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)

sample737.0ms (24.6%)

Memory

3.9MiB live, 834.1MiB allocated; 230ms collecting garbage

Samples

412.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 196.0ms

ival-acosh: 120.0ms (61.3% of total)

ival->=: 63.0ms (32.2% of total)

exact: 6.0ms (3.1% of total)

ival-assert: 4.0ms (2% of total)

adjust: 2.0ms (1% of total)

Bogosity

explain114.0ms (3.8%)

Memory

5.7MiB live, 340.4MiB allocated; 41ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
120	-	-	`(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))`
1	-	-	`(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	120	0
↳	`(*.f32 x x)`	overflow	120
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	120
`log.f32`	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`	oflow-rescue	1	0
↳	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`	overflow	1
↳	`(*.f32 x x)`	overflow	120
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	120

Confusion

	Predicted +	Predicted -
+	120	0
-	0	136

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	136
1	119
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

37.0ms

512×

valid

Compiler

Compiled 79 to 25 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 6.0ms (25.9% of total)

ival-log: 5.0ms (21.6% of total)

ival-add: 4.0ms (17.3% of total)

ival-sqrt: 4.0ms (17.3% of total)

ival-sub: 3.0ms (13% 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)

preprocess234.0ms (7.8%)

Memory

27.0MiB live, 175.8MiB allocated; 68ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
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

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.1%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

series9.0ms (0.3%)

Memory

-33.6MiB live, 13.1MiB allocated; 10ms collecting garbage

Counts

7 → 39

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
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (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)))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
x
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (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))))))
-1
(- (pow x 2) 1)
(pow x 2)
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(* -1 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(* -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
6.0ms	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

6.0ms

-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)

simplify177.0ms (5.9%)

Memory

34.1MiB live, 265.9MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	525
1	470	499
2	1775	482
0	7753	463

Stop Event

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

Counts

39 → 38

Calls

Call 1

Inputs
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (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)))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
x
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (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))))))
-1
(- (pow x 2) 1)
(pow x 2)
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(* -1 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))

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

rewrite68.0ms (2.3%)

Memory

13.4MiB live, 57.7MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	33
0	12	20
1	53	20
0	400	19

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

7 → 88

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
(acosh.f32 x)
(log.f32 (+.f32 (sinh.f32 (acosh.f32 x)) x))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)))) (log.f32 (-.f32 x (sinh.f32 (acosh.f32 x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x))))
(/.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x)) (-.f32 (sinh.f32 (acosh.f32 x)) x))
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)))) (neg.f32 (-.f32 x (sinh.f32 (acosh.f32 x)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x))))
(/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32))) (-.f32 x (sinh.f32 (acosh.f32 x))))
(/.f32 (+.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (+.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 (.f32 x x) (.f32 (sinh.f32 (acosh.f32 x)) x))))
(/.f32 (+.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x)))
(-.f32 (/.f32 (*.f32 x x) (-.f32 x (sinh.f32 (acosh.f32 x)))) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sinh.f32 (acosh.f32 x)))))
(fma.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) x)
(fma.f32 (sqrt.f32 (-.f32 x #s(literal -1 binary32))) (sqrt.f32 (-.f32 x #s(literal 1 binary32))) x)
(fma.f32 (pow.f32 (-.f32 x #s(literal -1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32)) x)
(+.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (.f32 x x))) (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (.f32 x x))))
(+.f32 (sinh.f32 (acosh.f32 x)) x)
(+.f32 x (sinh.f32 (acosh.f32 x)))
x
(*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (-.f32 x #s(literal -1 binary32))) (sqrt.f32 (-.f32 x #s(literal 1 binary32))))
(*.f32 (pow.f32 (-.f32 x #s(literal -1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (+.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (-.f32 (exp.f32 (acosh.f32 x)) (exp.f32 (neg.f32 (acosh.f32 x)))) #s(literal 2 binary32))
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1/2 binary32)))
(sinh.f32 (acosh.f32 (neg.f32 x)))
(sinh.f32 (acosh.f32 (fabs.f32 x)))
(sinh.f32 (acosh.f32 x))
(expm1.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
(*.f32 (+.f32 (neg.f32 x) #s(literal 1 binary32)) (-.f32 (neg.f32 x) #s(literal 1 binary32)))
(*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (-.f32 (fabs.f32 x) #s(literal 1 binary32)))
(*.f32 (neg.f32 (sinh.f32 (acosh.f32 x))) (neg.f32 (sinh.f32 (acosh.f32 x))))
(*.f32 (fabs.f32 (sinh.f32 (acosh.f32 x))) (fabs.f32 (sinh.f32 (acosh.f32 x))))
(*.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 x #s(literal -1 binary32)))
(*.f32 (-.f32 x #s(literal -1 binary32)) (-.f32 x #s(literal 1 binary32)))
(*.f32 (sinh.f32 (acosh.f32 x)) (sinh.f32 (acosh.f32 x)))
(sqrt.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 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 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))
(-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))
(-.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))
(-.f32 (*.f32 x x) #s(literal 1 binary32))
(fma.f32 (.f32 (neg.f32 x) #s(literal 1 binary32)) (.f32 (neg.f32 x) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 (.f32 (fabs.f32 x) #s(literal 1 binary32)) (.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 (pow.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 (.f32 x #s(literal 1 binary32)) (.f32 x #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x)) #s(literal -1 binary32))
(fma.f32 (neg.f32 (fabs.f32 x)) (neg.f32 (fabs.f32 x)) #s(literal -1 binary32))
(fma.f32 (fabs.f32 (fabs.f32 x)) (fabs.f32 (fabs.f32 x)) #s(literal -1 binary32))
(fma.f32 (neg.f32 x) (*.f32 (neg.f32 x) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 (neg.f32 x) (neg.f32 x) #s(literal -1 binary32))
(fma.f32 (fabs.f32 x) (*.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 (fabs.f32 x) (fabs.f32 x) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 x x) #s(literal -1 binary32))
(fma.f32 (*.f32 x x) #s(literal 1 binary32) #s(literal -1 binary32))
(fma.f32 x (*.f32 x #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))
(pow.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))) #s(literal 1/2 binary32))
(pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 2 binary32))
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))
(+.f32 (*.f32 x x) #s(literal -1 binary32))
(.f32 (.f32 (neg.f32 x) #s(literal 1 binary32)) (*.f32 (neg.f32 x) #s(literal 1 binary32)))
(.f32 (.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (fabs.f32 x) #s(literal 1 binary32)))
(*.f32 (pow.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 1 binary32)))
(.f32 (.f32 x #s(literal 1 binary32)) (*.f32 x #s(literal 1 binary32)))
(*.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x)))
(*.f32 (neg.f32 (fabs.f32 x)) (neg.f32 (fabs.f32 x)))
(*.f32 (fabs.f32 (fabs.f32 x)) (fabs.f32 (fabs.f32 x)))
(.f32 (neg.f32 x) (.f32 (neg.f32 x) #s(literal 1 binary32)))
(*.f32 (neg.f32 x) (neg.f32 x))
(.f32 (fabs.f32 x) (.f32 (fabs.f32 x) #s(literal 1 binary32)))
(*.f32 (fabs.f32 x) (fabs.f32 x))
(.f32 #s(literal 1 binary32) (.f32 x x))
(.f32 (.f32 x x) #s(literal 1 binary32))
(.f32 x (.f32 x #s(literal 1 binary32)))
(*.f32 x x)
(pow.f32 (neg.f32 x) #s(literal 2 binary32))
(pow.f32 (fabs.f32 x) #s(literal 2 binary32))
(pow.f32 x #s(literal 2 binary32))
(fabs.f32 (*.f32 x x))
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
(neg.f32 (*.f32 (neg.f32 x) x))
(neg.f32 (*.f32 x (neg.f32 x)))
#s(literal 1 binary32)

eval28.0ms (0.9%)

Memory: -22.0MiB live, 28.0MiB allocated; 13ms collecting garbage
Compiler: Compiled 1 992 to 594 computations (70.2% saved)

prune3.0ms (0.1%)

Memory

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

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	125	3	128
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	126	3	129

Accuracy

100.0%

Counts

129 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.4%	(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))))))
▶	97.5%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
▶	99.1%	(acosh.f32 x)

Status

Accuracy

Program

▶

26.4%

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

▶

97.5%

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

▶

99.1%

(acosh.f32 x)

Compiler

Compiled 29 to 22 computations (24.1% saved)

series6.0ms (0.2%)

Memory

11.2MiB live, 11.2MiB allocated; 0ms collecting garbage

Counts

15 → 45

Calls

Call 1

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

Outputs
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (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)))))
x
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(* 2 x)
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (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))))))
-1
(- (pow x 2) 1)
(- (pow x 4) 1)
(pow x 4)
1
(+ 1 (pow x 2))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(* -1 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) 2 (log (+ x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))))) (+ x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1)))) (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))) (/ (- (pow x 4) 1) (+ (* x x) 1)) (- (pow x 4) 1) (pow x 4) 4 1 (+ (* x x) 1))
2.0ms	x	@	-inf	((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) 2 (log (+ x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))))) (+ x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1)))) (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))) (/ (- (pow x 4) 1) (+ (* x x) 1)) (- (pow x 4) 1) (pow x 4) 4 1 (+ (* x x) 1))
1.0ms	x	@	0	((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) 2 (log (+ x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))))) (+ x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1)))) (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))) (/ (- (pow x 4) 1) (+ (* x x) 1)) (- (pow x 4) 1) (pow x 4) 4 1 (+ (* x x) 1))

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

-inf

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

1.0ms

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

simplify1.2s (39.1%)

Memory

-74.9MiB live, 438.3MiB allocated; 1.2s collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	549
1	487	523
2	1816	506
0	8350	484

Stop Event

1×	iter limit
1×	node limit

Counts

45 → 44

Calls

Call 1

Inputs
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (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)))))
x
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(* 2 x)
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (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))))))
-1
(- (pow x 2) 1)
(- (pow x 4) 1)
(pow x 4)
1
(+ 1 (pow x 2))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(* -1 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))

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

rewrite53.0ms (1.8%)

Memory

-34.6MiB live, 111.8MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	94
0	29	55
1	119	55
0	739	54

Stop Event

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

Counts

15 → 190

Calls

Call 1

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

Outputs
(acosh.f32 x)
(log.f32 (+.f32 (sinh.f32 (acosh.f32 x)) x))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)))) (log.f32 (-.f32 x (sinh.f32 (acosh.f32 x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x))))
x
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
(*.f32 x #s(literal 2 binary32))
(/.f32 (*.f32 #s(literal 4 binary32) x) #s(literal 2 binary32))
(/.f32 (*.f32 x #s(literal 4 binary32)) #s(literal 2 binary32))
(/.f32 (-.f32 (.f32 x x) (.f32 x x)) (-.f32 x x))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 x x (-.f32 (.f32 x x) (.f32 x x))))
(fma.f32 #s(literal 1 binary32) x (*.f32 #s(literal 1 binary32) x))
(fma.f32 x #s(literal 1 binary32) (*.f32 x #s(literal 1 binary32)))
(+.f32 (.f32 #s(literal 1 binary32) x) (.f32 #s(literal 1 binary32) x))
(+.f32 (.f32 x #s(literal 1 binary32)) (.f32 x #s(literal 1 binary32)))
(+.f32 x x)
#s(literal 2 binary32)
(acosh.f32 x)
(log.f32 (+.f32 (sinh.f32 (acosh.f32 x)) x))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)))) (log.f32 (-.f32 x (sinh.f32 (acosh.f32 x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x))))
(/.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x)) (-.f32 (sinh.f32 (acosh.f32 x)) x))
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)))) (neg.f32 (-.f32 x (sinh.f32 (acosh.f32 x)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x))))
(/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32))) (-.f32 x (sinh.f32 (acosh.f32 x))))
(/.f32 (+.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (+.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 (.f32 x x) (.f32 (sinh.f32 (acosh.f32 x)) x))))
(/.f32 (+.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x)))
(-.f32 (/.f32 (*.f32 x x) (-.f32 x (sinh.f32 (acosh.f32 x)))) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sinh.f32 (acosh.f32 x)))))
(fma.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) x)
(fma.f32 (sqrt.f32 (-.f32 x #s(literal -1 binary32))) (sqrt.f32 (-.f32 x #s(literal 1 binary32))) x)
(fma.f32 (pow.f32 (-.f32 x #s(literal -1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32)) x)
(+.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (.f32 x x))) (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (.f32 x x))))
(+.f32 (sinh.f32 (acosh.f32 x)) x)
(+.f32 x (sinh.f32 (acosh.f32 x)))
(*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (-.f32 x #s(literal -1 binary32))) (sqrt.f32 (-.f32 x #s(literal 1 binary32))))
(*.f32 (pow.f32 (-.f32 x #s(literal -1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(/.f32 (neg.f32 (sinh.f32 (acosh.f32 (*.f32 x x)))) (neg.f32 (cosh.f32 (asinh.f32 x))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (+.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (-.f32 (exp.f32 (acosh.f32 x)) (exp.f32 (neg.f32 (acosh.f32 x)))) #s(literal 2 binary32))
(/.f32 (sinh.f32 (acosh.f32 (*.f32 x x))) (cosh.f32 (asinh.f32 x)))
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1/2 binary32)))
(sinh.f32 (acosh.f32 (neg.f32 x)))
(sinh.f32 (acosh.f32 (fabs.f32 x)))
(sinh.f32 (acosh.f32 x))
(expm1.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
(.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32))) (-.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1 binary32)) (.f32 x x)))
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (fma.f32 x x #s(literal -1 binary32)))
(*.f32 (+.f32 (neg.f32 x) #s(literal 1 binary32)) (-.f32 (neg.f32 x) #s(literal 1 binary32)))
(*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (-.f32 (fabs.f32 x) #s(literal 1 binary32)))
(*.f32 (neg.f32 (sinh.f32 (acosh.f32 x))) (neg.f32 (sinh.f32 (acosh.f32 x))))
(*.f32 (fabs.f32 (sinh.f32 (acosh.f32 x))) (fabs.f32 (sinh.f32 (acosh.f32 x))))
(*.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 x #s(literal -1 binary32)))
(*.f32 (-.f32 x #s(literal -1 binary32)) (-.f32 x #s(literal 1 binary32)))
(*.f32 (sinh.f32 (acosh.f32 x)) (sinh.f32 (acosh.f32 x)))
(sqrt.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (.f32 (sinh.f32 (acosh.f32 (.f32 x x))) (sinh.f32 (acosh.f32 x))) (cosh.f32 (asinh.f32 x)))
(/.f32 (.f32 (sinh.f32 (acosh.f32 x)) (sinh.f32 (acosh.f32 (.f32 x x)))) (cosh.f32 (asinh.f32 x)))
(/.f32 (-.f32 (.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))) (+.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) (*.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (.f32 (sinh.f32 (acosh.f32 (.f32 x x))) (sinh.f32 (acosh.f32 (.f32 x x)))) (.f32 (cosh.f32 (asinh.f32 x)) (cosh.f32 (asinh.f32 x))))
(/.f32 (-.f32 (.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32))) (.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (-.f32 (pow.f32 x #s(literal 8 binary32)) #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 x #s(literal 12 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 x 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 x #s(literal 6 binary32)) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))
(-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))
(-.f32 (*.f32 x x) #s(literal 1 binary32))
(fma.f32 (.f32 (neg.f32 x) #s(literal 1 binary32)) (.f32 (neg.f32 x) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 (.f32 (fabs.f32 x) #s(literal 1 binary32)) (.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 (.f32 x #s(literal 1 binary32)) (.f32 x #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x)) #s(literal -1 binary32))
(fma.f32 (neg.f32 (fabs.f32 x)) (neg.f32 (fabs.f32 x)) #s(literal -1 binary32))
(fma.f32 (fabs.f32 (fabs.f32 x)) (fabs.f32 (fabs.f32 x)) #s(literal -1 binary32))
(fma.f32 (pow.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 (pow.f32 x #s(literal 1 binary32)) x #s(literal -1 binary32))
(fma.f32 (neg.f32 x) (*.f32 (neg.f32 x) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 (neg.f32 x) (neg.f32 x) #s(literal -1 binary32))
(fma.f32 (fabs.f32 x) (*.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 (fabs.f32 x) (fabs.f32 x) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 x x) #s(literal -1 binary32))
(fma.f32 (*.f32 x x) #s(literal 1 binary32) #s(literal -1 binary32))
(fma.f32 x (*.f32 x #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))
(pow.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))) #s(literal 1/2 binary32))
(pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 2 binary32))
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))
(+.f32 (*.f32 x x) #s(literal -1 binary32))
(neg.f32 (/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32))))
(neg.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (neg.f32 (fma.f32 x x #s(literal 1 binary32)))))
(expm1.f32 (fma.f32 (log.f32 x) #s(literal 4 binary32) #s(literal 0 binary32)))
(expm1.f32 (*.f32 (log.f32 x) #s(literal 4 binary32)))
(*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32)))
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1 binary32))))
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (-.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1 binary32)))
(/.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))
(-.f32 (/.f32 (pow.f32 x #s(literal 8 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1 binary32))))
(-.f32 (/.f32 (pow.f32 x #s(literal 12 binary32)) (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))
(-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))
(fma.f32 (.f32 (.f32 x x) (neg.f32 x)) (neg.f32 x) #s(literal -1 binary32))
(fma.f32 (.f32 (.f32 x x) (fabs.f32 x)) (fabs.f32 x) #s(literal -1 binary32))
(fma.f32 (.f32 (neg.f32 x) (fabs.f32 x)) (.f32 (neg.f32 x) (fabs.f32 x)) #s(literal -1 binary32))
(fma.f32 (.f32 (neg.f32 x) x) (.f32 (neg.f32 x) x) #s(literal -1 binary32))
(fma.f32 (.f32 (fabs.f32 x) (neg.f32 x)) (.f32 (fabs.f32 x) (neg.f32 x)) #s(literal -1 binary32))
(fma.f32 (.f32 (fabs.f32 x) x) (.f32 (fabs.f32 x) x) #s(literal -1 binary32))
(fma.f32 (.f32 x (neg.f32 x)) (.f32 x (neg.f32 x)) #s(literal -1 binary32))
(fma.f32 (.f32 x (fabs.f32 x)) (.f32 x (fabs.f32 x)) #s(literal -1 binary32))
(fma.f32 (neg.f32 (.f32 x x)) (neg.f32 (.f32 x x)) #s(literal -1 binary32))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) x #s(literal -1 binary32))
(fma.f32 (neg.f32 x) (.f32 (neg.f32 x) (.f32 x x)) #s(literal -1 binary32))
(fma.f32 (fabs.f32 x) (.f32 (fabs.f32 x) (.f32 x x)) #s(literal -1 binary32))
(fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)) #s(literal -1 binary32))
(fma.f32 (.f32 x x) (.f32 x x) #s(literal -1 binary32))
(fma.f32 x (pow.f32 x #s(literal 3 binary32)) #s(literal -1 binary32))
(+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1 binary32))
(.f32 (.f32 (*.f32 x x) (neg.f32 x)) (neg.f32 x))
(.f32 (.f32 (*.f32 x x) (fabs.f32 x)) (fabs.f32 x))
(.f32 (.f32 (neg.f32 x) (fabs.f32 x)) (*.f32 (neg.f32 x) (fabs.f32 x)))
(.f32 (.f32 (neg.f32 x) x) (*.f32 (neg.f32 x) x))
(.f32 (.f32 (fabs.f32 x) (neg.f32 x)) (*.f32 (fabs.f32 x) (neg.f32 x)))
(.f32 (.f32 (fabs.f32 x) x) (*.f32 (fabs.f32 x) x))
(.f32 (.f32 x (neg.f32 x)) (*.f32 x (neg.f32 x)))
(.f32 (.f32 x (fabs.f32 x)) (*.f32 x (fabs.f32 x)))
(.f32 (neg.f32 (.f32 x x)) (neg.f32 (*.f32 x x)))
(*.f32 (pow.f32 x #s(literal 3 binary32)) x)
(.f32 (neg.f32 x) (.f32 (neg.f32 x) (*.f32 x x)))
(.f32 (fabs.f32 x) (.f32 (fabs.f32 x) (*.f32 x x)))
(*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))
(.f32 (.f32 x x) (*.f32 x x))
(*.f32 x (pow.f32 x #s(literal 3 binary32)))
(pow.f32 (exp.f32 (log.f32 x)) #s(literal 4 binary32))
(pow.f32 (*.f32 x x) #s(literal 2 binary32))
(pow.f32 x #s(literal 4 binary32))
(+.f32 (cosh.f32 (.f32 (log.f32 x) #s(literal 4 binary32))) (sinh.f32 (.f32 (log.f32 x) #s(literal 4 binary32))))
(exp.f32 (fma.f32 (log.f32 x) #s(literal 4 binary32) #s(literal 0 binary32)))
(exp.f32 (*.f32 (log.f32 x) #s(literal 4 binary32)))
#s(literal 4 binary32)
#s(literal 1 binary32)
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (fma.f32 x x #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32)))
(*.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))
(/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal -1 binary32))) (-.f32 x #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32))) (neg.f32 (-.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1 binary32)) (*.f32 x x))))
(/.f32 (-.f32 (pow.f32 x #s(literal 8 binary32)) #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 x #s(literal 12 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x))))
(/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32)) (-.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1 binary32)) (*.f32 x x)))
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 x 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 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))
(-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (.f32 x x)) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (neg.f32 x)) (neg.f32 x)))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fabs.f32 x)) (fabs.f32 x)))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 x) x))
(-.f32 #s(literal 1 binary32) (*.f32 x (neg.f32 x)))
(-.f32 (*.f32 x x) #s(literal -1 binary32))
(fma.f32 (.f32 (neg.f32 x) #s(literal 1 binary32)) (.f32 (neg.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (.f32 (fabs.f32 x) #s(literal 1 binary32)) (.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (.f32 x #s(literal 1 binary32)) (.f32 x #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x)) #s(literal 1 binary32))
(fma.f32 (neg.f32 (fabs.f32 x)) (neg.f32 (fabs.f32 x)) #s(literal 1 binary32))
(fma.f32 (fabs.f32 (fabs.f32 x)) (fabs.f32 (fabs.f32 x)) #s(literal 1 binary32))
(fma.f32 (pow.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (pow.f32 x #s(literal 1 binary32)) x #s(literal 1 binary32))
(fma.f32 (neg.f32 x) (*.f32 (neg.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (neg.f32 x) (neg.f32 x) #s(literal 1 binary32))
(fma.f32 (fabs.f32 x) (*.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (fabs.f32 x) (fabs.f32 x) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 x x) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 x (*.f32 x #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 x x #s(literal 1 binary32))
(+.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1 binary32)) (.f32 x x))) (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1 binary32)) (.f32 x x))))
(+.f32 #s(literal 1 binary32) (*.f32 x x))
(+.f32 (*.f32 x x) #s(literal 1 binary32))

eval23.0ms (0.8%)

Memory: 13.9MiB live, 59.9MiB allocated; 3ms collecting garbage
Compiler: Compiled 4 220 to 1 153 computations (72.7% saved)

prune5.0ms (0.2%)

Memory

18.2MiB live, 18.2MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	232	2	234
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	234	3	237

Accuracy

100.0%

Counts

237 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.4%	(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (.f32 (.f32 x x) (*.f32 x x)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))))))
▶	97.5%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x)))
✓	99.1%	(acosh.f32 x)

Status

Accuracy

Program

▶

26.4%

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

▶

97.5%

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

✓

99.1%

(acosh.f32 x)

Compiler

Compiled 33 to 21 computations (36.4% saved)

series6.0ms (0.2%)

Memory

-32.3MiB live, 14.4MiB allocated; 2ms collecting garbage

Counts

13 → 45

Calls

Call 1

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

Outputs
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (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)))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(* 2 x)
x
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (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))))))
-1
(- (pow x 2) 1)
(- (pow x 4) 1)
(pow x 4)
(pow x 2)
1
(+ 1 (pow x 2))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(* -1 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ x x) x (log (+ x (sqrt (/ (- (* (* x x) (* x x)) 1) (+ (* x x) 1))))) (+ x (sqrt (/ (- (* (* x x) (* x x)) 1) (+ (* x x) 1)))) (sqrt (/ (- (* (* x x) (* x x)) 1) (+ (* x x) 1))) (/ (- (* (* x x) (* x x)) 1) (+ (* x x) 1)) (- (* (* x x) (* x x)) 1) (* (* x x) (* x x)) (* x x) 1 (+ (* x x) 1))
2.0ms	x	@	-inf	((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ x x) x (log (+ x (sqrt (/ (- (* (* x x) (* x x)) 1) (+ (* x x) 1))))) (+ x (sqrt (/ (- (* (* x x) (* x x)) 1) (+ (* x x) 1)))) (sqrt (/ (- (* (* x x) (* x x)) 1) (+ (* x x) 1))) (/ (- (* (* x x) (* x x)) 1) (+ (* x x) 1)) (- (* (* x x) (* x x)) 1) (* (* x x) (* x x)) (* x x) 1 (+ (* x x) 1))
1.0ms	x	@	0	((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ x x) x (log (+ x (sqrt (/ (- (* (* x x) (* x x)) 1) (+ (* x x) 1))))) (+ x (sqrt (/ (- (* (* x x) (* x x)) 1) (+ (* x x) 1)))) (sqrt (/ (- (* (* x x) (* x x)) 1) (+ (* x x) 1))) (/ (- (* (* x x) (* x x)) 1) (+ (* x x) 1)) (- (* (* x x) (* x x)) 1) (* (* x x) (* x x)) (* x x) 1 (+ (* x x) 1))

Time

Variable

Point

Expression

3.0ms

inf

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

2.0ms

-inf

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

1.0ms

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

simplify174.0ms (5.8%)

Memory

35.2MiB live, 171.4MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	549
1	487	523
2	1816	506
0	8350	484

Stop Event

1×	iter limit
1×	node limit

Counts

45 → 44

Calls

Call 1

Inputs
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (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)))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(* 2 x)
x
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (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))))))
-1
(- (pow x 2) 1)
(- (pow x 4) 1)
(pow x 4)
(pow x 2)
1
(+ 1 (pow x 2))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(* -1 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))

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

rewrite64.0ms (2.1%)

Memory

0.7MiB live, 44.8MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	117
0	27	62
1	123	54
0	896	53

Stop Event

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

Counts

13 → 222

Calls

Call 1

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

Outputs
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
(*.f32 x #s(literal 2 binary32))
(/.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 x x #s(literal 0 binary32))))
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
(/.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 x x #s(literal 0 binary32)))
(-.f32 (/.f32 (.f32 x x) #s(literal 0 binary32)) (/.f32 (.f32 x x) #s(literal 0 binary32)))
(+.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 0 binary32))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 0 binary32))))
(+.f32 x x)
x
(acosh.f32 x)
(log.f32 (+.f32 (sinh.f32 (acosh.f32 x)) x))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)))) (log.f32 (-.f32 x (sinh.f32 (acosh.f32 x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x))))
(/.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x)) (-.f32 (sinh.f32 (acosh.f32 x)) x))
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)))) (neg.f32 (-.f32 x (sinh.f32 (acosh.f32 x)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x))))
(/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32))) (-.f32 x (sinh.f32 (acosh.f32 x))))
(/.f32 (+.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (+.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 (.f32 x x) (.f32 (sinh.f32 (acosh.f32 x)) x))))
(/.f32 (+.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x)))
(-.f32 (/.f32 (*.f32 x x) (-.f32 x (sinh.f32 (acosh.f32 x)))) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sinh.f32 (acosh.f32 x)))))
(fma.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) x)
(fma.f32 (sqrt.f32 (-.f32 x #s(literal -1 binary32))) (sqrt.f32 (-.f32 x #s(literal 1 binary32))) x)
(fma.f32 (pow.f32 (-.f32 x #s(literal -1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32)) x)
(+.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (.f32 x x))) (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (.f32 x x))))
(+.f32 (sinh.f32 (acosh.f32 x)) x)
(+.f32 x (sinh.f32 (acosh.f32 x)))
(*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (-.f32 x #s(literal -1 binary32))) (sqrt.f32 (-.f32 x #s(literal 1 binary32))))
(*.f32 (pow.f32 (-.f32 x #s(literal -1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(/.f32 (neg.f32 (sinh.f32 (acosh.f32 (*.f32 x x)))) (neg.f32 (cosh.f32 (asinh.f32 x))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (+.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 (neg.f32 x) x #s(literal -1 binary32))))
(/.f32 (-.f32 (exp.f32 (acosh.f32 x)) (exp.f32 (neg.f32 (acosh.f32 x)))) #s(literal 2 binary32))
(/.f32 (sinh.f32 (acosh.f32 (*.f32 x x))) (cosh.f32 (asinh.f32 x)))
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1/2 binary32)))
(sinh.f32 (acosh.f32 (neg.f32 x)))
(sinh.f32 (acosh.f32 (fabs.f32 x)))
(sinh.f32 (acosh.f32 x))
(expm1.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
(.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32))) (-.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1 binary32)) (.f32 x x)))
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (fma.f32 x x #s(literal -1 binary32)))
(*.f32 (+.f32 (neg.f32 x) #s(literal 1 binary32)) (-.f32 (neg.f32 x) #s(literal 1 binary32)))
(*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (-.f32 (fabs.f32 x) #s(literal 1 binary32)))
(*.f32 (neg.f32 (sinh.f32 (acosh.f32 x))) (neg.f32 (sinh.f32 (acosh.f32 x))))
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(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 x) x))
(fma.f32 (.f32 (neg.f32 x) #s(literal 1 binary32)) (.f32 (neg.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (.f32 (fabs.f32 x) #s(literal 1 binary32)) (.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (pow.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (.f32 x #s(literal 1 binary32)) (.f32 x #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x)) #s(literal 1 binary32))
(fma.f32 (neg.f32 (fabs.f32 x)) (neg.f32 (fabs.f32 x)) #s(literal 1 binary32))
(fma.f32 (fabs.f32 (fabs.f32 x)) (fabs.f32 (fabs.f32 x)) #s(literal 1 binary32))
(fma.f32 (neg.f32 x) (*.f32 (neg.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (neg.f32 x) (neg.f32 x) #s(literal 1 binary32))
(fma.f32 (fabs.f32 x) (*.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (fabs.f32 x) (fabs.f32 x) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 x x) #s(literal 1 binary32))
(fma.f32 x (*.f32 x #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 x x #s(literal 1 binary32))
(+.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1 binary32)) (.f32 x x))) (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1 binary32)) (.f32 x x))))
(+.f32 (*.f32 x x) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 x x))

eval42.0ms (1.4%)

Memory: 4.9MiB live, 48.9MiB allocated; 7ms collecting garbage
Compiler: Compiled 6 051 to 1 546 computations (74.5% saved)

prune31.0ms (1%)

Memory

-30.8MiB live, 22.2MiB allocated; 12ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	297	0	297
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	297	3	300

Accuracy

100.0%

Counts

300 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

26.4%

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

✓

97.5%

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

✓

99.1%

(acosh.f32 x)

Compiler

Compiled 102 to 55 computations (46.1% saved)

regimes7.0ms (0.2%)

Memory

18.1MiB live, 18.1MiB allocated; 0ms collecting garbage

Accuracy

Total -23.9b remaining (-8170.1%)

Threshold costs -23.9b (-8170.1%)

Counts

6 → 1

Calls

Call 1

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

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

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify9.0ms (0.3%)

Memory

15.2MiB live, 15.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	2

Stop Event

1×

saturated

Calls

Call 1

Inputs
(acosh.f32 x)

Outputs
(acosh.f32 x)

derivations2.0ms (0.1%)

Memory

2.9MiB live, 2.9MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 2 to 2 computations (0% saved)

preprocess34.0ms (1.1%)

Memory: -12.7MiB live, 30.0MiB allocated; 11ms 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%)

sample737.0ms (24.6%)

explain114.0ms (3.8%)

preprocess234.0ms (7.8%)

eval0.0ms (0%)

prune0.0ms (0%)

series9.0ms (0.3%)

simplify177.0ms (5.9%)

rewrite68.0ms (2.3%)

eval28.0ms (0.9%)

prune3.0ms (0.1%)

series6.0ms (0.2%)

simplify1.2s (39.1%)

rewrite53.0ms (1.8%)

eval23.0ms (0.8%)

prune5.0ms (0.2%)

series6.0ms (0.2%)

simplify174.0ms (5.8%)

rewrite64.0ms (2.1%)

eval42.0ms (1.4%)

prune31.0ms (1%)

regimes7.0ms (0.2%)

simplify9.0ms (0.3%)

derivations2.0ms (0.1%)

preprocess34.0ms (1.1%)

end0.0ms (0%)

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