Metrics for Rust f32::acosh

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample476.0ms (30.1%)

Memory

-7.3MiB live, 647.5MiB allocated; 167ms collecting garbage

Samples

319.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 152.0ms

ival-acosh: 147.0ms (96.6% of total)

adjust: 2.0ms (1.3% of total)

ival-assert: 2.0ms (1.3% of total)

Bogosity

explain123.0ms (7.8%)

Memory

-15.1MiB live, 187.5MiB allocated; 58ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
112	-	-	`(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))`
0	-	-	`(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	112	0
↳	`(*.f32 x x)`	overflow	112
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	112

Confusion

	Predicted +	Predicted -
+	112	0
-	0	144

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	112	0	0
-	0	0	144

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	144
1	112

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms

512×

valid

Compiler

Compiled 79 to 25 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-log: 6.0ms (31.3% of total)

ival-mult: 4.0ms (20.9% of total)

ival-add: 3.0ms (15.6% of total)

ival-sub: 3.0ms (15.6% of total)

ival-sqrt: 3.0ms (15.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

preprocess143.0ms (9%)

Memory

29.9MiB live, 125.5MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.0%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

series87.0ms (5.5%)

Memory

-35.6MiB live, 9.7MiB allocated; 9ms 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
82.0ms	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

82.0ms

-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)

rewrite79.0ms (5%)

Memory

22.7MiB live, 67.3MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

49 → 64

Calls

Call 1

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

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

eval6.0ms (0.4%)

Memory: 10.5MiB live, 10.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 186 to 316 computations (73.4% saved)

prune4.0ms (0.2%)

Memory

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

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	63	5	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	5	69

Accuracy

100.0%

Counts

69 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.1%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
▶	98.9%	(log.f32 #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)))
▶	99.2%	(acosh.f32 x)
▶	96.1%	#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))))
▶	97.8%	#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))))

Compiler

Compiled 144 to 116 computations (19.4% saved)

series143.0ms (9%)

Memory

-26.8MiB live, 118.8MiB allocated; 18ms collecting garbage

Counts

24 → 76

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
87.0ms	x	@	0	((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (log (+ x (sqrt (- (* x x) 1)))) (+ (* (neg (log x)) -1) (log 2)) (neg (log x)) (log x) -1 (log 2) 2 (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* (- 2 (* (pow x -2) 1/2)) x) (- 2 (* (pow x -2) 1/2)) (* (pow x -2) 1/2) (pow x -2) -2 1/2 (log (+ x (sqrt (- (* x x) 1)))) (- (+ (* (neg (log x)) -1) (log 2)) (* (pow x -2) 1/4)) (* (pow x -2) 1/4) 1/4)
39.0ms	x	@	-inf	((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (log (+ x (sqrt (- (* x x) 1)))) (+ (* (neg (log x)) -1) (log 2)) (neg (log x)) (log x) -1 (log 2) 2 (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* (- 2 (* (pow x -2) 1/2)) x) (- 2 (* (pow x -2) 1/2)) (* (pow x -2) 1/2) (pow x -2) -2 1/2 (log (+ x (sqrt (- (* x x) 1)))) (- (+ (* (neg (log x)) -1) (log 2)) (* (pow x -2) 1/4)) (* (pow x -2) 1/4) 1/4)
15.0ms	x	@	inf	((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (log (+ x (sqrt (- (* x x) 1)))) (+ (* (neg (log x)) -1) (log 2)) (neg (log x)) (log x) -1 (log 2) 2 (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* (- 2 (* (pow x -2) 1/2)) x) (- 2 (* (pow x -2) 1/2)) (* (pow x -2) 1/2) (pow x -2) -2 1/2 (log (+ x (sqrt (- (* x x) 1)))) (- (+ (* (neg (log x)) -1) (log 2)) (* (pow x -2) 1/4)) (* (pow x -2) 1/4) 1/4)

Time

Variable

Point

Expression

87.0ms

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

39.0ms

-inf

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

15.0ms

inf

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

rewrite66.0ms (4.2%)

Memory

16.5MiB live, 62.5MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	282	1779
0	305	1435
0	1491	1395

Stop Event

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

Counts

100 → 140

Calls

Call 1

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

Outputs
(acosh.f32 x)
(log.f32 (+.f32 (sinh.f32 (acosh.f32 x)) x))
x
(log.f32 (+.f32 #s(approx (sqrt (- (* x x) 1)) x) x))
(/.f32 (-.f32 (.f32 x x) (.f32 #s(approx (sqrt (- (* x x) 1)) x) #s(approx (sqrt (- (* x x) 1)) x))) (-.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (- (* x x) 1)) x) #s(literal 3 binary32))) (fma.f32 x x (-.f32 (.f32 #s(approx (sqrt (- ( x x) 1)) x) #s(approx (sqrt (- (* x x) 1)) x)) (.f32 x #s(approx (sqrt (- ( x x) 1)) x)))))
(+.f32 #s(approx (sqrt (- (* x x) 1)) x) x)
(+.f32 x #s(approx (sqrt (- (* x x) 1)) x))
#s(approx (sqrt (- (* x x) 1)) x)
#s(approx (acosh x) (fma.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))))
(/.f32 (-.f32 (.f32 (neg.f32 (neg.f32 (log.f32 x))) (neg.f32 (neg.f32 (log.f32 x)))) (.f32 (log.f32 #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32)))) (-.f32 (neg.f32 (neg.f32 (log.f32 x))) (log.f32 #s(literal 2 binary32))))
(/.f32 (-.f32 (.f32 (log.f32 #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32))) (.f32 (neg.f32 (neg.f32 (log.f32 x))) (neg.f32 (neg.f32 (log.f32 x))))) (-.f32 (log.f32 #s(literal 2 binary32)) (neg.f32 (neg.f32 (log.f32 x)))))
(/.f32 (+.f32 (pow.f32 (neg.f32 (neg.f32 (log.f32 x))) #s(literal 3 binary32)) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32))) (fma.f32 (neg.f32 (neg.f32 (log.f32 x))) (neg.f32 (neg.f32 (log.f32 x))) (-.f32 (.f32 (log.f32 #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32))) (.f32 (neg.f32 (neg.f32 (log.f32 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 (neg.f32 (log.f32 x))) #s(literal 3 binary32))) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32)) (-.f32 (.f32 (neg.f32 (neg.f32 (log.f32 x))) (neg.f32 (neg.f32 (log.f32 x)))) (.f32 (log.f32 #s(literal 2 binary32)) (neg.f32 (neg.f32 (log.f32 x)))))))
(-.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (neg.f32 (log.f32 x))))
(fma.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32)))
(fma.f32 #s(literal -1 binary32) (neg.f32 (log.f32 x)) (log.f32 #s(literal 2 binary32)))
(+.f32 (neg.f32 (neg.f32 (log.f32 x))) (log.f32 #s(literal 2 binary32)))
(+.f32 (log.f32 #s(literal 2 binary32)) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (/.f32 #s(literal 1 binary32) x))
(*.f32 (log.f32 x) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (log.f32 x))
(-.f32 #s(literal 0 binary32) (log.f32 x))
(neg.f32 (log.f32 x))
(log.f32 x)
#s(literal -1 binary32)
(log.f32 #s(literal 2 binary32))
#s(literal 2 binary32)
(log.f32 #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 (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) x))
(.f32 (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) x)
(.f32 x (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))))
(/.f32 (-.f32 #s(literal 4 binary32) (.f32 (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 2 binary32) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))))
(/.f32 (-.f32 #s(literal 8 binary32) (pow.f32 (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) #s(literal 3 binary32))) (+.f32 #s(literal 4 binary32) (fma.f32 (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))))))
(-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)))
(+.f32 #s(literal 2 binary32) (*.f32 (neg.f32 (pow.f32 x #s(literal -2 binary32))) #s(literal 1/2 binary32)))
(+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))
(*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal -2 binary32)))
(/.f32 #s(literal -1/2 binary32) (neg.f32 (*.f32 x x)))
(/.f32 #s(literal 1/2 binary32) (*.f32 x x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 x x))
(pow.f32 (*.f32 x x) #s(literal -1 binary32))
(pow.f32 x #s(literal -2 binary32))
(exp.f32 (*.f32 (log.f32 x) #s(literal -2 binary32)))
#s(literal -2 binary32)
#s(literal 1/2 binary32)
#s(approx (acosh 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))))
(/.f32 (-.f32 (.f32 (fma.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))) (fma.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32)))) (.f32 (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32)) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32)))) (+.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 (-.f32 (pow.f32 (fma.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))) #s(literal 3 binary32)) (pow.f32 (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32)) #s(literal 3 binary32))) (fma.f32 (fma.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))) (fma.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))) (fma.f32 (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32)) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32)) (.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 (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)))
(fma.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32) (-.f32 (log.f32 #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32))))
(fma.f32 #s(literal -1 binary32) (neg.f32 (log.f32 x)) (-.f32 (log.f32 #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32))))
(+.f32 (neg.f32 (neg.f32 (log.f32 x))) (-.f32 (log.f32 #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32))))
(+.f32 (fma.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))) (*.f32 (neg.f32 (pow.f32 x #s(literal -2 binary32))) #s(literal 1/4 binary32)))
(+.f32 (fma.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))) (*.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32))))
(+.f32 (log.f32 #s(literal 2 binary32)) (-.f32 (neg.f32 (neg.f32 (log.f32 x))) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32))))
(*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32))
(*.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal -2 binary32)))
(/.f32 #s(literal -1/4 binary32) (neg.f32 (*.f32 x x)))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
#s(literal 1/4 binary32)
#s(approx (acosh x) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
#s(approx (acosh x) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (acosh x) (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 (acosh x) (fma.f32 (fma.f32 (-.f32 (/.f32 (.f32 #s(literal 3/40 binary32) (.f32 x x)) (pow.f32 #s(literal -1 binary32) #s(literal 5/2 binary32))) (/.f32 #s(literal 1/6 binary32) (pow.f32 #s(literal -1 binary32) #s(literal 3/2 binary32)))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx x x)
#s(approx (acosh x) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
#s(approx (acosh x) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (acosh x) (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 (acosh x) (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 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32))))
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 x x) (pow.f32 #s(literal -1 binary32) #s(literal 3/2 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32))))
#s(approx (sqrt (- (* x x) 1)) (sqrt.f32 #s(literal -1 binary32)))
#s(approx (sqrt (- (* x x) 1)) (fma.f32 (/.f32 (*.f32 x x) (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (sqrt (- (* x x) 1)) (fma.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (.f32 x x) (pow.f32 #s(literal -1 binary32) #s(literal 3/2 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (.f32 x x) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (sqrt (- (* x x) 1)) (fma.f32 (fma.f32 (-.f32 (/.f32 (.f32 #s(literal 1/16 binary32) (.f32 x x)) (pow.f32 #s(literal -1 binary32) #s(literal 5/2 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 #s(literal -1 binary32) #s(literal 3/2 binary32)))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (.f32 x x) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (+ (* (neg (log x)) -1) (log 2)) (log.f32 (*.f32 #s(literal 2 binary32) x)))
#s(approx (neg (log x)) (neg.f32 (log.f32 x)))
#s(approx (log x) (log.f32 x))
#s(approx (* (- 2 (* (pow x -2) 1/2)) x) (/.f32 #s(literal -1/2 binary32) x))
#s(approx (* (- 2 (* (pow x -2) 1/2)) x) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 2 binary32)) #s(literal 1/2 binary32)) x))
#s(approx (- 2 (* (pow x -2) 1/2)) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))
#s(approx (- 2 (* (pow x -2) 1/2)) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 2 binary32)) #s(literal 1/2 binary32)) (*.f32 x x)))
#s(approx (* (pow x -2) 1/2) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow x -2) (pow.f32 x #s(literal -2 binary32)))
#s(approx (- (+ (* (neg (log x)) -1) (log 2)) (* (pow x -2) 1/4)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
#s(approx (- (+ (* (neg (log x)) -1) (log 2)) (* (pow x -2) 1/4)) (/.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 x x)))
#s(approx (* (pow x -2) 1/4) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32)))
#s(approx (acosh x) (fma.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))))
#s(approx (acosh 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 (acosh x) (fma.f32 #s(literal -1 binary32) (fma.f32 (log.f32 x) #s(literal -1 binary32) (/.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 (acosh x) (-.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 (log.f32 x) #s(literal -1 binary32) (/.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 (acosh x) (fma.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))))
#s(approx (acosh 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 (acosh x) (fma.f32 #s(literal -1 binary32) (fma.f32 (log.f32 x) #s(literal -1 binary32) (/.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 (acosh x) (-.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 (log.f32 x) #s(literal -1 binary32) (/.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 (+ (* (neg (log x)) -1) (log 2)) (fma.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))))
#s(approx (neg (log x)) (neg.f32 (log.f32 x)))
#s(approx (log x) (neg.f32 (neg.f32 (log.f32 x))))
#s(approx (* (- 2 (* (pow x -2) 1/2)) x) (*.f32 #s(literal 2 binary32) x))
#s(approx (* (- 2 (* (pow x -2) 1/2)) x) (.f32 (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) x))
#s(approx (- 2 (* (pow x -2) 1/2)) #s(literal 2 binary32))
#s(approx (- 2 (* (pow x -2) 1/2)) (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))))
#s(approx (- (+ (* (neg (log x)) -1) (log 2)) (* (pow x -2) 1/4)) (fma.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))))
#s(approx (- (+ (* (neg (log x)) -1) (log 2)) (* (pow x -2) 1/4)) (-.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 (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 (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 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32) #s(literal 1/8 binary32)) (*.f32 x x))) #s(literal 1/2 binary32)) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 5/128 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32))) x)))
#s(approx (sqrt (- (* x x) 1)) (neg.f32 x))
#s(approx (sqrt (- (* x x) 1)) (.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)))))
#s(approx (sqrt (- (* x x) 1)) (.f32 (neg.f32 x) (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (.f32 x x)) #s(literal -1 binary32) #s(literal 1 binary32))))
#s(approx (sqrt (- (* x x) 1)) (.f32 (neg.f32 x) (-.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/16 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)))))
#s(approx (+ (* (neg (log x)) -1) (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 (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 (* (- 2 (* (pow x -2) 1/2)) x) (.f32 (neg.f32 x) (-.f32 (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32))))
#s(approx (- (+ (* (neg (log x)) -1) (log 2)) (* (pow x -2) 1/4)) (+.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 (- (+ (* (neg (log x)) -1) (log 2)) (* (pow x -2) 1/4)) (-.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))))

eval38.0ms (2.4%)

Memory: -25.2MiB live, 20.9MiB allocated; 2ms collecting garbage
Compiler: Compiled 4 049 to 588 computations (85.5% saved)

prune4.0ms (0.3%)

Memory

11.0MiB live, 11.0MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	168	4	172
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	171	6	177

Accuracy

100.0%

Counts

177 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.1%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
▶	98.9%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) x)))
▶	56.8%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) #s(approx (* (- 2 (* (pow x -2) 1/2)) x) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 2 binary32)) #s(literal 1/2 binary32)) x))))
✓	99.2%	(acosh.f32 x)
▶	96.1%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (neg.f32 (neg.f32 (log.f32 x))) (log.f32 #s(literal 2 binary32))))
▶	5.2%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (* (neg (log x)) -1) (log 2)) (* (pow x -2) 1/4)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))

Compiler

Compiled 108 to 84 computations (22.2% saved)

series59.0ms (3.7%)

Memory

3.0MiB live, 97.0MiB allocated; 12ms collecting garbage

Counts

25 → 70

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
25.0ms	x	@	inf	((log (+ x (sqrt (- (* x x) 1)))) (- (+ (* (neg (log x)) -1) (log 2)) (* (pow x -2) 1/4)) (/ -1/4 (* x x)) -1/4 (* x x) x (log (+ x (sqrt (- (* x x) 1)))) (+ (neg (neg (log x))) (log 2)) (neg (neg (log x))) (neg (log x)) (log x) (log 2) 2 (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* (- 2 (* (pow x -2) 1/2)) x) (/ (- (* (* x x) 2) 1/2) x) (- (* (* x x) 2) 1/2) (* (* x x) 2) 1/2 (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* (- 2 (/ 1/2 (* x x))) x) (- 2 (/ 1/2 (* x x))) (/ 1/2 (* x x)))
18.0ms	x	@	-inf	((log (+ x (sqrt (- (* x x) 1)))) (- (+ (* (neg (log x)) -1) (log 2)) (* (pow x -2) 1/4)) (/ -1/4 (* x x)) -1/4 (* x x) x (log (+ x (sqrt (- (* x x) 1)))) (+ (neg (neg (log x))) (log 2)) (neg (neg (log x))) (neg (log x)) (log x) (log 2) 2 (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* (- 2 (* (pow x -2) 1/2)) x) (/ (- (* (* x x) 2) 1/2) x) (- (* (* x x) 2) 1/2) (* (* x x) 2) 1/2 (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* (- 2 (/ 1/2 (* x x))) x) (- 2 (/ 1/2 (* x x))) (/ 1/2 (* x x)))
15.0ms	x	@	0	((log (+ x (sqrt (- (* x x) 1)))) (- (+ (* (neg (log x)) -1) (log 2)) (* (pow x -2) 1/4)) (/ -1/4 (* x x)) -1/4 (* x x) x (log (+ x (sqrt (- (* x x) 1)))) (+ (neg (neg (log x))) (log 2)) (neg (neg (log x))) (neg (log x)) (log x) (log 2) 2 (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* (- 2 (* (pow x -2) 1/2)) x) (/ (- (* (* x x) 2) 1/2) x) (- (* (* x x) 2) 1/2) (* (* x x) 2) 1/2 (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* (- 2 (/ 1/2 (* x x))) x) (- 2 (/ 1/2 (* x x))) (/ 1/2 (* x x)))

Time

Variable

Point

Expression

25.0ms

inf

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

18.0ms

-inf

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

15.0ms

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

rewrite64.0ms (4%)

Memory

-6.9MiB live, 84.9MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	265	1604
0	288	1274
0	1405	1255

Stop Event

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

Counts

95 → 143

Calls

Call 1

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

Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (* (neg (log x)) -1) (log 2)) (* (pow x -2) 1/4)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
#s(approx (- (+ (* (neg (log x)) -1) (log 2)) (* (pow x -2) 1/4)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(/.f32 (/.f32 #s(literal -1/4 binary32) x) x)
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 #s(literal 1/4 binary32) (neg.f32 (*.f32 x x)))
#s(literal -1/4 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)))
x
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f32 (*.f32 #s(literal 2 binary32) 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 (.f32 (log.f32 x) (log.f32 x)) (.f32 (log.f32 #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32)))) (-.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))
(/.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 (+.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32))) (fma.f32 (log.f32 x) (log.f32 x) (-.f32 (.f32 (log.f32 #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32))) (.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))))
(-.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (neg.f32 (log.f32 x))))
(fma.f32 #s(literal -1 binary32) (neg.f32 (log.f32 x)) (log.f32 #s(literal 2 binary32)))
(fma.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32)))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(log.f32 (pow.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))
(log.f32 x)
(*.f32 #s(literal -1 binary32) (neg.f32 (log.f32 x)))
(*.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32))
(neg.f32 (neg.f32 (log.f32 x)))
(log.f32 (/.f32 #s(literal 1 binary32) x))
(*.f32 #s(literal -1 binary32) (log.f32 x))
(*.f32 (log.f32 x) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (log.f32 x))
(neg.f32 (log.f32 x))
(log.f32 (pow.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))
(log.f32 x)
(*.f32 #s(literal -1 binary32) (neg.f32 (log.f32 x)))
(*.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32))
(neg.f32 (neg.f32 (log.f32 x)))
(log.f32 #s(literal 2 binary32))
#s(literal 2 binary32)
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) #s(approx (* (- 2 (* (pow x -2) 1/2)) x) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 2 binary32)) #s(literal 1/2 binary32)) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(approx (* (- 2 (* (pow x -2) 1/2)) x) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 2 binary32)) #s(literal 1/2 binary32)) x)))
#s(approx (* (- 2 (* (pow x -2) 1/2)) x) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 2 binary32)) #s(literal 1/2 binary32)) x))
(/.f32 (neg.f32 (-.f32 (.f32 (.f32 x x) #s(literal 2 binary32)) #s(literal 1/2 binary32))) (neg.f32 x))
(/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 2 binary32)) #s(literal 1/2 binary32)) x)
(-.f32 (/.f32 (.f32 (.f32 x x) #s(literal 2 binary32)) x) (/.f32 #s(literal 1/2 binary32) x))
(/.f32 (-.f32 (.f32 (.f32 (.f32 x x) #s(literal 2 binary32)) (.f32 (.f32 x x) #s(literal 2 binary32))) #s(literal 1/4 binary32)) (fma.f32 (.f32 x x) #s(literal 2 binary32) #s(literal 1/2 binary32)))
(/.f32 (-.f32 (pow.f32 (.f32 (.f32 x x) #s(literal 2 binary32)) #s(literal 3 binary32)) #s(literal 1/8 binary32)) (fma.f32 (.f32 (.f32 x x) #s(literal 2 binary32)) (.f32 (.f32 x x) #s(literal 2 binary32)) (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 x x) #s(literal 2 binary32)) #s(literal 1/2 binary32)))))
(-.f32 (.f32 (.f32 x x) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(.f32 (.f32 x x) #s(literal 2 binary32))
(.f32 #s(literal 2 binary32) (.f32 x x))
(.f32 x (.f32 #s(literal 2 binary32) x))
(fma.f32 (pow.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 1 binary32)) (*.f32 x x))
(fma.f32 (neg.f32 x) (neg.f32 x) (*.f32 x x))
(fma.f32 (fabs.f32 x) (fabs.f32 x) (*.f32 x x))
(fma.f32 x x (*.f32 x x))
(+.f32 (.f32 x x) (.f32 x x))
#s(literal 1/2 binary32)
(log.f32 #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 (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) x))
(.f32 (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) x)
(.f32 x (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))))
(/.f32 (-.f32 #s(literal 4 binary32) (.f32 (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 2 binary32) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))))
(/.f32 (-.f32 #s(literal 8 binary32) (pow.f32 (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) #s(literal 3 binary32))) (+.f32 #s(literal 4 binary32) (fma.f32 (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))))))
(-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)))
(+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))
(+.f32 #s(literal 2 binary32) (*.f32 (neg.f32 (pow.f32 x #s(literal -2 binary32))) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal -2 binary32)))
(/.f32 (/.f32 #s(literal 1/2 binary32) x) x)
(/.f32 #s(literal -1/2 binary32) (neg.f32 (*.f32 x x)))
(/.f32 #s(literal 1/2 binary32) (*.f32 x x))
#s(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 (- (+ (* (neg (log x)) -1) (log 2)) (* (pow x -2) 1/4)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
#s(approx (- (+ (* (neg (log x)) -1) (log 2)) (* (pow x -2) 1/4)) (/.f32 (-.f32 (.f32 (.f32 x x) (log.f32 (.f32 #s(literal 2 binary32) x))) #s(literal 1/4 binary32)) (.f32 x x)))
#s(approx (/ -1/4 (* x x)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
#s(approx (* x x) (*.f32 x x))
#s(approx x x)
#s(approx (+ (neg (neg (log x))) (log 2)) (log.f32 (*.f32 #s(literal 2 binary32) x)))
#s(approx (neg (neg (log x))) (log.f32 x))
#s(approx (neg (log x)) (neg.f32 (log.f32 x)))
#s(approx (neg (neg (log x))) (log.f32 x))
#s(approx (+ x (sqrt (- (* x x) 1))) (sqrt.f32 #s(literal -1 binary32)))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (sqrt.f32 #s(literal -1 binary32)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32))))
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 (fma.f32 (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 (* (- 2 (* (pow x -2) 1/2)) x) (/.f32 #s(literal -1/2 binary32) x))
#s(approx (* (- 2 (* (pow x -2) 1/2)) x) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 2 binary32)) #s(literal 1/2 binary32)) x))
#s(approx (/ (- (* (* x x) 2) 1/2) x) (/.f32 #s(literal -1/2 binary32) x))
#s(approx (/ (- (* (* x x) 2) 1/2) x) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 2 binary32)) #s(literal 1/2 binary32)) x))
#s(approx (- (* (* x x) 2) 1/2) #s(literal -1/2 binary32))
#s(approx (- (* (* x x) 2) 1/2) (-.f32 (.f32 (.f32 x x) #s(literal 2 binary32)) #s(literal 1/2 binary32)))
#s(approx (* (* x x) 2) (.f32 (.f32 x x) #s(literal 2 binary32)))
#s(approx (* (- 2 (* (pow x -2) 1/2)) x) (/.f32 #s(literal -1/2 binary32) x))
#s(approx (* (- 2 (* (pow x -2) 1/2)) x) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 2 binary32)) #s(literal 1/2 binary32)) x))
#s(approx (- 2 (/ 1/2 (* x x))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))
#s(approx (- 2 (/ 1/2 (* x x))) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 2 binary32)) #s(literal 1/2 binary32)) (*.f32 x x)))
#s(approx (/ 1/2 (* x x)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f32 (*.f32 #s(literal 2 binary32) x)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (neg.f32 (/.f32 (fma.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32)) (.f32 x x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (neg.f32 (/.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))))) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32))))
#s(approx (- (+ (* (neg (log x)) -1) (log 2)) (* (pow x -2) 1/4)) (log.f32 (*.f32 #s(literal 2 binary32) x)))
#s(approx (- (+ (* (neg (log x)) -1) (log 2)) (* (pow x -2) 1/4)) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32))))
#s(approx (+ (neg (neg (log x))) (log 2)) (log.f32 (*.f32 #s(literal 2 binary32) x)))
#s(approx (neg (neg (log x))) (log.f32 x))
#s(approx (neg (log x)) (neg.f32 (log.f32 x)))
#s(approx (neg (neg (log x))) (log.f32 x))
#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 #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 2 binary32)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f32 (-.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 2 binary32)) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) x))
#s(approx (* (- 2 (* (pow x -2) 1/2)) x) (*.f32 #s(literal 2 binary32) x))
#s(approx (* (- 2 (* (pow x -2) 1/2)) x) (.f32 (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) x))
#s(approx (/ (- (* (* x x) 2) 1/2) x) (*.f32 #s(literal 2 binary32) x))
#s(approx (/ (- (* (* x x) 2) 1/2) x) (.f32 (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) x))
#s(approx (- (* (* x x) 2) 1/2) (.f32 (.f32 x x) #s(literal 2 binary32)))
#s(approx (- (* (* x x) 2) 1/2) (.f32 (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) (*.f32 x x)))
#s(approx (* (- 2 (* (pow x -2) 1/2)) x) (*.f32 #s(literal 2 binary32) x))
#s(approx (* (- 2 (* (pow x -2) 1/2)) x) (.f32 (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) x))
#s(approx (- 2 (/ 1/2 (* x x))) #s(literal 2 binary32))
#s(approx (- 2 (/ 1/2 (* x x))) (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (+.f32 (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 5/96 binary32) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))))
#s(approx (- (+ (* (neg (log x)) -1) (log 2)) (* (pow x -2) 1/4)) (+.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 (- (+ (* (neg (log x)) -1) (log 2)) (* (pow x -2) 1/4)) (-.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 (+ (neg (neg (log 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 (neg (neg (log x))) (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 (neg (neg (log x))) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (log.f32 #s(literal -1 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 (* (- 2 (* (pow x -2) 1/2)) x) (neg.f32 (.f32 (-.f32 (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) x)))
#s(approx (/ (- (* (* x x) 2) 1/2) x) (neg.f32 (.f32 (-.f32 (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) x)))
#s(approx (* (- 2 (* (pow x -2) 1/2)) x) (neg.f32 (.f32 (-.f32 (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) x)))

eval11.0ms (0.7%)

Memory: 28.0MiB live, 28.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 4 089 to 638 computations (84.4% saved)

prune87.0ms (5.5%)

Memory

-57.7MiB live, 25.5MiB allocated; 139ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	154	2	156
Fresh	0	0	0
Picked	1	3	4
Done	0	2	2
Total	155	7	162

Accuracy

100.0%

Counts

162 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.1%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
✓	98.9%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) x)))
✓	56.8%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) #s(approx (* (- 2 (* (pow x -2) 1/2)) x) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 2 binary32)) #s(literal 1/2 binary32)) x))))
✓	99.2%	(acosh.f32 x)
▶	96.1%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))
▶	5.2%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (* (neg (log x)) -1) (log 2)) (* (pow x -2) 1/4)) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))
✓	5.2%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (* (neg (log x)) -1) (log 2)) (* (pow x -2) 1/4)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))

Compiler

Compiled 136 to 106 computations (22.1% saved)

series49.0ms (3.1%)

Memory

3.1MiB live, 101.6MiB allocated; 11ms collecting garbage

Counts

11 → 27

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
18.0ms	x	@	inf	((log (+ x (sqrt (- (* x x) 1)))) (- (+ (* (neg (log x)) -1) (log 2)) (* (pow x -2) 1/4)) (/ (/ -1/4 x) x) (/ -1/4 x) -1/4 x (log (+ x (sqrt (- (* x x) 1)))) (+ (log x) (log 2)) (log x) (log 2) 2)
16.0ms	x	@	-inf	((log (+ x (sqrt (- (* x x) 1)))) (- (+ (* (neg (log x)) -1) (log 2)) (* (pow x -2) 1/4)) (/ (/ -1/4 x) x) (/ -1/4 x) -1/4 x (log (+ x (sqrt (- (* x x) 1)))) (+ (log x) (log 2)) (log x) (log 2) 2)
14.0ms	x	@	0	((log (+ x (sqrt (- (* x x) 1)))) (- (+ (* (neg (log x)) -1) (log 2)) (* (pow x -2) 1/4)) (/ (/ -1/4 x) x) (/ -1/4 x) -1/4 x (log (+ x (sqrt (- (* x x) 1)))) (+ (log x) (log 2)) (log x) (log 2) 2)

Time

Variable

Point

Expression

18.0ms

inf

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

16.0ms

-inf

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

14.0ms

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

rewrite44.0ms (2.8%)

Memory

18.1MiB live, 64.8MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	686
0	144	522
0	807	512

Stop Event

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

Counts

38 → 49

Calls

Call 1

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

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

eval4.0ms (0.2%)

Memory: 9.1MiB live, 9.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 359 to 206 computations (84.8% saved)

prune10.0ms (0.6%)

Memory

-32.7MiB live, 16.3MiB allocated; 4ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	52	7	59

Accuracy

100.0%

Counts

59 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.1%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
✓	98.9%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) x)))
✓	56.8%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) #s(approx (* (- 2 (* (pow x -2) 1/2)) x) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 2 binary32)) #s(literal 1/2 binary32)) x))))
✓	99.2%	(acosh.f32 x)
✓	96.1%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))
✓	5.2%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (* (neg (log x)) -1) (log 2)) (* (pow x -2) 1/4)) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))
✓	5.2%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (* (neg (log x)) -1) (log 2)) (* (pow x -2) 1/4)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))

Compiler

Compiled 357 to 182 computations (49% saved)

regimes12.0ms (0.7%)

Memory

26.2MiB live, 26.2MiB allocated; 0ms collecting garbage

Counts

12 → 1

Calls

Call 1

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

Outputs
(acosh.f32 x)

Calls

3 calls:

4.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
4.0ms	x
3.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))

Results

Accuracy	Segments	Branch
99.2%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`
99.2%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
99.2%	1	`x`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes4.0ms (0.3%)

Memory

11.1MiB live, 11.1MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
5.2%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`
5.2%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
5.2%	1	`x`

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify45.0ms (2.9%)

Memory

-27.4MiB live, 66.4MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	32
1	46	31
2	101	29
3	264	29
4	862	29
5	5282	29

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations9.0ms (0.5%)

Memory

15.4MiB live, 15.4MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 32 to 25 computations (21.9% saved)

preprocess15.0ms (1%)

Memory: -13.0MiB live, 33.8MiB allocated; 3ms collecting garbage
Compiler: Compiled 106 to 82 computations (22.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample476.0ms (30.1%)

explain123.0ms (7.8%)

preprocess143.0ms (9%)

eval0.0ms (0%)

prune0.0ms (0%)

series87.0ms (5.5%)

rewrite79.0ms (5%)

eval6.0ms (0.4%)

prune4.0ms (0.2%)

series143.0ms (9%)

rewrite66.0ms (4.2%)

eval38.0ms (2.4%)

prune4.0ms (0.3%)

series59.0ms (3.7%)

rewrite64.0ms (4%)

eval11.0ms (0.7%)

prune87.0ms (5.5%)

series49.0ms (3.1%)

rewrite44.0ms (2.8%)

eval4.0ms (0.2%)

prune10.0ms (0.6%)

regimes12.0ms (0.7%)

regimes4.0ms (0.3%)

simplify45.0ms (2.9%)

derivations9.0ms (0.5%)

preprocess15.0ms (1%)

end0.0ms (0%)

Profiling