Metrics for Rust f32::acosh

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory

0.7MiB live, 0.7MiB 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)

sample486.0ms (33.4%)

Memory

12.7MiB live, 999.7MiB allocated; 199ms collecting garbage

Samples

341.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 176.0ms

ival-acosh: 174.0ms (99.1% of total)

adjust: 2.0ms (1.1% of total)

Bogosity

preprocess72.0ms (5.0%)

Memory

-16.8MiB live, 86.2MiB allocated; 41ms 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
▶	52.1%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
1

Outputs
#s(literal 1 binary32)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series16.0ms (1.1%)

Memory

43.6MiB live, 43.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	193	924

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)) (fma.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)) (fma.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 (fma.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 (fma.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 (fma.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)) (fma.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)) (fma.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

rewrite241.0ms (16.5%)

Memory

-56.0MiB live, 294.9MiB allocated; 121ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

7 → 637

Calls

Call 1

Inputs
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)))
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(fma.f32 x (-.f32 x #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) x))
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(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))
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(neg.f32 (-.f32 (neg.f32 x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(acosh.f32 x)
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))

eval79.0ms (5.5%)

Memory: 35.0MiB live, 226.6MiB allocated; 24ms collecting garbage
Compiler: Compiled 11 908 to 3 231 computations (72.9% saved)

prune11.0ms (0.8%)

Memory

-14.9MiB live, 31.2MiB allocated; 3ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	667	3	670
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	668	3	671

Accuracy

100.0%

Counts

671 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.1%	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
▶	97.8%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
▶	99.3%	(acosh.f32 x)

Compiler

Compiled 23 to 18 computations (21.7% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
2
-1

Outputs
#s(literal 2 binary32)
#s(literal -1 binary32)

Samples

0.0ms

1×

valid

Compiler

Compiled 4 to 4 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series13.0ms (0.9%)

Memory

-18.5MiB live, 27.4MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	195	825

Stop Event

1×	iter-limit

Counts

11 → 39

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

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 (fma.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 (fma.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 (fma.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) -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)) (fma.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)) (fma.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 (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)) (fma.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)) (fma.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) (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 (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))))))))

Calls

3 calls:

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

rewrite120.0ms (8.3%)

Memory

17.6MiB live, 246.7MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	57
0	23	49
1	118	49
2	294	49
3	994	49
0	4140	49

Stop Event

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

Counts

11 → 545

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

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

eval211.0ms (14.5%)

Memory: 15.7MiB live, 118.1MiB allocated; 10ms collecting garbage
Compiler: Compiled 10 035 to 2 631 computations (73.8% saved)

prune9.0ms (0.6%)

Memory

-21.5MiB live, 25.6MiB allocated; 2ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	575	1	576
Fresh	0	0	0
Picked	3	0	3
Done	-2	2	0
Total	576	3	579

Accuracy

100.0%

Counts

579 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.1%	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
▶	97.8%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x)))
✓	99.3%	(acosh.f32 x)

Compiler

Compiled 23 to 17 computations (26.1% saved)

sample0.0ms (0.0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs

Outputs

series13.0ms (0.9%)

Memory

29.4MiB live, 29.4MiB 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
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 (fma.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 (fma.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 (fma.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)) (fma.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)) (fma.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

rewrite143.0ms (9.8%)

Memory

-17.3MiB live, 137.1MiB allocated; 17ms 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	27

Stop Event

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

Counts

4 → 32

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))) (fma.f32 x x (fma.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))) (fma.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))
(fma.f32 #s(literal 2 binary32) x (*.f32 x #s(literal 0 binary32)))
(fma.f32 #s(literal 2 binary32) x (*.f32 #s(literal 0 binary32) x))
(fma.f32 (+.f32 x x) #s(literal 1 binary32) (*.f32 x #s(literal 0 binary32)))
(fma.f32 (+.f32 x x) #s(literal 1 binary32) (*.f32 #s(literal 0 binary32) x))
(fma.f32 #s(literal 1 binary32) (+.f32 x x) (*.f32 x #s(literal 0 binary32)))
(fma.f32 #s(literal 1 binary32) (+.f32 x x) (*.f32 #s(literal 0 binary32) x))
(fma.f32 x #s(literal 2 binary32) (*.f32 x #s(literal 0 binary32)))
(fma.f32 x #s(literal 2 binary32) (*.f32 #s(literal 0 binary32) 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: 7.8MiB live, 7.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 144 to 283 computations (75.3% saved)

prune2.0ms (0.1%)

Memory

3.0MiB live, 3.0MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	0	0
Picked	1	0	1
Done	-1	3	2
Total	54	3	57

Accuracy

100.0%

Counts

57 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.1%	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
✓	97.8%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x)))
✓	99.3%	(acosh.f32 x)

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes11.0ms (0.8%)

Memory

-31.9MiB live, 14.7MiB allocated; 3ms 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 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
(log.f32 (+.f32 x (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
99.3%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`
99.3%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
99.3%	1	`x`

Compiler

Compiled 63 to 39 computations (38.1% saved)

derivations13.0ms (0.9%)

Memory

33.0MiB live, 33.1MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 2 to 2 computations (0.0% saved)

preprocess11.0ms (0.7%)

Memory: -16.1MiB live, 30.4MiB allocated; 3ms collecting garbage
Compiler: Compiled 23 to 18 computations (21.7% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze0.0ms (0.0%)

sample486.0ms (33.4%)

preprocess72.0ms (5.0%)

sample0.0ms (0.0%)

series16.0ms (1.1%)

rewrite241.0ms (16.5%)

eval79.0ms (5.5%)

prune11.0ms (0.8%)

sample0.0ms (0.0%)

series13.0ms (0.9%)

rewrite120.0ms (8.3%)

eval211.0ms (14.5%)

prune9.0ms (0.6%)

sample0.0ms (0.0%)

series13.0ms (0.9%)

rewrite143.0ms (9.8%)

eval4.0ms (0.3%)

prune2.0ms (0.1%)

regimes11.0ms (0.8%)

derivations13.0ms (0.9%)

preprocess11.0ms (0.7%)

end0.0ms (0.0%)

Profiling