Metrics for Rust f32::acosh

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample455.0ms (38.9%)

Memory

36.7MiB live, 876.4MiB allocated; 208ms collecting garbage

Samples

310.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 158.0ms

ival-acosh: 157.0ms (99.2% of total)

adjust: 1.0ms (0.6% of total)

Bogosity

explain113.0ms (9.6%)

Memory

15.0MiB live, 308.5MiB allocated; 39ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
130	-	-	`(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))`
2	-	-	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
0	-	-	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`
0	-	-	`(*.f32 x x)`
0	-	-	`#s(literal 1 binary32)`
0	-	-	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f32`	`(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))`	oflow-rescue	130	0
↳	`(*.f32 x x)`	overflow	130
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	130
`log.f32`	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`	oflow-rescue	2	0
↳	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`	overflow	2
↳	`(*.f32 x x)`	overflow	130
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	130

Confusion

	Predicted +	Predicted -
+	130	0
-	0	126

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	130	0	0
-	0	0	126

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	126
1	128
2	2

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

42.0ms

512×

valid

Compiler

Compiled 79 to 25 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult!: 17.0ms (58.9% of total)

ival-log: 5.0ms (17.3% of total)

ival-sqrt: 4.0ms (13.9% of total)

ival-sub!: 1.0ms (3.5% of total)

ival-add!: 1.0ms (3.5% of total)

adjust: 0.0ms (0% of total)

preprocess8.0ms (0.7%)

Memory

-18.4MiB live, 28.6MiB allocated; 3ms 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
▶	52.5%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Compiler

Compiled 18 to 14 computations (22.2% saved)

series6.0ms (0.5%)

Memory

17.7MiB live, 17.7MiB 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	@	0	((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) x (sqrt (- (* x x) 1)) (- (* x x) 1) (* x x) 1)
2.0ms	x	@	-inf	((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) x (sqrt (- (* x x) 1)) (- (* x x) 1) (* x x) 1)
2.0ms	x	@	inf	((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) x (sqrt (- (* x x) 1)) (- (* x x) 1) (* x x) 1)

Time

Variable

Point

Expression

2.0ms

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

2.0ms

-inf

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

2.0ms

inf

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

rewrite69.0ms (5.9%)

Memory

0.3MiB live, 142.7MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	202	988
0	210	724
0	1179	694

Stop Event

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

Counts

49 → 64

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

eval9.0ms (0.8%)

Memory: -23.9MiB live, 22.1MiB allocated; 6ms collecting garbage
Compiler: Compiled 1 186 to 316 computations (73.4% saved)

prune2.0ms (0.2%)

Memory

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

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	0	0	0
Picked	0	1	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
▶	17.7%	(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 (.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) #s(literal 1 binary32))))))))
✓	52.5%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
▶	95.6%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
▶	99.3%	(acosh.f32 x)

Compiler

Compiled 45 to 32 computations (28.9% saved)

series10.0ms (0.8%)

Memory

31.1MiB live, 31.1MiB allocated; 0ms collecting garbage

Counts

19 → 107

Calls

Call 1

Inputs
(acosh.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 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 (.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) #s(literal 1 binary32))))))))
(+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 (.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) #s(literal 1 binary32)))))))
(sqrt.f32 (/.f32 (-.f32 (pow.f32 (.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 4 binary32)) (+.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)) (+.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) #s(literal 1 binary32)))))
(-.f32 (pow.f32 (*.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32))
(pow.f32 (*.f32 x x) #s(literal 3 binary32))
(*.f32 x x)
#s(literal 3 binary32)
#s(literal 1 binary32)
(+.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal 1 binary32))))
(pow.f32 x #s(literal 4 binary32))
#s(literal 4 binary32)
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal 1 binary32)))
(.f32 (.f32 x x) #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 (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 (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* 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 (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* 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 (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (sqrt -1)))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* 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 (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* 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 (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* 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 (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))) #s(hole binary32 -1))
#s(approx (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))) #s(hole binary32 (- (pow x 2) 1)))
#s(approx (- (pow (* x x) 3) 1) #s(hole binary32 -1))
#s(approx (- (pow (* x x) 3) 1) #s(hole binary32 (- (pow x 6) 1)))
#s(approx (pow (* x x) 3) #s(hole binary32 (pow x 6)))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (+ (pow x 4) (+ 1 (* (* x x) 1))) #s(hole binary32 1))
#s(approx (+ (pow x 4) (+ 1 (* (* x x) 1))) #s(hole binary32 (+ 1 (pow x 2))))
#s(approx (+ (pow x 4) (+ 1 (* (* x x) 1))) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))
#s(approx (pow x 4) #s(hole binary32 (pow x 4)))
#s(approx (+ 1 (* (* x x) 1)) #s(hole binary32 1))
#s(approx (+ 1 (* (* x x) 1)) #s(hole binary32 (+ 1 (pow x 2))))
#s(approx (* (* x x) 1) #s(hole binary32 (pow x 2)))
#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 (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 (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* 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 (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* 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 (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (* 2 x)))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* 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 (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) #s(hole binary32 x))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) #s(hole binary32 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) #s(hole binary32 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* 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 (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))) #s(hole binary32 (pow x 2)))
#s(approx (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))) #s(hole binary32 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (- (pow (* x x) 3) 1) #s(hole binary32 (pow x 6)))
#s(approx (- (pow (* x x) 3) 1) #s(hole binary32 (* (pow x 6) (- 1 (/ 1 (pow x 6))))))
#s(approx (+ (pow x 4) (+ 1 (* (* x x) 1))) #s(hole binary32 (pow x 4)))
#s(approx (+ (pow x 4) (+ 1 (* (* x x) 1))) #s(hole binary32 (* (pow x 4) (+ 1 (/ 1 (pow x 2))))))
#s(approx (+ (pow x 4) (+ 1 (* (* x x) 1))) #s(hole binary32 (* (pow x 4) (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))))
#s(approx (+ 1 (* (* x x) 1)) #s(hole binary32 (pow x 2)))
#s(approx (+ 1 (* (* 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 (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 (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* 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 (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* 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 (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* 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 (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* 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 (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) #s(hole binary32 (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* 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
3.0ms	x	@	-inf	((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))) (- (pow (* x x) 3) 1) (pow (* x x) 3) (* x x) 3 1 (+ (pow x 4) (+ 1 (* (* x x) 1))) (pow x 4) 4 (+ 1 (* (* x x) 1)) (* (* x x) 1))
3.0ms	x	@	inf	((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))) (- (pow (* x x) 3) 1) (pow (* x x) 3) (* x x) 3 1 (+ (pow x 4) (+ 1 (* (* x x) 1))) (pow x 4) 4 (+ 1 (* (* x x) 1)) (* (* x x) 1))
2.0ms	x	@	0	((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))) (- (pow (* x x) 3) 1) (pow (* x x) 3) (* x x) 3 1 (+ (pow x 4) (+ 1 (* (* x x) 1))) (pow x 4) 4 (+ 1 (* (* x x) 1)) (* (* x x) 1))

Time

Variable

Point

Expression

3.0ms

-inf

((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))) (- (pow (* x x) 3) 1) (pow (* x x) 3) (* x x) 3 1 (+ (pow x 4) (+ 1 (* (* x x) 1))) (pow x 4) 4 (+ 1 (* (* x x) 1)) (* (* x x) 1))

3.0ms

inf

((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))) (- (pow (* x x) 3) 1) (pow (* x x) 3) (* x x) 3 1 (+ (pow x 4) (+ 1 (* (* x x) 1))) (pow x 4) 4 (+ 1 (* (* x x) 1)) (* (* x x) 1))

2.0ms

((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))))) (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))))) (sqrt (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1))))) (/ (- (pow (* x x) 3) 1) (+ (pow x 4) (+ 1 (* (* x x) 1)))) (- (pow (* x x) 3) 1) (pow (* x x) 3) (* x x) 3 1 (+ (pow x 4) (+ 1 (* (* x x) 1))) (pow x 4) 4 (+ 1 (* (* x x) 1)) (* (* x x) 1))

rewrite102.0ms (8.7%)

Memory

-11.2MiB live, 129.3MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	299	3083
0	321	1856
0	1504	1771

Stop Event

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

Counts

126 → 190

Calls

Call 1

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

eval19.0ms (1.6%)

Memory: -8.3MiB live, 36.4MiB allocated; 10ms collecting garbage
Compiler: Compiled 4 236 to 800 computations (81.1% saved)

prune4.0ms (0.3%)

Memory

10.5MiB live, 10.5MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	156	1	157
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	157	4	161

Accuracy

100.0%

Counts

161 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	17.7%	(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 (.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal 1 binary32))))))))
✓	52.5%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	95.6%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
✓	99.3%	(acosh.f32 x)

Compiler

Compiled 49 to 31 computations (36.7% saved)

series7.0ms (0.6%)

Memory

15.6MiB live, 15.6MiB allocated; 0ms collecting garbage

Counts

14 → 59

Calls

Call 1

Inputs
(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 (.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal 1 binary32))))))))
(+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 (.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal 1 binary32)))))))
x
(sqrt.f32 (/.f32 (-.f32 (pow.f32 (.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (.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)) (+.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal 1 binary32)))))
(-.f32 (pow.f32 (*.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32))
(pow.f32 (*.f32 x x) #s(literal 3 binary32))
(*.f32 x x)
#s(literal 3 binary32)
#s(literal 1 binary32)
(+.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) #s(literal 1 binary32))))
(.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))

Outputs
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* 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 (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* 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 (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (sqrt -1)))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* 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 (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* 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 (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* 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 (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))) #s(hole binary32 -1))
#s(approx (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))) #s(hole binary32 (- (pow x 2) 1)))
#s(approx (- (pow (* x x) 3) 1) #s(hole binary32 -1))
#s(approx (- (pow (* x x) 3) 1) #s(hole binary32 (- (pow x 6) 1)))
#s(approx (pow (* x x) 3) #s(hole binary32 (pow x 6)))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))) #s(hole binary32 1))
#s(approx (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))) #s(hole binary32 (+ 1 (pow x 2))))
#s(approx (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))
#s(approx (* (* x x) (* x x)) #s(hole binary32 (pow x 4)))
#s(approx (+ 1 (* (* x x) 1)) #s(hole binary32 1))
#s(approx (+ 1 (* (* x x) 1)) #s(hole binary32 (+ 1 (pow x 2))))
#s(approx (* (* x x) 1) #s(hole binary32 (pow x 2)))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* 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 (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* 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 (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (* 2 x)))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* 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 (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) #s(hole binary32 x))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) #s(hole binary32 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) #s(hole binary32 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* 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 (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))) #s(hole binary32 (pow x 2)))
#s(approx (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))) #s(hole binary32 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (- (pow (* x x) 3) 1) #s(hole binary32 (pow x 6)))
#s(approx (- (pow (* x x) 3) 1) #s(hole binary32 (* (pow x 6) (- 1 (/ 1 (pow x 6))))))
#s(approx (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))) #s(hole binary32 (pow x 4)))
#s(approx (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))) #s(hole binary32 (* (pow x 4) (+ 1 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))) #s(hole binary32 (* (pow x 4) (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))))
#s(approx (+ 1 (* (* x x) 1)) #s(hole binary32 (pow x 2)))
#s(approx (+ 1 (* (* x x) 1)) #s(hole binary32 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* 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 (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* 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 (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))))) #s(hole binary32 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* 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 (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* 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 (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) #s(hole binary32 (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* 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 (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))))) (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))))) x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))) (- (pow (* x x) 3) 1) (pow (* x x) 3) (* x x) 3 1 (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))) (* (* x x) (* x x)) (+ 1 (* (* x x) 1)) (* (* x x) 1))
2.0ms	x	@	-inf	((log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))))) (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))))) x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))) (- (pow (* x x) 3) 1) (pow (* x x) 3) (* x x) 3 1 (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))) (* (* x x) (* x x)) (+ 1 (* (* x x) 1)) (* (* x x) 1))
1.0ms	x	@	0	((log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))))) (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))))) x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))) (- (pow (* x x) 3) 1) (pow (* x x) 3) (* x x) 3 1 (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))) (* (* x x) (* x x)) (+ 1 (* (* x x) 1)) (* (* x x) 1))

Time

Variable

Point

Expression

2.0ms

inf

((log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))))) (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))))) x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))) (- (pow (* x x) 3) 1) (pow (* x x) 3) (* x x) 3 1 (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))) (* (* x x) (* x x)) (+ 1 (* (* x x) 1)) (* (* x x) 1))

2.0ms

-inf

((log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))))) (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))))) x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))) (- (pow (* x x) 3) 1) (pow (* x x) 3) (* x x) 3 1 (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))) (* (* x x) (* x x)) (+ 1 (* (* x x) 1)) (* (* x x) 1))

1.0ms

((log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))))) (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))))) x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))))) (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1)))) (- (pow (* x x) 3) 1) (pow (* x x) 3) (* x x) 3 1 (+ (* (* x x) (* x x)) (+ 1 (* (* x x) 1))) (* (* x x) (* x x)) (+ 1 (* (* x x) 1)) (* (* x x) 1))

rewrite140.0ms (12%)

Memory

-13.5MiB live, 130.3MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	244	2104
0	266	1127
0	1437	1082

Stop Event

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

Counts

73 → 139

Calls

Call 1

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

eval18.0ms (1.5%)

Memory: 14.0MiB live, 59.5MiB allocated; 4ms collecting garbage
Compiler: Compiled 5 366 to 948 computations (82.3% saved)

prune5.0ms (0.5%)

Memory

-29.1MiB live, 16.3MiB allocated; 4ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	176	1	177
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	177	4	181

Accuracy

100.0%

Counts

181 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	17.7%	(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 (.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (.f32 (.f32 x x) (.f32 x x)) (fma.f32 x x #s(literal 1 binary32)))))))
✓	52.5%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	95.6%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
✓	99.3%	(acosh.f32 x)

Compiler

Compiled 46 to 30 computations (34.8% saved)

series7.0ms (0.6%)

Memory

23.4MiB live, 23.4MiB allocated; 0ms collecting garbage

Counts

13 → 58

Calls

Call 1

Inputs
(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 (.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (.f32 (.f32 x x) (.f32 x x)) (fma.f32 x x #s(literal 1 binary32)))))))
(+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 (.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (.f32 (.f32 x x) (.f32 x x)) (fma.f32 x x #s(literal 1 binary32))))))
x
(sqrt.f32 (/.f32 (-.f32 (pow.f32 (.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (.f32 (.f32 x x) (.f32 x x)) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (-.f32 (pow.f32 (.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (.f32 (.f32 x x) (.f32 x x)) (fma.f32 x x #s(literal 1 binary32))))
(-.f32 (pow.f32 (*.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32))
(pow.f32 (*.f32 x x) #s(literal 3 binary32))
(*.f32 x x)
#s(literal 3 binary32)
#s(literal 1 binary32)
(+.f32 (.f32 (.f32 x x) (*.f32 x x)) (fma.f32 x x #s(literal 1 binary32)))
(.f32 (.f32 x x) (*.f32 x x))
(fma.f32 x x #s(literal 1 binary32))

Outputs
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))))) #s(hole binary32 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))))) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* 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 (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* 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 (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))))) #s(hole binary32 (sqrt -1)))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))))) #s(hole binary32 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* 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 (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* 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 (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* 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 (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))) #s(hole binary32 -1))
#s(approx (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))) #s(hole binary32 (- (pow x 2) 1)))
#s(approx (- (pow (* x x) 3) 1) #s(hole binary32 -1))
#s(approx (- (pow (* x x) 3) 1) #s(hole binary32 (- (pow x 6) 1)))
#s(approx (pow (* x x) 3) #s(hole binary32 (pow x 6)))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (+ (* (* x x) (* x x)) (+ (* x x) 1)) #s(hole binary32 1))
#s(approx (+ (* (* x x) (* x x)) (+ (* x x) 1)) #s(hole binary32 (+ 1 (pow x 2))))
#s(approx (+ (* (* x x) (* x x)) (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))
#s(approx (* (* x x) (* x x)) #s(hole binary32 (pow x 4)))
#s(approx (+ (* x x) 1) #s(hole binary32 1))
#s(approx (+ (* x x) 1) #s(hole binary32 (+ 1 (pow x 2))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* 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 (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* 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 (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))))) #s(hole binary32 (* 2 x)))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))))) #s(hole binary32 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))))) #s(hole binary32 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* 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 (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))) #s(hole binary32 x))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))) #s(hole binary32 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))) #s(hole binary32 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* 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 (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))) #s(hole binary32 (pow x 2)))
#s(approx (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))) #s(hole binary32 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (- (pow (* x x) 3) 1) #s(hole binary32 (pow x 6)))
#s(approx (- (pow (* x x) 3) 1) #s(hole binary32 (* (pow x 6) (- 1 (/ 1 (pow x 6))))))
#s(approx (+ (* (* x x) (* x x)) (+ (* x x) 1)) #s(hole binary32 (pow x 4)))
#s(approx (+ (* (* x x) (* x x)) (+ (* x x) 1)) #s(hole binary32 (* (pow x 4) (+ 1 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) (* x x)) (+ (* x x) 1)) #s(hole binary32 (* (pow x 4) (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))))
#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 (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))))) #s(hole binary32 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* 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 (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* 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 (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))))) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))))) #s(hole binary32 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* 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 (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* 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 (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))) #s(hole binary32 (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* 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 (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))))) (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))))) x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))) (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))) (- (pow (* x x) 3) 1) (pow (* x x) 3) (* x x) 3 1 (+ (* (* x x) (* x x)) (+ (* x x) 1)) (* (* x x) (* x x)) (+ (* x x) 1))
2.0ms	x	@	inf	((log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))))) (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))))) x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))) (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))) (- (pow (* x x) 3) 1) (pow (* x x) 3) (* x x) 3 1 (+ (* (* x x) (* x x)) (+ (* x x) 1)) (* (* x x) (* x x)) (+ (* x x) 1))
1.0ms	x	@	0	((log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))))) (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))))) x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))) (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))) (- (pow (* x x) 3) 1) (pow (* x x) 3) (* x x) 3 1 (+ (* (* x x) (* x x)) (+ (* x x) 1)) (* (* x x) (* x x)) (+ (* x x) 1))

Time

Variable

Point

Expression

2.0ms

-inf

((log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))))) (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))))) x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))) (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))) (- (pow (* x x) 3) 1) (pow (* x x) 3) (* x x) 3 1 (+ (* (* x x) (* x x)) (+ (* x x) 1)) (* (* x x) (* x x)) (+ (* x x) 1))

2.0ms

inf

((log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))))) (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))))) x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))) (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))) (- (pow (* x x) 3) 1) (pow (* x x) 3) (* x x) 3 1 (+ (* (* x x) (* x x)) (+ (* x x) 1)) (* (* x x) (* x x)) (+ (* x x) 1))

1.0ms

((log (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))))) (+ x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))))) x (sqrt (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1)))) (/ (- (pow (* x x) 3) 1) (+ (* (* x x) (* x x)) (+ (* x x) 1))) (- (pow (* x x) 3) 1) (pow (* x x) 3) (* x x) 3 1 (+ (* (* x x) (* x x)) (+ (* x x) 1)) (* (* x x) (* x x)) (+ (* x x) 1))

rewrite149.0ms (12.8%)

Memory

-43.4MiB live, 83.4MiB allocated; 66ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	241	1922
0	259	1500
0	1411	1469

Stop Event

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

Counts

71 → 119

Calls

Call 1

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

eval18.0ms (1.5%)

Memory: -10.4MiB live, 36.5MiB allocated; 10ms collecting garbage
Compiler: Compiled 4 475 to 781 computations (82.5% saved)

prune4.0ms (0.3%)

Memory

12.4MiB live, 12.4MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	150	4	154

Accuracy

100.0%

Counts

154 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	17.7%	(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 (.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (.f32 (.f32 x x) (.f32 x x)) (fma.f32 x x #s(literal 1 binary32)))))))
✓	52.5%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	95.6%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
✓	99.3%	(acosh.f32 x)

Compiler

Compiled 142 to 69 computations (51.4% saved)

regimes7.0ms (0.6%)

Memory

19.1MiB live, 19.1MiB allocated; 0ms collecting garbage

Accuracy

Total -27.3b remaining (-11441.8%)

Threshold costs -27.3b (-11441.8%)

Counts

6 → 1

Calls

Call 1

Inputs
(acosh.f32 x)
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 (.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (.f32 (.f32 x x) (.f32 x x)) (fma.f32 x x #s(literal 1 binary32)))))))
(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 (.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal 1 binary32))))))))
(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 (.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) #s(literal 1 binary32))))))))

Outputs
(acosh.f32 x)

Calls

3 calls:

2.0ms	x
2.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
2.0ms	(log.f32 (+.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 18 to 14 computations (22.2% saved)

derivations6.0ms (0.5%)

Memory

-38.5MiB live, 7.3MiB allocated; 4ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 2 to 2 computations (0% saved)

preprocess13.0ms (1.1%)

Memory: 32.2MiB live, 32.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 46 to 36 computations (21.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample455.0ms (38.9%)

explain113.0ms (9.6%)

preprocess8.0ms (0.7%)

series6.0ms (0.5%)

rewrite69.0ms (5.9%)

eval9.0ms (0.8%)

prune2.0ms (0.2%)

series10.0ms (0.8%)

rewrite102.0ms (8.7%)

eval19.0ms (1.6%)

prune4.0ms (0.3%)

series7.0ms (0.6%)

rewrite140.0ms (12%)

eval18.0ms (1.5%)

prune5.0ms (0.5%)

series7.0ms (0.6%)

rewrite149.0ms (12.8%)

eval18.0ms (1.5%)

prune4.0ms (0.3%)

regimes7.0ms (0.6%)

derivations6.0ms (0.5%)

preprocess13.0ms (1.1%)

end0.0ms (0%)

Profiling