Metrics for Rust f32::acosh

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample640.0ms (36.2%)

Memory

-22.0MiB live, 744.6MiB allocated; 381ms collecting garbage

Samples

400.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 275.0ms

ival-acosh: 274.0ms (99.5% of total)

adjust: 1.0ms (0.4% of total)

Bogosity

preprocess62.0ms (3.5%)

Memory

-20.2MiB live, 31.3MiB allocated; 10ms 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
▶	48.1%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Compiler

Compiled 14 to 14 computations (0% saved)

series15.0ms (0.8%)

Memory

42.3MiB live, 42.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	193	926

Stop Event

1×	iter-limit

Counts

7 → 39

Calls

Call 1

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

Outputs
#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))) (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)
#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 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 (* x x) (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 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 (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 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 (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))))))
#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	Expression
2.0ms	x	@	0	((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) x (sqrt (- (* x x) 1)) (- (* x x) 1) (* x x) 1)
2.0ms	x	@	inf	((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) x (sqrt (- (* x x) 1)) (- (* x x) 1) (* x x) 1)
2.0ms	x	@	-inf	((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) x (sqrt (- (* x x) 1)) (- (* x x) 1) (* x x) 1)

Time

Variable

Point

Expression

2.0ms

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

2.0ms

inf

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

2.0ms

-inf

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

rewrite220.0ms (12.4%)

Memory

-20.0MiB live, 395.0MiB allocated; 50ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

7 → 925

Calls

Call 1

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

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

eval136.0ms (7.7%)

Memory: 2.2MiB live, 193.0MiB allocated; 57ms collecting garbage
Compiler: Compiled 9 106 to 4 608 computations (49.4% saved)

prune15.0ms (0.8%)

Memory

2.8MiB live, 48.4MiB allocated; 5ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	957	3	960
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	958	3	961

Accuracy

100.0%

Counts

961 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.1%	(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 18 to 18 computations (0% saved)

series10.0ms (0.6%)

Memory

29.9MiB live, 29.9MiB allocated; 0ms 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
(acosh.f32 x)
x
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(fma.f32 x x #s(literal -1 binary32))
#s(literal -1 binary32)

Outputs
#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 x 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 (* 2 x) (*.f32 #s(literal 2 binary32) x))
#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 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 (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 (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 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 (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	Expression
1.0ms	x	@	-inf	((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) 2 (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (+ (* x x) -1) -1)
1.0ms	x	@	inf	((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) 2 (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (+ (* x x) -1) -1)
1.0ms	x	@	0	((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) 2 (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (+ (* x x) -1) -1)

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

rewrite247.0ms (14%)

Memory

-21.0MiB live, 306.1MiB allocated; 63ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	57
0	23	41
1	120	41
2	300	41
3	1006	41
4	4221	41
0	8339	41

Stop Event

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

Counts

11 → 783

Calls

Call 1

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

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

eval119.0ms (6.7%)

Memory: 10.4MiB live, 196.9MiB allocated; 36ms collecting garbage
Compiler: Compiled 7 640 to 3 671 computations (52% saved)

prune13.0ms (0.7%)

Memory

-2.1MiB live, 44.0MiB allocated; 3ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	811	1	812
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	812	3	815

Accuracy

100.0%

Counts

815 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.1%	(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 17 to 17 computations (0% saved)

series7.0ms (0.4%)

Memory

22.2MiB live, 22.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	616

Stop Event

1×	iter-limit

Counts

4 → 25

Calls

Call 1

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

Outputs
#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))) (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) (*.f32 #s(literal 2 binary32) x))
#s(approx x x)
#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 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 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))))))
#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)))

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

inf

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

0.0ms

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

rewrite222.0ms (12.6%)

Memory

-8.1MiB live, 329.5MiB allocated; 60ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
0	11	23
1	78	23
2	237	23
3	777	23
4	3265	23
0	8348	23

Stop Event

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

Counts

4 → 36

Calls

Call 1

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

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

eval4.0ms (0.3%)

Memory: 17.7MiB live, 17.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 539 to 298 computations (44.7% saved)

prune3.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	57	3	60

Accuracy

100.0%

Counts

60 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.1%	(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 46 to 42 computations (8.7% saved)

regimes9.0ms (0.5%)

Memory

-31.5MiB live, 13.5MiB allocated; 5ms collecting garbage

Accuracy

Total -17.2b remaining (-7208.7%)

Threshold costs -17.2b (-7208.7%)

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:

5.0ms	x
2.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
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 14 to 14 computations (0% saved)

derivations35.0ms (2%)

Memory

-6.0MiB live, 36.8MiB allocated; 7ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 2 to 2 computations (0% saved)

preprocess10.0ms (0.6%)

Memory: 25.6MiB live, 25.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 19 to 18 computations (5.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample640.0ms (36.2%)

preprocess62.0ms (3.5%)

series15.0ms (0.8%)

rewrite220.0ms (12.4%)

eval136.0ms (7.7%)

prune15.0ms (0.8%)

series10.0ms (0.6%)

rewrite247.0ms (14%)

eval119.0ms (6.7%)

prune13.0ms (0.7%)

series7.0ms (0.4%)

rewrite222.0ms (12.6%)

eval4.0ms (0.3%)

prune3.0ms (0.1%)

regimes9.0ms (0.5%)

derivations35.0ms (2%)

preprocess10.0ms (0.6%)

end0.0ms (0%)

Profiling