Metrics for Rust f32::acosh

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB 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)

sample816.0ms (19.3%)

Memory

-0.5MiB live, 915.3MiB allocated; 313ms collecting garbage

Samples

547.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 241.0ms

ival-acosh: 169.0ms (70.2% of total)

ival->=: 57.0ms (23.7% of total)

exact: 8.0ms (3.3% of total)

ival-assert: 4.0ms (1.7% of total)

adjust: 3.0ms (1.2% of total)

Bogosity

explain142.0ms (3.4%)

Memory

-16.0MiB live, 172.1MiB allocated; 42ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
132	-	-	`(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))`
2	-	-	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
0	-	-	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`
0	-	-	`(*.f32 x x)`
0	-	-	`#s(literal 1 binary32)`
0	-	-	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f32`	`(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))`	oflow-rescue	132	0
↳	`(*.f32 x x)`	overflow	132
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	132
`log.f32`	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`	oflow-rescue	2	0
↳	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`	overflow	2
↳	`(*.f32 x x)`	overflow	132
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	132

Confusion

	Predicted +	Predicted -
+	132	0
-	0	124

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	124
1	130
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

46.0ms

512×

valid

Compiler

Compiled 79 to 25 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-sub: 19.0ms (55.3% of total)

ival-log: 5.0ms (14.6% of total)

ival-mult: 4.0ms (11.6% of total)

ival-sqrt: 3.0ms (8.7% of total)

ival-add: 2.0ms (5.8% 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)

preprocess173.0ms (4.1%)

Memory

38.0MiB live, 125.4MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
0	7	9
0	12	9
1	22	9
2	46	9
3	85	9
4	145	9
5	233	9
6	448	9
7	717	9
8	1083	9
9	1774	9
10	4969	9
11	6202	9
12	7383	9
13	7932	9
0	8200	8

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.7%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify176.0ms (4.2%)

Memory

7.3MiB live, 196.0MiB allocated; 41ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
cost-diff	0	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
cost-diff	0	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
cost-diff	1	(-.f32 (*.f32 x x) #s(literal 1 binary32))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	33
0	12	33
1	22	33
2	46	33
3	85	33
4	145	33
5	233	33
6	448	33
7	717	33
8	1083	33
9	1774	33
10	4969	33
11	6202	33
12	7383	33
13	7932	33
0	8200	29

Stop Event

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

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

localize74.0ms (1.7%)

Memory

-46.9MiB live, 104.6MiB allocated; 18ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.014003759768442016	(-.f32 (*.f32 x x) #s(literal 1 binary32))
accuracy	0.01953125	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
accuracy	0.24942255014673598	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
accuracy	14.273121544486326	(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))

Samples

66.0ms

256×

valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-add: 32.0ms (53.3% of total)

ival-sub: 21.0ms (35% of total)

ival-log: 3.0ms (5% of total)

ival-mult: 2.0ms (3.3% of total)

ival-sqrt: 2.0ms (3.3% 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)

series5.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated; 0ms collecting garbage

Counts

4 → 39

Calls

Call 1

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

Outputs
-1
(- (pow x 2) 1)
(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))))))))
(+ (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))))))
(pow x 2)
(* (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))))
(* 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
(* 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)))))
(+ (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	@	0	((- (* x x) 1) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)))
1.0ms	x	@	-inf	((- (* x x) 1) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)))
1.0ms	x	@	inf	((- (* x x) 1) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)))

Time

Variable

Point

Expression

2.0ms

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

1.0ms

-inf

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

1.0ms

inf

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

simplify201.0ms (4.8%)

Memory

16.6MiB live, 211.2MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	525
1	470	499
2	1636	485
3	6830	485
0	8396	464

Stop Event

1×	iter limit
1×	node limit

Counts

39 → 38

Calls

Call 1

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

rewrite187.0ms (4.4%)

Memory

-7.2MiB live, 224.5MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	28
0	12	15
1	53	15
2	369	13
0	4556	12

Stop Event

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

Counts

4 → 229

Calls

Call 1

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

Outputs
(expm1.f32 (*.f32 (log.f32 (neg.f32 x)) #s(literal 2 binary32)))
(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 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 x x)))
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) 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 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 8 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 2 binary32)))) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 x #s(literal 12 binary32)))) (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) (pow.f32 x #s(literal 8 binary32))))
(.f32 (.f32 (sinh.f32 (acosh.f32 x)) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) (sqrt.f32 (-.f32 x #s(literal 1 binary32))))
(.f32 (.f32 (sinh.f32 (acosh.f32 x)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 1/2 binary32))) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 1/2 binary32)))
(.f32 (.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (-.f32 x #s(literal 1 binary32)))))
(*.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal -1 binary32)))
(*.f32 (neg.f32 (neg.f32 (sinh.f32 (acosh.f32 x)))) (neg.f32 (neg.f32 (sinh.f32 (acosh.f32 x)))))
(*.f32 (pow.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (pow.f32 (-.f32 (neg.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (neg.f32 (sinh.f32 (acosh.f32 x))) #s(literal 1 binary32)) (pow.f32 (neg.f32 (sinh.f32 (acosh.f32 x))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (-.f32 (neg.f32 x) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x))
(*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 (neg.f32 x) #s(literal 1 binary32)))
(.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 1/2 binary32)) (.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 1/2 binary32)) (sinh.f32 (acosh.f32 x))))
(*.f32 (neg.f32 (sinh.f32 (acosh.f32 x))) (neg.f32 (sinh.f32 (acosh.f32 x))))
(.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sinh.f32 (acosh.f32 x))))
(*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x))
(*.f32 (+.f32 #s(literal 1 binary32) x) (-.f32 x #s(literal 1 binary32)))
(*.f32 (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 (sinh.f32 (acosh.f32 x)) (sinh.f32 (acosh.f32 x)))
(sqrt.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 4 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (fma.f32 x x (+.f32 #s(literal 1 binary32) x)))
(/.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))
(/.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 (pow.f32 x #s(literal 3 binary32)))) (sinh.f32 (acosh.f32 x))) (sqrt.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (acosh.f32 x))) (sinh.f32 (acosh.f32 x))) #s(literal 2 binary32))
(/.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 x x (+.f32 #s(literal 1 binary32) x)))
(/.f32 (.f32 (sinh.f32 (acosh.f32 x)) (sinh.f32 (acosh.f32 (.f32 x x)))) (cosh.f32 (asinh.f32 x)))
(/.f32 (*.f32 (sinh.f32 (acosh.f32 x)) (sinh.f32 (acosh.f32 (pow.f32 x #s(literal 3 binary32))))) (sqrt.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (.f32 (sinh.f32 (acosh.f32 x)) (.f32 #s(literal 2 binary32) (sinh.f32 (acosh.f32 x)))) #s(literal 2 binary32))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) x))
(/.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32))) (-.f32 x #s(literal 1 binary32)))
(/.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x #s(literal 1 binary32))) (-.f32 x #s(literal 1 binary32)))
(/.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) x)) (+.f32 #s(literal 1 binary32) 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 (.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 (pow.f32 x #s(literal 6 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))) (.f32 (/.f32 #s(literal -1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (-.f32 (pow.f32 x #s(literal 4 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 (pow.f32 x #s(literal 4 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 (-.f32 (pow.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)))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32)))) #s(literal 3 binary32))) (fma.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 (pow.f32 x #s(literal 6 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (-.f32 (pow.f32 x #s(literal 4 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 (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 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (fma.f32 (neg.f32 x) x #s(literal -1 binary32))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x)))
(/.f32 (.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32))) (.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32))))
(/.f32 (.f32 (fma.f32 x x #s(literal -1 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) x) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x)))
(/.f32 (.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32))) (.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) x) (+.f32 #s(literal 1 binary32) x)))
(/.f32 (.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (.f32 (-.f32 x #s(literal 1 binary32)) (fma.f32 x x (+.f32 #s(literal 1 binary32) x))))
(/.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 (sinh.f32 (acosh.f32 (.f32 x x))) (sinh.f32 (acosh.f32 (pow.f32 x #s(literal 3 binary32))))) (*.f32 (cosh.f32 (asinh.f32 x)) (sqrt.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))))
(/.f32 (.f32 (sinh.f32 (acosh.f32 (.f32 x x))) (.f32 #s(literal 2 binary32) (sinh.f32 (acosh.f32 x)))) (.f32 (cosh.f32 (asinh.f32 x)) #s(literal 2 binary32)))
(/.f32 (.f32 (sinh.f32 (acosh.f32 (pow.f32 x #s(literal 3 binary32)))) (sinh.f32 (acosh.f32 (.f32 x x)))) (*.f32 (sqrt.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) (cosh.f32 (asinh.f32 x))))
(/.f32 (.f32 (sinh.f32 (acosh.f32 (pow.f32 x #s(literal 3 binary32)))) (sinh.f32 (acosh.f32 (pow.f32 x #s(literal 3 binary32))))) (.f32 (sqrt.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) (sqrt.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))))
(/.f32 (.f32 (sinh.f32 (acosh.f32 (pow.f32 x #s(literal 3 binary32)))) (.f32 #s(literal 2 binary32) (sinh.f32 (acosh.f32 x)))) (*.f32 (sqrt.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (acosh.f32 x))) (sinh.f32 (acosh.f32 (.f32 x x)))) (.f32 #s(literal 2 binary32) (cosh.f32 (asinh.f32 x))))
(/.f32 (.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (acosh.f32 x))) (sinh.f32 (acosh.f32 (pow.f32 x #s(literal 3 binary32))))) (*.f32 #s(literal 2 binary32) (sqrt.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))))
(/.f32 (.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (acosh.f32 x))) (*.f32 #s(literal 2 binary32) (sinh.f32 (acosh.f32 x)))) #s(literal 4 binary32))
(/.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 x #s(literal 6 binary32))) (fma.f32 x x #s(literal 1 binary32))) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (-.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 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32))) (*.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (-.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 #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 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 12 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (-.f32 (pow.f32 x #s(literal 18 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (+.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 6 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))) (fma.f32 (neg.f32 x) x #s(literal -1 binary32)))
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32)))
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (*.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)) #s(literal 1 binary32)) (*.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) x) (fma.f32 x x (+.f32 #s(literal 1 binary32) x))))
(/.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 (fma.f32 x x #s(literal -1 binary32)) #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 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 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32)))))
(-.f32 (*.f32 x x) #s(literal 1 binary32))
(fma.f32 (exp.f32 (log.f32 x)) (exp.f32 (log.f32 x)) #s(literal -1 binary32))
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(fma.f32 (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 2 binary32)))) (-.f32 (.f32 x x) (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x (-.f32 x (sinh.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (+.f32 (pow.f32 (.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 3 binary32)) (pow.f32 x #s(literal 6 binary32)))) (fma.f32 (.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) (-.f32 (.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) (.f32 x x)) (pow.f32 x #s(literal 4 binary32))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x (-.f32 x (sinh.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 (/.f32 (.f32 x x) (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)))) (fma.f32 (sinh.f32 (acosh.f32 x)) (exp.f32 (acosh.f32 x)) (.f32 x x)) (/.f32 (neg.f32 (fma.f32 x x #s(literal -1 binary32))) (-.f32 x (sinh.f32 (acosh.f32 x)))))
(fma.f32 (/.f32 (.f32 x x) (-.f32 (.f32 x x) (fma.f32 x x #s(literal -1 binary32)))) (exp.f32 (acosh.f32 x)) (/.f32 (neg.f32 (fma.f32 x x #s(literal -1 binary32))) (-.f32 x (sinh.f32 (acosh.f32 x)))))
(fma.f32 (pow.f32 x #s(literal 1/2 binary32)) (pow.f32 x #s(literal 1/2 binary32)) (sinh.f32 (acosh.f32 x)))
(fma.f32 (neg.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 1/2 binary32))) (neg.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 1/2 binary32))) x)
(fma.f32 (fabs.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 1/2 binary32))) (fabs.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 1/2 binary32))) x)
(fma.f32 (fabs.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) (fabs.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32)))) x)
(fma.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)) (sinh.f32 (acosh.f32 x)))
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sinh.f32 (acosh.f32 x)))
(fma.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) x)) (sqrt.f32 (-.f32 (neg.f32 x) #s(literal 1 binary32))) x)
(fma.f32 (sqrt.f32 (neg.f32 (sinh.f32 (acosh.f32 x)))) (sqrt.f32 (neg.f32 (sinh.f32 (acosh.f32 x)))) x)
(fma.f32 (sqrt.f32 (sinh.f32 (acosh.f32 x))) (sqrt.f32 (sinh.f32 (acosh.f32 x))) x)
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32)) (pow.f32 (-.f32 (neg.f32 x) #s(literal 1 binary32)) #s(literal 1/2 binary32)) x)
(fma.f32 (pow.f32 (neg.f32 (sinh.f32 (acosh.f32 x))) #s(literal 1/2 binary32)) (pow.f32 (neg.f32 (sinh.f32 (acosh.f32 x))) #s(literal 1/2 binary32)) x)
(fma.f32 (pow.f32 x #s(literal 3/2 binary32)) (/.f32 (pow.f32 x #s(literal 3/2 binary32)) (fma.f32 x (-.f32 x (sinh.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))) (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (fma.f32 x (-.f32 x (sinh.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 1/2 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 1/2 binary32)) x)
(fma.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3/2 binary32)) (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3/2 binary32)) (fma.f32 x (-.f32 x (sinh.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x (-.f32 x (sinh.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) x)
(fma.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (sqrt.f32 (-.f32 x #s(literal 1 binary32))) x)
(fma.f32 (neg.f32 x) (/.f32 (neg.f32 x) (-.f32 x (sinh.f32 (acosh.f32 x)))) (/.f32 (neg.f32 (fma.f32 x x #s(literal -1 binary32))) (-.f32 x (sinh.f32 (acosh.f32 x)))))
(fma.f32 (sinh.f32 (acosh.f32 x)) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x (-.f32 x (sinh.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x (-.f32 x (sinh.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 (fma.f32 x x #s(literal -1 binary32)) (/.f32 (sinh.f32 (acosh.f32 x)) (fma.f32 x (-.f32 x (sinh.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x (-.f32 x (sinh.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (-.f32 x (sinh.f32 (acosh.f32 x)))) (/.f32 (neg.f32 (fma.f32 x x #s(literal -1 binary32))) (-.f32 x (sinh.f32 (acosh.f32 x)))))
(fma.f32 #s(literal 1 binary32) x (sinh.f32 (acosh.f32 x)))
(fma.f32 (*.f32 x x) (/.f32 x (fma.f32 x (-.f32 x (sinh.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))) (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (fma.f32 x (-.f32 x (sinh.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (-.f32 x (sinh.f32 (acosh.f32 x)))) (/.f32 (neg.f32 (fma.f32 x x #s(literal -1 binary32))) (-.f32 x (sinh.f32 (acosh.f32 x)))))
(fma.f32 x (/.f32 (*.f32 x x) (fma.f32 x (-.f32 x (sinh.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))) (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (fma.f32 x (-.f32 x (sinh.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 x (/.f32 x (-.f32 x (sinh.f32 (acosh.f32 x)))) (/.f32 (neg.f32 (fma.f32 x x #s(literal -1 binary32))) (-.f32 x (sinh.f32 (acosh.f32 x)))))
(fma.f32 x #s(literal 1 binary32) (sinh.f32 (acosh.f32 x)))
(+.f32 (cosh.f32 (acosh.f32 x)) (sinh.f32 (acosh.f32 x)))
(+.f32 (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (fma.f32 x (-.f32 x (sinh.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x (-.f32 x (sinh.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))))
(+.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x (-.f32 x (sinh.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))) (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (fma.f32 x (-.f32 x (sinh.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))))
(+.f32 (/.f32 (*.f32 x x) (-.f32 x (sinh.f32 (acosh.f32 x)))) (/.f32 (neg.f32 (fma.f32 x x #s(literal -1 binary32))) (-.f32 x (sinh.f32 (acosh.f32 x)))))
(+.f32 (sinh.f32 (acosh.f32 x)) x)
(+.f32 x (sinh.f32 (acosh.f32 x)))
(exp.f32 (acosh.f32 x))
(neg.f32 (/.f32 (fma.f32 (neg.f32 x) x (fma.f32 x x #s(literal -1 binary32))) (-.f32 x (sinh.f32 (acosh.f32 x)))))
(neg.f32 (/.f32 (neg.f32 (-.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 x (-.f32 x (sinh.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))))
(neg.f32 (/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32))) (neg.f32 (-.f32 x (sinh.f32 (acosh.f32 x))))))
(neg.f32 (/.f32 (-.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (neg.f32 (fma.f32 x (-.f32 x (sinh.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32))))))
(*.f32 (neg.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 1/2 binary32))) (neg.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 1/2 binary32))))
(*.f32 (fabs.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 1/2 binary32))) (fabs.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 1/2 binary32))))
(*.f32 (fabs.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) (fabs.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) x)) (sqrt.f32 (-.f32 (neg.f32 x) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (sinh.f32 (acosh.f32 x)))) (sqrt.f32 (neg.f32 (sinh.f32 (acosh.f32 x)))))
(*.f32 (sqrt.f32 (sinh.f32 (acosh.f32 x))) (sqrt.f32 (sinh.f32 (acosh.f32 x))))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32)) (pow.f32 (-.f32 (neg.f32 x) #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (neg.f32 (sinh.f32 (acosh.f32 x))) #s(literal 1/2 binary32)) (pow.f32 (neg.f32 (sinh.f32 (acosh.f32 x))) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 1/2 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (sqrt.f32 (-.f32 x #s(literal 1 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 (neg.f32 (sinh.f32 (acosh.f32 (pow.f32 x #s(literal 3 binary32))))) (neg.f32 (sqrt.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))))
(/.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (acosh.f32 x)))) #s(literal -2 binary32))
(/.f32 (fabs.f32 (sinh.f32 (acosh.f32 (*.f32 x x)))) (fabs.f32 (cosh.f32 (asinh.f32 x))))
(/.f32 (fabs.f32 (sinh.f32 (acosh.f32 (pow.f32 x #s(literal 3 binary32))))) (fabs.f32 (sqrt.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))))
(/.f32 (fabs.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (acosh.f32 x)))) #s(literal 2 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 (sqrt.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (-.f32 (exp.f32 (acosh.f32 (neg.f32 x))) (exp.f32 (neg.f32 (acosh.f32 (neg.f32 x))))) #s(literal 2 binary32))
(/.f32 (sinh.f32 (acosh.f32 (*.f32 x x))) (cosh.f32 (asinh.f32 x)))
(/.f32 (sinh.f32 (acosh.f32 (pow.f32 x #s(literal 3 binary32)))) (sqrt.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (acosh.f32 x))) #s(literal 2 binary32))
(-.f32 (/.f32 (exp.f32 (acosh.f32 x)) #s(literal 2 binary32)) (/.f32 (exp.f32 (neg.f32 (acosh.f32 x))) #s(literal 2 binary32)))
(-.f32 (.f32 (sinh.f32 (log.f32 (-.f32 (.f32 x x) (fma.f32 x x #s(literal -1 binary32))))) (cosh.f32 (log.f32 (-.f32 x (sinh.f32 (acosh.f32 x)))))) (.f32 (cosh.f32 (log.f32 (-.f32 (.f32 x x) (fma.f32 x x #s(literal -1 binary32))))) (sinh.f32 (log.f32 (-.f32 x (sinh.f32 (acosh.f32 x)))))))
(-.f32 (.f32 (sinh.f32 (log.f32 (-.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (cosh.f32 (log.f32 (fma.f32 x (-.f32 x (sinh.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))))) (.f32 (cosh.f32 (log.f32 (-.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (sinh.f32 (log.f32 (fma.f32 x (-.f32 x (sinh.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))))))
(pow.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 4 binary32)) #s(literal 1/4 binary32))
(pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 1 binary32))
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/2 binary32))
(fabs.f32 (neg.f32 (sinh.f32 (acosh.f32 x))))
(fabs.f32 (sinh.f32 (acosh.f32 x)))
(+.f32 (cosh.f32 (log.f32 (sinh.f32 (acosh.f32 x)))) (sinh.f32 (log.f32 (sinh.f32 (acosh.f32 x)))))
(exp.f32 (log.f32 (sinh.f32 (acosh.f32 x))))
(sinh.f32 (acosh.f32 (neg.f32 x)))
(sinh.f32 (acosh.f32 x))

eval43.0ms (1%)

Memory: -24.1MiB live, 77.3MiB allocated; 18ms collecting garbage
Compiler: Compiled 5 950 to 1 278 computations (78.5% saved)

prune5.0ms (0.1%)

Memory

20.6MiB live, 20.6MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	263	4	267
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	264	4	268

Accuracy

100.0%

Counts

268 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.7%	(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
▶	16.2%	(log.f32 (+.f32 x (sqrt.f32 (/.f32 (.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))))))
▶	96.4%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
▶	99.3%	(acosh.f32 x)

Compiler

Compiled 52 to 34 computations (34.6% saved)

simplify207.0ms (4.9%)

Memory

9.1MiB live, 242.5MiB allocated; 30ms collecting garbage

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f32 x x #s(literal -1 binary32))
cost-diff	0	(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
cost-diff	0	(+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
cost-diff	0	(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
cost-diff	0	(sqrt.f32 (/.f32 (.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))))
cost-diff	0	(+.f32 x (sqrt.f32 (/.f32 (.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x)))))
cost-diff	0	(log.f32 (+.f32 x (sqrt.f32 (/.f32 (.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))))))
cost-diff	6	(*.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)))
cost-diff	0	(*.f32 #s(literal 2 binary32) x)
cost-diff	0	#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))
cost-diff	0	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
cost-diff	0	(acosh.f32 x)

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	226
0	50	224
1	91	214
2	237	194
3	945	194
4	5061	194
0	8364	194

Stop Event

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

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

Outputs
(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)
x
(log.f32 (+.f32 x (sqrt.f32 (/.f32 (.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))))))
(log.f32 (+.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) x) (fma.f32 (+.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))))) x))
(+.f32 x (sqrt.f32 (/.f32 (.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x)))))
(+.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) x) (fma.f32 (+.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))))) x)
x
(sqrt.f32 (/.f32 (.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))))
(sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) x) (fma.f32 (+.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))))
(/.f32 (.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x)))
(/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) x) (fma.f32 (+.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))))
(*.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)))
(-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))
(-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))
(pow.f32 x #s(literal 3 binary32))
#s(literal 3 binary32)
#s(literal 1 binary32)
(+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))
(*.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))
(*.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) x) (fma.f32 (+.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))
(fma.f32 x x (+.f32 #s(literal 1 binary32) x))
(fma.f32 (+.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) x)
(-.f32 (fma.f32 x x #s(literal 1 binary32)) x)
(fma.f32 x x #s(literal 1 binary32))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
(+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
x
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(fma.f32 x x #s(literal -1 binary32))
#s(literal -1 binary32)

localize135.0ms (3.2%)

Memory

-40.0MiB live, 118.5MiB allocated; 20ms collecting garbage

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f32 x x #s(literal -1 binary32))
accuracy	0.01953125	(+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
accuracy	0.24942255014673598	(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
accuracy	14.273121544486326	(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
accuracy	0.1015625	(*.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))
accuracy	0.24942255014673598	(log.f32 (+.f32 x (sqrt.f32 (/.f32 (.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))))))
accuracy	14.273121544486326	(sqrt.f32 (/.f32 (.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))))
accuracy	20.643534930661396	(/.f32 (.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x)))
accuracy	0.0	(*.f32 #s(literal 2 binary32) x)
accuracy	0.24942255014673598	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
accuracy	1.102403820833029	#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))
accuracy	0.23828125	(acosh.f32 x)

Samples

102.0ms

256×

valid

Compiler

Compiled 237 to 31 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-mult: 33.0ms (36.4% of total)

ival-sqrt: 31.0ms (34.2% of total)

ival-add: 9.0ms (9.9% of total)

ival-log: 7.0ms (7.7% of total)

ival-sub: 3.0ms (3.3% of total)

ival-acosh: 3.0ms (3.3% of total)

ival-pow: 3.0ms (3.3% of total)

ival-div: 1.0ms (1.1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series11.0ms (0.3%)

Memory

19.4MiB live, 19.4MiB allocated; 0ms collecting garbage

Counts

14 → 60

Calls

Call 1

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

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)
-1
(- (pow x 6) 1)
(+ (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))))))
(- (pow x 2) 1)
1
(+ 1 (pow x 2))
(+ 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))))
(* 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)))))
(pow x 6)
(* (pow x 6) (- 1 (/ 1 (pow x 6))))
x
(* 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)
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(+ (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))
(+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))))
(* -1 (* x (- (pow (sqrt -1) 2) 1)))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1)))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))))
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))))
(* -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
5.0ms	x	@	-inf	((acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) (* (- (pow x 3) 1) (+ (pow x 3) 1)) (log (+ x (sqrt (/ (* (- (pow x 3) 1) (+ (pow x 3) 1)) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x)))))) (+ x (sqrt (/ (* (- (pow x 3) 1) (+ (pow x 3) 1)) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x))))) (sqrt (/ (* (- (pow x 3) 1) (+ (pow x 3) 1)) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x)))) (log (+ x (sqrt (+ (* x x) -1)))) (+ x (sqrt (+ (* x x) -1))) (sqrt (+ (* x x) -1)) (+ (* x x) -1) (/ (* (- (pow x 3) 1) (+ (pow x 3) 1)) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x))) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x)))
3.0ms	x	@	inf	((acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) (* (- (pow x 3) 1) (+ (pow x 3) 1)) (log (+ x (sqrt (/ (* (- (pow x 3) 1) (+ (pow x 3) 1)) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x)))))) (+ x (sqrt (/ (* (- (pow x 3) 1) (+ (pow x 3) 1)) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x))))) (sqrt (/ (* (- (pow x 3) 1) (+ (pow x 3) 1)) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x)))) (log (+ x (sqrt (+ (* x x) -1)))) (+ x (sqrt (+ (* x x) -1))) (sqrt (+ (* x x) -1)) (+ (* x x) -1) (/ (* (- (pow x 3) 1) (+ (pow x 3) 1)) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x))) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x)))
2.0ms	x	@	0	((acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) (* (- (pow x 3) 1) (+ (pow x 3) 1)) (log (+ x (sqrt (/ (* (- (pow x 3) 1) (+ (pow x 3) 1)) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x)))))) (+ x (sqrt (/ (* (- (pow x 3) 1) (+ (pow x 3) 1)) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x))))) (sqrt (/ (* (- (pow x 3) 1) (+ (pow x 3) 1)) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x)))) (log (+ x (sqrt (+ (* x x) -1)))) (+ x (sqrt (+ (* x x) -1))) (sqrt (+ (* x x) -1)) (+ (* x x) -1) (/ (* (- (pow x 3) 1) (+ (pow x 3) 1)) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x))) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x)))

Time

Variable

Point

Expression

5.0ms

-inf

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

3.0ms

inf

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

2.0ms

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

simplify199.0ms (4.7%)

Memory

20.7MiB live, 204.4MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	239	918
1	737	743
2	2732	731
0	8513	712

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 59

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)
-1
(- (pow x 6) 1)
(+ (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))))))
(- (pow x 2) 1)
1
(+ 1 (pow x 2))
(+ 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))))
(* 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)))))
(pow x 6)
(* (pow x 6) (- 1 (/ 1 (pow x 6))))
x
(* 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)
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(+ (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))
(+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))))
(* -1 (* x (- (pow (sqrt -1) 2) 1)))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1)))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))))
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))))
(* -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 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) #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)) (-.f32 (/.f32 (.f32 #s(literal 3/40 binary32) (.f32 x 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 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/8 binary32) (.f32 x x)) #s(literal -1 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)
-1
#s(literal -1 binary32)
(- (pow x 6) 1)
(-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(fma.f32 (*.f32 x (/.f32 x (sqrt.f32 #s(literal -1 binary32)))) #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 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/8 binary32) (.f32 x x)) #s(literal -1 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)) (-.f32 (/.f32 (.f32 #s(literal 1/16 binary32) (.f32 x 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 x (/.f32 x (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))))
(- (pow x 2) 1)
(fma.f32 x x #s(literal -1 binary32))
1
#s(literal 1 binary32)
(+ 1 (pow x 2))
(fma.f32 x x #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1 (pow x 2))))
(fma.f32 x (+.f32 (pow.f32 x #s(literal 3 binary32)) 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 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 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))))
(-.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 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) x)
(pow x 6)
(pow.f32 x #s(literal 6 binary32))
(* (pow x 6) (- 1 (/ 1 (pow x 6))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (pow.f32 x #s(literal 6 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)))))
(.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) x)
(pow x 2)
(*.f32 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)
(pow x 4)
(pow.f32 x #s(literal 4 binary32))
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* (pow x 4) (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(fma.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)) #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 #s(literal -1/8 binary32) (*.f32 x x)) (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/2 binary32))) (neg.f32 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 (fma.f32 (/.f32 #s(literal 5/128 binary32) (.f32 x x)) #s(literal -1 binary32) #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))
(+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(-.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(-.f32 (+.f32 (/.f32 #s(literal -3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (log.f32 #s(literal -2 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))))
(-.f32 (+.f32 (-.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal -45/2 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) #s(literal 1/720 binary32) #s(literal -1/48 binary32)) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 #s(literal -2 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(* -1 (* x (- (pow (sqrt -1) 2) 1)))
(*.f32 #s(literal 2 binary32) x)
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1)))
(.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) x)
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 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)
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))))
(.f32 (fma.f32 #s(literal -1 binary32) (-.f32 (/.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) (pow.f32 x #s(literal 6 binary32))) (-.f32 (/.f32 #s(literal -1/2 binary32) (.f32 x x)) #s(literal -2 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x)
(* -1 (* x (pow (sqrt -1) 2)))
x
(* -1 (* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))))
(fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x x)
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))))
(fma.f32 (/.f32 x x) (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) x) x)
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))))
(.f32 (neg.f32 x) (-.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) (pow.f32 x #s(literal 6 binary32))) (-.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)))))
(* -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 #s(literal -1 binary32) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal -1/2 binary32) (.f32 x x))) x)
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
(.f32 (neg.f32 x) (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))))

rewrite237.0ms (5.6%)

Memory

7.2MiB live, 273.0MiB allocated; 79ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	186
0	50	210
1	212	67
2	1714	59
0	8351	59

Stop Event

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

Counts

14 → 1 147

Calls

Call 1

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

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

eval214.0ms (5.1%)

Memory: -19.1MiB live, 291.6MiB allocated; 157ms collecting garbage
Compiler: Compiled 29 338 to 4 467 computations (84.8% saved)

prune21.0ms (0.5%)

Memory

25.4MiB live, 72.8MiB allocated; 1ms collecting garbage

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	831	2	833
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	833	4	837

Accuracy

100.0%

Counts

837 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.7%	(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
▶	16.2%	(log.f32 (+.f32 x (sqrt.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 5 binary32)) x #s(literal -1 binary32)) (*.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))))))
▶	96.4%	(log.f32 (+.f32 x #s(approx (sqrt (/ (* (- (pow x 3) 1) (+ (pow x 3) 1)) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x)))) x)))
✓	99.3%	(acosh.f32 x)

Compiler

Compiled 67 to 41 computations (38.8% saved)

simplify349.0ms (8.2%)

Memory

-30.9MiB live, 296.5MiB allocated; 39ms collecting garbage

Localize:

Found 7 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 5 binary32)) x #s(literal -1 binary32)) (*.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))))
cost-diff	0	(+.f32 x (sqrt.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 5 binary32)) x #s(literal -1 binary32)) (*.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x)))))
cost-diff	0	(log.f32 (+.f32 x (sqrt.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 5 binary32)) x #s(literal -1 binary32)) (*.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))))))
cost-diff	1	(fma.f32 (pow.f32 x #s(literal 5 binary32)) x #s(literal -1 binary32))
cost-diff	0	#s(approx (sqrt (/ (* (- (pow x 3) 1) (+ (pow x 3) 1)) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x)))) x)
cost-diff	0	(+.f32 x #s(approx (sqrt (/ (* (- (pow x 3) 1) (+ (pow x 3) 1)) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x)))) x))
cost-diff	0	(log.f32 (+.f32 x #s(approx (sqrt (/ (* (- (pow x 3) 1) (+ (pow x 3) 1)) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x)))) x)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	223
0	45	218
1	87	212
2	252	200
3	994	200
4	5186	200
0	8459	200

Stop Event

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

Calls

Call 1

Inputs
(log.f32 (+.f32 x #s(approx (sqrt (/ (* (- (pow x 3) 1) (+ (pow x 3) 1)) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x)))) x)))
(+.f32 x #s(approx (sqrt (/ (* (- (pow x 3) 1) (+ (pow x 3) 1)) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x)))) x))
x
#s(approx (sqrt (/ (* (- (pow x 3) 1) (+ (pow x 3) 1)) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x)))) x)
(log.f32 (+.f32 x (sqrt.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 5 binary32)) x #s(literal -1 binary32)) (*.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))))))
(+.f32 x (sqrt.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 5 binary32)) x #s(literal -1 binary32)) (*.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x)))))
x
(sqrt.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 5 binary32)) x #s(literal -1 binary32)) (*.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))))
(/.f32 (fma.f32 (pow.f32 x #s(literal 5 binary32)) x #s(literal -1 binary32)) (*.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x)))
(fma.f32 (pow.f32 x #s(literal 5 binary32)) x #s(literal -1 binary32))
(pow.f32 x #s(literal 5 binary32))
#s(literal 5 binary32)
#s(literal -1 binary32)
(*.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))
(fma.f32 x x (+.f32 #s(literal 1 binary32) x))
(+.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
(-.f32 (fma.f32 x x #s(literal 1 binary32)) x)
(fma.f32 x x #s(literal 1 binary32))

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

localize136.0ms (3.2%)

Memory

39.0MiB live, 222.5MiB allocated; 30ms collecting garbage

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.1015625	(*.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))
accuracy	0.24942255014673598	(log.f32 (+.f32 x (sqrt.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 5 binary32)) x #s(literal -1 binary32)) (*.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))))))
accuracy	14.273121544486326	(sqrt.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 5 binary32)) x #s(literal -1 binary32)) (*.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))))
accuracy	20.643534930661396	(/.f32 (fma.f32 (pow.f32 x #s(literal 5 binary32)) x #s(literal -1 binary32)) (*.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x)))
accuracy	0.01953125	(+.f32 x #s(approx (sqrt (/ (* (- (pow x 3) 1) (+ (pow x 3) 1)) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x)))) x))
accuracy	0.24942255014673598	(log.f32 (+.f32 x #s(approx (sqrt (/ (* (- (pow x 3) 1) (+ (pow x 3) 1)) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x)))) x)))
accuracy	1.205688065623627	#s(approx (sqrt (/ (* (- (pow x 3) 1) (+ (pow x 3) 1)) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x)))) x)

Samples

109.0ms

256×

valid

Compiler

Compiled 243 to 28 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-add: 35.0ms (37.9% of total)

ival-div: 21.0ms (22.7% of total)

ival-mult: 9.0ms (9.7% of total)

ival-pow: 9.0ms (9.7% of total)

ival-log: 8.0ms (8.7% of total)

ival-sqrt: 5.0ms (5.4% of total)

ival-sub: 4.0ms (4.3% of total)

exact: 1.0ms (1.1% of total)

adjust: 0.0ms (0% of total)

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

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

series16.0ms (0.4%)

Memory

-23.8MiB live, 19.1MiB allocated; 14ms collecting garbage

Counts

9 → 60

Calls

Call 1

Inputs
(log.f32 (+.f32 x #s(approx (sqrt (/ (* (- (pow x 3) 1) (+ (pow x 3) 1)) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x)))) x)))
(+.f32 x #s(approx (sqrt (/ (* (- (pow x 3) 1) (+ (pow x 3) 1)) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x)))) x))
#s(approx (sqrt (/ (* (- (pow x 3) 1) (+ (pow x 3) 1)) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x)))) x)
(fma.f32 (pow.f32 x #s(literal 5 binary32)) x #s(literal -1 binary32))
(log.f32 (+.f32 x (sqrt.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 5 binary32)) x #s(literal -1 binary32)) (*.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))))))
(+.f32 x (sqrt.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 5 binary32)) x #s(literal -1 binary32)) (*.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x)))))
(sqrt.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 5 binary32)) x #s(literal -1 binary32)) (*.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))))
(/.f32 (fma.f32 (pow.f32 x #s(literal 5 binary32)) x #s(literal -1 binary32)) (*.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x)))
(*.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))

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))))))))
(+ (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 6) 1)
(- (pow x 2) 1)
1
(+ 1 (pow x 2))
(+ 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
(* 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 6)
(* (pow x 6) (- 1 (/ 1 (pow x 6))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 4)
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))))
(* -1 (* x (- (pow (sqrt -1) 2) 1)))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1)))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))))
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 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

9.0ms

-inf

((log (+ x (sqrt (/ (* (- (pow x 3) 1) (+ (pow x 3) 1)) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x)))))) (+ x (sqrt (/ (* (- (pow x 3) 1) (+ (pow x 3) 1)) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x))))) (sqrt (/ (* (- (pow x 3) 1) (+ (pow x 3) 1)) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x)))) (+ (* (pow x 5) x) -1) (log (+ x (sqrt (/ (+ (* (pow x 5) x) -1) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x)))))) (+ x (sqrt (/ (+ (* (pow x 5) x) -1) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x))))) (sqrt (/ (+ (* (pow x 5) x) -1) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x)))) (/ (+ (* (pow x 5) x) -1) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x))) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x)))

3.0ms

inf

((log (+ x (sqrt (/ (* (- (pow x 3) 1) (+ (pow x 3) 1)) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x)))))) (+ x (sqrt (/ (* (- (pow x 3) 1) (+ (pow x 3) 1)) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x))))) (sqrt (/ (* (- (pow x 3) 1) (+ (pow x 3) 1)) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x)))) (+ (* (pow x 5) x) -1) (log (+ x (sqrt (/ (+ (* (pow x 5) x) -1) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x)))))) (+ x (sqrt (/ (+ (* (pow x 5) x) -1) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x))))) (sqrt (/ (+ (* (pow x 5) x) -1) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x)))) (/ (+ (* (pow x 5) x) -1) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x))) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x)))

2.0ms

((log (+ x (sqrt (/ (* (- (pow x 3) 1) (+ (pow x 3) 1)) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x)))))) (+ x (sqrt (/ (* (- (pow x 3) 1) (+ (pow x 3) 1)) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x))))) (sqrt (/ (* (- (pow x 3) 1) (+ (pow x 3) 1)) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x)))) (+ (* (pow x 5) x) -1) (log (+ x (sqrt (/ (+ (* (pow x 5) x) -1) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x)))))) (+ x (sqrt (/ (+ (* (pow x 5) x) -1) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x))))) (sqrt (/ (+ (* (pow x 5) x) -1) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x)))) (/ (+ (* (pow x 5) x) -1) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x))) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x)))

simplify281.0ms (6.6%)

Memory

11.2MiB live, 266.1MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	239	918
1	737	743
2	2735	731
0	8525	712

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 59

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))))))))
(+ (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 6) 1)
(- (pow x 2) 1)
1
(+ 1 (pow x 2))
(+ 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
(* 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 6)
(* (pow x 6) (- 1 (/ 1 (pow x 6))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 4)
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))))
(* -1 (* x (- (pow (sqrt -1) 2) 1)))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1)))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))))
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 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 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) #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)) (-.f32 (/.f32 (.f32 #s(literal 3/40 binary32) (.f32 x 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 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/8 binary32) (.f32 x x)) #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(fma.f32 (*.f32 x (/.f32 x (sqrt.f32 #s(literal -1 binary32)))) #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 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/8 binary32) (.f32 x x)) #s(literal -1 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)) (-.f32 (/.f32 (.f32 #s(literal 1/16 binary32) (.f32 x 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 x (/.f32 x (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))))
-1
#s(literal -1 binary32)
(- (pow x 6) 1)
(-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))
(- (pow x 2) 1)
(fma.f32 x x #s(literal -1 binary32))
1
#s(literal 1 binary32)
(+ 1 (pow x 2))
(fma.f32 x x #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1 (pow x 2))))
(fma.f32 x (+.f32 (pow.f32 x #s(literal 3 binary32)) 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 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 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))))
(-.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 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) x)
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)))))
(.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) x)
(pow x 6)
(pow.f32 x #s(literal 6 binary32))
(* (pow x 6) (- 1 (/ 1 (pow x 6))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (pow.f32 x #s(literal 6 binary32)))
(pow x 2)
(*.f32 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)
(pow x 4)
(pow.f32 x #s(literal 4 binary32))
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* (pow x 4) (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(fma.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))
(+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(-.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(-.f32 (+.f32 (/.f32 #s(literal -3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (log.f32 #s(literal -2 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))))
(-.f32 (+.f32 (-.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal -45/2 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) #s(literal 1/720 binary32) #s(literal -1/48 binary32)) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 #s(literal -2 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(* -1 (* x (- (pow (sqrt -1) 2) 1)))
(*.f32 #s(literal 2 binary32) x)
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1)))
(.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) x)
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 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)
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))))
(.f32 (fma.f32 #s(literal -1 binary32) (-.f32 (/.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) (pow.f32 x #s(literal 6 binary32))) (-.f32 (/.f32 #s(literal -1/2 binary32) (.f32 x x)) #s(literal -2 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x)
(* -1 (* x (pow (sqrt -1) 2)))
x
(* -1 (* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))))
(fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x x)
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))))
(fma.f32 (/.f32 x x) (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) x) x)
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))))
(.f32 (neg.f32 x) (-.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) (pow.f32 x #s(literal 6 binary32))) (-.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)))))
(+ (log -1/2) (log (/ -1 x)))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(-.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.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 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.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 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.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 #s(literal -1/8 binary32) (*.f32 x x)) (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/2 binary32))) (neg.f32 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 (fma.f32 (/.f32 #s(literal 5/128 binary32) (.f32 x x)) #s(literal -1 binary32) #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 #s(literal -1 binary32) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal -1/2 binary32) (.f32 x x))) x)
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
(.f32 (neg.f32 x) (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))))

rewrite274.0ms (6.5%)

Memory

-17.4MiB live, 311.9MiB allocated; 72ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	196
0	45	191
1	201	149
2	1737	149
0	8492	147

Stop Event

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

Counts

9 → 696

Calls

Call 1

Inputs
(log.f32 (+.f32 x #s(approx (sqrt (/ (* (- (pow x 3) 1) (+ (pow x 3) 1)) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x)))) x)))
(+.f32 x #s(approx (sqrt (/ (* (- (pow x 3) 1) (+ (pow x 3) 1)) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x)))) x))
#s(approx (sqrt (/ (* (- (pow x 3) 1) (+ (pow x 3) 1)) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x)))) x)
(fma.f32 (pow.f32 x #s(literal 5 binary32)) x #s(literal -1 binary32))
(log.f32 (+.f32 x (sqrt.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 5 binary32)) x #s(literal -1 binary32)) (*.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))))))
(+.f32 x (sqrt.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 5 binary32)) x #s(literal -1 binary32)) (*.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x)))))
(sqrt.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 5 binary32)) x #s(literal -1 binary32)) (*.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))))
(/.f32 (fma.f32 (pow.f32 x #s(literal 5 binary32)) x #s(literal -1 binary32)) (*.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x)))
(*.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))

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

eval132.0ms (3.1%)

Memory: 11.9MiB live, 204.4MiB allocated; 28ms collecting garbage
Compiler: Compiled 33 285 to 4 105 computations (87.7% saved)

prune19.0ms (0.4%)

Memory

14.5MiB live, 60.1MiB allocated; 5ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	749	0	749
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	749	4	753

Accuracy

100.0%

Counts

753 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.7%	(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
✓	16.2%	(log.f32 (+.f32 x (sqrt.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 5 binary32)) x #s(literal -1 binary32)) (*.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))))))
✓	96.4%	(log.f32 (+.f32 x #s(approx (sqrt (/ (* (- (pow x 3) 1) (+ (pow x 3) 1)) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x)))) x)))
✓	99.3%	(acosh.f32 x)

Compiler

Compiled 185 to 99 computations (46.5% saved)

regimes23.0ms (0.5%)

Memory

-39.0MiB live, 25.1MiB allocated; 16ms collecting garbage

Accuracy

Total -27.5b remaining (-11531.8%)

Threshold costs -27.5b (-11531.8%)

Counts

7 → 1

Calls

Call 1

Inputs
(acosh.f32 x)
(log.f32 (+.f32 x #s(approx (sqrt (/ (* (- (pow x 3) 1) (+ (pow x 3) 1)) (* (+ (* x x) (+ 1 x)) (- (+ (* x x) 1) x)))) x)))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(log.f32 (+.f32 x (sqrt.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 5 binary32)) x #s(literal -1 binary32)) (*.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))))))
(log.f32 (+.f32 x (sqrt.f32 (/.f32 (.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))))))

Outputs
(acosh.f32 x)

Calls

3 calls:

7.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
4.0ms	x
4.0ms	(+.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)

simplify15.0ms (0.3%)

Memory

25.3MiB live, 25.3MiB 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)

derivations114.0ms (2.7%)

Memory

-3.5MiB live, 86.6MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	28
0	12	15
1	53	15
2	369	13
0	4556	12

Stop Event

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

Compiler

Compiled 2 to 2 computations (0% saved)

preprocess28.0ms (0.7%)

Memory: -12.3MiB live, 33.6MiB allocated; 5ms collecting garbage
Compiler: Compiled 46 to 36 computations (21.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample816.0ms (19.3%)

explain142.0ms (3.4%)

preprocess173.0ms (4.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify176.0ms (4.2%)

localize74.0ms (1.7%)

series5.0ms (0.1%)

simplify201.0ms (4.8%)

rewrite187.0ms (4.4%)

eval43.0ms (1%)

prune5.0ms (0.1%)

simplify207.0ms (4.9%)

localize135.0ms (3.2%)

series11.0ms (0.3%)

simplify199.0ms (4.7%)

rewrite237.0ms (5.6%)

eval214.0ms (5.1%)

prune21.0ms (0.5%)

simplify349.0ms (8.2%)

localize136.0ms (3.2%)

series16.0ms (0.4%)

simplify281.0ms (6.6%)

rewrite274.0ms (6.5%)

eval132.0ms (3.1%)

prune19.0ms (0.4%)

regimes23.0ms (0.5%)

simplify15.0ms (0.3%)

derivations114.0ms (2.7%)

preprocess28.0ms (0.7%)

end0.0ms (0%)

Profiling