Metrics for Rust f32::acosh

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

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)

sample563.0ms (12%)

Memory

-2.4MiB live, 751.4MiB allocated

Samples

354.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 223.0ms

ival-acosh: 189.0ms (84.6% of total)

ival->=: 24.0ms (10.7% of total)

exact: 7.0ms (3.1% of total)

ival-assert: 4.0ms (1.8% of total)

Bogosity

explain170.0ms (3.6%)

Memory

3.6MiB live, 151.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
134	-	-	`(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	134	0
↳	`(*.f32 x x)`	overflow	134
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	134
`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	134
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	134

Confusion

	Predicted +	Predicted -
+	134	0
-	0	122

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	134	0	0
-	0	0	122

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	122
1	132
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

60.0ms

512×

valid

Compiler

Compiled 79 to 25 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-sqrt: 33.0ms (67.9% of total)

ival-log: 5.0ms (10.3% of total)

ival-mult: 4.0ms (8.2% of total)

ival-sub: 3.0ms (6.2% of total)

ival-add: 3.0ms (6.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess271.0ms (5.8%)

Memory

-25.9MiB live, 227.8MiB allocated

Algorithm

1×	egg-herbie

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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.0%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify152.0ms (3.2%)

Memory

6.4MiB live, 237.4MiB allocated

Algorithm

1×	egg-herbie

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)

localize20.0ms (0.4%)

Memory

35.0MiB live, 35.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f32 (*.f32 x x) #s(literal 1 binary32))
accuracy	0.01953125	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
accuracy	0.24551637757529868	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
accuracy	14.397602627163607	(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))

Samples

14.0ms

256×

valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-log: 3.0ms (33.5% of total)

ival-mult: 2.0ms (22.3% of total)

ival-sqrt: 2.0ms (22.3% of total)

ival-sub: 1.0ms (11.2% of total)

ival-add: 1.0ms (11.2% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated

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)))

simplify167.0ms (3.6%)

Memory

1.7MiB live, 221.1MiB allocated

Algorithm

1×	egg-herbie

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))

rewrite167.0ms (3.6%)

Memory

-3.0MiB live, 148.0MiB allocated

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

eval38.0ms (0.8%)

Memory: 10.7MiB live, 54.6MiB allocated
Compiler: Compiled 5 950 to 1 278 computations (78.5% saved)

prune102.0ms (2.2%)

Memory

-39.6MiB live, 63.6MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	264	3	267
Fresh	0	0	0
Picked	0	1	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
✓	51.0%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
▶	97.6%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
▶	99.3%	(acosh.f32 x)
▶	98.5%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))

Compiler

Compiled 45 to 35 computations (22.2% saved)

simplify163.0ms (3.5%)

Memory

43.7MiB live, 185.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
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)
cost-diff	0	(log.f32 x)
cost-diff	0	(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
cost-diff	0	(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
cost-diff	0	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	85
0	29	85
1	47	85
2	78	85
3	127	85
4	206	85
5	310	85
6	528	85
7	818	85
8	1202	85
9	1925	85
10	5432	85
11	6660	85
12	7491	85
0	8134	82

Stop Event

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

Calls

Call 1

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

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

localize46.0ms (1%)

Memory

6.4MiB live, 140.9MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f32 #s(literal 2 binary32) x)
accuracy	0.24551637757529868	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
accuracy	0.6573431740822557	#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))
accuracy	0.234375	(acosh.f32 x)
accuracy	0.0078125	(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
accuracy	0.20542408158072728	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
accuracy	0.27734375	(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
accuracy	0.8396874354129115	(/.f32 #s(literal 1/4 binary32) (*.f32 x x))

Samples

32.0ms

256×

valid

Compiler

Compiled 67 to 18 computations (73.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-log: 7.0ms (28.9% of total)

ival-mult: 5.0ms (20.6% of total)

ival-sub: 3.0ms (12.4% of total)

ival-acosh: 3.0ms (12.4% of total)

ival-div: 2.0ms (8.3% of total)

ival-add: 2.0ms (8.3% of total)

ival-sqrt: 2.0ms (8.3% of total)

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

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

exact: 0.0ms (0% of total)

series120.0ms (2.6%)

Memory

-0.7MiB live, 242.5MiB allocated

Counts

9 → 33

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
57.0ms	x	@	-inf	((log (+ x (sqrt (- (* x x) 1)))) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (+ (log x) (log 2)) (log x) (acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) (/ 1/4 (* x x)))
46.0ms	x	@	0	((log (+ x (sqrt (- (* x x) 1)))) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (+ (log x) (log 2)) (log x) (acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) (/ 1/4 (* x x)))
16.0ms	x	@	inf	((log (+ x (sqrt (- (* x x) 1)))) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (+ (log x) (log 2)) (log x) (acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) (/ 1/4 (* x x)))

Time

Variable

Point

Expression

57.0ms

-inf

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

46.0ms

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

16.0ms

inf

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

simplify242.0ms (5.2%)

Memory

-46.2MiB live, 197.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	138	407
1	421	388
2	1429	376
3	6038	376
0	8060	366

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 33

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)))))
(/ -1/4 (pow x 2))
(/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))
(+ (log 2) (log x))
(log x)
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(* 2 x)
(/ 1/4 (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))))
(* -1 (log (/ 1 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)))))
(+ (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)))))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -1) (* -1 (log (/ -1 x))))
(/ 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))

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

rewrite217.0ms (4.7%)

Memory

22.0MiB live, 208.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	74
0	29	58
1	106	58
2	812	54
0	8293	54

Stop Event

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

Counts

9 → 146

Calls

Call 1

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

Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))
(/.f32 (-.f32 (.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x)))) (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))))) (.f32 (/.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x)))) (/.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x)))))) (+.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x)))) (/.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (*.f32 #s(literal 2 binary32) x))))))
(/.f32 (-.f32 (.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32))))) (.f32 (/.f32 (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 6 binary32))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)))) (/.f32 (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 6 binary32))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)))))) (+.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)))) (/.f32 (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 6 binary32))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32))))))
(/.f32 (-.f32 (pow.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 2 binary32)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) (-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (log.f32 x)))
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(/.f32 (+.f32 (pow.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))) (/.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))) (-.f32 (.f32 (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))) (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32))))) (.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))) (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32))))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))) (neg.f32 (log.f32 (/.f32 #s(literal 2 binary32) x))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32))))) (neg.f32 (neg.f32 (log.f32 (/.f32 x #s(literal 2 binary32))))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32))))))
(/.f32 (-.f32 (.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (/.f32 x #s(literal 2 binary32)))) (.f32 (log.f32 (/.f32 x #s(literal 2 binary32))) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))) (pow.f32 (log.f32 (/.f32 x #s(literal 2 binary32))) #s(literal 2 binary32)))
(/.f32 (fma.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) (*.f32 (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)))) (pow.f32 (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) #s(literal 2 binary32)))
(/.f32 (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) (log.f32 (/.f32 #s(literal 2 binary32) x)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))) (neg.f32 (log.f32 (/.f32 x #s(literal 2 binary32)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 #s(literal 1/2 binary32)) (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (pow.f32 x (log.f32 #s(literal 2 binary32))))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (log.f32 (/.f32 x #s(literal 2 binary32))))
(/.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (fma.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 #s(literal 1/2 binary32)) (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (pow.f32 x (log.f32 #s(literal 2 binary32)))))))
(/.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x))) (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x))))
(-.f32 (log.f32 (fma.f32 x x (*.f32 (neg.f32 x) x))) (log.f32 (-.f32 x x)))
(-.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 x x (fma.f32 x x (*.f32 (neg.f32 x) x)))))
(-.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (/.f32 x #s(literal 2 binary32)))) (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (/.f32 x #s(literal 2 binary32)))))
(+.f32 (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (fma.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 #s(literal 1/2 binary32)) (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (pow.f32 x (log.f32 #s(literal 2 binary32))))))) (/.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) (fma.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 #s(literal 1/2 binary32)) (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (pow.f32 x (log.f32 #s(literal 2 binary32))))))))
(+.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) (fma.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 #s(literal 1/2 binary32)) (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (pow.f32 x (log.f32 #s(literal 2 binary32))))))) (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (fma.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 #s(literal 1/2 binary32)) (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (pow.f32 x (log.f32 #s(literal 2 binary32))))))))
(+.f32 (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))) (/.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))))
(+.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))) (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))))
(+.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (/.f32 x #s(literal 2 binary32)))) (/.f32 (log.f32 (pow.f32 #s(literal 2 binary32) (log.f32 #s(literal 1/2 binary32)))) (log.f32 (/.f32 x #s(literal 2 binary32)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(log.f32 x)
(acosh.f32 x)
(log.f32 (exp.f32 (acosh.f32 x)))
(/.f32 (-.f32 (.f32 (log.f32 (-.f32 (.f32 x x) (fma.f32 x x #s(literal -1 binary32)))) (log.f32 (-.f32 (.f32 x x) (fma.f32 x x #s(literal -1 binary32))))) (.f32 (log.f32 (-.f32 x (sinh.f32 (acosh.f32 x)))) (log.f32 (-.f32 x (sinh.f32 (acosh.f32 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 (-.f32 (.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 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (.f32 (log.f32 (fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (.f32 x x))) (log.f32 (fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (.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)))))
(/.f32 (-.f32 (pow.f32 (log.f32 (-.f32 (.f32 x x) (fma.f32 x x #s(literal -1 binary32)))) #s(literal 3 binary32)) (pow.f32 (log.f32 (-.f32 x (sinh.f32 (acosh.f32 x)))) #s(literal 3 binary32))) (fma.f32 (log.f32 (-.f32 (.f32 x x) (fma.f32 x x #s(literal -1 binary32)))) (log.f32 (-.f32 (.f32 x x) (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 (log.f32 (-.f32 x (sinh.f32 (acosh.f32 x)))) (log.f32 (-.f32 x (sinh.f32 (acosh.f32 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 (-.f32 (pow.f32 (log.f32 (-.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) #s(literal 3 binary32)) (pow.f32 (log.f32 (fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (.f32 x x))) #s(literal 3 binary32))) (fma.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 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 (log.f32 (fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (.f32 x x))) (log.f32 (fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (.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)))))))
(-.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 (fma.f32 x x (*.f32 (neg.f32 x) x))) (neg.f32 (-.f32 x x)))
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 x x (fma.f32 x x (*.f32 (neg.f32 x) x)))))
(/.f32 (fma.f32 x x (*.f32 (neg.f32 x) x)) (-.f32 x x))
(/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 x x (fma.f32 x x (*.f32 (neg.f32 x) x))))
(-.f32 (/.f32 (.f32 x x) (-.f32 x x)) (/.f32 (.f32 x x) (-.f32 x x)))
(fma.f32 (pow.f32 x #s(literal 1/2 binary32)) (pow.f32 x #s(literal 1/2 binary32)) x)
(fma.f32 (sqrt.f32 (neg.f32 (neg.f32 x))) (sqrt.f32 (neg.f32 (neg.f32 x))) x)
(fma.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (*.f32 (neg.f32 x) #s(literal 1 binary32))) x)
(fma.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)) x)
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) x)
(fma.f32 #s(literal 1 binary32) x x)
(fma.f32 x #s(literal 1 binary32) x)
(+.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x (fma.f32 x x (.f32 (neg.f32 x) x)))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x (fma.f32 x x (.f32 (neg.f32 x) x)))))
(+.f32 x x)
(sqrt.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))))
(/.f32 (neg.f32 (/.f32 #s(literal 1/4 binary32) (neg.f32 x))) (neg.f32 (neg.f32 x)))
(/.f32 (neg.f32 (neg.f32 (/.f32 #s(literal 1/4 binary32) x))) (neg.f32 (neg.f32 x)))
(/.f32 (fabs.f32 (/.f32 #s(literal 1/4 binary32) (neg.f32 x))) x)
(/.f32 (fabs.f32 (neg.f32 (/.f32 #s(literal 1/4 binary32) x))) x)
(/.f32 (fabs.f32 (/.f32 #s(literal 1/4 binary32) x)) x)
(/.f32 (/.f32 #s(literal 1/4 binary32) (neg.f32 x)) (neg.f32 x))
(/.f32 (neg.f32 (/.f32 #s(literal 1/4 binary32) x)) (neg.f32 x))
(/.f32 (/.f32 #s(literal 1/4 binary32) x) x)
(/.f32 #s(literal -1/4 binary32) (*.f32 (neg.f32 x) x))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
(fabs.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(fabs.f32 (neg.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
(fabs.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(neg.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))

eval70.0ms (1.5%)

Memory: 19.8MiB live, 62.7MiB allocated
Compiler: Compiled 7 269 to 859 computations (88.2% saved)

prune3.0ms (0.1%)

Memory

15.0MiB live, 14.9MiB allocated

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	175	3	178
Fresh	0	0	0
Picked	2	1	3
Done	0	1	1
Total	177	5	182

Accuracy

100.0%

Counts

182 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.0%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
▶	97.6%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x)))
✓	99.3%	(acosh.f32 x)
▶	98.6%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))
▶	5.4%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))

Compiler

Compiled 71 to 52 computations (26.8% saved)

simplify180.0ms (3.8%)

Memory

-24.2MiB live, 167.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f32 x x)
cost-diff	0	#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x))
cost-diff	0	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x)))
cost-diff	0	(*.f32 #s(literal 2 binary32) x)
cost-diff	0	(log.f32 (*.f32 #s(literal 2 binary32) x))
cost-diff	0	(-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))
cost-diff	0	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))
cost-diff	0	(*.f32 x x)
cost-diff	0	(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
cost-diff	0	#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
cost-diff	0	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	131
0	36	131
1	56	131
2	91	131
3	147	131
4	231	131
5	330	131
6	548	131
7	837	131
8	1221	131
9	1949	131
10	5461	131
11	6693	131
12	7523	131
0	8167	127

Stop Event

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

Calls

Call 1

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

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

localize69.0ms (1.5%)

Memory

22.1MiB live, 120.5MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f32 x x)
accuracy	0.24551637757529868	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x)))
accuracy	0.6573431740822557	#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x))
accuracy	0.0078125	(-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))
accuracy	0.20542408158072728	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))
accuracy	0.2337976275752987	(log.f32 (*.f32 #s(literal 2 binary32) x))
accuracy	0.8396874354129115	(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
accuracy	0.0	(*.f32 x x)
accuracy	0.20542408158072728	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
accuracy	0.8396874354129115	(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
accuracy	30.280080546288797	#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))

Samples

41.0ms

256×

valid

Compiler

Compiled 90 to 22 computations (75.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-log: 9.0ms (27.9% of total)

ival-mult: 7.0ms (21.7% of total)

ival-div: 6.0ms (18.6% of total)

ival-sub: 4.0ms (12.4% of total)

ival-add: 3.0ms (9.3% of total)

ival-sqrt: 2.0ms (6.2% of total)

exact: 1.0ms (3.1% of total)

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

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

series190.0ms (4.1%)

Memory

-24.3MiB live, 207.4MiB allocated

Counts

12 → 33

Calls

Call 1

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

Calls

3 calls:

Time

Variable

Point

Expression

94.0ms

inf

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

82.0ms

-inf

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

14.0ms

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

simplify192.0ms (4.1%)

Memory

17.1MiB live, 200.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	420
1	427	400
2	1446	388
3	6065	388
0	8086	378

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 33

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)))))
(/ -1/4 (pow x 2))
(/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))
(pow x 2)
(+ (log 2) (log x))
(* 2 x)
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(/ 1/4 (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)))))
(+ (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)))))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(/ 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))

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

rewrite180.0ms (3.9%)

Memory

21.3MiB live, 307.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	122
0	36	100
1	136	100
2	931	96
0	8306	96

Stop Event

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

Counts

12 → 198

Calls

Call 1

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

Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x))
(/.f32 (neg.f32 (neg.f32 (/.f32 #s(literal -1/4 binary32) x))) (neg.f32 (neg.f32 x)))
(/.f32 (neg.f32 (/.f32 #s(literal 1/4 binary32) x)) (neg.f32 (neg.f32 x)))
(/.f32 (neg.f32 (/.f32 #s(literal -1/4 binary32) x)) (neg.f32 x))
(/.f32 (/.f32 #s(literal 1/4 binary32) x) (neg.f32 x))
(/.f32 (/.f32 #s(literal -1/4 binary32) x) x)
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 #s(literal 1/4 binary32) (*.f32 (neg.f32 x) x))
(neg.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(*.f32 (neg.f32 (neg.f32 (neg.f32 x))) (neg.f32 (neg.f32 (neg.f32 x))))
(*.f32 (exp.f32 (log.f32 x)) (exp.f32 (log.f32 x)))
(*.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x)))
(.f32 (neg.f32 x) (.f32 (neg.f32 x) #s(literal 1 binary32)))
(*.f32 (neg.f32 x) (neg.f32 x))
(.f32 (.f32 x x) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (.f32 x x))
(.f32 x (fabs.f32 (.f32 (neg.f32 x) #s(literal 1 binary32))))
(*.f32 x x)
(sqrt.f32 (pow.f32 x #s(literal 4 binary32)))
(pow.f32 (exp.f32 (log.f32 x)) #s(literal 2 binary32))
(pow.f32 (neg.f32 (neg.f32 x)) #s(literal 2 binary32))
(pow.f32 (neg.f32 x) #s(literal 2 binary32))
(pow.f32 (*.f32 x x) #s(literal 1 binary32))
(pow.f32 x #s(literal 2 binary32))
(fabs.f32 (*.f32 (neg.f32 x) x))
(fabs.f32 (*.f32 x x))
(+.f32 (cosh.f32 (.f32 #s(literal 2 binary32) (log.f32 x))) (sinh.f32 (.f32 #s(literal 2 binary32) (log.f32 x))))
(exp.f32 (*.f32 (log.f32 (neg.f32 x)) #s(literal 2 binary32)))
(exp.f32 (*.f32 #s(literal 2 binary32) (log.f32 x)))
(neg.f32 (*.f32 (neg.f32 x) x))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))
(/.f32 (-.f32 (.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x)))) (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))))) (.f32 (/.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x)))) (/.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x)))))) (+.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x)))) (/.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (*.f32 #s(literal 2 binary32) x))))))
(/.f32 (-.f32 (.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32))))) (.f32 (/.f32 (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 6 binary32))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)))) (/.f32 (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 6 binary32))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)))))) (+.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)))) (/.f32 (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 6 binary32))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32))))))
(/.f32 (-.f32 (pow.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 2 binary32)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) (-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (log.f32 x)))
(/.f32 (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (.f32 (-.f32 (log.f32 x) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (-.f32 (log.f32 x) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))) (-.f32 (log.f32 #s(literal 2 binary32)) (-.f32 (log.f32 x) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x)))) (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x)))) (fma.f32 (/.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x)))) (/.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x)))) (.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x)))) (/.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (*.f32 #s(literal 2 binary32) x))))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 6 binary32))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)))) (fma.f32 (/.f32 (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 6 binary32))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)))) (/.f32 (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 6 binary32))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)))) (.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)))) (/.f32 (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 6 binary32))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32))))))))
(/.f32 (+.f32 (pow.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (+.f32 (pow.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 2 binary32)) (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (log.f32 x)))))
(/.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (-.f32 (log.f32 x) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 3 binary32))) (fma.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 #s(literal 1/2 binary32)) (-.f32 (.f32 (-.f32 (log.f32 x) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (-.f32 (log.f32 x) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))) (.f32 (log.f32 #s(literal 2 binary32)) (-.f32 (log.f32 x) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (pow.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 2 binary32)))) (neg.f32 (-.f32 (log.f32 x) (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) (pow.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (log.f32 x) (log.f32 x) (-.f32 (pow.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 2 binary32)) (.f32 (log.f32 x) (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32)))))) (neg.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (*.f32 #s(literal 2 binary32) x))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32)) (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 6 binary32)))))) (neg.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32))))))
(/.f32 (neg.f32 (-.f32 (.f32 (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) x) (.f32 (log.f32 (/.f32 x #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) x)))) (neg.f32 (*.f32 (log.f32 (/.f32 x #s(literal 2 binary32))) x)))
(/.f32 (neg.f32 (-.f32 (.f32 (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (.f32 (neg.f32 x) x)) (.f32 (log.f32 (/.f32 x #s(literal 2 binary32))) #s(literal -1/4 binary32)))) (neg.f32 (.f32 (log.f32 (/.f32 x #s(literal 2 binary32))) (*.f32 (neg.f32 x) x))))
(/.f32 (neg.f32 (-.f32 (.f32 (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (.f32 x x)) (.f32 (log.f32 (/.f32 x #s(literal 2 binary32))) #s(literal 1/4 binary32)))) (neg.f32 (.f32 (log.f32 (/.f32 x #s(literal 2 binary32))) (*.f32 x x))))
(/.f32 (neg.f32 (-.f32 (.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) x) (.f32 (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) x)))) (neg.f32 (*.f32 (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) x)))
(/.f32 (neg.f32 (-.f32 (.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (.f32 (neg.f32 x) x)) (.f32 (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) #s(literal -1/4 binary32)))) (neg.f32 (.f32 (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) (*.f32 (neg.f32 x) x))))
(/.f32 (neg.f32 (-.f32 (.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (.f32 x x)) (.f32 (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) #s(literal 1/4 binary32)))) (neg.f32 (.f32 (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) (*.f32 x x))))
(/.f32 (-.f32 (.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x)))) (.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))))) (.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x)))))
(/.f32 (-.f32 (.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)))) (.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32))) (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 6 binary32))))) (.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)))))
(/.f32 (-.f32 (.f32 (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) (neg.f32 x)) (.f32 (log.f32 (/.f32 #s(literal 2 binary32) x)) (neg.f32 (/.f32 #s(literal 1/4 binary32) x)))) (*.f32 (log.f32 (/.f32 #s(literal 2 binary32) x)) (neg.f32 x)))
(/.f32 (-.f32 (.f32 (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) x) (.f32 (log.f32 (/.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) x))) (*.f32 (log.f32 (/.f32 #s(literal 2 binary32) x)) x))
(/.f32 (-.f32 (.f32 (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) (neg.f32 x)) (.f32 (log.f32 (/.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal -1/4 binary32) x))) (*.f32 (log.f32 (/.f32 #s(literal 2 binary32) x)) (neg.f32 x)))
(/.f32 (-.f32 (.f32 (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) (.f32 (neg.f32 x) x)) (.f32 (log.f32 (/.f32 #s(literal 2 binary32) x)) #s(literal -1/4 binary32))) (.f32 (log.f32 (/.f32 #s(literal 2 binary32) x)) (*.f32 (neg.f32 x) x)))
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(*.f32 #s(literal 2 binary32) x)
(*.f32 x #s(literal 2 binary32))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 x x) #s(literal 0 binary32)) (/.f32 (.f32 x x) #s(literal 0 binary32))) (.f32 (/.f32 (.f32 x x) #s(literal 0 binary32)) (/.f32 (.f32 x x) #s(literal 0 binary32)))) (+.f32 (/.f32 (.f32 x x) #s(literal 0 binary32)) (/.f32 (.f32 x x) #s(literal 0 binary32))))
(/.f32 (-.f32 (pow.f32 (/.f32 (.f32 x x) #s(literal 0 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 (.f32 x x) #s(literal 0 binary32)) #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 x x) #s(literal 0 binary32)) (/.f32 (.f32 x x) #s(literal 0 binary32)) (fma.f32 (/.f32 (.f32 x x) #s(literal 0 binary32)) (/.f32 (.f32 x x) #s(literal 0 binary32)) (.f32 (/.f32 (.f32 x x) #s(literal 0 binary32)) (/.f32 (*.f32 x x) #s(literal 0 binary32))))))
(/.f32 (-.f32 (.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 0 binary32))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 0 binary32)))) (.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 0 binary32))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 0 binary32))))) (-.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 0 binary32))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 0 binary32)))))
(/.f32 (+.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 0 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 0 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 0 binary32))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 0 binary32))) (-.f32 (.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 0 binary32))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 0 binary32)))) (.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 0 binary32))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 0 binary32)))))))
(/.f32 (neg.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 x x #s(literal 0 binary32)))))
(/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 0 binary32)) (.f32 #s(literal 0 binary32) (.f32 x x))) #s(literal 0 binary32))
(/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 0 binary32)) (.f32 (fma.f32 x x #s(literal 0 binary32)) (pow.f32 x #s(literal 3 binary32)))) (.f32 (fma.f32 x x #s(literal 0 binary32)) (fma.f32 x x #s(literal 0 binary32))))
(/.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 x x #s(literal 0 binary32))))
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
(/.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 x x #s(literal 0 binary32)))
(-.f32 (/.f32 (.f32 x x) #s(literal 0 binary32)) (/.f32 (.f32 x x) #s(literal 0 binary32)))
(fma.f32 (pow.f32 x #s(literal 1/2 binary32)) (pow.f32 x #s(literal 1/2 binary32)) x)
(fma.f32 (sqrt.f32 (neg.f32 (neg.f32 x))) (sqrt.f32 (neg.f32 (neg.f32 x))) x)
(fma.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (*.f32 (neg.f32 x) #s(literal 1 binary32))) x)
(fma.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)) x)
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) x)
(fma.f32 #s(literal 1 binary32) x x)
(fma.f32 x #s(literal 1 binary32) x)
(+.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 0 binary32))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 0 binary32))))
(+.f32 (neg.f32 x) (neg.f32 x))
(+.f32 x x)
(sqrt.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))))
(/.f32 (neg.f32 (neg.f32 (/.f32 #s(literal 1/4 binary32) x))) (neg.f32 (neg.f32 x)))
(/.f32 (fabs.f32 (neg.f32 (/.f32 #s(literal 1/4 binary32) x))) x)
(/.f32 (fabs.f32 (/.f32 #s(literal 1/4 binary32) x)) x)
(/.f32 (fabs.f32 (/.f32 #s(literal -1/4 binary32) x)) x)
(/.f32 (neg.f32 (/.f32 #s(literal 1/4 binary32) x)) (neg.f32 x))
(/.f32 (neg.f32 (/.f32 #s(literal -1/4 binary32) x)) (neg.f32 (neg.f32 x)))
(/.f32 (/.f32 #s(literal 1/4 binary32) x) x)
(/.f32 (/.f32 #s(literal -1/4 binary32) x) (neg.f32 x))
(/.f32 #s(literal -1/4 binary32) (*.f32 (neg.f32 x) x))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
(fabs.f32 (/.f32 (/.f32 #s(literal -1/4 binary32) x) x))
(fabs.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(neg.f32 (/.f32 (/.f32 #s(literal -1/4 binary32) x) x))

eval32.0ms (0.7%)

Memory: -42.3MiB live, 58.9MiB allocated
Compiler: Compiled 8 879 to 1 067 computations (88% saved)

prune5.0ms (0.1%)

Memory

19.8MiB live, 19.8MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	228	2	230
Fresh	0	0	0
Picked	1	2	3
Done	0	2	2
Total	229	6	235

Accuracy

100.0%

Counts

235 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.0%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	97.6%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x)))
✓	99.3%	(acosh.f32 x)
▶	98.6%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (+.f32 x x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
▶	5.4%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))
✓	5.4%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))

Compiler

Compiled 98 to 70 computations (28.6% saved)

simplify296.0ms (6.3%)

Memory

-22.4MiB live, 182.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f32 x x)
cost-diff	0	(log.f32 (+.f32 x x))
cost-diff	0	(-.f32 (log.f32 (+.f32 x x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
cost-diff	0	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (+.f32 x x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
cost-diff	0	(/.f32 #s(literal -1/4 binary32) x)
cost-diff	0	(/.f32 (/.f32 #s(literal -1/4 binary32) x) x)
cost-diff	0	#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x))
cost-diff	0	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	101
0	32	101
1	50	101
2	86	101
3	142	101
4	226	101
5	325	101
6	543	101
7	833	101
8	1217	101
9	1940	101
10	5450	101
11	6685	101
12	7502	101
0	8118	99

Stop Event

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

Calls

Call 1

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

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

localize61.0ms (1.3%)

Memory

21.1MiB live, 68.3MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(-.f32 (log.f32 (+.f32 x x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
accuracy	0.20542408158072728	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (+.f32 x x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
accuracy	0.2337976275752987	(log.f32 (+.f32 x x))
accuracy	0.8396874354129115	(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
accuracy	0.0	(/.f32 #s(literal -1/4 binary32) x)
accuracy	0.140625	(/.f32 (/.f32 #s(literal -1/4 binary32) x) x)
accuracy	0.20542408158072728	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))
accuracy	30.280080546288797	#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x))

Samples

51.0ms

256×

valid

Compiler

Compiled 68 to 22 computations (67.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-log: 9.0ms (35.6% of total)

ival-div: 5.0ms (19.8% of total)

ival-add: 3.0ms (11.9% of total)

ival-sub: 3.0ms (11.9% of total)

ival-mult: 2.0ms (7.9% of total)

ival-sqrt: 2.0ms (7.9% of total)

exact: 1.0ms (4% of total)

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

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

series40.0ms (0.9%)

Memory

-33.3MiB live, 66.8MiB allocated

Counts

9 → 22

Calls

Call 1

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

Calls

3 calls:

Time

Variable

Point

Expression

17.0ms

-inf

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

11.0ms

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

11.0ms

inf

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

simplify194.0ms (4.1%)

Memory

44.0MiB live, 225.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	280
1	249	266
2	822	257
3	3196	252
0	8370	247

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 22

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

rewrite165.0ms (3.5%)

Memory

9.3MiB live, 240.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	94
0	32	78
1	129	78
2	1017	78
0	8334	78

Stop Event

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

Counts

9 → 147

Calls

Call 1

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

Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x))
(/.f32 (/.f32 #s(literal 1/4 binary32) x) (neg.f32 (neg.f32 (neg.f32 x))))
(/.f32 (/.f32 #s(literal 1/4 binary32) x) (neg.f32 x))
(/.f32 (/.f32 #s(literal -1/4 binary32) x) (neg.f32 (neg.f32 x)))
(/.f32 (/.f32 #s(literal -1/4 binary32) x) x)
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 #s(literal 1/4 binary32) (*.f32 (neg.f32 x) x))
(neg.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(/.f32 #s(literal -1/4 binary32) (neg.f32 (neg.f32 x)))
(/.f32 #s(literal -1/4 binary32) x)
(/.f32 #s(literal 1/4 binary32) (neg.f32 (neg.f32 (neg.f32 x))))
(/.f32 #s(literal 1/4 binary32) (neg.f32 x))
(neg.f32 (/.f32 #s(literal 1/4 binary32) x))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))
(/.f32 (-.f32 (.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x)))) (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))))) (.f32 (/.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x)))) (/.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x)))))) (+.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x)))) (/.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (*.f32 #s(literal 2 binary32) x))))))
(/.f32 (-.f32 (.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32))))) (.f32 (/.f32 (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 6 binary32))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)))) (/.f32 (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 6 binary32))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)))))) (+.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)))) (/.f32 (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 6 binary32))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32))))))
(/.f32 (-.f32 (pow.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 2 binary32)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) (-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (log.f32 x)))
(/.f32 (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (.f32 (-.f32 (log.f32 x) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (-.f32 (log.f32 x) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))) (-.f32 (log.f32 #s(literal 2 binary32)) (-.f32 (log.f32 x) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x)))) (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x)))) (fma.f32 (/.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x)))) (/.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x)))) (.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x)))) (/.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (*.f32 #s(literal 2 binary32) x))))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 6 binary32))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)))) (fma.f32 (/.f32 (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 6 binary32))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)))) (/.f32 (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 6 binary32))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)))) (.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)))) (/.f32 (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 6 binary32))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32))))))))
(/.f32 (+.f32 (pow.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (+.f32 (pow.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 2 binary32)) (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (log.f32 x)))))
(/.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (-.f32 (log.f32 x) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 3 binary32))) (fma.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 #s(literal 1/2 binary32)) (-.f32 (.f32 (-.f32 (log.f32 x) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (-.f32 (log.f32 x) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))) (.f32 (log.f32 #s(literal 2 binary32)) (-.f32 (log.f32 x) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (pow.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 2 binary32)))) (neg.f32 (-.f32 (log.f32 x) (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) (pow.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (log.f32 x) (log.f32 x) (-.f32 (pow.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 2 binary32)) (.f32 (log.f32 x) (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32)))))) (neg.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (*.f32 #s(literal 2 binary32) x))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32)) (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 6 binary32)))))) (neg.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32))))))
(/.f32 (neg.f32 (-.f32 (.f32 (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) x) (.f32 (log.f32 (/.f32 x #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) x)))) (neg.f32 (*.f32 (log.f32 (/.f32 x #s(literal 2 binary32))) x)))
(/.f32 (neg.f32 (-.f32 (.f32 (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (.f32 (neg.f32 x) x)) (.f32 (log.f32 (/.f32 x #s(literal 2 binary32))) #s(literal -1/4 binary32)))) (neg.f32 (.f32 (log.f32 (/.f32 x #s(literal 2 binary32))) (*.f32 (neg.f32 x) x))))
(/.f32 (neg.f32 (-.f32 (.f32 (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (.f32 x x)) (.f32 (log.f32 (/.f32 x #s(literal 2 binary32))) #s(literal 1/4 binary32)))) (neg.f32 (.f32 (log.f32 (/.f32 x #s(literal 2 binary32))) (*.f32 x x))))
(/.f32 (neg.f32 (-.f32 (.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) x) (.f32 (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) x)))) (neg.f32 (*.f32 (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) x)))
(/.f32 (neg.f32 (-.f32 (.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (.f32 (neg.f32 x) x)) (.f32 (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) #s(literal -1/4 binary32)))) (neg.f32 (.f32 (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) (*.f32 (neg.f32 x) x))))
(/.f32 (neg.f32 (-.f32 (.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (.f32 x x)) (.f32 (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) #s(literal 1/4 binary32)))) (neg.f32 (.f32 (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) (*.f32 x x))))
(/.f32 (-.f32 (.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x)))) (.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))))) (.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x)))))
(/.f32 (-.f32 (.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)))) (.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32))) (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 6 binary32))))) (.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)))))
(/.f32 (-.f32 (.f32 (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) x) (.f32 (log.f32 (/.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) x))) (*.f32 (log.f32 (/.f32 #s(literal 2 binary32) x)) x))
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(/.f32 (-.f32 (.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (/.f32 x #s(literal 2 binary32)))) (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (/.f32 x #s(literal 2 binary32))))) (.f32 (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (/.f32 x #s(literal 2 binary32)))) (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (/.f32 x #s(literal 2 binary32)))))) (+.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (/.f32 x #s(literal 2 binary32)))) (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (/.f32 x #s(literal 2 binary32))))))
(/.f32 (-.f32 (.f32 (log.f32 #s(literal 0 binary32)) (log.f32 #s(literal 0 binary32))) (.f32 (log.f32 #s(literal 0 binary32)) (log.f32 #s(literal 0 binary32)))) (+.f32 (log.f32 #s(literal 0 binary32)) (log.f32 #s(literal 0 binary32))))
(/.f32 (-.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))))) (.f32 (log.f32 (fma.f32 x x #s(literal 0 binary32))) (log.f32 (fma.f32 x x #s(literal 0 binary32))))) (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 x x #s(literal 0 binary32)))))
(/.f32 (-.f32 (.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))) (/.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32))))) (.f32 (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))) (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))))) (-.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))) (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (/.f32 x #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (/.f32 x #s(literal 2 binary32)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (/.f32 x #s(literal 2 binary32)))) (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (/.f32 x #s(literal 2 binary32)))) (fma.f32 (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (/.f32 x #s(literal 2 binary32)))) (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (/.f32 x #s(literal 2 binary32)))) (*.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (/.f32 x #s(literal 2 binary32)))) (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (/.f32 x #s(literal 2 binary32))))))))
(/.f32 (-.f32 (pow.f32 (log.f32 #s(literal 0 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 #s(literal 0 binary32)) #s(literal 3 binary32))) (fma.f32 (log.f32 #s(literal 0 binary32)) (log.f32 #s(literal 0 binary32)) (fma.f32 (log.f32 #s(literal 0 binary32)) (log.f32 #s(literal 0 binary32)) (*.f32 (log.f32 #s(literal 0 binary32)) (log.f32 #s(literal 0 binary32))))))
(/.f32 (-.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 3 binary32)) (pow.f32 (log.f32 (fma.f32 x x #s(literal 0 binary32))) #s(literal 3 binary32))) (fma.f32 (log.f32 (.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 (log.f32 (fma.f32 x x #s(literal 0 binary32))) (log.f32 (fma.f32 x x #s(literal 0 binary32))) (.f32 (log.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 x x #s(literal 0 binary32)))))))
(/.f32 (+.f32 (pow.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))) (/.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))) (-.f32 (.f32 (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))) (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32))))) (.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))) (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32))))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))) (neg.f32 (log.f32 (/.f32 #s(literal 2 binary32) x))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32))))) (neg.f32 (neg.f32 (log.f32 (/.f32 x #s(literal 2 binary32))))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32))))))
(/.f32 (-.f32 (.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (/.f32 x #s(literal 2 binary32)))) (.f32 (log.f32 (/.f32 x #s(literal 2 binary32))) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))) (pow.f32 (log.f32 (/.f32 x #s(literal 2 binary32))) #s(literal 2 binary32)))
(/.f32 (fma.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) (*.f32 (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)))) (pow.f32 (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) #s(literal 2 binary32)))
(/.f32 (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) (log.f32 (/.f32 #s(literal 2 binary32) x)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))) (neg.f32 (log.f32 (/.f32 x #s(literal 2 binary32)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 #s(literal 1/2 binary32)) (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (pow.f32 x (log.f32 #s(literal 2 binary32))))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (log.f32 (/.f32 x #s(literal 2 binary32))))
(/.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (fma.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 #s(literal 1/2 binary32)) (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (pow.f32 x (log.f32 #s(literal 2 binary32)))))))
(/.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x))) (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x))))
(-.f32 (log.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))))) (log.f32 (neg.f32 (fma.f32 x x #s(literal 0 binary32)))))
(-.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (/.f32 x #s(literal 2 binary32)))) (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (/.f32 x #s(literal 2 binary32)))))
(-.f32 (log.f32 #s(literal 0 binary32)) (log.f32 #s(literal 0 binary32)))
(-.f32 (log.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 x x #s(literal 0 binary32))))
(+.f32 (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (fma.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 #s(literal 1/2 binary32)) (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (pow.f32 x (log.f32 #s(literal 2 binary32))))))) (/.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) (fma.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 #s(literal 1/2 binary32)) (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (pow.f32 x (log.f32 #s(literal 2 binary32))))))))
(+.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) (fma.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 #s(literal 1/2 binary32)) (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (pow.f32 x (log.f32 #s(literal 2 binary32))))))) (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (fma.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 #s(literal 1/2 binary32)) (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (pow.f32 x (log.f32 #s(literal 2 binary32))))))))
(+.f32 (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))) (/.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))))
(+.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))) (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))))
(+.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (/.f32 x #s(literal 2 binary32)))) (/.f32 (log.f32 (pow.f32 #s(literal 2 binary32) (log.f32 #s(literal 1/2 binary32)))) (log.f32 (/.f32 x #s(literal 2 binary32)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) x)
(*.f32 x #s(literal 2 binary32))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 x x) #s(literal 0 binary32)) (/.f32 (.f32 x x) #s(literal 0 binary32))) (.f32 (/.f32 (.f32 x x) #s(literal 0 binary32)) (/.f32 (.f32 x x) #s(literal 0 binary32)))) (+.f32 (/.f32 (.f32 x x) #s(literal 0 binary32)) (/.f32 (.f32 x x) #s(literal 0 binary32))))
(/.f32 (-.f32 (pow.f32 (/.f32 (.f32 x x) #s(literal 0 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 (.f32 x x) #s(literal 0 binary32)) #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 x x) #s(literal 0 binary32)) (/.f32 (.f32 x x) #s(literal 0 binary32)) (fma.f32 (/.f32 (.f32 x x) #s(literal 0 binary32)) (/.f32 (.f32 x x) #s(literal 0 binary32)) (.f32 (/.f32 (.f32 x x) #s(literal 0 binary32)) (/.f32 (*.f32 x x) #s(literal 0 binary32))))))
(/.f32 (-.f32 (.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 0 binary32))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 0 binary32)))) (.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 0 binary32))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 0 binary32))))) (-.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 0 binary32))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 0 binary32)))))
(/.f32 (+.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 0 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 0 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 0 binary32))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 0 binary32))) (-.f32 (.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 0 binary32))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 0 binary32)))) (.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 0 binary32))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 0 binary32)))))))
(/.f32 (neg.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 x x #s(literal 0 binary32)))))
(/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 0 binary32)) (.f32 #s(literal 0 binary32) (.f32 x x))) #s(literal 0 binary32))
(/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 0 binary32)) (.f32 (fma.f32 x x #s(literal 0 binary32)) (pow.f32 x #s(literal 3 binary32)))) (.f32 (fma.f32 x x #s(literal 0 binary32)) (fma.f32 x x #s(literal 0 binary32))))
(/.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 x x #s(literal 0 binary32))))
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
(/.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 x x #s(literal 0 binary32)))
(-.f32 (/.f32 (.f32 x x) #s(literal 0 binary32)) (/.f32 (.f32 x x) #s(literal 0 binary32)))
(fma.f32 (pow.f32 x #s(literal 1/2 binary32)) (pow.f32 x #s(literal 1/2 binary32)) x)
(fma.f32 (sqrt.f32 (neg.f32 (neg.f32 x))) (sqrt.f32 (neg.f32 (neg.f32 x))) x)
(fma.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (*.f32 (neg.f32 x) #s(literal 1 binary32))) x)
(fma.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)) x)
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) x)
(fma.f32 #s(literal 1 binary32) x x)
(fma.f32 x #s(literal 1 binary32) x)
(+.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 0 binary32))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 0 binary32))))
(+.f32 (neg.f32 x) (neg.f32 x))
(+.f32 x x)
(sqrt.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))))
(/.f32 (fabs.f32 (/.f32 #s(literal 1/4 binary32) x)) x)
(/.f32 (fabs.f32 (/.f32 #s(literal -1/4 binary32) x)) x)
(/.f32 (/.f32 #s(literal 1/4 binary32) x) (neg.f32 (neg.f32 x)))
(/.f32 (/.f32 #s(literal 1/4 binary32) x) x)
(/.f32 (/.f32 #s(literal -1/4 binary32) x) (neg.f32 x))
(/.f32 #s(literal -1/4 binary32) (*.f32 (neg.f32 x) x))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
(fabs.f32 (/.f32 (/.f32 #s(literal -1/4 binary32) x) x))
(fabs.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(neg.f32 (/.f32 (/.f32 #s(literal -1/4 binary32) x) x))

eval20.0ms (0.4%)

Memory: -1.6MiB live, 42.4MiB allocated
Compiler: Compiled 7 239 to 829 computations (88.5% saved)

prune5.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	169	6	175

Accuracy

100.0%

Counts

175 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.0%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	97.6%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x)))
✓	99.3%	(acosh.f32 x)
✓	98.6%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (+.f32 x x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
✓	5.4%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))
✓	5.4%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))

Compiler

Compiled 250 to 119 computations (52.4% saved)

regimes12.0ms (0.2%)

Memory

-25.0MiB live, 20.3MiB allocated

Counts

9 → 1

Calls

Call 1

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

Outputs
(acosh.f32 x)

Calls

3 calls:

6.0ms	x
3.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
3.0ms	(+.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)

regimes4.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
5.4%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`
5.4%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
5.4%	1	`x`

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify141.0ms (3%)

Memory

-23.2MiB live, 79.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	29
1	36	29
2	68	29
3	123	29
4	203	29
5	317	29
6	549	29
7	875	29
8	1300	29
9	2084	29
10	3702	29
11	4968	29
12	5754	29
13	6724	29

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness327.0ms (7%)

Memory

34.3MiB live, 270.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	525
1	470	499
2	1636	485
3	6830	485
0	8396	464
0	7	28
0	12	15
1	53	15
2	369	13
0	4556	12
0	138	407
1	421	388
2	1429	376
3	6038	376
0	8060	366

Stop Event

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

Compiler

Compiled 51 to 38 computations (25.5% saved)

preprocess40.0ms (0.9%)

Memory: -9.4MiB live, 34.3MiB allocated
Compiler: Compiled 100 to 72 computations (28% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample563.0ms (12%)

explain170.0ms (3.6%)

preprocess271.0ms (5.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify152.0ms (3.2%)

localize20.0ms (0.4%)

series5.0ms (0.1%)

simplify167.0ms (3.6%)

rewrite167.0ms (3.6%)

eval38.0ms (0.8%)

prune102.0ms (2.2%)

simplify163.0ms (3.5%)

localize46.0ms (1%)

series120.0ms (2.6%)

simplify242.0ms (5.2%)

rewrite217.0ms (4.7%)

eval70.0ms (1.5%)

prune3.0ms (0.1%)

simplify180.0ms (3.8%)

localize69.0ms (1.5%)

series190.0ms (4.1%)

simplify192.0ms (4.1%)

rewrite180.0ms (3.9%)

eval32.0ms (0.7%)

prune5.0ms (0.1%)

simplify296.0ms (6.3%)

localize61.0ms (1.3%)

series40.0ms (0.9%)

simplify194.0ms (4.1%)

rewrite165.0ms (3.5%)

eval20.0ms (0.4%)

prune5.0ms (0.1%)

regimes12.0ms (0.2%)

regimes4.0ms (0.1%)

simplify141.0ms (3%)

soundness327.0ms (7%)

preprocess40.0ms (0.9%)

end0.0ms (0%)

Profiling