (+.f32 (.f32 (.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) (neg.f32 x)) (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (.f32 (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) x))) (.f32 (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
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(/.f32 (+.f32 (.f32 (.f32 (neg.f32 x) (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) #s(literal 2 binary32)) (.f32 (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) #s(literal 2 binary32)))) (.f32 (neg.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #s(literal 2 binary32)))
(/.f32 (+.f32 (.f32 (.f32 (neg.f32 x) (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) #s(literal 2 binary32)) (.f32 (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (.f32 #s(literal 2 binary32) (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))))) (.f32 (neg.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #s(literal 2 binary32)))
(/.f32 (+.f32 (.f32 (.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) #s(literal 2 binary32)) (.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) (.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) #s(literal 2 binary32)))) (.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #s(literal 2 binary32)))
(/.f32 (+.f32 (.f32 (.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) #s(literal 2 binary32)) (.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) (.f32 #s(literal 2 binary32) (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))))) (.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #s(literal 2 binary32)))
(/.f32 (+.f32 (.f32 (.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) (neg.f32 x)) #s(literal 2 binary32)) (.f32 (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) #s(literal 2 binary32)))) (.f32 (neg.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #s(literal 2 binary32)))
(/.f32 (+.f32 (.f32 (.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) (neg.f32 x)) #s(literal 2 binary32)) (.f32 (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (.f32 #s(literal 2 binary32) (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))))) (.f32 (neg.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #s(literal 2 binary32)))
(/.f32 (+.f32 (.f32 (.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) x) #s(literal 2 binary32)) (.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) (.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) #s(literal 2 binary32)))) (.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #s(literal 2 binary32)))
(/.f32 (+.f32 (.f32 (.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) x) #s(literal 2 binary32)) (.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) (.f32 #s(literal 2 binary32) (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))))) (.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #s(literal 2 binary32)))
(/.f32 (+.f32 (.f32 (+.f32 x x) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) #s(literal 2 binary32)))) #s(literal 4 binary32))
(/.f32 (+.f32 (.f32 (+.f32 x x) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))))) #s(literal 4 binary32))
(/.f32 (-.f32 (.f32 (.f32 (neg.f32 x) (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) #s(literal 2 binary32)) (.f32 (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (.f32 #s(literal 2 binary32) (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))))) (.f32 (neg.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #s(literal 2 binary32)))
(/.f32 (-.f32 (.f32 (.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) #s(literal 2 binary32)) (.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) (.f32 #s(literal 2 binary32) (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))))) (.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #s(literal 2 binary32)))
(/.f32 (-.f32 (.f32 (.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) (neg.f32 x)) #s(literal 2 binary32)) (.f32 (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (.f32 #s(literal 2 binary32) (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))))) (.f32 (neg.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #s(literal 2 binary32)))
(/.f32 (-.f32 (.f32 (.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) x) #s(literal 2 binary32)) (.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) (.f32 #s(literal 2 binary32) (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))))) (.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #s(literal 2 binary32)))
(/.f32 (-.f32 (.f32 (+.f32 x x) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))))) #s(literal 4 binary32))
(/.f32 (neg.f32 (/.f32 (+.f32 (.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (-.f32 (.f32 x x) #s(literal 1 binary32))) #s(literal 1 binary32))) (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (-.f32 (.f32 x x) #s(literal 1 binary32))))) (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))
(/.f32 (/.f32 (+.f32 (.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (-.f32 (.f32 x x) #s(literal 1 binary32))) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))
(/.f32 (.f32 (-.f32 (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) x) (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))))
(/.f32 (.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) (-.f32 (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) x)) (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))))
(/.f32 (-.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)) (.f32 x x)) (+.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) (neg.f32 x)))
(/.f32 (-.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)) (.f32 x x)) (-.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) x))
(/.f32 (-.f32 (pow.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (neg.f32 x) #s(literal 3 binary32))) (+.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)) (+.f32 (.f32 x x) (.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) (neg.f32 x)))))
(/.f32 (neg.f32 (+.f32 (.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (-.f32 (.f32 x x) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))))
(/.f32 (+.f32 (.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (-.f32 (.f32 x x) #s(literal 1 binary32))) (.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))))
(/.f32 (+.f32 (.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (-.f32 (.f32 x x) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))
(/.f32 (+.f32 (pow.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (+.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)) (-.f32 (.f32 x x) (.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) x))))
(/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) #s(literal 3 binary32))) (+.f32 (.f32 x x) (+.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)) (.f32 x (neg.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))))))
(/.f32 (-.f32 (neg.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) x) #s(literal -1 binary32))
(/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) x) #s(literal 1 binary32))
(/.f32 (-.f32 (.f32 x x) (-.f32 (.f32 x x) #s(literal 1 binary32))) (+.f32 x (neg.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))))
(/.f32 (-.f32 (.f32 x x) (-.f32 (.f32 x x) #s(literal 1 binary32))) (-.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) #s(literal 3 binary32))) (+.f32 (.f32 x x) (-.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)) (.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) (+.f32 (.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (-.f32 (.f32 x x) #s(literal 1 binary32)))))
(-.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) (.f32 (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (/.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))))
(-.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) (.f32 (/.f32 (neg.f32 x) (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))))
(-.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) (neg.f32 x))
(-.f32 x (neg.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) x)
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
(neg.f32 (-.f32 (neg.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) x))
(acosh.f32 x)
(log.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) x))
(-.f32 (log.f32 (/.f32 (+.f32 (.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (-.f32 (.f32 x x) #s(literal 1 binary32))) #s(literal 1 binary32))) (log.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))))
(-.f32 (log.f32 (.f32 (-.f32 (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) x) (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))) (log.f32 (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))))
(-.f32 (log.f32 (.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) (-.f32 (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) x))) (log.f32 (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))))
(-.f32 (log.f32 (neg.f32 (+.f32 (.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (-.f32 (.f32 x x) #s(literal 1 binary32))))) (log.f32 (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))))
(-.f32 (acosh.f32 x) (log.f32 #s(literal 1 binary32)))
(-.f32 (log.f32 (+.f32 (.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (-.f32 (.f32 x x) #s(literal 1 binary32)))) (log.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))))
(+.f32 (log.f32 #s(literal 1 binary32)) (acosh.f32 x))
(+.f32 (acosh.f32 x) (log.f32 #s(literal 1 binary32)))
(+.f32 (log.f32 (+.f32 (.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (-.f32 (.f32 x x) #s(literal 1 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))))
(+.f32 (log.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (log.f32 (-.f32 (/.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) #s(literal -1 binary32))))
(+.f32 (log.f32 (-.f32 (/.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) #s(literal -1 binary32))) (log.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))))

eval74.0ms (6.4%)

Memory: -0.8MiB live, 127.9MiB allocated; 26ms collecting garbage
Compiler: Compiled 21 787 to 3 691 computations (83.1% saved)

prune6.0ms (0.5%)

Memory

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

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	671	1	672
Fresh	0	0	0
Picked	3	0	3
Done	-2	2	0
Total	672	3	675

Accuracy

100.0%

Counts

675 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.6%	(log.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))) (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
▶	95.5%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x)))
✓	99.4%	(acosh.f32 x)

Status

Accuracy

Program

✓

50.6%

(log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

▶

95.5%

(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x)))

✓

99.4%

(acosh.f32 x)

Compiler

Compiled 33 to 20 computations (39.4% saved)

series9.0ms (0.8%)

Memory

12.0MiB live, 12.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	618

Stop Event

1×	iter-limit

Counts

4 → 25

Calls

Call 1

Inputs
x
(+.f32 x x)
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x)))

Outputs
#s(approx x x)
#s(approx (+ x x) (*.f32 #s(literal 2 binary32) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (sqrt.f32 #s(literal -1 binary32)))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x (sqrt.f32 #s(literal -1 binary32))))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (/.f32 x (sqrt.f32 #s(literal -1 binary32))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 (.f32 #s(literal -1/8 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 x (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (.f32 x (+.f32 (.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (.f32 x (+.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 3/40 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f32 x (-.f32 #s(literal 2 binary32) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f32 x (-.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))) (.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 3/32 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 3/32 binary32) (.f32 #s(literal 5/96 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))))) (.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 #s(literal 1/2 binary32) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))) #s(literal 1/2 binary32)) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/16 binary32) (.f32 #s(literal 5/128 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))) x)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) x))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) x)) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (.f32 #s(literal 5/32 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) x)) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 5/32 binary32) (.f32 #s(literal 11/96 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))

Calls

3 calls:

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

rewrite152.0ms (13.2%)

Memory

-10.6MiB live, 142.7MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
0	11	29
1	76	29
2	231	29
3	765	29
4	3251	29
0	4142	29

Stop Event

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

Counts

4 → 24

Calls

Call 1

Inputs
x
(+.f32 x x)
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x)))

Outputs
x
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) x)) x)
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 x x)) x)
(*.f32 #s(literal 2 binary32) x)
(*.f32 (+.f32 x x) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (+.f32 x x))
(*.f32 x #s(literal 2 binary32))
(/.f32 (*.f32 x #s(literal 8 binary32)) #s(literal 4 binary32))
(/.f32 (*.f32 #s(literal 8 binary32) x) #s(literal 4 binary32))
(/.f32 (*.f32 #s(literal 4 binary32) x) #s(literal 2 binary32))
(/.f32 (*.f32 x #s(literal 4 binary32)) #s(literal 2 binary32))
(/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (neg.f32 x) #s(literal 3 binary32))) (+.f32 (.f32 x x) (+.f32 (.f32 x x) (*.f32 (neg.f32 x) x))))
(/.f32 (-.f32 (.f32 x x) (.f32 x x)) (+.f32 x (neg.f32 x)))
(/.f32 (-.f32 (.f32 x x) (.f32 x x)) (-.f32 x x))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (+.f32 (.f32 x x) (-.f32 (.f32 x x) (*.f32 x x))))
(-.f32 x (*.f32 #s(literal -1 binary32) x))
(-.f32 x (*.f32 (neg.f32 x) #s(literal 1 binary32)))
(-.f32 x (neg.f32 x))
(+.f32 (+.f32 x x) (*.f32 x #s(literal 0 binary32)))
(+.f32 (+.f32 x x) (*.f32 #s(literal 0 binary32) x))
(+.f32 x x)
(neg.f32 (*.f32 #s(literal -2 binary32) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x)))

eval4.0ms (0.3%)

Memory: 8.4MiB live, 8.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 016 to 262 computations (74.2% saved)

prune2.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	0	0
Picked	1	0	1
Done	-1	3	2
Total	46	3	49

Accuracy

100.0%

Counts

49 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.6%	(log.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))) (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	95.5%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x)))
✓	99.4%	(acosh.f32 x)

Status

Accuracy

Program

✓

50.6%

(log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

✓

95.5%

(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x)))

✓

99.4%

(acosh.f32 x)

Compiler

Compiled 33 to 20 computations (39.4% saved)

regimes11.0ms (1.0%)

Memory

-30.8MiB live, 14.8MiB allocated; 6ms collecting garbage

Counts

5 → 1

Calls

Call 1

Inputs
(acosh.f32 x)
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x)))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(log.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))) (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Outputs
(acosh.f32 x)

Calls

3 calls:

6.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
2.0ms	x
2.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))

Results

Accuracy	Segments	Branch
99.4%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`
99.4%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
99.4%	1	`x`

Compiler

Compiled 73 to 38 computations (47.9% saved)

derivations12.0ms (1.1%)

Memory

17.0MiB live, 17.0MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 2 to 2 computations (0.0% saved)

preprocess5.0ms (0.4%)

Memory: 10.0MiB live, 10.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 11 to 9 computations (18.2% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze2.0ms (0.2%)

sample408.0ms (35.4%)

preprocess51.0ms (4.4%)

series21.0ms (1.8%)

rewrite159.0ms (13.8%)

eval45.0ms (3.9%)

prune8.0ms (0.7%)

series21.0ms (1.8%)

rewrite163.0ms (14.2%)

eval74.0ms (6.4%)

prune6.0ms (0.5%)

series9.0ms (0.8%)

rewrite152.0ms (13.2%)

eval4.0ms (0.3%)

prune2.0ms (0.1%)

regimes11.0ms (1.0%)

derivations12.0ms (1.1%)

preprocess5.0ms (0.4%)

end0.0ms (0.0%)

Profiling