Metrics for Rust f32::acosh

start0.0ms (0%)

Memory: -42.5MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample672.0ms (44.6%)

Memory

15.9MiB live, 775.9MiB allocated; 155ms collecting garbage

Samples

460.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 175.0ms

ival-acosh: 171.0ms (97.7% of total)

adjust: 2.0ms (1.1% of total)

ival-assert: 2.0ms (1.1% of total)

Bogosity

explain141.0ms (9.4%)

Memory

-8.8MiB live, 236.4MiB allocated; 43ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
124	-	-	`(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	124	0
↳	`(*.f32 x x)`	overflow	124
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	124
`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	124
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	124

Confusion

	Predicted +	Predicted -
+	124	0
-	0	132

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	124	0	0
-	0	0	132

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	132
1	122
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

51.0ms

512×

valid

Compiler

Compiled 79 to 25 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 22.0ms (59.5% of total)

ival-log: 6.0ms (16.2% of total)

ival-add: 3.0ms (8.1% of total)

ival-sub: 3.0ms (8.1% of total)

ival-sqrt: 3.0ms (8.1% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

preprocess160.0ms (10.6%)

Memory

33.8MiB live, 165.4MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
0	7	9
0	12	9
1	22	9
2	49	9
3	121	9
4	383	9
5	2335	9
6	7889	9
0	8019	8

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.6%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

series6.0ms (0.4%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Counts

7 → 42

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

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

2.0ms

inf

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

rewrite96.0ms (6.4%)

Memory

-14.7MiB live, 87.6MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	197	724
0	1165	694

Stop Event

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

Counts

49 → 64

Calls

Call 1

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

eval8.0ms (0.6%)

Memory: -20.0MiB live, 24.4MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 186 to 316 computations (73.4% saved)

prune3.0ms (0.2%)

Memory

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

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	3	69

Accuracy

100.0%

Counts

69 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	13.8%	(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))))))))
▶	96.6%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
▶	99.3%	(acosh.f32 x)

Status

Accuracy

Program

▶

13.8%

(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))))))))

▶

96.6%

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

▶

99.3%

(acosh.f32 x)

Compiler

Compiled 36 to 25 computations (30.6% saved)

series10.0ms (0.6%)

Memory

28.3MiB live, 28.3MiB 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))

rewrite116.0ms (7.7%)

Memory

-7.5MiB live, 140.9MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	287	1856
0	1466	1771

Stop Event

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

Counts

126 → 190

Calls

Call 1

Inputs
(acosh x)
x
(log (+ x #s(approx (sqrt (- (* x x) 1)) #s(hole binary32 x))))
(+ x #s(approx (sqrt (- (* x x) 1)) #s(hole binary32 x)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 x))
(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)
#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 (- (* x x) 1)) x) x))
(/.f32 (-.f32 (.f32 x x) (.f32 #s(approx (sqrt (- (* x x) 1)) x) #s(approx (sqrt (- (* x x) 1)) x))) (-.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (- (* x x) 1)) x) #s(literal 3 binary32))) (fma.f32 x x (-.f32 (.f32 #s(approx (sqrt (- ( x x) 1)) x) #s(approx (sqrt (- (* x x) 1)) x)) (.f32 x #s(approx (sqrt (- ( x x) 1)) x)))))
(+.f32 #s(approx (sqrt (- (* x x) 1)) x) x)
(+.f32 x #s(approx (sqrt (- (* x x) 1)) x))
#s(approx (sqrt (- (* x x) 1)) x)
(acosh.f32 x)
(log.f32 (+.f32 (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 (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 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 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 (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 x) #s(literal 6 binary32)))
(expm1.f32 (.f32 (log.f32 (.f32 x x)) #s(literal 3 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 (.f32 x x) (pow.f32 x #s(literal 4 binary32)))
(.f32 (pow.f32 x #s(literal 4 binary32)) (.f32 x x))
(pow.f32 (*.f32 x x) #s(literal 3 binary32))
(pow.f32 x #s(literal 6 binary32))
(exp.f32 (*.f32 (log.f32 x) #s(literal 6 binary32)))
(exp.f32 (.f32 (log.f32 (.f32 x x)) #s(literal 3 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 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)))
(+.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 (- (* 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 x)
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f32 (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 (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 (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 (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 (/ (- (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)))) (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) 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 (- (* 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 (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 (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 (/ (- (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 (- (* 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 (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)))))
#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)))))

eval24.0ms (1.6%)

Memory: -11.0MiB live, 34.2MiB allocated; 6ms collecting garbage
Compiler: Compiled 3 592 to 796 computations (77.8% saved)

prune4.0ms (0.3%)

Memory

13.4MiB live, 13.4MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	156	1	157
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	157	3	160

Accuracy

100.0%

Counts

160 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	13.8%	(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 (*.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))))
✓	96.6%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
✓	99.3%	(acosh.f32 x)

Status

Accuracy

Program

▶

13.8%

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

✓

96.6%

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

✓

99.3%

(acosh.f32 x)

Compiler

Compiled 33 to 24 computations (27.3% saved)

series14.0ms (0.9%)

Memory

-29.3MiB live, 15.7MiB allocated; 5ms collecting garbage

Counts

14 → 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 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))))
(+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 (*.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))))
x
(sqrt.f32 (/.f32 (-.f32 (pow.f32 (*.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (-.f32 (pow.f32 (*.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 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 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))
(fma.f32 x x #s(literal 1 binary32))
(pow.f32 x #s(literal 4 binary32))
#s(literal 4 binary32)

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

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

-inf

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

1.0ms

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

rewrite114.0ms (7.6%)

Memory

22.5MiB live, 122.6MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	230	1560
0	1361	1470

Stop Event

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

Counts

72 → 115

Calls

Call 1

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

eval31.0ms (2.1%)

Memory: -14.9MiB live, 31.3MiB allocated; 4ms collecting garbage
Compiler: Compiled 3 447 to 658 computations (80.9% saved)

prune4.0ms (0.2%)

Memory

12.7MiB live, 12.7MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	126	3	129

Accuracy

100.0%

Counts

129 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	13.8%	(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 (*.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))))
✓	96.6%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
✓	99.3%	(acosh.f32 x)

Status

Accuracy

Program

✓

13.8%

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

✓

96.6%

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

✓

99.3%

(acosh.f32 x)

Compiler

Compiled 98 to 57 computations (41.8% saved)

regimes7.0ms (0.4%)

Memory

20.9MiB live, 20.9MiB allocated; 0ms collecting garbage

Accuracy

Total -28.2b remaining (-11837.9%)

Threshold costs -28.2b (-11837.9%)

Counts

5 → 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 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 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	(+.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)))))
2.0ms	x

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)

simplify12.0ms (0.8%)

Memory

-19.8MiB live, 23.5MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	2

Stop Event

1×

saturated

Calls

Call 1

Inputs
(acosh.f32 x)

Outputs
(acosh.f32 x)

derivations2.0ms (0.2%)

Memory

5.8MiB live, 5.8MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 2 to 2 computations (0% saved)

preprocess83.0ms (5.5%)

Memory: -9.7MiB live, 37.0MiB allocated; 28ms 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%)

sample672.0ms (44.6%)

explain141.0ms (9.4%)

preprocess160.0ms (10.6%)

eval0.0ms (0%)

prune0.0ms (0%)

series6.0ms (0.4%)

rewrite96.0ms (6.4%)

eval8.0ms (0.6%)

prune3.0ms (0.2%)

series10.0ms (0.6%)

rewrite116.0ms (7.7%)

eval24.0ms (1.6%)

prune4.0ms (0.3%)

series14.0ms (0.9%)

rewrite114.0ms (7.6%)

eval31.0ms (2.1%)

prune4.0ms (0.2%)

regimes7.0ms (0.4%)

simplify12.0ms (0.8%)

derivations2.0ms (0.2%)

preprocess83.0ms (5.5%)

end0.0ms (0%)

Profiling