Metrics for Rust f32::acosh

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample447.0ms (39.8%)

Memory

8.6MiB live, 437.3MiB allocated; 74ms collecting garbage

Samples

301.0ms	8 254×	0	valid
0.0ms	2×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 138.0ms

ival-acosh: 137.0ms (99% of total)

adjust: 1.0ms (0.7% of total)

Bogosity

explain117.0ms (10.5%)

Memory

9.3MiB live, 154.6MiB allocated; 13ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
133	-	-	`(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	133	0
↳	`(*.f32 x x)`	overflow	133
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	133
`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	133
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	133

Confusion

	Predicted +	Predicted -
+	133	0
-	0	123

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	133	0	0
-	0	0	123

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	123
1	131
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

28.0ms

512×

valid

Compiler

Compiled 79 to 25 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-log: 5.0ms (35.3% of total)

ival-sqrt: 4.0ms (28.2% of total)

ival-mult!: 3.0ms (21.2% of total)

ival-sub!: 1.0ms (7.1% of total)

ival-add!: 1.0ms (7.1% of total)

adjust: 0.0ms (0% of total)

preprocess6.0ms (0.5%)

Memory

12.2MiB live, 12.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9

Stop Event

1×

saturated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.4%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Compiler

Compiled 18 to 14 computations (22.2% saved)

series6.0ms (0.5%)

Memory

12.0MiB live, 12.0MiB 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)

rewrite73.0ms (6.5%)

Memory

-17.6MiB live, 123.2MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

49 → 64

Calls

Call 1

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

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

eval5.0ms (0.5%)

Memory: 14.8MiB live, 14.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 132 to 314 computations (72.3% saved)

prune2.0ms (0.2%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	59	3	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	4	63

Accuracy

100.0%

Counts

63 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.4%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
▶	97.5%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
▶	99.1%	(acosh.f32 x)
▶	98.5%	#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))))

Compiler

Compiled 50 to 39 computations (22% saved)

series84.0ms (7.5%)

Memory

4.1MiB live, 184.8MiB allocated; 47ms collecting garbage

Counts

20 → 83

Calls

Call 1

Inputs
#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))))
(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(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)))
(neg.f32 (log.f32 x))
(log.f32 x)
x
(/.f32 (fma.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32)) (*.f32 x x))
(fma.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32))
#s(literal 3/32 binary32)
(pow.f32 x #s(literal -2 binary32))
#s(literal -2 binary32)
#s(literal 1/4 binary32)
(*.f32 x x)
(log.f32 #s(literal 2 binary32))
#s(literal 2 binary32)
(acosh.f32 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)

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 (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) #s(hole binary32 (/ -3/32 (pow x 4))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) #s(hole binary32 (/ (- (* -1/4 (pow x 2)) 3/32) (pow x 4))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) #s(hole binary32 (/ (- (* (pow x 2) (- (* (pow x 2) (+ (log 2) (log x))) 1/4)) 3/32) (pow x 4))))
#s(approx (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x))) #s(hole binary32 (/ 3/32 (pow x 4))))
#s(approx (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x))) #s(hole binary32 (/ (+ 3/32 (* 1/4 (pow x 2))) (pow x 4))))
#s(approx (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x))) #s(hole binary32 (/ (+ 3/32 (* (pow x 2) (+ 1/4 (* -1 (* (pow x 2) (log x)))))) (pow x 4))))
#s(approx (neg (log x)) #s(hole binary32 (* -1 (log x))))
#s(approx (log x) #s(hole binary32 (log x)))
#s(approx x #s(hole binary32 x))
#s(approx (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)) #s(hole binary32 (/ 3/32 (pow x 4))))
#s(approx (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)) #s(hole binary32 (/ (+ 3/32 (* 1/4 (pow x 2))) (pow x 4))))
#s(approx (+ (* 3/32 (pow x -2)) 1/4) #s(hole binary32 (/ 3/32 (pow x 2))))
#s(approx (+ (* 3/32 (pow x -2)) 1/4) #s(hole binary32 (/ (+ 3/32 (* 1/4 (pow x 2))) (pow x 2))))
#s(approx (pow x -2) #s(hole binary32 (/ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#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 (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 (- (* 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 (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x))) #s(hole binary32 (log (/ 1 x))))
#s(approx (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x))) #s(hole binary32 (- (* 1/4 (/ 1 (pow x 2))) (* -1 (log (/ 1 x))))))
#s(approx (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x))) #s(hole binary32 (- (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))) (* -1 (log (/ 1 x))))))
#s(approx (neg (log x)) #s(hole binary32 (log (/ 1 x))))
#s(approx (log x) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)) #s(hole binary32 (/ 1/4 (pow x 2))))
#s(approx (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)) #s(hole binary32 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))
#s(approx (+ (* 3/32 (pow x -2)) 1/4) #s(hole binary32 1/4))
#s(approx (+ (* 3/32 (pow x -2)) 1/4) #s(hole binary32 (+ 1/4 (* 3/32 (/ 1 (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 (+ 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 (- (* 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 (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) #s(hole binary32 (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) #s(hole binary32 (- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) #s(hole binary32 (+ (log -1) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x))) #s(hole binary32 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x))) #s(hole binary32 (- (* 1/4 (/ 1 (pow x 2))) (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x))) #s(hole binary32 (- (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))) (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (neg (log x)) #s(hole binary32 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (log x) #s(hole binary32 (+ (log -1) (* -1 (log (/ -1 x))))))
#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 (+ 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
33.0ms	x	@	-inf	((log (+ x (sqrt (- (* x x) 1)))) (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x))) (neg (log x)) (log x) x (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)) (+ (* 3/32 (pow x -2)) 1/4) 3/32 (pow x -2) -2 1/4 (* x x) (log 2) 2 (acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)))
30.0ms	x	@	0	((log (+ x (sqrt (- (* x x) 1)))) (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x))) (neg (log x)) (log x) x (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)) (+ (* 3/32 (pow x -2)) 1/4) 3/32 (pow x -2) -2 1/4 (* x x) (log 2) 2 (acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)))
20.0ms	x	@	inf	((log (+ x (sqrt (- (* x x) 1)))) (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x))) (neg (log x)) (log x) x (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)) (+ (* 3/32 (pow x -2)) 1/4) 3/32 (pow x -2) -2 1/4 (* x x) (log 2) 2 (acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)))

Time

Variable

Point

Expression

33.0ms

-inf

((log (+ x (sqrt (- (* x x) 1)))) (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x))) (neg (log x)) (log x) x (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)) (+ (* 3/32 (pow x -2)) 1/4) 3/32 (pow x -2) -2 1/4 (* x x) (log 2) 2 (acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)))

30.0ms

((log (+ x (sqrt (- (* x x) 1)))) (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x))) (neg (log x)) (log x) x (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)) (+ (* 3/32 (pow x -2)) 1/4) 3/32 (pow x -2) -2 1/4 (* x x) (log 2) 2 (acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)))

20.0ms

inf

((log (+ x (sqrt (- (* x x) 1)))) (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x))) (neg (log x)) (log x) x (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)) (+ (* 3/32 (pow x -2)) 1/4) 3/32 (pow x -2) -2 1/4 (* x x) (log 2) 2 (acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)))

rewrite80.0ms (7.2%)

Memory

-13.4MiB live, 123.4MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	298	2072
0	315	1712
0	1627	1669

Stop Event

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

Counts

103 → 148

Calls

Call 1

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

eval11.0ms (0.9%)

Memory: 21.6MiB live, 21.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 928 to 629 computations (84% saved)

prune3.0ms (0.3%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	124	4	128

Accuracy

100.0%

Counts

128 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.4%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	97.5%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
✓	99.1%	(acosh.f32 x)
▶	22.3%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (/.f32 (-.f32 (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (*.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32)))))

Compiler

Compiled 73 to 54 computations (26% saved)

series85.0ms (7.6%)

Memory

-36.7MiB live, 107.8MiB allocated; 46ms collecting garbage

Counts

16 → 61

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (/.f32 (-.f32 (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (*.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32)))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (/.f32 (-.f32 (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (*.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32))))
(/.f32 (-.f32 (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (*.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32)))
(-.f32 (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (*.f32 x x)) #s(literal 3/32 binary32))
(.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (*.f32 x x))
(-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (*.f32 x x)) #s(literal 1/4 binary32))
(.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (*.f32 x x))
(log.f32 (*.f32 #s(literal 2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
x
(*.f32 x x)
#s(literal 1/4 binary32)
#s(literal 3/32 binary32)
(pow.f32 x #s(literal 4 binary32))
#s(literal 4 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 (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) #s(hole binary32 (/ -3/32 (pow x 4))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) #s(hole binary32 (/ (- (* -1/4 (pow x 2)) 3/32) (pow x 4))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) #s(hole binary32 (/ (- (* (pow x 2) (- (* (pow x 2) (+ (log 2) (log x))) 1/4)) 3/32) (pow x 4))))
#s(approx (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (pow x 4)) #s(hole binary32 (/ -3/32 (pow x 4))))
#s(approx (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (pow x 4)) #s(hole binary32 (/ (- (* -1/4 (pow x 2)) 3/32) (pow x 4))))
#s(approx (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (pow x 4)) #s(hole binary32 (/ (- (* (pow x 2) (- (* (pow x 2) (+ (log 2) (log x))) 1/4)) 3/32) (pow x 4))))
#s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) #s(hole binary32 -3/32))
#s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) #s(hole binary32 (- (* -1/4 (pow x 2)) 3/32)))
#s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) #s(hole binary32 (- (* (pow x 2) (- (* (pow x 2) (+ (log 2) (log x))) 1/4)) 3/32)))
#s(approx (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) #s(hole binary32 (* -1/4 (pow x 2))))
#s(approx (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) #s(hole binary32 (* (pow x 2) (- (* (pow x 2) (+ (log 2) (log x))) 1/4))))
#s(approx (- (* (log (* 2 x)) (* x x)) 1/4) #s(hole binary32 -1/4))
#s(approx (- (* (log (* 2 x)) (* x x)) 1/4) #s(hole binary32 (- (* (pow x 2) (+ (log 2) (log x))) 1/4)))
#s(approx (* (log (* 2 x)) (* x x)) #s(hole binary32 (* (pow x 2) (+ (log 2) (log x)))))
#s(approx (log (* 2 x)) #s(hole binary32 (+ (log 2) (log x))))
#s(approx (* 2 x) #s(hole binary32 (* 2 x)))
#s(approx x #s(hole binary32 x))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (pow x 4) #s(hole binary32 (pow x 4)))
#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 (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (pow x 4)) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (pow x 4)) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (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 (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) #s(hole binary32 (* (pow x 4) (+ (log 2) (* -1 (log (/ 1 x)))))))
#s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) #s(hole binary32 (* (pow x 4) (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) #s(hole binary32 (* (pow x 4) (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) #s(hole binary32 (* (pow x 4) (+ (log 2) (* -1 (log (/ 1 x)))))))
#s(approx (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) #s(hole binary32 (* (pow x 4) (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (- (* (log (* 2 x)) (* x x)) 1/4) #s(hole binary32 (* (pow x 2) (+ (log 2) (* -1 (log (/ 1 x)))))))
#s(approx (- (* (log (* 2 x)) (* x x)) 1/4) #s(hole binary32 (* (pow x 2) (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (* (log (* 2 x)) (* x x)) #s(hole binary32 (* (pow x 2) (+ (log 2) (* -1 (log (/ 1 x)))))))
#s(approx (log (* 2 x)) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#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 (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) #s(hole binary32 (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) #s(hole binary32 (- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) #s(hole binary32 (+ (log -1) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (pow x 4)) #s(hole binary32 (+ (log -2) (* -1 (log (/ -1 x))))))
#s(approx (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (pow x 4)) #s(hole binary32 (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (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 (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) #s(hole binary32 (* (pow x 4) (+ (log -2) (* -1 (log (/ -1 x)))))))
#s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) #s(hole binary32 (* (pow x 4) (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) #s(hole binary32 (* (pow x 4) (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) #s(hole binary32 (* (pow x 4) (+ (log -2) (* -1 (log (/ -1 x)))))))
#s(approx (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) #s(hole binary32 (* (pow x 4) (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (- (* (log (* 2 x)) (* x x)) 1/4) #s(hole binary32 (* (pow x 2) (+ (log -2) (* -1 (log (/ -1 x)))))))
#s(approx (- (* (log (* 2 x)) (* x x)) 1/4) #s(hole binary32 (* (pow x 2) (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (* (log (* 2 x)) (* x x)) #s(hole binary32 (* (pow x 2) (+ (log -2) (* -1 (log (/ -1 x)))))))
#s(approx (log (* 2 x)) #s(hole binary32 (+ (log -2) (* -1 (log (/ -1 x))))))

Calls

3 calls:

Time	Variable		Point	Expression
40.0ms	x	@	0	((log (+ x (sqrt (- (* x x) 1)))) (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (pow x 4)) (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) (- (* (log (* 2 x)) (* x x)) 1/4) (* (log (* 2 x)) (* x x)) (log (* 2 x)) (* 2 x) 2 x (* x x) 1/4 3/32 (pow x 4) 4)
34.0ms	x	@	-inf	((log (+ x (sqrt (- (* x x) 1)))) (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (pow x 4)) (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) (- (* (log (* 2 x)) (* x x)) 1/4) (* (log (* 2 x)) (* x x)) (log (* 2 x)) (* 2 x) 2 x (* x x) 1/4 3/32 (pow x 4) 4)
9.0ms	x	@	inf	((log (+ x (sqrt (- (* x x) 1)))) (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (pow x 4)) (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) (- (* (log (* 2 x)) (* x x)) 1/4) (* (log (* 2 x)) (* x x)) (log (* 2 x)) (* 2 x) 2 x (* x x) 1/4 3/32 (pow x 4) 4)

Time

Variable

Point

Expression

40.0ms

((log (+ x (sqrt (- (* x x) 1)))) (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (pow x 4)) (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) (- (* (log (* 2 x)) (* x x)) 1/4) (* (log (* 2 x)) (* x x)) (log (* 2 x)) (* 2 x) 2 x (* x x) 1/4 3/32 (pow x 4) 4)

34.0ms

-inf

((log (+ x (sqrt (- (* x x) 1)))) (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (pow x 4)) (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) (- (* (log (* 2 x)) (* x x)) 1/4) (* (log (* 2 x)) (* x x)) (log (* 2 x)) (* 2 x) 2 x (* x x) 1/4 3/32 (pow x 4) 4)

9.0ms

inf

((log (+ x (sqrt (- (* x x) 1)))) (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (pow x 4)) (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) (- (* (log (* 2 x)) (* x x)) 1/4) (* (log (* 2 x)) (* x x)) (log (* 2 x)) (* 2 x) 2 x (* x x) 1/4 3/32 (pow x 4) 4)

rewrite51.0ms (4.5%)

Memory

30.7MiB live, 77.6MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	204	1937
0	222	1706
0	1060	1677

Stop Event

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

Counts

77 → 104

Calls

Call 1

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

Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (/.f32 (-.f32 (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (*.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32)))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (/.f32 (-.f32 (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (*.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32))))
(/.f32 (neg.f32 (-.f32 (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (*.f32 x x)) #s(literal 3/32 binary32))) (neg.f32 (pow.f32 x #s(literal 4 binary32))))
(/.f32 (-.f32 (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (*.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32)))
(-.f32 (/.f32 (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (*.f32 x x)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))
(/.f32 (-.f32 (.f32 (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 x x)) (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 x x))) #s(literal 9/1024 binary32)) (fma.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (*.f32 x x) #s(literal 3/32 binary32)))
(/.f32 (-.f32 (pow.f32 (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 x x)) #s(literal 3 binary32)) #s(literal 27/32768 binary32)) (fma.f32 (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 x x)) (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 x x)) (+.f32 #s(literal 9/1024 binary32) (.f32 (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (*.f32 x x)) #s(literal 3/32 binary32)))))
(-.f32 (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (*.f32 x x)) #s(literal 3/32 binary32))
(.f32 (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (*.f32 x x)) #s(literal 1/4 binary32)) x) x)
(.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (*.f32 x x))
(.f32 (.f32 x x) (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (*.f32 x x)) #s(literal 1/4 binary32)))
(/.f32 (-.f32 (.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x))) #s(literal 1/16 binary32)) (fma.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (*.f32 x x) #s(literal 1/4 binary32)))
(/.f32 (-.f32 (pow.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 3 binary32)) #s(literal 1/64 binary32)) (fma.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) (+.f32 #s(literal 1/16 binary32) (.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (*.f32 x x)) #s(literal 1/4 binary32)))))
(-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (*.f32 x x)) #s(literal 1/4 binary32))
(.f32 (.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) x) x)
(.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (*.f32 x x))
(.f32 (.f32 x x) (log.f32 (*.f32 #s(literal 2 binary32) x)))
(fma.f32 (.f32 x x) (log.f32 #s(literal 2 binary32)) (.f32 (*.f32 x x) (log.f32 x)))
(fma.f32 (log.f32 #s(literal 2 binary32)) (.f32 x x) (.f32 (log.f32 x) (*.f32 x x)))
(+.f32 (.f32 (log.f32 #s(literal 2 binary32)) (.f32 x x)) (.f32 (log.f32 x) (.f32 x x)))
(+.f32 (.f32 (.f32 x x) (log.f32 #s(literal 2 binary32))) (.f32 (.f32 x x) (log.f32 x)))
(log.f32 (*.f32 #s(literal 2 binary32) x))
(/.f32 (-.f32 (.f32 (log.f32 #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32))) (.f32 (log.f32 x) (log.f32 x))) (-.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)))
(/.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32)) (-.f32 (.f32 (log.f32 x) (log.f32 x)) (.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) x)
(*.f32 x #s(literal 2 binary32))
(+.f32 x x)
#s(literal 2 binary32)
x
(*.f32 (pow.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 1 binary32)))
(*.f32 (neg.f32 x) (neg.f32 x))
(*.f32 (fabs.f32 x) (fabs.f32 x))
(*.f32 x x)
(pow.f32 x #s(literal 2 binary32))
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
#s(literal 1/4 binary32)
#s(literal 3/32 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)
#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 (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (/.f32 #s(literal -3/32 binary32) (pow.f32 x #s(literal 4 binary32))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (/.f32 (-.f32 (.f32 #s(literal -1/4 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (/.f32 (-.f32 (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (*.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32))))
#s(approx (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (pow x 4)) (/.f32 #s(literal -3/32 binary32) (pow.f32 x #s(literal 4 binary32))))
#s(approx (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (pow x 4)) (/.f32 (-.f32 (.f32 #s(literal -1/4 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32))))
#s(approx (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (pow x 4)) (/.f32 (-.f32 (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (*.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32))))
#s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) #s(literal -3/32 binary32))
#s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (-.f32 (.f32 #s(literal -1/4 binary32) (.f32 x x)) #s(literal 3/32 binary32)))
#s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (-.f32 (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (*.f32 x x)) #s(literal 3/32 binary32)))
#s(approx (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) (.f32 #s(literal -1/4 binary32) (.f32 x x)))
#s(approx (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (*.f32 x x)))
#s(approx (- (* (log (* 2 x)) (* x x)) 1/4) #s(literal -1/4 binary32))
#s(approx (- (* (log (* 2 x)) (* x x)) 1/4) (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (*.f32 x x)) #s(literal 1/4 binary32)))
#s(approx (* (log (* 2 x)) (* x x)) (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (*.f32 x x)))
#s(approx (log (* 2 x)) (log.f32 (*.f32 #s(literal 2 binary32) x)))
#s(approx (* 2 x) (*.f32 #s(literal 2 binary32) x))
#s(approx x x)
#s(approx (* x x) (*.f32 x x))
#s(approx (pow x 4) (pow.f32 x #s(literal 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 (+.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3/32 binary32) #s(literal 1/4 binary32)) (*.f32 x x)) (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 #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 (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (fma.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (-.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 (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (fma.f32 (+.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3/32 binary32) #s(literal 1/4 binary32)) (*.f32 x x)) (neg.f32 (log.f32 x))) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))))
#s(approx (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (pow x 4)) (fma.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))))
#s(approx (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (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 (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (pow x 4)) (fma.f32 (+.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3/32 binary32) #s(literal 1/4 binary32)) (*.f32 x x)) (neg.f32 (log.f32 x))) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))))
#s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (*.f32 (fma.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))) (pow.f32 x #s(literal 4 binary32))))
#s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (.f32 (-.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))) (pow.f32 x #s(literal 4 binary32))))
#s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (+.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3/32 binary32) #s(literal 1/4 binary32)) (.f32 x x)) (neg.f32 (log.f32 x))) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32)))))
#s(approx (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) (*.f32 (fma.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))) (pow.f32 x #s(literal 4 binary32))))
#s(approx (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) (.f32 (-.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))) (pow.f32 x #s(literal 4 binary32))))
#s(approx (- (* (log (* 2 x)) (* x x)) 1/4) (.f32 (fma.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))) (.f32 x x)))
#s(approx (- (* (log (* 2 x)) (* x x)) 1/4) (.f32 (-.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))) (*.f32 x x)))
#s(approx (* (log (* 2 x)) (* x x)) (.f32 (fma.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))) (.f32 x x)))
#s(approx (log (* 2 x)) (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)))) (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 (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (+.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))) (log.f32 #s(literal -1 binary32))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (-.f32 (+.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))) (log.f32 #s(literal -1 binary32))) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (+.f32 (fma.f32 #s(literal -1 binary32) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3/32 binary32) #s(literal 1/4 binary32)) (*.f32 x x))) (log.f32 #s(literal 2 binary32))) (log.f32 #s(literal -1 binary32))))
#s(approx (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (pow x 4)) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))))
#s(approx (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (pow x 4)) (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) 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 (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (pow x 4)) (fma.f32 #s(literal -1 binary32) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3/32 binary32) #s(literal 1/4 binary32)) (*.f32 x x))) (log.f32 #s(literal -2 binary32))))
#s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (*.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))) (pow.f32 x #s(literal 4 binary32))))
#s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (.f32 (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32))) (pow.f32 x #s(literal 4 binary32))))
#s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (.f32 (fma.f32 #s(literal -1 binary32) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3/32 binary32) #s(literal 1/4 binary32)) (.f32 x x))) (log.f32 #s(literal -2 binary32))) (pow.f32 x #s(literal 4 binary32))))
#s(approx (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) (*.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))) (pow.f32 x #s(literal 4 binary32))))
#s(approx (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) (.f32 (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32))) (pow.f32 x #s(literal 4 binary32))))
#s(approx (- (* (log (* 2 x)) (* x x)) 1/4) (.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))) (.f32 x x)))
#s(approx (- (* (log (* 2 x)) (* x x)) 1/4) (.f32 (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32))) (*.f32 x x)))
#s(approx (* (log (* 2 x)) (* x x)) (.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))) (.f32 x x)))
#s(approx (log (* 2 x)) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))))

eval13.0ms (1.1%)

Memory: -30.8MiB live, 17.9MiB allocated; 8ms collecting garbage
Compiler: Compiled 5 348 to 642 computations (88% saved)

prune2.0ms (0.2%)

Memory

6.0MiB live, 6.0MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	98	4	102

Accuracy

100.0%

Counts

102 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.4%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	97.5%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
✓	99.1%	(acosh.f32 x)
▶	22.6%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (/.f32 (-.f32 (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 x x)) #s(literal 3/32 binary32)) (.f32 (.f32 x x) (.f32 x x)))))

Compiler

Compiled 77 to 53 computations (31.2% saved)

series30.0ms (2.6%)

Memory

14.1MiB live, 60.7MiB allocated; 4ms collecting garbage

Counts

15 → 61

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (/.f32 (-.f32 (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 x x)) #s(literal 3/32 binary32)) (.f32 (.f32 x x) (.f32 x x)))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (/.f32 (-.f32 (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 x x)) #s(literal 3/32 binary32)) (.f32 (.f32 x x) (.f32 x x))))
(/.f32 (-.f32 (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 x x)) #s(literal 3/32 binary32)) (.f32 (.f32 x x) (.f32 x x)))
(-.f32 (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (*.f32 x x)) #s(literal 3/32 binary32))
(.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (*.f32 x x))
(-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (*.f32 x x)) #s(literal 1/4 binary32))
(.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (*.f32 x x))
(log.f32 (*.f32 #s(literal 2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
x
(*.f32 x x)
#s(literal 1/4 binary32)
#s(literal 3/32 binary32)
(.f32 (.f32 x x) (*.f32 x x))

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 (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) #s(hole binary32 (/ -3/32 (pow x 4))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) #s(hole binary32 (/ (- (* -1/4 (pow x 2)) 3/32) (pow x 4))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) #s(hole binary32 (/ (- (* (pow x 2) (- (* (pow x 2) (+ (log 2) (log x))) 1/4)) 3/32) (pow x 4))))
#s(approx (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (* (* x x) (* x x))) #s(hole binary32 (/ -3/32 (pow x 4))))
#s(approx (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (* (* x x) (* x x))) #s(hole binary32 (/ (- (* -1/4 (pow x 2)) 3/32) (pow x 4))))
#s(approx (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (* (* x x) (* x x))) #s(hole binary32 (/ (- (* (pow x 2) (- (* (pow x 2) (+ (log 2) (log x))) 1/4)) 3/32) (pow x 4))))
#s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) #s(hole binary32 -3/32))
#s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) #s(hole binary32 (- (* -1/4 (pow x 2)) 3/32)))
#s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) #s(hole binary32 (- (* (pow x 2) (- (* (pow x 2) (+ (log 2) (log x))) 1/4)) 3/32)))
#s(approx (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) #s(hole binary32 (* -1/4 (pow x 2))))
#s(approx (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) #s(hole binary32 (* (pow x 2) (- (* (pow x 2) (+ (log 2) (log x))) 1/4))))
#s(approx (- (* (log (* 2 x)) (* x x)) 1/4) #s(hole binary32 -1/4))
#s(approx (- (* (log (* 2 x)) (* x x)) 1/4) #s(hole binary32 (- (* (pow x 2) (+ (log 2) (log x))) 1/4)))
#s(approx (* (log (* 2 x)) (* x x)) #s(hole binary32 (* (pow x 2) (+ (log 2) (log x)))))
#s(approx (log (* 2 x)) #s(hole binary32 (+ (log 2) (log x))))
#s(approx (* 2 x) #s(hole binary32 (* 2 x)))
#s(approx x #s(hole binary32 x))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (* (* x x) (* x x)) #s(hole binary32 (pow x 4)))
#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 (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (* (* x x) (* x x))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (* (* x x) (* x x))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (* (* x x) (* x x))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) #s(hole binary32 (* (pow x 4) (+ (log 2) (* -1 (log (/ 1 x)))))))
#s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) #s(hole binary32 (* (pow x 4) (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) #s(hole binary32 (* (pow x 4) (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) #s(hole binary32 (* (pow x 4) (+ (log 2) (* -1 (log (/ 1 x)))))))
#s(approx (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) #s(hole binary32 (* (pow x 4) (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (- (* (log (* 2 x)) (* x x)) 1/4) #s(hole binary32 (* (pow x 2) (+ (log 2) (* -1 (log (/ 1 x)))))))
#s(approx (- (* (log (* 2 x)) (* x x)) 1/4) #s(hole binary32 (* (pow x 2) (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (* (log (* 2 x)) (* x x)) #s(hole binary32 (* (pow x 2) (+ (log 2) (* -1 (log (/ 1 x)))))))
#s(approx (log (* 2 x)) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#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 (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) #s(hole binary32 (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) #s(hole binary32 (- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) #s(hole binary32 (+ (log -1) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (* (* x x) (* x x))) #s(hole binary32 (+ (log -2) (* -1 (log (/ -1 x))))))
#s(approx (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (* (* x x) (* x x))) #s(hole binary32 (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (* (* x x) (* x x))) #s(hole binary32 (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) #s(hole binary32 (* (pow x 4) (+ (log -2) (* -1 (log (/ -1 x)))))))
#s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) #s(hole binary32 (* (pow x 4) (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) #s(hole binary32 (* (pow x 4) (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) #s(hole binary32 (* (pow x 4) (+ (log -2) (* -1 (log (/ -1 x)))))))
#s(approx (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) #s(hole binary32 (* (pow x 4) (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (- (* (log (* 2 x)) (* x x)) 1/4) #s(hole binary32 (* (pow x 2) (+ (log -2) (* -1 (log (/ -1 x)))))))
#s(approx (- (* (log (* 2 x)) (* x x)) 1/4) #s(hole binary32 (* (pow x 2) (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (* (log (* 2 x)) (* x x)) #s(hole binary32 (* (pow x 2) (+ (log -2) (* -1 (log (/ -1 x)))))))
#s(approx (log (* 2 x)) #s(hole binary32 (+ (log -2) (* -1 (log (/ -1 x))))))

Calls

3 calls:

Time	Variable		Point	Expression
11.0ms	x	@	inf	((log (+ x (sqrt (- (* x x) 1)))) (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (* (* x x) (* x x))) (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) (- (* (log (* 2 x)) (* x x)) 1/4) (* (log (* 2 x)) (* x x)) (log (* 2 x)) (* 2 x) 2 x (* x x) 1/4 3/32 (* (* x x) (* x x)))
9.0ms	x	@	-inf	((log (+ x (sqrt (- (* x x) 1)))) (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (* (* x x) (* x x))) (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) (- (* (log (* 2 x)) (* x x)) 1/4) (* (log (* 2 x)) (* x x)) (log (* 2 x)) (* 2 x) 2 x (* x x) 1/4 3/32 (* (* x x) (* x x)))
8.0ms	x	@	0	((log (+ x (sqrt (- (* x x) 1)))) (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (* (* x x) (* x x))) (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) (- (* (log (* 2 x)) (* x x)) 1/4) (* (log (* 2 x)) (* x x)) (log (* 2 x)) (* 2 x) 2 x (* x x) 1/4 3/32 (* (* x x) (* x x)))

Time

Variable

Point

Expression

11.0ms

inf

((log (+ x (sqrt (- (* x x) 1)))) (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (* (* x x) (* x x))) (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) (- (* (log (* 2 x)) (* x x)) 1/4) (* (log (* 2 x)) (* x x)) (log (* 2 x)) (* 2 x) 2 x (* x x) 1/4 3/32 (* (* x x) (* x x)))

9.0ms

-inf

((log (+ x (sqrt (- (* x x) 1)))) (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (* (* x x) (* x x))) (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) (- (* (log (* 2 x)) (* x x)) 1/4) (* (log (* 2 x)) (* x x)) (log (* 2 x)) (* 2 x) 2 x (* x x) 1/4 3/32 (* (* x x) (* x x)))

8.0ms

((log (+ x (sqrt (- (* x x) 1)))) (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (* (* x x) (* x x))) (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) (- (* (log (* 2 x)) (* x x)) 1/4) (* (log (* 2 x)) (* x x)) (log (* 2 x)) (* 2 x) 2 x (* x x) 1/4 3/32 (* (* x x) (* x x)))

rewrite49.0ms (4.4%)

Memory

21.3MiB live, 67.8MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	205	1992
0	225	1705
0	1092	1676

Stop Event

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

Counts

76 → 109

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (/.f32 (-.f32 (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 x x)) #s(literal 3/32 binary32)) (.f32 (.f32 x x) (.f32 x x)))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (/.f32 (-.f32 (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 x x)) #s(literal 3/32 binary32)) (.f32 (.f32 x x) (.f32 x x))))
(/.f32 (-.f32 (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 x x)) #s(literal 3/32 binary32)) (.f32 (.f32 x x) (.f32 x x)))
(-.f32 (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (*.f32 x x)) #s(literal 3/32 binary32))
(.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (*.f32 x x))
(-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (*.f32 x x)) #s(literal 1/4 binary32))
(.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (*.f32 x x))
(log.f32 (*.f32 #s(literal 2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
x
(*.f32 x x)
#s(literal 1/4 binary32)
#s(literal 3/32 binary32)
(.f32 (.f32 x x) (*.f32 x 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 (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) #s(hole binary32 (/ -3/32 (pow x 4))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) #s(hole binary32 (/ (- (* -1/4 (pow x 2)) 3/32) (pow x 4))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) #s(hole binary32 (/ (- (* (pow x 2) (- (* (pow x 2) (+ (log 2) (log x))) 1/4)) 3/32) (pow x 4))))
#s(approx (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (* (* x x) (* x x))) #s(hole binary32 (/ -3/32 (pow x 4))))
#s(approx (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (* (* x x) (* x x))) #s(hole binary32 (/ (- (* -1/4 (pow x 2)) 3/32) (pow x 4))))
#s(approx (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (* (* x x) (* x x))) #s(hole binary32 (/ (- (* (pow x 2) (- (* (pow x 2) (+ (log 2) (log x))) 1/4)) 3/32) (pow x 4))))
#s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) #s(hole binary32 -3/32))
#s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) #s(hole binary32 (- (* -1/4 (pow x 2)) 3/32)))
#s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) #s(hole binary32 (- (* (pow x 2) (- (* (pow x 2) (+ (log 2) (log x))) 1/4)) 3/32)))
#s(approx (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) #s(hole binary32 (* -1/4 (pow x 2))))
#s(approx (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) #s(hole binary32 (* (pow x 2) (- (* (pow x 2) (+ (log 2) (log x))) 1/4))))
#s(approx (- (* (log (* 2 x)) (* x x)) 1/4) #s(hole binary32 -1/4))
#s(approx (- (* (log (* 2 x)) (* x x)) 1/4) #s(hole binary32 (- (* (pow x 2) (+ (log 2) (log x))) 1/4)))
#s(approx (* (log (* 2 x)) (* x x)) #s(hole binary32 (* (pow x 2) (+ (log 2) (log x)))))
#s(approx (log (* 2 x)) #s(hole binary32 (+ (log 2) (log x))))
#s(approx (* 2 x) #s(hole binary32 (* 2 x)))
#s(approx x #s(hole binary32 x))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (* (* x x) (* x x)) #s(hole binary32 (pow x 4)))
#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 (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (* (* x x) (* x x))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (* (* x x) (* x x))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (* (* x x) (* x x))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) #s(hole binary32 (* (pow x 4) (+ (log 2) (* -1 (log (/ 1 x)))))))
#s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) #s(hole binary32 (* (pow x 4) (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) #s(hole binary32 (* (pow x 4) (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) #s(hole binary32 (* (pow x 4) (+ (log 2) (* -1 (log (/ 1 x)))))))
#s(approx (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) #s(hole binary32 (* (pow x 4) (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (- (* (log (* 2 x)) (* x x)) 1/4) #s(hole binary32 (* (pow x 2) (+ (log 2) (* -1 (log (/ 1 x)))))))
#s(approx (- (* (log (* 2 x)) (* x x)) 1/4) #s(hole binary32 (* (pow x 2) (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (* (log (* 2 x)) (* x x)) #s(hole binary32 (* (pow x 2) (+ (log 2) (* -1 (log (/ 1 x)))))))
#s(approx (log (* 2 x)) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#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 (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) #s(hole binary32 (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) #s(hole binary32 (- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) #s(hole binary32 (+ (log -1) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (* (* x x) (* x x))) #s(hole binary32 (+ (log -2) (* -1 (log (/ -1 x))))))
#s(approx (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (* (* x x) (* x x))) #s(hole binary32 (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (* (* x x) (* x x))) #s(hole binary32 (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) #s(hole binary32 (* (pow x 4) (+ (log -2) (* -1 (log (/ -1 x)))))))
#s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) #s(hole binary32 (* (pow x 4) (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) #s(hole binary32 (* (pow x 4) (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) #s(hole binary32 (* (pow x 4) (+ (log -2) (* -1 (log (/ -1 x)))))))
#s(approx (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) #s(hole binary32 (* (pow x 4) (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (- (* (log (* 2 x)) (* x x)) 1/4) #s(hole binary32 (* (pow x 2) (+ (log -2) (* -1 (log (/ -1 x)))))))
#s(approx (- (* (log (* 2 x)) (* x x)) 1/4) #s(hole binary32 (* (pow x 2) (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (* (log (* 2 x)) (* x x)) #s(hole binary32 (* (pow x 2) (+ (log -2) (* -1 (log (/ -1 x)))))))
#s(approx (log (* 2 x)) #s(hole binary32 (+ (log -2) (* -1 (log (/ -1 x))))))

Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (/.f32 (-.f32 (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (*.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32)))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (/.f32 (-.f32 (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (*.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32))))
(/.f32 (/.f32 (-.f32 (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 x x)) #s(literal 3/32 binary32)) (.f32 x x)) (*.f32 x x))
(/.f32 (neg.f32 (-.f32 (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (*.f32 x x)) #s(literal 3/32 binary32))) (neg.f32 (pow.f32 x #s(literal 4 binary32))))
(/.f32 (-.f32 (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (*.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32)))
(-.f32 (/.f32 (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (*.f32 x x)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))
(/.f32 (-.f32 (.f32 (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 x x)) (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 x x))) #s(literal 9/1024 binary32)) (fma.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (*.f32 x x) #s(literal 3/32 binary32)))
(/.f32 (-.f32 (pow.f32 (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 x x)) #s(literal 3 binary32)) #s(literal 27/32768 binary32)) (fma.f32 (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 x x)) (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 x x)) (+.f32 #s(literal 9/1024 binary32) (.f32 (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (*.f32 x x)) #s(literal 3/32 binary32)))))
(-.f32 (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (*.f32 x x)) #s(literal 3/32 binary32))
(.f32 (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (*.f32 x x)) #s(literal 1/4 binary32)) x) x)
(.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (*.f32 x x))
(.f32 (.f32 x x) (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (*.f32 x x)) #s(literal 1/4 binary32)))
(/.f32 (-.f32 (.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x))) #s(literal 1/16 binary32)) (fma.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (*.f32 x x) #s(literal 1/4 binary32)))
(/.f32 (-.f32 (pow.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 3 binary32)) #s(literal 1/64 binary32)) (fma.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) (+.f32 #s(literal 1/16 binary32) (.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (*.f32 x x)) #s(literal 1/4 binary32)))))
(-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (*.f32 x x)) #s(literal 1/4 binary32))
(.f32 (.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) x) x)
(.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (*.f32 x x))
(.f32 (.f32 x x) (log.f32 (*.f32 #s(literal 2 binary32) x)))
(fma.f32 (.f32 x x) (log.f32 #s(literal 2 binary32)) (.f32 (*.f32 x x) (log.f32 x)))
(fma.f32 (log.f32 #s(literal 2 binary32)) (.f32 x x) (.f32 (log.f32 x) (*.f32 x x)))
(+.f32 (.f32 (log.f32 #s(literal 2 binary32)) (.f32 x x)) (.f32 (log.f32 x) (.f32 x x)))
(+.f32 (.f32 (.f32 x x) (log.f32 #s(literal 2 binary32))) (.f32 (.f32 x x) (log.f32 x)))
(log.f32 (*.f32 #s(literal 2 binary32) x))
(/.f32 (-.f32 (.f32 (log.f32 #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32))) (.f32 (log.f32 x) (log.f32 x))) (-.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)))
(/.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32)) (-.f32 (.f32 (log.f32 x) (log.f32 x)) (.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) x)
(*.f32 x #s(literal 2 binary32))
(+.f32 x x)
#s(literal 2 binary32)
x
(*.f32 (pow.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 1 binary32)))
(*.f32 (neg.f32 x) (neg.f32 x))
(*.f32 (fabs.f32 x) (fabs.f32 x))
(*.f32 x x)
(pow.f32 x #s(literal 2 binary32))
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
#s(literal 1/4 binary32)
#s(literal 3/32 binary32)
(.f32 (.f32 (*.f32 x x) x) x)
(.f32 (neg.f32 (.f32 x x)) (neg.f32 (*.f32 x x)))
(.f32 (fabs.f32 (.f32 x x)) (fabs.f32 (*.f32 x x)))
(.f32 (.f32 x x) (*.f32 x x))
(.f32 x (.f32 x (*.f32 x x)))
(pow.f32 (*.f32 x x) #s(literal 2 binary32))
(pow.f32 x #s(literal 4 binary32))
(exp.f32 (*.f32 (log.f32 x) #s(literal 4 binary32)))
#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 (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (/.f32 #s(literal -3/32 binary32) (pow.f32 x #s(literal 4 binary32))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (/.f32 (-.f32 (.f32 #s(literal -1/4 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (/.f32 (-.f32 (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (*.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32))))
#s(approx (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (* (* x x) (* x x))) (/.f32 #s(literal -3/32 binary32) (pow.f32 x #s(literal 4 binary32))))
#s(approx (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (* (* x x) (* x x))) (/.f32 (-.f32 (.f32 #s(literal -1/4 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32))))
#s(approx (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (* (* x x) (* x x))) (/.f32 (-.f32 (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (*.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32))))
#s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) #s(literal -3/32 binary32))
#s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (-.f32 (.f32 #s(literal -1/4 binary32) (.f32 x x)) #s(literal 3/32 binary32)))
#s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (-.f32 (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (*.f32 x x)) #s(literal 3/32 binary32)))
#s(approx (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) (.f32 #s(literal -1/4 binary32) (.f32 x x)))
#s(approx (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (*.f32 x x)))
#s(approx (- (* (log (* 2 x)) (* x x)) 1/4) #s(literal -1/4 binary32))
#s(approx (- (* (log (* 2 x)) (* x x)) 1/4) (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (*.f32 x x)) #s(literal 1/4 binary32)))
#s(approx (* (log (* 2 x)) (* x x)) (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (*.f32 x x)))
#s(approx (log (* 2 x)) (log.f32 (*.f32 #s(literal 2 binary32) x)))
#s(approx (* 2 x) (*.f32 #s(literal 2 binary32) x))
#s(approx x x)
#s(approx (* x x) (*.f32 x x))
#s(approx (* (* x x) (* x x)) (pow.f32 x #s(literal 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 (+.f32 (/.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3/32 binary32) #s(literal 1/4 binary32)) x) x) (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 #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 (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (fma.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (-.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 (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (fma.f32 (+.f32 (/.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3/32 binary32) #s(literal 1/4 binary32)) x) x) (neg.f32 (log.f32 x))) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))))
#s(approx (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (* (* x x) (* x x))) (fma.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))))
#s(approx (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (* (* x x) (* x x))) (-.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 (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (* (* x x) (* x x))) (fma.f32 (+.f32 (/.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3/32 binary32) #s(literal 1/4 binary32)) x) x) (neg.f32 (log.f32 x))) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))))
#s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (*.f32 (fma.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))) (pow.f32 x #s(literal 4 binary32))))
#s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (.f32 (-.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))) (pow.f32 x #s(literal 4 binary32))))
#s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (*.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (+.f32 (/.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3/32 binary32) #s(literal 1/4 binary32)) x) x) (neg.f32 (log.f32 x))) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32)))))
#s(approx (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) (*.f32 (fma.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))) (pow.f32 x #s(literal 4 binary32))))
#s(approx (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) (.f32 (-.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))) (pow.f32 x #s(literal 4 binary32))))
#s(approx (- (* (log (* 2 x)) (* x x)) 1/4) (.f32 (fma.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))) (.f32 x x)))
#s(approx (- (* (log (* 2 x)) (* x x)) 1/4) (.f32 (-.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))) (*.f32 x x)))
#s(approx (* (log (* 2 x)) (* x x)) (.f32 (fma.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))) (.f32 x x)))
#s(approx (log (* 2 x)) (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)))) (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 (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (+.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))) (log.f32 #s(literal -1 binary32))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (-.f32 (+.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))) (log.f32 #s(literal -1 binary32))) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32))))
#s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (+.f32 (fma.f32 #s(literal -1 binary32) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3/32 binary32) #s(literal 1/4 binary32)) x) x)) (log.f32 #s(literal 2 binary32))) (log.f32 #s(literal -1 binary32))))
#s(approx (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (* (* x x) (* x x))) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))))
#s(approx (/ (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (* (* x x) (* x x))) (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) 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 (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (* (* x x) (* x x))) (fma.f32 #s(literal -1 binary32) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3/32 binary32) #s(literal 1/4 binary32)) x) x)) (log.f32 #s(literal -2 binary32))))
#s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (*.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))) (pow.f32 x #s(literal 4 binary32))))
#s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (.f32 (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32))) (pow.f32 x #s(literal 4 binary32))))
#s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) (*.f32 (fma.f32 #s(literal -1 binary32) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3/32 binary32) #s(literal 1/4 binary32)) x) x)) (log.f32 #s(literal -2 binary32))) (pow.f32 x #s(literal 4 binary32))))
#s(approx (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) (*.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))) (pow.f32 x #s(literal 4 binary32))))
#s(approx (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) (.f32 (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32))) (pow.f32 x #s(literal 4 binary32))))
#s(approx (- (* (log (* 2 x)) (* x x)) 1/4) (.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))) (.f32 x x)))
#s(approx (- (* (log (* 2 x)) (* x x)) 1/4) (.f32 (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32))) (*.f32 x x)))
#s(approx (* (log (* 2 x)) (* x x)) (.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))) (.f32 x x)))
#s(approx (log (* 2 x)) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))))

eval9.0ms (0.8%)

Memory: -26.1MiB live, 21.1MiB allocated; 2ms collecting garbage
Compiler: Compiled 6 984 to 729 computations (89.6% saved)

prune4.0ms (0.4%)

Memory

11.9MiB live, 11.9MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	120	2	122
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	121	5	126

Accuracy

100.0%

Counts

126 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.4%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	97.5%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
✓	99.1%	(acosh.f32 x)
	22.6%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (/.f32 (-.f32 (.f32 (-.f32 (.f32 (log.f32 (+.f32 x x)) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 x x)) #s(literal 3/32 binary32)) (.f32 (.f32 x x) (*.f32 x x)))))
	5.7%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (/.f32 #s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) #s(literal -3/32 binary32)) (.f32 (.f32 x x) (*.f32 x x)))))

Compiler

Compiled 402 to 168 computations (58.2% saved)

regimes8.0ms (0.7%)

Memory

17.3MiB live, 17.3MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (/.f32 #s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) #s(literal -3/32 binary32)) (.f32 (.f32 x x) (*.f32 x x)))))
(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)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (/.f32 (-.f32 (.f32 (-.f32 (.f32 (log.f32 (+.f32 x x)) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 x x)) #s(literal 3/32 binary32)) (.f32 (.f32 x x) (*.f32 x x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (/.f32 (-.f32 (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 x x)) #s(literal 3/32 binary32)) (.f32 (.f32 x x) (.f32 x x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (/.f32 (-.f32 (.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (*.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 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))))

Outputs
(acosh.f32 x)

Calls

3 calls:

3.0ms	x
2.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
2.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))

Results

Accuracy	Segments	Branch
99.1%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`
99.1%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
99.1%	1	`x`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes7.0ms (0.6%)

Memory

-37.9MiB live, 12.5MiB allocated; 5ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs

#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (/.f32 #s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) #s(literal -3/32 binary32)) (*.f32 (*.f32 x x) (*.f32 x x)))))

Outputs

#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (+ (* -1 (+ (neg (log x)) (/ (+ (* 3/32 (pow x -2)) 1/4) (* x x)))) (log 2)) (/.f32 #s(approx (- (* (- (* (log (* 2 x)) (* x x)) 1/4) (* x x)) 3/32) #s(literal -3/32 binary32)) (*.f32 (*.f32 x x) (*.f32 x x)))))

Calls

3 calls:

3.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
3.0ms	x
1.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))

Results

Accuracy	Segments	Branch
5.7%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`
5.7%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
5.7%	1	`x`

Compiler

Compiled 18 to 14 computations (22.2% saved)

derivations13.0ms (1.2%)

Memory

21.6MiB live, 21.6MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 59 to 36 computations (39% saved)

preprocess15.0ms (1.3%)

Memory: -16.3MiB live, 30.4MiB allocated; 3ms collecting garbage
Compiler: Compiled 160 to 104 computations (35% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample447.0ms (39.8%)

explain117.0ms (10.5%)

preprocess6.0ms (0.5%)

series6.0ms (0.5%)

rewrite73.0ms (6.5%)

eval5.0ms (0.5%)

prune2.0ms (0.2%)

series84.0ms (7.5%)

rewrite80.0ms (7.2%)

eval11.0ms (0.9%)

prune3.0ms (0.3%)

series85.0ms (7.6%)

rewrite51.0ms (4.5%)

eval13.0ms (1.1%)

prune2.0ms (0.2%)

series30.0ms (2.6%)

rewrite49.0ms (4.4%)

eval9.0ms (0.8%)

prune4.0ms (0.4%)

regimes8.0ms (0.7%)

regimes7.0ms (0.6%)

derivations13.0ms (1.2%)

preprocess15.0ms (1.3%)

end0.0ms (0%)

Profiling