Metrics for Rust f32::acosh

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample638.0ms (15.3%)

Memory

27.1MiB live, 737.3MiB allocated

Samples

430.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 183.0ms

ival-acosh: 105.0ms (57.3% of total)

ival->=: 67.0ms (36.5% of total)

exact: 6.0ms (3.3% of total)

ival-assert: 4.0ms (2.2% of total)

adjust: 2.0ms (1.1% of total)

Bogosity

explain143.0ms (3.4%)

Memory

-17.3MiB live, 172.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
144	-	-	`(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	144	0
↳	`(*.f32 x x)`	overflow	144
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	144
`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	144
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	144

Confusion

	Predicted +	Predicted -
+	144	0
-	0	112

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	112
1	142
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

34.0ms

512×

valid

Compiler

Compiled 79 to 25 computations (68.4% saved)

Precisions

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

ival-sqrt: 8.0ms (35.2% of total)

ival-log: 5.0ms (22% of total)

ival-mult: 4.0ms (17.6% of total)

ival-sub: 3.0ms (13.2% of total)

ival-add: 2.0ms (8.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

preprocess161.0ms (3.9%)

Memory

-15.8MiB live, 170.5MiB 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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.4%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify224.0ms (5.4%)

Memory

12.6MiB live, 204.2MiB 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)

localize23.0ms (0.6%)

Memory

25.5MiB live, 71.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(-.f32 (*.f32 x x) #s(literal 1 binary32))
accuracy	0.0234375	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
accuracy	0.24160998329435446	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
accuracy	15.548552032705032	(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))

Samples

17.0ms

256×

valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 4.0ms (34.1% of total)

ival-log: 3.0ms (25.6% of total)

ival-sqrt: 2.0ms (17.1% of total)

ival-add: 1.0ms (8.5% of total)

ival-sub: 1.0ms (8.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB 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)))

simplify197.0ms (4.7%)

Memory

-39.9MiB live, 150.4MiB 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))

rewrite175.0ms (4.2%)

Memory

15.4MiB live, 244.7MiB 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))
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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))

eval56.0ms (1.3%)

Memory: 3.7MiB live, 108.7MiB allocated
Compiler: Compiled 5 950 to 1 278 computations (78.5% saved)

prune4.0ms (0.1%)

Memory

18.4MiB live, 18.4MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	264	3	267
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	265	3	268

Accuracy

100.0%

Counts

268 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(log.f32 (fma.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) x))
▶	96.8%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
▶	99.3%	(acosh.f32 x)

Status

Accuracy

Program

▶

99.3%

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

▶

96.8%

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

▶

99.3%

(acosh.f32 x)

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify161.0ms (3.9%)

Memory

-29.5MiB live, 170.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	70
0	27	70
1	42	70
2	71	70
3	119	70
4	197	70
5	294	70
6	514	70
7	800	70
8	1176	70
9	1937	70
10	5724	70
11	7048	70
12	7901	70
0	8091	68

Stop Event

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

Calls

Call 1

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

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

localize98.0ms (2.4%)

Memory

-7.9MiB live, 83.9MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(sqrt.f32 (-.f32 x #s(literal 1 binary32)))
accuracy	0.00390625	(sqrt.f32 (+.f32 #s(literal 1 binary32) x))
accuracy	0.0625	(fma.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) x)
accuracy	0.24160998329435446	(log.f32 (fma.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) x))
accuracy	0.0	(*.f32 #s(literal 2 binary32) x)
accuracy	0.24160998329435446	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
accuracy	0.976022700703208	#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))
accuracy	0.2265625	(acosh.f32 x)

Samples

85.0ms

256×

valid

Compiler

Compiled 66 to 19 computations (71.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 4.0ms (17.8% of total)

ival-log: 4.0ms (17.8% of total)

ival-sqrt: 4.0ms (17.8% of total)

ival-add: 3.0ms (13.4% of total)

ival-acosh: 3.0ms (13.4% of total)

ival-sub: 2.0ms (8.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory

22.0MiB live, 22.0MiB allocated

Counts

9 → 58

Calls

Call 1

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

Outputs
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(* 2 x)
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
-1
(- x 1)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(+ (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)))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))
x
(* x (- 1 (/ 1 x)))
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))))
(* -1 (* x (- (pow (sqrt -1) 2) 1)))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1)))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))))
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) (log (+ (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) (+ (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (sqrt (- x 1)) (- x 1) (sqrt (+ 1 x)))
2.0ms	x	@	inf	((acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) (log (+ (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) (+ (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (sqrt (- x 1)) (- x 1) (sqrt (+ 1 x)))
1.0ms	x	@	0	((acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) (log (+ (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) (+ (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (sqrt (- x 1)) (- x 1) (sqrt (+ 1 x)))

Time

Variable

Point

Expression

5.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

simplify168.0ms (4%)

Memory

17.4MiB live, 206.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	294	1018
1	912	844
2	3601	838
0	8923	798

Stop Event

1×	iter limit
1×	node limit

Counts

58 → 57

Calls

Call 1

Inputs
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(* 2 x)
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
-1
(- x 1)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(+ (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)))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))
x
(* x (- 1 (/ 1 x)))
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))))
(* -1 (* x (- (pow (sqrt -1) 2) 1)))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1)))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))))
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))

Outputs
(log (sqrt -1))
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(fma.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32))) x (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (/.f32 (.f32 #s(literal 3/40 binary32) (.f32 x x)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal -1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ x (sqrt -1))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) x)
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(fma.f32 (fma.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 #s(literal -1/8 binary32) x) x) #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 (fma.f32 (-.f32 (*.f32 (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) #s(literal 1/16 binary32)) (/.f32 #s(literal -1/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (sqrt.f32 #s(literal -1 binary32)))
-1
#s(literal -1 binary32)
(- x 1)
(-.f32 x #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* 1/2 x))
(fma.f32 #s(literal 1/2 binary32) x #s(literal 1 binary32))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(fma.f32 (fma.f32 #s(literal -1/8 binary32) x #s(literal 1/2 binary32)) x #s(literal 1 binary32))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) x) #s(literal 1/8 binary32)) x #s(literal 1/2 binary32)) x #s(literal 1 binary32))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) x) x))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) x)
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(.f32 (+.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) 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)
(sqrt x)
(sqrt.f32 x)
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) #s(literal -1/16 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))) x)
x
(* x (- 1 (/ 1 x)))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) #s(literal 1/16 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) 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 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) #s(literal 1/2 binary32)) (neg.f32 x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 5/128 binary32) (.f32 x x)) #s(literal -1 binary32) #s(literal -1/16 binary32)) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x x)) #s(literal 1/2 binary32))) (neg.f32 x))
(+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(-.f32 (log.f32 #s(literal -2 binary32)) (-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+.f32 (-.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (/.f32 #s(literal -3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -2 binary32)))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))))
(-.f32 (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal -45/2 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) #s(literal 15 binary32)) (pow.f32 x #s(literal 6 binary32))) #s(literal 1/720 binary32) (+.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (/.f32 #s(literal -3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 #s(literal -2 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(* -1 (* x (- (pow (sqrt -1) 2) 1)))
(*.f32 #s(literal 2 binary32) x)
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1)))
(.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) x)
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))))
(.f32 (+.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x)
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))))
(.f32 (neg.f32 x) (-.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) (pow.f32 x #s(literal 6 binary32))) (-.f32 (/.f32 #s(literal -1/2 binary32) (.f32 x x)) #s(literal -2 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f32 x)
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))) x)
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) x)
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) #s(literal 1/16 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))) x)
(* -1 (* x (- (/ 1 x) 1)))
(*.f32 (neg.f32 x) (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))) x)
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) x)
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(*.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) (neg.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32)))) #s(literal 1/16 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))) x)

rewrite277.0ms (6.6%)

Memory

-14.7MiB live, 222.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	62
0	27	47
1	101	42
2	763	36
0	9263	36

Stop Event

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

Counts

9 → 285

Calls

Call 1

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

Outputs
(acosh.f32 x)
(log.f32 (exp.f32 (acosh.f32 x)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (acosh.f32 x)) (neg.f32 (acosh.f32 x)))) (+.f32 #s(literal 0 binary32) (neg.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 (.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 (+.f32 (/.f32 x (exp.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))) (log.f32 (+.f32 (/.f32 x (exp.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))))) (+.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 (/.f32 x (exp.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32))))))
(/.f32 (-.f32 (.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (.f32 x x))) (log.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (.f32 x x)))) (.f32 (log.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x)) (log.f32 (-.f32 (sinh.f32 (acosh.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 (-.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 (acosh.f32 x)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 (neg.f32 (acosh.f32 x)) (neg.f32 (acosh.f32 x)) (*.f32 #s(literal 0 binary32) (neg.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 (-.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 (+.f32 (/.f32 x (exp.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))) #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 (+.f32 (/.f32 x (exp.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))) (log.f32 (+.f32 (/.f32 x (exp.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))) (*.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 (/.f32 x (exp.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32))))))))
(/.f32 (-.f32 (pow.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (.f32 x x))) #s(literal 3 binary32)) (pow.f32 (log.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x)) #s(literal 3 binary32))) (fma.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (.f32 x x))) (log.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (.f32 x x))) (fma.f32 (log.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x)) (log.f32 (-.f32 (sinh.f32 (acosh.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 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) (exp.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 (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 (+.f32 (/.f32 x (exp.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32))))))
(-.f32 (log.f32 (+.f32 (fma.f32 (neg.f32 x) x #s(literal 1 binary32)) (*.f32 x x))) (log.f32 (neg.f32 (-.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))))
(-.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 (/.f32 x (exp.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))))
(-.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 #s(literal 0 binary32) (neg.f32 (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 (.f32 #s(literal 2 binary32) x) #s(literal 1 binary32))
(*.f32 #s(literal 2 binary32) x)
(.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) x))
(*.f32 x #s(literal 2 binary32))
(/.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 x x #s(literal 0 binary32))))
(/.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 x x #s(literal 0 binary32)))
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
(-.f32 (/.f32 (.f32 x x) #s(literal 0 binary32)) (/.f32 (.f32 x x) #s(literal 0 binary32)))
(-.f32 x (neg.f32 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 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 x x)
(acosh.f32 x)
(log.f32 (exp.f32 (acosh.f32 x)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (acosh.f32 x)) (neg.f32 (acosh.f32 x)))) (+.f32 #s(literal 0 binary32) (neg.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)))))
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(/.f32 (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sinh.f32 (acosh.f32 (pow.f32 x #s(literal 3/2 binary32))))) (hypot.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) x)) x))
(/.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)))) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))))
(/.f32 (*.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 x) x #s(literal 1 binary32))) (fma.f32 #s(literal -1 binary32) x #s(literal -1 binary32)))
(/.f32 (.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))
(/.f32 (.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) x)))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) 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) x))
(/.f32 (-.f32 (.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) x))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 x x) (-.f32 #s(literal 1 binary32) x)) (/.f32 (.f32 x x) (-.f32 #s(literal 1 binary32) x))) (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)))) (+.f32 (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x))))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))) (*.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (.f32 x x) (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 x x) (-.f32 #s(literal 1 binary32) x)) (/.f32 (.f32 x x) (-.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)) (.f32 (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))))
(/.f32 (-.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1 binary32))) (-.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 x x)))
(/.f32 (-.f32 (.f32 x (fma.f32 x x x)) (-.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) (.f32 x x)))
(/.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) x)))
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))))
(/.f32 (fma.f32 (neg.f32 x) x #s(literal 1 binary32)) (fma.f32 #s(literal -1 binary32) x #s(literal -1 binary32)))
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (neg.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x))))
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (neg.f32 (*.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) x))))
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))
(/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) 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)) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) x)))
(/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) x))
(-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x))))
(-.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 1 binary32) (.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) x))))
(-.f32 (/.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x)) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x)))
(-.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 #s(literal 1 binary32) x)) (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x)))
(-.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))))
(-.f32 (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)))
(-.f32 (neg.f32 x) #s(literal 1 binary32))
(-.f32 x #s(literal 1 binary32))
(fma.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) x)) (/.f32 (neg.f32 x) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) x)))
(fma.f32 (/.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 x x))) (-.f32 #s(literal 1 binary32) x)) (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (/.f32 (.f32 (-.f32 x #s(literal 1 binary32)) x) (-.f32 #s(literal 1 binary32) x)))
(fma.f32 (/.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x)) (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (/.f32 (fma.f32 x x x) (-.f32 #s(literal 1 binary32) x)))
(fma.f32 (/.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (-.f32 #s(literal 1 binary32) x)) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) x) (-.f32 #s(literal 1 binary32) x)))
(fma.f32 (/.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (-.f32 #s(literal 1 binary32) x)) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 (fma.f32 x x x) (-.f32 #s(literal 1 binary32) x)))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x)) (/.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) (/.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) x) (-.f32 #s(literal 1 binary32) x)))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x)) (/.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) (/.f32 (fma.f32 x x x) (-.f32 #s(literal 1 binary32) x)))
(fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (/.f32 x #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) x)))
(fma.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 x x x) (*.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1 binary32)))
(fma.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 x x x)))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)) (/.f32 (*.f32 x x) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) x)))
(fma.f32 (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) x)))
(fma.f32 (fma.f32 x x x) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(fma.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (*.f32 (fma.f32 x x x) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(pow.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) #s(literal 1/2 binary32))
(pow.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) #s(literal 2 binary32))
(pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1 binary32))
(+.f32 (.f32 (fma.f32 x x x) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(+.f32 (.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (.f32 (fma.f32 x x x) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(+.f32 (.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 x x x)) (.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1 binary32)))
(+.f32 (.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1 binary32)) (.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 x x x)))
(+.f32 (/.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) x) (-.f32 #s(literal 1 binary32) x)) (/.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))
(+.f32 (/.f32 (fma.f32 x x x) (-.f32 #s(literal 1 binary32) x)) (/.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))
(+.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)) (/.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) x) (-.f32 #s(literal 1 binary32) x)))
(+.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)) (/.f32 (fma.f32 x x x) (-.f32 #s(literal 1 binary32) x)))
(+.f32 (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) x)))
(exp.f32 (fma.f32 (log.f32 (-.f32 x #s(literal 1 binary32))) #s(literal 1/2 binary32) (*.f32 (log.f32 (-.f32 x #s(literal 1 binary32))) #s(literal 1/2 binary32))))
(exp.f32 (.f32 (.f32 (log.f32 (-.f32 x #s(literal 1 binary32))) #s(literal 1/2 binary32)) #s(literal 2 binary32)))
(neg.f32 (/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))))
(neg.f32 (/.f32 (fma.f32 (neg.f32 x) x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))
(neg.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))))
(neg.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 #s(literal -1 binary32) x #s(literal -1 binary32))))
(*.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32))) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32))))
(*.f32 (fabs.f32 (pow.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32))) (fabs.f32 (pow.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32))))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) x)) (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))
(sqrt.f32 (-.f32 #s(literal 1 binary32) x))
(/.f32 (neg.f32 (cosh.f32 (asinh.f32 (pow.f32 x #s(literal 3/2 binary32))))) (neg.f32 (hypot.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) x)) x)))
(/.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (*.f32 x x))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) x #s(literal -1 binary32))))
(/.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))))
(/.f32 (fma.f32 #s(literal -1 binary32) x #s(literal -1 binary32)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) x))))
(/.f32 (cosh.f32 (asinh.f32 (pow.f32 x #s(literal 3/2 binary32)))) (hypot.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) x)) x))
(/.f32 (-.f32 #s(literal 1 binary32) x) (sqrt.f32 (-.f32 #s(literal 1 binary32) x)))
(/.f32 (sinh.f32 (acosh.f32 x)) (sqrt.f32 (-.f32 x #s(literal 1 binary32))))
(pow.f32 (exp.f32 (log1p.f32 x)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1/4 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32))
(+.f32 (cosh.f32 (.f32 (log1p.f32 x) #s(literal 1/2 binary32))) (sinh.f32 (.f32 (log1p.f32 x) #s(literal 1/2 binary32))))
(exp.f32 (*.f32 (log1p.f32 x) #s(literal 1/2 binary32)))

eval50.0ms (1.2%)

Memory: 7.8MiB live, 50.5MiB allocated
Compiler: Compiled 7 914 to 1 461 computations (81.5% saved)

prune5.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	321	2	323
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	322	4	326

Accuracy

100.0%

Counts

326 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.4%	(log.f32 (fma.f32 (pow.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) #s(literal 1/4 binary32)) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) x))
✓	99.3%	(log.f32 (fma.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) x))
▶	96.8%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x)))
✓	99.3%	(acosh.f32 x)

Compiler

Compiled 42 to 29 computations (31% saved)

simplify175.0ms (4.2%)

Memory

-48.8MiB live, 200.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	89
0	27	89
1	45	89
2	91	89
3	159	89
4	262	89
5	389	89
6	724	89
7	1294	89
8	1666	89
9	2420	89
10	6402	89
11	7184	89
0	8012	83

Stop Event

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

Calls

Call 1

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

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

localize59.0ms (1.4%)

Memory

37.4MiB live, 84.6MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.015625	(*.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32)))
accuracy	0.0625	(fma.f32 (pow.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) #s(literal 1/4 binary32)) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) x)
accuracy	0.24160998329435446	(log.f32 (fma.f32 (pow.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) #s(literal 1/4 binary32)) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) x))
accuracy	16.523953191958032	(pow.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) #s(literal 1/4 binary32))
accuracy	0.0	(+.f32 x x)
accuracy	0.24160998329435446	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x)))
accuracy	0.976022700703208	#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x))

Samples

49.0ms

256×

valid

Compiler

Compiled 85 to 19 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-sqrt: 20.0ms (48.8% of total)

ival-add: 5.0ms (12.2% of total)

ival-mult: 5.0ms (12.2% of total)

ival-log: 5.0ms (12.2% of total)

ival-pow: 4.0ms (9.8% of total)

ival-sub: 2.0ms (4.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series287.0ms (6.9%)

Memory

-38.6MiB live, 205.1MiB allocated

Counts

7 → 50

Calls

Call 1

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

Outputs
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(* 2 x)
1
(+ 1 (* -2 x))
(+ 1 (* x (- x 2)))
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))
(+ (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))
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))
(+ (log (- (sqrt -1) 1)) (* -1 (log (/ -1 x))))
(+ (log (- (sqrt -1) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (* (sqrt -1) (- (sqrt -1) 1)))))))
(+ (log (- (sqrt -1) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (pow (- (sqrt -1) 1) 2)))) (* 3 (/ 1 (* (pow (sqrt -1) 3) (- (sqrt -1) 1))))) (pow x 4))) (/ 1/2 (* (pow x 2) (* (sqrt -1) (- (sqrt -1) 1)))))))
(+ (log (- (sqrt -1) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (pow (- (sqrt -1) 1) 2)))) (* 3 (/ 1 (* (pow (sqrt -1) 3) (- (sqrt -1) 1))))) (pow x 4))) (+ (* 1/720 (/ (+ (* 30 (/ 1 (* (pow (sqrt -1) 3) (pow (- (sqrt -1) 1) 3)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 5) (- (sqrt -1) 1)))) (* 45 (/ 1 (* (pow (sqrt -1) 4) (pow (- (sqrt -1) 1) 2)))))) (pow x 6))) (/ 1/2 (* (pow x 2) (* (sqrt -1) (- (sqrt -1) 1))))))))
(* -1 (* x (- (sqrt -1) 1)))
(* -1 (* x (- (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))) 1)))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))

Calls

3 calls:

Time

Variable

Point

Expression

187.0ms

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

56.0ms

-inf

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

44.0ms

inf

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

simplify201.0ms (4.8%)

Memory

20.9MiB live, 253.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	275	911
1	849	852
2	2994	836
0	8338	809

Stop Event

1×	iter limit
1×	node limit

Counts

50 → 50

Calls

Call 1

Inputs
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(* 2 x)
1
(+ 1 (* -2 x))
(+ 1 (* x (- x 2)))
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))
(+ (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))
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))
(+ (log (- (sqrt -1) 1)) (* -1 (log (/ -1 x))))
(+ (log (- (sqrt -1) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (* (sqrt -1) (- (sqrt -1) 1)))))))
(+ (log (- (sqrt -1) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (pow (- (sqrt -1) 1) 2)))) (* 3 (/ 1 (* (pow (sqrt -1) 3) (- (sqrt -1) 1))))) (pow x 4))) (/ 1/2 (* (pow x 2) (* (sqrt -1) (- (sqrt -1) 1)))))))
(+ (log (- (sqrt -1) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (pow (- (sqrt -1) 1) 2)))) (* 3 (/ 1 (* (pow (sqrt -1) 3) (- (sqrt -1) 1))))) (pow x 4))) (+ (* 1/720 (/ (+ (* 30 (/ 1 (* (pow (sqrt -1) 3) (pow (- (sqrt -1) 1) 3)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 5) (- (sqrt -1) 1)))) (* 45 (/ 1 (* (pow (sqrt -1) 4) (pow (- (sqrt -1) 1) 2)))))) (pow x 6))) (/ 1/2 (* (pow x 2) (* (sqrt -1) (- (sqrt -1) 1))))))))
(* -1 (* x (- (sqrt -1) 1)))
(* -1 (* x (- (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))) 1)))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))

Outputs
(log (sqrt -1))
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(fma.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32))) x (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (/.f32 (.f32 #s(literal 3/40 binary32) (.f32 x x)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal -1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ x (sqrt -1))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) x)
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(fma.f32 (fma.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/8 binary32) (.f32 x x)) #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
1
#s(literal 1 binary32)
(+ 1 (* -2 x))
(fma.f32 #s(literal -2 binary32) x #s(literal 1 binary32))
(+ 1 (* x (- x 2)))
(fma.f32 (-.f32 x #s(literal 2 binary32)) x #s(literal 1 binary32))
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 (fma.f32 (-.f32 (*.f32 (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) #s(literal 1/16 binary32)) (/.f32 #s(literal -1/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (sqrt.f32 #s(literal -1 binary32)))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) x)
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(.f32 (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) x)
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(.f32 (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) x)
(pow x 2)
(*.f32 x x)
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(*.f32 x (fma.f32 (/.f32 #s(literal -2 binary32) x) x x))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))
(*.f32 x (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -2 binary32)) x) x x))
(sqrt x)
(sqrt.f32 x)
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) #s(literal -1/16 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) 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 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal -1/4 binary32) (*.f32 x 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 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal -1/4 binary32) (*.f32 x 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 (fma.f32 (/.f32 #s(literal 5/128 binary32) (.f32 x x)) #s(literal -1 binary32) #s(literal -1/16 binary32)) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x x)) #s(literal 1/2 binary32))) (neg.f32 x))
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))
(.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)) x)) x) x)
(+ (log (- (sqrt -1) 1)) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 (-.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log (- (sqrt -1) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (* (sqrt -1) (- (sqrt -1) 1)))))))
(-.f32 (-.f32 (log.f32 (-.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 x x)) (.f32 (-.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))))
(+ (log (- (sqrt -1) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (pow (- (sqrt -1) 1) 2)))) (* 3 (/ 1 (* (pow (sqrt -1) 3) (- (sqrt -1) 1))))) (pow x 4))) (/ 1/2 (* (pow x 2) (* (sqrt -1) (- (sqrt -1) 1)))))))
(-.f32 (-.f32 (/.f32 (.f32 #s(literal -1/8 binary32) (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1 binary32)))) (-.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1 binary32)))) (pow.f32 x #s(literal 4 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 x x)) (*.f32 (-.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))))) (-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 (-.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1 binary32)))))
(+ (log (- (sqrt -1) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (pow (- (sqrt -1) 1) 2)))) (* 3 (/ 1 (* (pow (sqrt -1) 3) (- (sqrt -1) 1))))) (pow x 4))) (+ (* 1/720 (/ (+ (* 30 (/ 1 (* (pow (sqrt -1) 3) (pow (- (sqrt -1) 1) 3)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 5) (- (sqrt -1) 1)))) (* 45 (/ 1 (* (pow (sqrt -1) 4) (pow (- (sqrt -1) 1) 2)))))) (pow x 6))) (/ 1/2 (* (pow x 2) (* (sqrt -1) (- (sqrt -1) 1))))))))
(-.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) (-.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (-.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1 binary32))) #s(literal 45 binary32) (/.f32 #s(literal 30 binary32) (pow.f32 (.f32 (-.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) #s(literal 3 binary32)))) (pow.f32 x #s(literal 6 binary32))) #s(literal 1/720 binary32) (-.f32 (/.f32 (.f32 #s(literal -1/8 binary32) (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1 binary32)))) (-.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1 binary32)))) (pow.f32 x #s(literal 4 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 x x)) (.f32 (-.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))))) (-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 (-.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1 binary32)))))
(* -1 (* x (- (sqrt -1) 1)))
(*.f32 (neg.f32 x) (-.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1 binary32)))
(* -1 (* x (- (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))) 1)))
(.f32 (neg.f32 x) (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32))) #s(literal 1 binary32)))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))))
(.f32 (neg.f32 x) (-.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal -1/8 binary32) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 x #s(literal 4 binary32)))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
(.f32 (neg.f32 x) (-.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 x x)) (sqrt.f32 #s(literal -1 binary32)))) (+.f32 (/.f32 (/.f32 #s(literal -1/8 binary32) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32))))
(* -1 (* (sqrt x) (sqrt -1)))
(*.f32 (sqrt.f32 x) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(neg.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) x) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(.f32 (neg.f32 x) (.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(.f32 (neg.f32 x) (.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) #s(literal 1/16 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))))

rewrite60.0ms (1.4%)

Memory

4.0MiB live, 90.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	75
0	27	61
1	117	39
0	908	39

Stop Event

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

Counts

7 → 74

Calls

Call 1

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

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

eval78.0ms (1.9%)

Memory: -3.6MiB live, 78.4MiB allocated
Compiler: Compiled 2 827 to 615 computations (78.2% saved)

prune33.0ms (0.8%)

Memory

-34.2MiB live, 10.1MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	0	0	0
Picked	1	1	2
Done	0	2	2
Total	124	4	128

Accuracy

100.0%

Counts

128 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.4%	(log.f32 (fma.f32 (pow.f32 #s(approx (* (- x 1) (- x 1)) (fma.f32 (-.f32 x #s(literal 2 binary32)) x #s(literal 1 binary32))) #s(literal 1/4 binary32)) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) x))
✓	99.3%	(log.f32 (fma.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) x))
✓	96.8%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x)))
✓	99.3%	(acosh.f32 x)

Compiler

Compiled 49 to 34 computations (30.6% saved)

simplify7.0ms (0.2%)

Memory

12.4MiB live, 12.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	95
0	23	95
1	35	95
2	62	95
3	100	95
4	140	95
5	152	95
6	164	95
0	164	95

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize63.0ms (1.5%)

Memory

45.4MiB live, 121.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(fma.f32 (-.f32 x #s(literal 2 binary32)) x #s(literal 1 binary32))
accuracy	0.0625	(fma.f32 (pow.f32 #s(approx (* (- x 1) (- x 1)) (fma.f32 (-.f32 x #s(literal 2 binary32)) x #s(literal 1 binary32))) #s(literal 1/4 binary32)) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) x)
accuracy	0.24160998329435446	(log.f32 (fma.f32 (pow.f32 #s(approx (* (- x 1) (- x 1)) (fma.f32 (-.f32 x #s(literal 2 binary32)) x #s(literal 1 binary32))) #s(literal 1/4 binary32)) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) x))
accuracy	16.523953191958032	(pow.f32 #s(approx (* (- x 1) (- x 1)) (fma.f32 (-.f32 x #s(literal 2 binary32)) x #s(literal 1 binary32))) #s(literal 1/4 binary32))

Samples

42.0ms

256×

valid

Compiler

Compiled 72 to 17 computations (76.4% saved)

Precisions

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

ival-add: 17.0ms (49.4% of total)

ival-mult: 5.0ms (14.5% of total)

ival-pow: 5.0ms (14.5% of total)

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

ival-log: 2.0ms (5.8% of total)

ival-sqrt: 2.0ms (5.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series65.0ms (1.6%)

Memory

-23.1MiB live, 121.3MiB allocated

Counts

5 → 42

Calls

Call 1

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

Outputs
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
1
(+ 1 (* -2 x))
(+ 1 (* x (- 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)))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))
(pow x 2)
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))
(+ (log (- (sqrt -1) 1)) (* -1 (log (/ -1 x))))
(+ (log (- (sqrt -1) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (* (sqrt -1) (- (sqrt -1) 1)))))))
(+ (log (- (sqrt -1) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (pow (- (sqrt -1) 1) 2)))) (* 3 (/ 1 (* (pow (sqrt -1) 3) (- (sqrt -1) 1))))) (pow x 4))) (/ 1/2 (* (pow x 2) (* (sqrt -1) (- (sqrt -1) 1)))))))
(+ (log (- (sqrt -1) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (pow (- (sqrt -1) 1) 2)))) (* 3 (/ 1 (* (pow (sqrt -1) 3) (- (sqrt -1) 1))))) (pow x 4))) (+ (* 1/720 (/ (+ (* 30 (/ 1 (* (pow (sqrt -1) 3) (pow (- (sqrt -1) 1) 3)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 5) (- (sqrt -1) 1)))) (* 45 (/ 1 (* (pow (sqrt -1) 4) (pow (- (sqrt -1) 1) 2)))))) (pow x 6))) (/ 1/2 (* (pow x 2) (* (sqrt -1) (- (sqrt -1) 1))))))))
(* -1 (* x (- (sqrt -1) 1)))
(* -1 (* x (- (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))) 1)))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))

Calls

3 calls:

Time

Variable

Point

Expression

32.0ms

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

16.0ms

inf

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

16.0ms

-inf

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

simplify216.0ms (5.2%)

Memory

22.9MiB live, 210.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	246	796
1	762	738
2	2733	721
0	8476	691

Stop Event

1×	iter limit
1×	node limit

Counts

42 → 42

Calls

Call 1

Inputs
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
1
(+ 1 (* -2 x))
(+ 1 (* x (- 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)))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))
(pow x 2)
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))
(+ (log (- (sqrt -1) 1)) (* -1 (log (/ -1 x))))
(+ (log (- (sqrt -1) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (* (sqrt -1) (- (sqrt -1) 1)))))))
(+ (log (- (sqrt -1) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (pow (- (sqrt -1) 1) 2)))) (* 3 (/ 1 (* (pow (sqrt -1) 3) (- (sqrt -1) 1))))) (pow x 4))) (/ 1/2 (* (pow x 2) (* (sqrt -1) (- (sqrt -1) 1)))))))
(+ (log (- (sqrt -1) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (pow (- (sqrt -1) 1) 2)))) (* 3 (/ 1 (* (pow (sqrt -1) 3) (- (sqrt -1) 1))))) (pow x 4))) (+ (* 1/720 (/ (+ (* 30 (/ 1 (* (pow (sqrt -1) 3) (pow (- (sqrt -1) 1) 3)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 5) (- (sqrt -1) 1)))) (* 45 (/ 1 (* (pow (sqrt -1) 4) (pow (- (sqrt -1) 1) 2)))))) (pow x 6))) (/ 1/2 (* (pow x 2) (* (sqrt -1) (- (sqrt -1) 1))))))))
(* -1 (* x (- (sqrt -1) 1)))
(* -1 (* x (- (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))) 1)))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) 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 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32))) x (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (.f32 (.f32 #s(literal 3/40 binary32) 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 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/8 binary32) (.f32 x x)) #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 (fma.f32 (-.f32 (*.f32 (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) #s(literal 1/16 binary32)) (/.f32 #s(literal -1/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (sqrt.f32 #s(literal -1 binary32)))
1
#s(literal 1 binary32)
(+ 1 (* -2 x))
(fma.f32 #s(literal -2 binary32) x #s(literal 1 binary32))
(+ 1 (* x (- x 2)))
(fma.f32 (-.f32 x #s(literal 2 binary32)) x #s(literal 1 binary32))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) x)
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(.f32 (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) x)
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(.f32 (-.f32 (-.f32 #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)
(sqrt x)
(sqrt.f32 x)
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) #s(literal -1/16 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))) x)
(pow x 2)
(*.f32 x x)
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(*.f32 x (fma.f32 (/.f32 #s(literal -2 binary32) x) x x))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))
(*.f32 x (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -2 binary32)) x) x x))
(+ (log (- (sqrt -1) 1)) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 (-.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log (- (sqrt -1) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (* (sqrt -1) (- (sqrt -1) 1)))))))
(-.f32 (-.f32 (log.f32 (-.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 x x)) (.f32 (-.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))))
(+ (log (- (sqrt -1) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (pow (- (sqrt -1) 1) 2)))) (* 3 (/ 1 (* (pow (sqrt -1) 3) (- (sqrt -1) 1))))) (pow x 4))) (/ 1/2 (* (pow x 2) (* (sqrt -1) (- (sqrt -1) 1)))))))
(-.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1 binary32)))) (-.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1 binary32))) (pow.f32 x #s(literal 4 binary32))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (.f32 (-.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))))) (-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 (-.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1 binary32)))))
(+ (log (- (sqrt -1) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (pow (- (sqrt -1) 1) 2)))) (* 3 (/ 1 (* (pow (sqrt -1) 3) (- (sqrt -1) 1))))) (pow x 4))) (+ (* 1/720 (/ (+ (* 30 (/ 1 (* (pow (sqrt -1) 3) (pow (- (sqrt -1) 1) 3)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 5) (- (sqrt -1) 1)))) (* 45 (/ 1 (* (pow (sqrt -1) 4) (pow (- (sqrt -1) 1) 2)))))) (pow x 6))) (/ 1/2 (* (pow x 2) (* (sqrt -1) (- (sqrt -1) 1))))))))
(-.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) (-.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (-.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1 binary32))) #s(literal 45 binary32) (/.f32 #s(literal 30 binary32) (pow.f32 (.f32 (-.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) #s(literal 3 binary32)))) (pow.f32 x #s(literal 6 binary32))) #s(literal 1/720 binary32) (fma.f32 #s(literal -1/8 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1 binary32)))) (-.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1 binary32))) (pow.f32 x #s(literal 4 binary32))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 (-.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))))) (-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 (-.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1 binary32)))))
(* -1 (* x (- (sqrt -1) 1)))
(*.f32 (neg.f32 x) (-.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1 binary32)))
(* -1 (* x (- (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))) 1)))
(.f32 (neg.f32 x) (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32))) #s(literal 1 binary32)))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))))
(.f32 (neg.f32 x) (-.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal -1/8 binary32) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 x #s(literal 4 binary32)))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
(.f32 (neg.f32 x) (-.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 x x)) (sqrt.f32 #s(literal -1 binary32)))) (+.f32 (/.f32 (/.f32 #s(literal -1/8 binary32) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32))))
(* -1 (* (sqrt x) (sqrt -1)))
(*.f32 (sqrt.f32 x) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(.f32 (.f32 (neg.f32 x) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(.f32 (neg.f32 x) (.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(.f32 (neg.f32 x) (.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) #s(literal 1/16 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))))
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))
(*.f32 x (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -2 binary32)) x) x x))

rewrite296.0ms (7.1%)

Memory

1.2MiB live, 392.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	81
0	23	73
1	99	73
2	648	73
3	6926	73
0	8200	73

Stop Event

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

Counts

5 → 179

Calls

Call 1

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

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

eval74.0ms (1.8%)

Memory: -21.8MiB live, 76.5MiB allocated
Compiler: Compiled 14 834 to 1 162 computations (92.2% saved)

prune5.0ms (0.1%)

Memory

22.6MiB live, 22.6MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	219	0	219
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	219	4	223

Accuracy

100.0%

Counts

223 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	47.4%	(log.f32 (fma.f32 (pow.f32 #s(approx (* (- x 1) (- x 1)) (fma.f32 (-.f32 x #s(literal 2 binary32)) x #s(literal 1 binary32))) #s(literal 1/4 binary32)) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) x))
✓	99.3%	(log.f32 (fma.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) x))
✓	96.8%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x)))
✓	99.3%	(acosh.f32 x)

Compiler

Compiled 136 to 73 computations (46.3% saved)

regimes10.0ms (0.2%)

Memory

-14.1MiB live, 27.8MiB allocated

Accuracy

Total -17.5b remaining (-7713.6%)

Threshold costs -17.5b (-7713.6%)

Counts

7 → 1

Calls

Call 1

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

Outputs
(acosh.f32 x)

Calls

3 calls:

5.0ms	x
2.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
2.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))

Results

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

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify15.0ms (0.4%)

Memory

-5.4MiB live, 38.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	2

Stop Event

1×

saturated

Calls

Call 1

Inputs
(acosh.f32 x)

Outputs
(acosh.f32 x)

derivations108.0ms (2.6%)

Memory

3.3MiB live, 99.7MiB 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×	done
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 2 to 2 computations (0% saved)

preprocess30.0ms (0.7%)

Memory: -14.2MiB live, 30.8MiB allocated
Compiler: Compiled 46 to 36 computations (21.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample638.0ms (15.3%)

explain143.0ms (3.4%)

preprocess161.0ms (3.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify224.0ms (5.4%)

localize23.0ms (0.6%)

series5.0ms (0.1%)

simplify197.0ms (4.7%)

rewrite175.0ms (4.2%)

eval56.0ms (1.3%)

prune4.0ms (0.1%)

simplify161.0ms (3.9%)

localize98.0ms (2.4%)

series9.0ms (0.2%)

simplify168.0ms (4%)

rewrite277.0ms (6.6%)

eval50.0ms (1.2%)

prune5.0ms (0.1%)

simplify175.0ms (4.2%)

localize59.0ms (1.4%)

series287.0ms (6.9%)

simplify201.0ms (4.8%)

rewrite60.0ms (1.4%)

eval78.0ms (1.9%)

prune33.0ms (0.8%)

simplify7.0ms (0.2%)

localize63.0ms (1.5%)

series65.0ms (1.6%)

simplify216.0ms (5.2%)

rewrite296.0ms (7.1%)

eval74.0ms (1.8%)

prune5.0ms (0.1%)

regimes10.0ms (0.2%)

simplify15.0ms (0.4%)

derivations108.0ms (2.6%)

preprocess30.0ms (0.7%)

end0.0ms (0%)

Profiling