Metrics for Rust f32::acosh

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample564.0ms (60.2%)

Memory

-16.6MiB live, 645.1MiB allocated; 187ms collecting garbage

Samples

365.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 187.0ms

ival-acosh: 185.0ms (99.1% of total)

adjust: 1.0ms (0.5% of total)

Bogosity

preprocess6.0ms (0.6%)

Memory

13.3MiB live, 13.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9

Stop Event

1×

saturated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.2%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Compiler

Compiled 14 to 14 computations (0% saved)

series6.0ms (0.7%)

Memory

13.1MiB live, 13.1MiB allocated; 0ms collecting garbage

Counts

7 → 42

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) x (sqrt (- (* x x) 1)) (- (* x x) 1) (* x x) 1)
2.0ms	x	@	0	((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) x (sqrt (- (* x x) 1)) (- (* x x) 1) (* x x) 1)
2.0ms	x	@	inf	((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) x (sqrt (- (* x x) 1)) (- (* x x) 1) (* x x) 1)

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

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

2.0ms

inf

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

rewrite75.0ms (8%)

Memory

-11.8MiB live, 123.0MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	202	988
0	209	724
0	1219	688

Stop Event

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

Counts

49 → 70

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

Outputs
(acosh.f32 x)
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
(/.f32 (-.f32 (.f32 x x) (.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.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 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 (.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.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))) x)
(+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
x
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/2 binary32))
(sinh.f32 (acosh.f32 x))
(expm1.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
(*.f32 (+.f32 x #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32)))
(/.f32 (-.f32 (.f32 (.f32 x x) (*.f32 x x)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 (.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 (.f32 x x) (.f32 x x) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) #s(literal 1 binary32)))))
(-.f32 (*.f32 x x) #s(literal 1 binary32))
(fma.f32 (pow.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 (neg.f32 x) (neg.f32 x) #s(literal -1 binary32))
(fma.f32 (fabs.f32 x) (fabs.f32 x) #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))
(+.f32 (*.f32 x x) #s(literal -1 binary32))
(neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 (pow.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 1 binary32)))
(*.f32 (neg.f32 x) (neg.f32 x))
(*.f32 (fabs.f32 x) (fabs.f32 x))
(*.f32 x x)
(pow.f32 x #s(literal 2 binary32))
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
#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 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f32 x (fma.f32 (/.f32 (.f32 x x) (.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f32 (fma.f32 (-.f32 (/.f32 (.f32 #s(literal 3/40 binary32) (.f32 x x)) (pow.f32 #s(literal -1 binary32) #s(literal 5/2 binary32))) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (log.f32 (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 (sqrt.f32 #s(literal -1 binary32)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32))))
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 (fma.f32 x (fma.f32 #s(literal -1/8 binary32) (/.f32 (.f32 x x) (.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32))))
#s(approx x x)
#s(approx (sqrt (- (* x x) 1)) (sqrt.f32 #s(literal -1 binary32)))
#s(approx (sqrt (- (* x x) 1)) (fma.f32 (/.f32 (*.f32 x x) (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (sqrt (- (* x x) 1)) (fma.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (.f32 x x) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (.f32 x x) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (sqrt (- (* x x) 1)) (fma.f32 (fma.f32 (-.f32 (/.f32 (.f32 #s(literal 1/16 binary32) (.f32 x x)) (pow.f32 #s(literal -1 binary32) #s(literal 5/2 binary32))) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32))))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (.f32 x x) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (- (* x x) 1) #s(literal -1 binary32))
#s(approx (- (* x x) 1) (fma.f32 x x #s(literal -1 binary32)))
#s(approx (* x x) (*.f32 x x))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (neg.f32 (neg.f32 (log.f32 x))) (log.f32 #s(literal 2 binary32))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 x))) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 x))) (log.f32 #s(literal 2 binary32))) (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 x x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 x))) (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (.f32 (.f32 x x) (.f32 x x))))) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x x)) #s(literal 1/2 binary32)) (*.f32 x x))) #s(literal 2 binary32)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f32 (-.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (.f32 (.f32 x x) (.f32 x x)))) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) x))
#s(approx (sqrt (- (* x x) 1)) x)
#s(approx (sqrt (- (* x x) 1)) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) x))
#s(approx (sqrt (- (* x x) 1)) (.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x x)) #s(literal 1/2 binary32)) (*.f32 x x))) #s(literal 1 binary32)) x))
#s(approx (sqrt (- (* x x) 1)) (.f32 (-.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (.f32 (.f32 x x) (.f32 x x)))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) x))
#s(approx (- (* x x) 1) (*.f32 x x))
#s(approx (- (* x x) 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (*.f32 x x)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 (.f32 x x) (.f32 x x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 (.f32 x x) (.f32 x x))) (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 5/96 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 #s(literal 1/2 binary32) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (.f32 x x))) #s(literal 1/2 binary32)) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (neg.f32 (/.f32 (-.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/128 binary32) (.f32 x x)) #s(literal 1/16 binary32)) (.f32 (.f32 x x) (.f32 x x)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)))
#s(approx (sqrt (- (* x x) 1)) (neg.f32 x))
#s(approx (sqrt (- (* x x) 1)) (.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))
#s(approx (sqrt (- (* x x) 1)) (.f32 (neg.f32 x) (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x x)) #s(literal 1/2 binary32)) (*.f32 x x))) #s(literal 1 binary32))))
#s(approx (sqrt (- (* x x) 1)) (.f32 (neg.f32 x) (-.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (.f32 (.f32 x x) (.f32 x x)))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))

eval6.0ms (0.6%)

Memory: 17.7MiB live, 17.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 725 to 344 computations (52.6% saved)

prune2.0ms (0.3%)

Memory

7.6MiB live, 7.5MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	64	4	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	4	69

Accuracy

100.0%

Counts

69 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.2%	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
▶	95.1%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
▶	96.6%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) x)))
▶	99.3%	(acosh.f32 x)

Compiler

Compiled 30 to 30 computations (0% saved)

series9.0ms (1%)

Memory

-24.7MiB live, 21.1MiB allocated; 5ms collecting garbage

Counts

18 → 100

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* (- 2 (/ 1/2 (* x x))) x) (- 2 (/ 1/2 (* x x))) 2 (/ 1/2 (* x x)) 1/2 (* x x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (+ (* x x) -1) -1)
2.0ms	x	@	-inf	((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* (- 2 (/ 1/2 (* x x))) x) (- 2 (/ 1/2 (* x x))) 2 (/ 1/2 (* x x)) 1/2 (* x x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (+ (* x x) -1) -1)
2.0ms	x	@	inf	((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* (- 2 (/ 1/2 (* x x))) x) (- 2 (/ 1/2 (* x x))) 2 (/ 1/2 (* x x)) 1/2 (* x x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (+ (* x x) -1) -1)

Time

Variable

Point

Expression

2.0ms

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

2.0ms

-inf

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

2.0ms

inf

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

rewrite71.0ms (7.6%)

Memory

24.3MiB live, 125.5MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	286	2352
0	300	1820
0	1414	1747

Stop Event

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

Counts

118 → 158

Calls

Call 1

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

Outputs
(acosh.f32 x)
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
x
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) x))
(.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) x)
(.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))))
(/.f32 (-.f32 #s(literal 4 binary32) (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))))
(/.f32 (-.f32 #s(literal 8 binary32) (pow.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) #s(literal 3 binary32))) (+.f32 #s(literal 4 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))))))
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))
(+.f32 #s(literal 2 binary32) (neg.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x))))
(+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))))
(neg.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 2 binary32)))
#s(literal 2 binary32)
(.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal 1/2 binary32))
(.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x)))
(/.f32 (/.f32 #s(literal 1/2 binary32) x) x)
(/.f32 #s(literal -1/2 binary32) (neg.f32 (*.f32 x x)))
(/.f32 #s(literal 1/2 binary32) (*.f32 x x))
#s(literal 1/2 binary32)
(*.f32 (pow.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 1 binary32)))
(*.f32 (neg.f32 x) (neg.f32 x))
(*.f32 (fabs.f32 x) (fabs.f32 x))
(*.f32 x x)
(pow.f32 x #s(literal 2 binary32))
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
(log.f32 (+.f32 #s(approx (sqrt (- (* x x) 1)) x) x))
(/.f32 (-.f32 (.f32 x x) (.f32 #s(approx (sqrt (- (* x x) 1)) x) #s(approx (sqrt (- (* x x) 1)) x))) (-.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (- (* x x) 1)) x) #s(literal 3 binary32))) (fma.f32 x x (-.f32 (.f32 #s(approx (sqrt (- ( x x) 1)) x) #s(approx (sqrt (- (* x x) 1)) x)) (.f32 x #s(approx (sqrt (- ( x x) 1)) x)))))
(+.f32 #s(approx (sqrt (- (* x x) 1)) x) x)
(+.f32 x #s(approx (sqrt (- (* x x) 1)) x))
#s(approx (sqrt (- (* x x) 1)) x)
(acosh.f32 x)
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
(/.f32 (-.f32 (.f32 x x) (.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (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))) (sqrt.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 (.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.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))) (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 x) (.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
(+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/2 binary32))
(sinh.f32 (acosh.f32 x))
(expm1.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
(*.f32 (+.f32 x #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32)))
(/.f32 (-.f32 (.f32 (.f32 x x) (*.f32 x x)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))
(/.f32 (-.f32 (.f32 (.f32 x x) (.f32 x x)) #s(literal 1 binary32)) (-.f32 (.f32 x x) #s(literal -1 binary32)))
(/.f32 (-.f32 (pow.f32 (.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 (.f32 x x) (.f32 x x) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) #s(literal 1 binary32)))))
(/.f32 (+.f32 (pow.f32 (.f32 x x) #s(literal 3 binary32)) #s(literal -1 binary32)) (fma.f32 (.f32 x x) (.f32 x x) (-.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) #s(literal -1 binary32)))))
(-.f32 (*.f32 x x) #s(literal 1 binary32))
(fma.f32 (pow.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 (neg.f32 x) (neg.f32 x) #s(literal -1 binary32))
(fma.f32 (fabs.f32 x) (fabs.f32 x) #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))
(+.f32 (*.f32 x x) #s(literal -1 binary32))
(+.f32 #s(literal -1 binary32) (*.f32 x x))
(neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))
#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 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f32 x (fma.f32 (/.f32 (.f32 x x) (.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f32 (fma.f32 (-.f32 (/.f32 (.f32 #s(literal 3/40 binary32) (.f32 x x)) (pow.f32 #s(literal -1 binary32) #s(literal 5/2 binary32))) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx x x)
#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 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f32 x (fma.f32 (/.f32 (.f32 x x) (.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f32 (fma.f32 (-.f32 (/.f32 (.f32 #s(literal 3/40 binary32) (.f32 x x)) (pow.f32 #s(literal -1 binary32) #s(literal 5/2 binary32))) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (log.f32 (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 (sqrt.f32 #s(literal -1 binary32)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32))))
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 (fma.f32 x (fma.f32 #s(literal -1/8 binary32) (/.f32 (.f32 x x) (.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32))))
#s(approx (* (- 2 (/ 1/2 (* x x))) x) (/.f32 #s(literal -1/2 binary32) x))
#s(approx (* (- 2 (/ 1/2 (* x x))) x) (/.f32 (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -1/2 binary32)) x))
#s(approx (- 2 (/ 1/2 (* x x))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))
#s(approx (- 2 (/ 1/2 (* x x))) (/.f32 (fma.f32 (.f32 x x) #s(literal 2 binary32) #s(literal -1/2 binary32)) (.f32 x x)))
#s(approx (/ 1/2 (* x x)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))
#s(approx (* x x) (*.f32 x x))
#s(approx (sqrt (- (* x x) 1)) (sqrt.f32 #s(literal -1 binary32)))
#s(approx (sqrt (- (* x x) 1)) (fma.f32 (/.f32 (*.f32 x x) (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (sqrt (- (* x x) 1)) (fma.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (.f32 x x) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (.f32 x x) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (sqrt (- (* x x) 1)) (fma.f32 (fma.f32 (-.f32 (/.f32 (.f32 #s(literal 1/16 binary32) (.f32 x x)) (pow.f32 #s(literal -1 binary32) #s(literal 5/2 binary32))) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32))))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (.f32 x x) (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 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f32 x (fma.f32 (/.f32 (.f32 x x) (.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f32 (fma.f32 (-.f32 (/.f32 (.f32 #s(literal 3/40 binary32) (.f32 x x)) (pow.f32 #s(literal -1 binary32) #s(literal 5/2 binary32))) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (log.f32 (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 (sqrt.f32 #s(literal -1 binary32)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32))))
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 (fma.f32 x (fma.f32 #s(literal -1/8 binary32) (/.f32 (.f32 x x) (.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32))))
#s(approx (sqrt (- (* x x) 1)) (sqrt.f32 #s(literal -1 binary32)))
#s(approx (sqrt (- (* x x) 1)) (fma.f32 (/.f32 (*.f32 x x) (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (sqrt (- (* x x) 1)) (fma.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (.f32 x x) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (.f32 x x) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (sqrt (- (* x x) 1)) (fma.f32 (fma.f32 (-.f32 (/.f32 (.f32 #s(literal 1/16 binary32) (.f32 x x)) (pow.f32 #s(literal -1 binary32) #s(literal 5/2 binary32))) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32))))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (.f32 x x) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (+ (* x x) -1) #s(literal -1 binary32))
#s(approx (+ (* x x) -1) (fma.f32 x x #s(literal -1 binary32)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (neg.f32 (neg.f32 (log.f32 x))) (log.f32 #s(literal 2 binary32))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 x))) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 x))) (log.f32 #s(literal 2 binary32))) (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 x x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 x))) (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (.f32 (.f32 x x) (.f32 x x))))) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (neg.f32 (neg.f32 (log.f32 x))) (log.f32 #s(literal 2 binary32))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 x))) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 x))) (log.f32 #s(literal 2 binary32))) (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 x x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 x))) (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (.f32 (.f32 x x) (.f32 x x))))) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x x)) #s(literal 1/2 binary32)) (*.f32 x x))) #s(literal 2 binary32)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f32 (-.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (.f32 (.f32 x x) (.f32 x x)))) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) x))
#s(approx (* (- 2 (/ 1/2 (* x x))) x) (+.f32 x x))
#s(approx (* (- 2 (/ 1/2 (* x x))) x) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) x))
#s(approx (- 2 (/ 1/2 (* x x))) #s(literal 2 binary32))
#s(approx (- 2 (/ 1/2 (* x x))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))))
#s(approx (sqrt (- (* x x) 1)) x)
#s(approx (sqrt (- (* x x) 1)) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) x))
#s(approx (sqrt (- (* x x) 1)) (.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x x)) #s(literal 1/2 binary32)) (*.f32 x x))) #s(literal 1 binary32)) x))
#s(approx (sqrt (- (* x x) 1)) (.f32 (-.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (.f32 (.f32 x x) (.f32 x x)))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) x))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (neg.f32 (neg.f32 (log.f32 x))) (log.f32 #s(literal 2 binary32))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 x))) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 x))) (log.f32 #s(literal 2 binary32))) (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 x x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 x))) (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (.f32 (.f32 x x) (.f32 x x))))) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x x)) #s(literal 1/2 binary32)) (*.f32 x x))) #s(literal 2 binary32)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f32 (-.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (.f32 (.f32 x x) (.f32 x x)))) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) x))
#s(approx (sqrt (- (* x x) 1)) x)
#s(approx (sqrt (- (* x x) 1)) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) x))
#s(approx (sqrt (- (* x x) 1)) (.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x x)) #s(literal 1/2 binary32)) (*.f32 x x))) #s(literal 1 binary32)) x))
#s(approx (sqrt (- (* x x) 1)) (.f32 (-.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (.f32 (.f32 x x) (.f32 x x)))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) x))
#s(approx (+ (* x x) -1) (*.f32 x x))
#s(approx (+ (* x x) -1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (*.f32 x x)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 (.f32 x x) (.f32 x x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 (.f32 x x) (.f32 x x))) (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 5/96 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 (.f32 x x) (.f32 x x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 (.f32 x x) (.f32 x x))) (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 5/96 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 #s(literal 1/2 binary32) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (.f32 x x))) #s(literal 1/2 binary32)) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (neg.f32 (/.f32 (-.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/128 binary32) (.f32 x x)) #s(literal 1/16 binary32)) (.f32 (.f32 x x) (.f32 x x)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)))
#s(approx (* (- 2 (/ 1/2 (* x x))) x) (neg.f32 (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) #s(literal 2 binary32)) x)))
#s(approx (sqrt (- (* x x) 1)) (neg.f32 x))
#s(approx (sqrt (- (* x x) 1)) (.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))
#s(approx (sqrt (- (* x x) 1)) (.f32 (neg.f32 x) (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x x)) #s(literal 1/2 binary32)) (*.f32 x x))) #s(literal 1 binary32))))
#s(approx (sqrt (- (* x x) 1)) (.f32 (neg.f32 x) (-.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (.f32 (.f32 x x) (.f32 x x)))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 (.f32 x x) (.f32 x x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 (.f32 x x) (.f32 x x))) (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 5/96 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 #s(literal 1/2 binary32) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (.f32 x x))) #s(literal 1/2 binary32)) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (neg.f32 (/.f32 (-.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/128 binary32) (.f32 x x)) #s(literal 1/16 binary32)) (.f32 (.f32 x x) (.f32 x x)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)))
#s(approx (sqrt (- (* x x) 1)) (neg.f32 x))
#s(approx (sqrt (- (* x x) 1)) (.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))
#s(approx (sqrt (- (* x x) 1)) (.f32 (neg.f32 x) (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x x)) #s(literal 1/2 binary32)) (*.f32 x x))) #s(literal 1 binary32))))
#s(approx (sqrt (- (* x x) 1)) (.f32 (neg.f32 x) (-.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (.f32 (.f32 x x) (.f32 x x)))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))

eval26.0ms (2.8%)

Memory: -29.3MiB live, 17.5MiB allocated; 3ms collecting garbage
Compiler: Compiled 1 034 to 513 computations (50.4% saved)

prune2.0ms (0.2%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	97	4	101

Accuracy

100.0%

Counts

101 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.2%	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
✓	95.1%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
▶	50.5%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) #s(approx (* (- 2 (/ 1/2 (* x x))) x) (/.f32 (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -1/2 binary32)) x))))
✓	99.3%	(acosh.f32 x)

Compiler

Compiled 36 to 35 computations (2.8% saved)

series5.0ms (0.5%)

Memory

8.1MiB live, 8.1MiB allocated; 0ms collecting garbage

Counts

9 → 40

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* (- 2 (/ 1/2 (* x x))) x) (/ (+ (* (* x x) 2) -1/2) x) (+ (* (* x x) 2) -1/2) (* x x) x 2 -1/2)
1.0ms	x	@	-inf	((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* (- 2 (/ 1/2 (* x x))) x) (/ (+ (* (* x x) 2) -1/2) x) (+ (* (* x x) 2) -1/2) (* x x) x 2 -1/2)
1.0ms	x	@	0	((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* (- 2 (/ 1/2 (* x x))) x) (/ (+ (* (* x x) 2) -1/2) x) (+ (* (* x x) 2) -1/2) (* x x) x 2 -1/2)

Time

Variable

Point

Expression

2.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

rewrite63.0ms (6.8%)

Memory

26.3MiB live, 73.2MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	189	949
0	194	748
0	1122	725

Stop Event

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

Counts

49 → 67

Calls

Call 1

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

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

eval9.0ms (0.9%)

Memory: -30.8MiB live, 13.9MiB allocated; 4ms collecting garbage
Compiler: Compiled 736 to 352 computations (52.2% saved)

prune2.0ms (0.2%)

Memory

5.2MiB live, 5.2MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	63	4	67

Accuracy

100.0%

Counts

67 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.2%	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
✓	95.1%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
▶	50.5%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) #s(approx (* (- 2 (/ 1/2 (* x x))) x) (/.f32 (fma.f32 x (+.f32 x x) #s(literal -1/2 binary32)) x))))
✓	99.3%	(acosh.f32 x)

Compiler

Compiled 35 to 34 computations (2.9% saved)

series4.0ms (0.5%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Counts

8 → 40

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

rewrite54.0ms (5.8%)

Memory

-17.6MiB live, 80.8MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	190	948
0	195	747
0	1127	724

Stop Event

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

Counts

48 → 66

Calls

Call 1

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

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

eval5.0ms (0.5%)

Memory: 12.8MiB live, 12.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 745 to 359 computations (51.8% saved)

prune3.0ms (0.3%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	64	4	68

Accuracy

100.0%

Counts

68 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.2%	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
✓	95.1%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
✓	50.5%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) #s(approx (* (- 2 (/ 1/2 (* x x))) x) (/.f32 (fma.f32 x (+.f32 x x) #s(literal -1/2 binary32)) x))))
✓	99.3%	(acosh.f32 x)

Compiler

Compiled 86 to 79 computations (8.1% saved)

regimes7.0ms (0.8%)

Memory

19.6MiB live, 19.6MiB allocated; 0ms collecting garbage

Accuracy

Total -16.1b remaining (-7124.9%)

Threshold costs -16.1b (-7124.9%)

Counts

7 → 1

Calls

Call 1

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

Outputs
(acosh.f32 x)

Calls

3 calls:

2.0ms	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)

derivations6.0ms (0.6%)

Memory

-37.7MiB live, 8.6MiB allocated; 4ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 2 to 2 computations (0% saved)

preprocess10.0ms (1.1%)

Memory: 28.3MiB live, 28.3MiB 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%)

sample564.0ms (60.2%)

preprocess6.0ms (0.6%)

series6.0ms (0.7%)

rewrite75.0ms (8%)

eval6.0ms (0.6%)

prune2.0ms (0.3%)

series9.0ms (1%)

rewrite71.0ms (7.6%)

eval26.0ms (2.8%)

prune2.0ms (0.2%)

series5.0ms (0.5%)

rewrite63.0ms (6.8%)

eval9.0ms (0.9%)

prune2.0ms (0.2%)

series4.0ms (0.5%)

rewrite54.0ms (5.8%)

eval5.0ms (0.5%)

prune3.0ms (0.3%)

regimes7.0ms (0.8%)

derivations6.0ms (0.6%)

preprocess10.0ms (1.1%)

end0.0ms (0%)

Profiling