Metrics for Rust f32::acosh

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample469.0ms (44.9%)

Memory

-14.3MiB live, 746.1MiB allocated; 136ms collecting garbage

Samples

338.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 170.0ms

ival-acosh: 169.0ms (99.3% of total)

adjust: 2.0ms (1.2% of total)

Bogosity

explain178.0ms (17%)

Memory

-8.5MiB live, 202.1MiB allocated; 106ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
136	-	-	`(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))`
3	-	-	`(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	136	0
↳	`(*.f32 x x)`	overflow	136
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	136
`log.f32`	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`	oflow-rescue	3	0
↳	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`	overflow	3
↳	`(*.f32 x x)`	overflow	136
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	136

Confusion

	Predicted +	Predicted -
+	136	0
-	0	120

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	136	0	0
-	0	0	120

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	120
1	133
2	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

30.0ms

512×

valid

Compiler

Compiled 79 to 25 computations (68.4% saved)

Precisions

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

ival-sqrt: 8.0ms (41.8% of total)

ival-log: 5.0ms (26.1% of total)

ival-mult!: 3.0ms (15.7% of total)

ival-sub!: 1.0ms (5.2% of total)

ival-add!: 1.0ms (5.2% of total)

adjust: 0.0ms (0% of total)

preprocess125.0ms (12%)

Memory

21.5MiB live, 117.5MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.2%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

series8.0ms (0.7%)

Memory

-32.5MiB live, 13.7MiB allocated; 3ms 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
3.0ms	x	@	0	((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) x (sqrt (- (* x x) 1)) (- (* x x) 1) (* x x) 1)
2.0ms	x	@	-inf	((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) x (sqrt (- (* x x) 1)) (- (* x x) 1) (* x x) 1)
2.0ms	x	@	inf	((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) x (sqrt (- (* x x) 1)) (- (* x x) 1) (* x x) 1)

Time

Variable

Point

Expression

3.0ms

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

2.0ms

-inf

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

2.0ms

inf

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

rewrite58.0ms (5.5%)

Memory

33.9MiB live, 80.3MiB allocated; 3ms 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)))))

eval7.0ms (0.7%)

Memory: -35.1MiB live, 11.3MiB allocated; 2ms collecting garbage
Compiler: Compiled 1 186 to 316 computations (73.4% saved)

prune2.0ms (0.2%)

Memory

5.1MiB live, 5.1MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	65	4	69

Accuracy

100.0%

Counts

69 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.2%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
▶	97.2%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
▶	98.5%	(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)))
▶	99.3%	(acosh.f32 x)

Compiler

Compiled 41 to 32 computations (22% saved)

series5.0ms (0.5%)

Memory

12.8MiB live, 12.8MiB allocated; 0ms collecting garbage

Counts

14 → 60

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

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

1.0ms

-inf

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

1.0ms

inf

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

rewrite66.0ms (6.3%)

Memory

-4.6MiB live, 91.8MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	237	1425
0	247	1117
0	1275	1077

Stop Event

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

Counts

74 → 91

Calls

Call 1

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

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

eval7.0ms (0.6%)

Memory: 18.4MiB live, 18.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 818 to 372 computations (79.5% saved)

prune3.0ms (0.3%)

Memory

8.3MiB live, 8.3MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	85	4	89

Accuracy

100.0%

Counts

89 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.2%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	97.2%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
▶	98.5%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) x)))
✓	99.3%	(acosh.f32 x)

Compiler

Compiled 41 to 31 computations (24.4% saved)

series7.0ms (0.6%)

Memory

-34.2MiB live, 12.0MiB allocated; 4ms collecting garbage

Counts

9 → 36

Calls

Call 1

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

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

1.0ms

-inf

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

1.0ms

inf

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

rewrite48.0ms (4.6%)

Memory

30.9MiB live, 78.2MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	184	851
0	191	658
0	1061	637

Stop Event

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

Counts

45 → 58

Calls

Call 1

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

Outputs
(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))))
#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 (/.f32 #s(literal 1/2 binary32) x) x)
(/.f32 #s(literal -1/2 binary32) (neg.f32 (*.f32 x x)))
(/.f32 #s(literal 1/2 binary32) (*.f32 x x))
#s(literal 1/2 binary32)
(*.f32 (pow.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 1 binary32)))
(*.f32 (neg.f32 x) (neg.f32 x))
(*.f32 (fabs.f32 x) (fabs.f32 x))
(*.f32 x x)
(pow.f32 x #s(literal 2 binary32))
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
x
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (pow.f32 #s(literal -1 binary32) #s(literal 3/2 binary32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f32 (fma.f32 (-.f32 (/.f32 (.f32 #s(literal 3/40 binary32) (.f32 x x)) (pow.f32 #s(literal -1 binary32) #s(literal 5/2 binary32))) (/.f32 #s(literal 1/6 binary32) (pow.f32 #s(literal -1 binary32) #s(literal 3/2 binary32)))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (+ x (sqrt (- (* x x) 1))) (sqrt.f32 #s(literal -1 binary32)))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (sqrt.f32 #s(literal -1 binary32)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 (fma.f32 (/.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 (/ 1/2 (* x x))) x) (/.f32 #s(literal -1/2 binary32) x))
#s(approx (* (- 2 (/ 1/2 (* x x))) 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 (* x x) (*.f32 x x))
#s(approx 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 #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 (/ 1/2 (* x x))) x) (*.f32 #s(literal 2 binary32) x))
#s(approx (* (- 2 (/ 1/2 (* x x))) 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 (+ 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 (/ 1/2 (* x x))) 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 (1.1%)

Memory: -30.6MiB live, 22.1MiB allocated; 3ms collecting garbage
Compiler: Compiled 1 384 to 297 computations (78.5% saved)

prune3.0ms (0.3%)

Memory

7.9MiB live, 7.9MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	61	4	65

Accuracy

100.0%

Counts

65 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.2%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	97.2%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
✓	98.5%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) x)))
✓	99.3%	(acosh.f32 x)

Compiler

Compiled 101 to 61 computations (39.6% saved)

regimes6.0ms (0.6%)

Memory

9.3MiB live, 9.3MiB allocated; 0ms collecting garbage

Accuracy

Total -16.3b remaining (-6956.3%)

Threshold costs -16.3b (-6956.3%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(acosh.f32 x)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.3%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`
99.3%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
99.3%	1	`x`

Compiler

Compiled 18 to 14 computations (22.2% saved)

derivations3.0ms (0.3%)

Memory

3.9MiB live, 3.9MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 2 to 2 computations (0% saved)

preprocess38.0ms (3.6%)

Memory: -22.4MiB live, 24.2MiB allocated; 3ms collecting garbage
Compiler: Compiled 46 to 36 computations (21.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample469.0ms (44.9%)

explain178.0ms (17%)

preprocess125.0ms (12%)

eval0.0ms (0%)

prune0.0ms (0%)

series8.0ms (0.7%)

rewrite58.0ms (5.5%)

eval7.0ms (0.7%)

prune2.0ms (0.2%)

series5.0ms (0.5%)

rewrite66.0ms (6.3%)

eval7.0ms (0.6%)

prune3.0ms (0.3%)

series7.0ms (0.6%)

rewrite48.0ms (4.6%)

eval11.0ms (1.1%)

prune3.0ms (0.3%)

regimes6.0ms (0.6%)

derivations3.0ms (0.3%)

preprocess38.0ms (3.6%)

end0.0ms (0%)

Profiling