Metrics for Hyperbolic secant

analyze0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
100%	100%	0%	0%	0%	0%	0%	2

Compiler

Compiled 10 to 9 computations (10% saved)

sample771.0ms (8%)

Memory

4.9MiB live, 1 470.9MiB allocated

Samples

535.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 283.0ms

ival-exp: 141.0ms (49.7% of total)

ival-div: 55.0ms (19.4% of total)

ival-add: 41.0ms (14.5% of total)

ival-neg: 34.0ms (12% of total)

ival-true: 6.0ms (2.1% of total)

exact: 5.0ms (1.8% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

preprocess22.0ms (0.2%)

Memory

9.1MiB live, 48.1MiB allocated

Algorithm

1×	egg-herbie

Rules

48×	`sub-neg`
28×	`distribute-lft-neg-in`
28×	`cancel-sign-sub-inv`
22×	`associate-+l-`
18×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	28	16
2	57	16
3	100	16
4	137	16
5	181	16
6	209	16
7	217	16
8	223	16
9	233	16
10	241	16
0	7	8
0	12	8
1	19	8
2	25	8
3	29	8
4	33	8
5	39	8
6	46	8
7	50	8
8	52	8
9	53	8
0	53	8

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Symmetry

(abs x)

explain84.0ms (0.9%)

Memory

30.3MiB live, 226.9MiB allocated

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
0	-	-	`(exp.f64 x)`
1	(459.360076504813)	-	`(exp.f64 (neg.f64 x))`
0	-	-	`(neg.f64 x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f64`	`(exp.f64 (neg.f64 x))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	0	0
-	1	255

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	1	0	255

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

31.0ms

512×

valid

Compiler

Compiled 68 to 32 computations (52.9% saved)

Precisions

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

ival-exp: 9.0ms (46.2% of total)

ival-add: 4.0ms (20.5% of total)

ival-div: 3.0ms (15.4% of total)

ival-neg: 2.0ms (10.3% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify9.0ms (0.1%)

Memory

-25.0MiB live, 17.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(exp.f64 (neg.f64 x))
✓	cost-diff	(exp.f64 x)
✓	cost-diff	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	cost-diff	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Rules

16×	`lower-*.f64`
16×	`lower-*.f32`
12×	`lower-fma.f64`
12×	`lower-fma.f32`
12×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	12	23
1	19	23
2	25	23
3	29	23
4	33	23
5	39	23
6	46	23
7	50	23
8	52	23
9	53	23
0	53	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
#s(literal 2 binary64)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)

Outputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
#s(literal 2 binary64)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)

localize51.0ms (0.5%)

Memory

19.9MiB live, 59.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(exp.f64 (neg.f64 x))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Samples

42.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-exp: 32.0ms (87.9% of total)

ival-div: 2.0ms (5.5% of total)

ival-add: 1.0ms (2.7% of total)

ival-neg: 1.0ms (2.7% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.2%)

Memory

-29.1MiB live, 10.5MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())
#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())
#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())
#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) (taylor 0 x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) (taylor 0 x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (exp x) (exp (neg x))) (taylor inf x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (exp x) (exp (neg x))) (taylor inf x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (exp x) (exp (neg x))) (taylor inf x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (exp x) (exp (neg x))) (taylor inf x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* 1/2 x) 1))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (neg x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (neg x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (neg x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (neg x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())

Calls

15 calls:

Time	Variable		Point	Expression
13.0ms	x	@	-inf	(/ 2 (+ (exp x) (exp (neg x))))
1.0ms	x	@	inf	(/ 2 (+ (exp x) (exp (neg x))))
0.0ms	x	@	0	(/ 2 (+ (exp x) (exp (neg x))))
0.0ms	x	@	inf	(neg x)
0.0ms	x	@	0	(exp (neg x))

simplify420.0ms (4.3%)

Memory

2.9MiB live, 774.1MiB allocated

Algorithm

1×	egg-herbie

Rules

15 580×	`lower-fma.f64`
15 580×	`lower-fma.f32`
3 668×	`lower-*.f64`
3 668×	`lower-*.f32`
2 386×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	307
1	162	306
2	359	302
3	921	302
4	1406	302
5	2068	302
6	3397	302
7	4663	302
8	5970	302
9	7535	302
0	8007	280

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)

rewrite317.0ms (3.3%)

Memory

14.3MiB live, 650.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 044×	`lower-/.f32`
5 042×	`lower-/.f64`
4 012×	`lower-*.f64`
4 012×	`lower-*.f32`
2 444×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	21
0	12	17
1	42	15
2	257	15
3	2370	15
0	9064	15

Stop Event

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

Counts

5 → 428

Calls

Call 1

Inputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)

Outputs
(+.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) (exp.f64 (+.f64 x x))) (.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) (expm1.f64 (-.f64 (neg.f64 x) x))))
(+.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) (expm1.f64 (-.f64 (neg.f64 x) x))) (.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) (exp.f64 (+.f64 x x))))
(+.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (exp.f64 x)) (.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (neg.f64 (exp.f64 (neg.f64 x)))))
(+.f64 (.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64)))))) (.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64)))))))
(+.f64 (.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64)))))) (.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64)))))))
(+.f64 (.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))) (.f64 (neg.f64 (exp.f64 (neg.f64 x))) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))))
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(-.f64 (/.f64 (/.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal 1/2 binary64)) (/.f64 (/.f64 (exp.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (.f64 (neg.f64 (exp.f64 (neg.f64 x))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))))
(fma.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) (.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))))
(fma.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) (.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))))
(fma.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) (exp.f64 (+.f64 x x)) (.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (expm1.f64 (-.f64 (neg.f64 x) x))))
(fma.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) (expm1.f64 (-.f64 (neg.f64 x) x)) (.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (+.f64 x x))))
(fma.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (exp.f64 x) (.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (neg.f64 (exp.f64 (neg.f64 x)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 x)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)) #s(literal -1/2 binary64))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))
(/.f64 (.f64 #s(literal 4 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (pow.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64)))) (fma.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (-.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))) (exp.f64 (.f64 x #s(literal 4 binary64))))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x #s(literal 3 binary64))))) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (cosh.f64 x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))) (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))))
(/.f64 (neg.f64 (.f64 #s(literal 4 binary64) (sinh.f64 x))) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))))
(/.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(/.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (pow.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) #s(literal 3 binary64)))) (fma.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (-.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))) (exp.f64 (*.f64 x #s(literal 4 binary64)))))
(/.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)))) (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x #s(literal 3 binary64))))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))) (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x #s(literal 3 binary64)))))) (neg.f64 (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (pow.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) #s(literal 3 binary64))))) (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64)))) (fma.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (-.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))) (exp.f64 (.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) #s(literal 1 binary64))))) (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))) (neg.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x))))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (pow.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (-.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))) (exp.f64 (*.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) #s(literal 1 binary64))))) (neg.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))) (.f64 (cosh.f64 x) #s(literal -2 binary64)))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x #s(literal 3 binary64)))))) (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64))
(pow.f64 (cosh.f64 x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (cosh.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)))
(.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 4 binary64) (sinh.f64 x))) #s(literal -1 binary64)))
(.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (cosh.f64 x) #s(literal 1/2 binary64))))
(.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (.f64 (cosh.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
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(.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (pow.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) #s(literal 3 binary64)))) (fma.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (-.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))) (exp.f64 (*.f64 x #s(literal 4 binary64)))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)))) (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x #s(literal 3 binary64))))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (sinh.f64 x) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cosh.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))))
(.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sinh.f64 x))))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (-.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (neg.f64 x) #s(literal 4 binary64)))))))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (-.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)))))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (+.f64 (exp.f64 (.f64 x #s(literal 9 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 9 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 6 binary64))))))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (-.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 3 binary64))))))
(exp.f64 x)
(exp.f64 (*.f64 x #s(literal 1 binary64)))
(exp.f64 (fma.f64 x #s(literal 3 binary64) (-.f64 (neg.f64 x) x)))
(exp.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))))
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (exp.f64 x))) #s(literal 1 binary64))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 x))
(pow.f64 (.f64 (exp.f64 (.f64 x #s(literal 3/2 binary64))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (-.f64 (neg.f64 x) x)))
(*.f64 (exp.f64 (+.f64 x x)) (exp.f64 (neg.f64 x)))
(exp.f64 (neg.f64 x))
(exp.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 x #s(literal -3 binary64))))
(neg.f64 (neg.f64 (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (exp.f64 x)))))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (+.f64 (log.f64 #s(literal -1 binary64)) x)))
(/.f64 (exp.f64 (/.f64 #s(literal 0 binary64) (.f64 x x))) (exp.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 x x))))
(/.f64 (exp.f64 (/.f64 #s(literal 0 binary64) x)) (exp.f64 x))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (+.f64 x x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64)))
(pow.f64 (neg.f64 (neg.f64 (exp.f64 x))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (.f64 (exp.f64 x) (exp.f64 (.f64 x #s(literal -3/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (neg.f64 (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(pow.f64 (exp.f64 (neg.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 x #s(literal -3 binary64))))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 1 binary64)))
(.f64 (exp.f64 (.f64 x #s(literal -1/2 binary64))) (exp.f64 (*.f64 x #s(literal -1/2 binary64))))
(.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 (exp.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(log.f64 (exp.f64 (neg.f64 x)))
(+.f64 (neg.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 (neg.f64 x)))))
(+.f64 (log.f64 (exp.f64 (.f64 x #s(literal -1/2 binary64)))) (log.f64 (exp.f64 (.f64 x #s(literal -1/2 binary64)))))
(+.f64 (log.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64))))) (log.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 0 binary64) (log.f64 (neg.f64 (neg.f64 (exp.f64 x)))))
(-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) x))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) (.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) x) x)
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(neg.f64 x)
(neg.f64 (log.f64 (neg.f64 (neg.f64 (exp.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (neg.f64 (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 x x) (neg.f64 (.f64 x (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (neg.f64 (*.f64 x x)))))
(/.f64 (neg.f64 (.f64 x (.f64 x x))) (*.f64 x x))
(/.f64 (neg.f64 (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (neg.f64 (*.f64 x x)) x)
(/.f64 (neg.f64 (neg.f64 (.f64 x (.f64 x x)))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (.f64 x (.f64 x x)))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 0 binary64) (neg.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (neg.f64 x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (.f64 x (.f64 x x))))) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 x x)))) x)
(pow.f64 (/.f64 (.f64 x x) (neg.f64 (.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 x (neg.f64 (*.f64 x x))) #s(literal -1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)
(.f64 (neg.f64 (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal 1 binary64) x))

eval78.0ms (0.8%)

Memory: 11.9MiB live, 127.6MiB allocated
Compiler: Compiled 9 001 to 1 537 computations (82.9% saved)

prune152.0ms (1.6%)

Memory

4.5MiB live, 202.6MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	481	7	488
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	482	7	489

Accuracy

100.0%

Counts

489 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	89.7%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))))
	86.6%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))
▶	79.8%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
▶	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
▶	54.7%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
▶	54.7%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
▶	54.8%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))

Compiler

Compiled 144 to 84 computations (41.7% saved)

simplify20.0ms (0.2%)

Memory

-26.8MiB live, 51.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Program
✓	cost-diff	(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
✓	cost-diff	(.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))
✓	cost-diff	(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
✓	cost-diff	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
✓	cost-diff	(fma.f64 x x #s(literal 2 binary64))
✓	cost-diff	#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
✓	cost-diff	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
✓	cost-diff	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
✓	cost-diff	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
✓	cost-diff	(cosh.f64 x)
✓	cost-diff	(/.f64 #s(literal 1 binary64) (cosh.f64 x))

Rules

210×	`lower-fma.f32`
202×	`lower-fma.f64`
120×	`lower-*.f32`
116×	`lower-*.f64`
116×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	128
0	35	128
1	61	128
2	100	116
3	140	116
4	151	116
5	157	116
6	206	116
7	265	116
8	274	116
9	280	116
10	284	116
11	293	116
12	319	116
13	320	116
0	320	116

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
#s(literal 1 binary64)
(cosh.f64 x)
x
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
x
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
x
(.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(*.f64 x x)
#s(literal 5/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)

Outputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
#s(literal 1 binary64)
(cosh.f64 x)
x
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
x
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
x
(.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))
(.f64 x (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))
(*.f64 x x)
#s(literal 5/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)

localize75.0ms (0.8%)

Memory

-14.9MiB live, 189.5MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
✓	accuracy	99.9%	(.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
✓	accuracy	54.7%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
✓	accuracy	100.0%	(fma.f64 x x #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
✓	accuracy	79.8%	#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
✓	accuracy	100.0%	(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	54.7%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
✓	accuracy	54.8%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
✓	accuracy	100.0%	(cosh.f64 x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))

Samples

46.0ms

256×

valid

Compiler

Compiled 105 to 23 computations (78.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 8.0ms (27% of total)

ival-add: 6.0ms (20.2% of total)

ival-exp: 5.0ms (16.9% of total)

const: 4.0ms (13.5% of total)

ival-div: 3.0ms (10.1% of total)

ival-cosh: 3.0ms (10.1% of total)

ival-neg: 1.0ms (3.4% of total)

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

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

exact: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory

17.7MiB live, 17.7MiB allocated

Counts

13 → 156

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (patch (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #<representation binary64>) () ())
#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) (patch #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x x #s(literal 2 binary64)) (patch (fma.f64 x x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (patch (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (patch (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (patch (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (patch (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (patch (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (patch (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (patch (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (patch (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (patch (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (patch (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (patch (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (patch (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (pow x 2))) (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) (patch #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) (patch #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) (taylor 0 x) (#s(alt #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) (patch #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))) (taylor 0 x) (#s(alt #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) (patch #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) (patch #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) (patch #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) (patch #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) (patch #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) (patch #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) (patch #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) (patch #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) (patch #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) (taylor 0 x) (#s(alt #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))) (taylor 0 x) (#s(alt #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) (taylor inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) (taylor inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) (taylor inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
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#s(alt (* x (- (* 5/24 (pow x 2)) 1/2)) (taylor 0 x) (#s(alt (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 5/24 (pow x 2)) 1/2)) (taylor 0 x) (#s(alt (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5/24 (pow x 3)) (taylor inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5/24 (pow x 3)) (taylor -inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt -1/2 (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 5/24 (pow x 2)) 1/2) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 5/24 (pow x 2)) 1/2) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 5/24 (pow x 2)) 1/2) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5/24 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5/24 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())

Calls

39 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/ 1 (cosh x))
1.0ms	x	@	-inf	(/ 1 (cosh x))
0.0ms	x	@	inf	(+ (* -1/2 (* x x)) 1)
0.0ms	x	@	inf	(+ (* x (* x (+ (* (* x x) 5/24) -1/2))) 1)
0.0ms	x	@	inf	(* x (+ (* (* x x) 5/24) -1/2))

simplify304.0ms (3.1%)

Memory

0.9MiB live, 589.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 892×	`lower-fma.f64`
11 892×	`lower-fma.f32`
2 838×	`lower-*.f64`
2 838×	`lower-*.f32`
1 656×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	1158
1	215	1158
2	551	1154
3	1551	1154
4	2845	1154
5	5651	1154
6	7716	1154
0	8370	1061

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
2
(+ 2 (pow x 2))
(+ 2 (pow x 2))
(+ 2 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(* 5/24 (pow x 4))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* 5/24 (pow x 4))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* -1/2 x)
(* x (- (* 5/24 (pow x 2)) 1/2))
(* x (- (* 5/24 (pow x 2)) 1/2))
(* x (- (* 5/24 (pow x 2)) 1/2))
(* 5/24 (pow x 3))
(* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* 5/24 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24)))
-1/2
(- (* 5/24 (pow x 2)) 1/2)
(- (* 5/24 (pow x 2)) 1/2)
(- (* 5/24 (pow x 2)) 1/2)
(* 5/24 (pow x 2))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* 5/24 (pow x 2))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* 5/24 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 5/24 binary64))))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* 5/24 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 5/24 binary64))))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (* 5/24 (pow x 2)) 1/2))
(.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))
(* x (- (* 5/24 (pow x 2)) 1/2))
(.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))
(* x (- (* 5/24 (pow x 2)) 1/2))
(.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))
(* 5/24 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 5/24 binary64)))
(* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))
(* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))
(* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))
(* 5/24 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 5/24 binary64)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24)))
(.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24)))
(.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24)))
(.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))
-1/2
#s(literal -1/2 binary64)
(- (* 5/24 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(- (* 5/24 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(- (* 5/24 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(* 5/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 5/24 binary64))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(* 5/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 5/24 binary64))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))

rewrite737.0ms (7.6%)

Memory

-228.8MiB live, 823.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 354×	`lower-fma.f32`
8 346×	`lower-fma.f64`
5 718×	`lower-*.f32`
5 714×	`lower-*.f64`
4 012×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	113
0	35	97
1	145	97
2	945	97
0	8519	97

Stop Event

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

Counts

13 → 527

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(cosh.f64 x)
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))

Outputs
(+.f64 (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64))))) (exp.f64 (+.f64 x x))) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64))))) (expm1.f64 (-.f64 (neg.f64 x) x))))
(+.f64 (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64))))) (expm1.f64 (-.f64 (neg.f64 x) x))) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64))))) (exp.f64 (+.f64 x x))))
(+.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 (cosh.f64 x) (.f64 #s(literal 4 binary64) (sinh.f64 x)))) (exp.f64 x)) (.f64 (/.f64 #s(literal 2 binary64) (.f64 (cosh.f64 x) (.f64 #s(literal 4 binary64) (sinh.f64 x)))) (neg.f64 (exp.f64 (neg.f64 x)))))
(+.f64 (.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64)))))) (.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64)))))))
(+.f64 (.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64)))))) (.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64)))))))
(+.f64 (.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (.f64 (cosh.f64 x) (.f64 #s(literal 4 binary64) (sinh.f64 x))))) (.f64 (neg.f64 (exp.f64 (neg.f64 x))) (/.f64 #s(literal 2 binary64) (.f64 (cosh.f64 x) (.f64 #s(literal 4 binary64) (sinh.f64 x))))))
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(fma.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (.f64 (cosh.f64 x) (.f64 #s(literal 4 binary64) (sinh.f64 x)))) (.f64 (neg.f64 (exp.f64 (neg.f64 x))) (/.f64 #s(literal 2 binary64) (.f64 (cosh.f64 x) (*.f64 #s(literal 4 binary64) (sinh.f64 x))))))
(fma.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64))))) (.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))))))
(fma.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64))))) (.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))))))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64))))) (exp.f64 (+.f64 x x)) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (expm1.f64 (-.f64 (neg.f64 x) x))))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64))))) (expm1.f64 (-.f64 (neg.f64 x) x)) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (exp.f64 (+.f64 x x))))
(fma.f64 (/.f64 #s(literal 2 binary64) (.f64 (cosh.f64 x) (.f64 #s(literal 4 binary64) (sinh.f64 x)))) (exp.f64 x) (.f64 (/.f64 #s(literal 2 binary64) (.f64 (cosh.f64 x) (*.f64 #s(literal 4 binary64) (sinh.f64 x)))) (neg.f64 (exp.f64 (neg.f64 x)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 x)))
(/.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 x) #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x)))))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 (cosh.f64 x) (.f64 #s(literal 4 binary64) (sinh.f64 x)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)))
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(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1953125/2641807540224 binary64) #s(literal -1/512 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 15625/191102976 binary64) #s(literal 1/64 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -125/110592 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 25/576 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 x x) #s(literal -5/48 binary64))))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 15625/191102976 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 125/13824 binary64)) #s(literal 1/8 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 25/576 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 x x) #s(literal -5/48 binary64))))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 15625/191102976 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 625/331776 binary64) #s(literal 1/16 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 25/2304 binary64))) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 625/331776 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 25/576 binary64))) #s(literal 1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 125/13824 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 25/576 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 x x) #s(literal -5/48 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 125/13824 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 25/576 binary64)) #s(literal -5/48 binary64)))))
(/.f64 (.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 25/576 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 125/13824 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 25/576 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 x x) #s(literal -5/48 binary64))))))
(/.f64 (.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 25/576 binary64))) #s(literal -1/4 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -5/24 binary64) #s(literal -1/2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -25/576 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal -5/24 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 125/13824 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 25/576 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -5/48 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 25/576 binary64))) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 (.f64 x x) #s(literal -5/24 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -25/576 binary64) (.f64 x (.f64 x (.f64 x x)))))) (neg.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -5/24 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 25/576 binary64)))) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 25/576 binary64)))) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64))) (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 25/576 binary64)))) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 25/576 binary64)))) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 25/576 binary64)))) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64))) (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 25/576 binary64)))) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64)))) (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 25/576 binary64)))) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1953125/2641807540224 binary64) #s(literal -1/512 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 25/576 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -5/48 binary64)))))) (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 15625/191102976 binary64) #s(literal 1/64 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -125/110592 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 15625/191102976 binary64) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 25/576 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -5/48 binary64)))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 125/13824 binary64)) #s(literal 1/8 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 15625/191102976 binary64) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64)))) (+.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 625/331776 binary64) #s(literal 1/16 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 25/2304 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 625/331776 binary64) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64)))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 25/576 binary64))) #s(literal 1/4 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))
(.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 125/13824 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 25/576 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 x x) #s(literal -5/48 binary64))))))
(.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 125/13824 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 25/576 binary64)) #s(literal -5/48 binary64))))))
(.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 125/13824 binary64)) #s(literal -1/8 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 25/576 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -5/48 binary64))))) #s(literal 1 binary64)))
(.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 25/576 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64))))
(.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 25/576 binary64))) #s(literal -1/4 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 125/13824 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 25/576 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 x x) #s(literal -5/48 binary64)))))))
(.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 25/576 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -5/24 binary64) #s(literal -1/2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 25/576 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -5/48 binary64))))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (*.f64 x x) #s(literal 125/13824 binary64)) #s(literal -1/8 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64))) (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 25/576 binary64))) #s(literal -1/4 binary64)))
(.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -25/576 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal -5/24 binary64)))))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 25/576 binary64))) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 25/576 binary64))) #s(literal -1/4 binary64))) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 125/13824 binary64)) #s(literal -1/8 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 15625/191102976 binary64) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -5/48 binary64))) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -5/48 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -5/48 binary64))))))) (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 625/331776 binary64) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -5/48 binary64))) (-.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -5/48 binary64))) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 25/576 binary64))))))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 125/13824 binary64)) #s(literal -1/8 binary64)) (.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 25/576 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -5/48 binary64)))) (+.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 25/576 binary64))) #s(literal -1/4 binary64)) (.f64 (.f64 x x) #s(literal -5/48 binary64))))) (+.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 25/576 binary64))) #s(literal -1/4 binary64)) (.f64 (.f64 x x) #s(literal -5/48 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 25/576 binary64))) #s(literal -1/4 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 125/13824 binary64)) #s(literal 1/8 binary64))) (+.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 25/576 binary64))) #s(literal 1/4 binary64)) (.f64 (.f64 x x) #s(literal -5/48 binary64))))

eval177.0ms (1.8%)

Memory: -2.0MiB live, 229.2MiB allocated
Compiler: Compiled 17 983 to 1 565 computations (91.3% saved)

prune136.0ms (1.4%)

Memory

-23.9MiB live, 262.9MiB allocated

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	697	5	702
Fresh	0	2	2
Picked	0	5	5
Done	0	0	0
Total	697	12	709

Accuracy

100.0%

Counts

709 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.6%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
	89.7%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))))
▶	86.6%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))
✓	79.8%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
	56.8%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64))))))
▶	28.2%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
✓	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
▶	89.7%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
▶	86.6%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
✓	54.7%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
✓	54.7%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
✓	54.8%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))

Compiler

Compiled 295 to 159 computations (46.1% saved)

simplify344.0ms (3.5%)

Memory

30.4MiB live, 385.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	cost-diff	#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
✓	cost-diff	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
✓	cost-diff	(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
✓	cost-diff	(fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
✓	cost-diff	#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
✓	cost-diff	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	#s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	cost-diff	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	#s(approx (+ (* x x) 2) (*.f64 x x))
✓	cost-diff	#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))
✓	cost-diff	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	#s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	cost-diff	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))

Rules

6 264×	`lower-fma.f32`
6 246×	`lower-fma.f64`
2 472×	`unsub-neg`
1 996×	`lower-*.f32`
1 988×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	324
0	64	324
1	132	317
2	275	317
3	516	317
4	834	317
5	958	317
6	1110	317
7	1381	317
8	1478	317
9	1574	317
10	1654	317
11	2018	317
12	3977	317
13	5229	317
14	5680	317
15	5779	317
16	5788	317
17	5788	317
18	5788	317
19	5788	317
20	6240	317
21	6432	317
22	6432	317
23	6432	317
24	6439	317
0	6439	307

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))
#s(approx (+ (* x x) 2) (*.f64 x x))
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 x #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
x
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(*.f64 x x)
#s(literal 1/12 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 x x)
x
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
#s(literal 1/12 binary64)
#s(literal 1 binary64)

Outputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))
#s(approx (+ (* x x) 2) (*.f64 x x))
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 x #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
x
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(*.f64 x x)
#s(literal 1/12 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 x x)
x
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
#s(literal 1/12 binary64)
#s(literal 1 binary64)

localize139.0ms (1.4%)

Memory

-26.3MiB live, 335.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
✓	accuracy	99.9%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
✓	accuracy	86.6%	#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
✓	accuracy	99.9%	(fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
✓	accuracy	99.9%	(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/12 binary64))
✓	accuracy	86.6%	#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
✓	accuracy	99.9%	(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
✓	accuracy	99.9%	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	86.6%	#s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
✓	accuracy	79.8%	#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))
✓	accuracy	47.3%	#s(approx (+ (* x x) 2) (*.f64 x x))
✓	accuracy	99.9%	(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
✓	accuracy	99.6%	(.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
✓	accuracy	89.8%	#s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))

Samples

85.0ms

256×

valid

Compiler

Compiled 212 to 38 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 19.0ms (33.8% of total)

ival-add: 13.0ms (23.2% of total)

const: 9.0ms (16% of total)

ival-exp: 5.0ms (8.9% of total)

ival-cosh: 5.0ms (8.9% of total)

ival-div: 3.0ms (5.3% of total)

ival-neg: 1.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory

10.4MiB live, 48.4MiB allocated

Counts

24 → 288

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (.f64 x x)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ ( x x) 2) (*.f64 x x)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (.f64 x x))) (patch #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ ( x x) 2) (*.f64 x x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x x) 2) (.f64 x x)) (patch #s(approx (+ ( x x) 2) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)) (patch (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) (patch (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/24 binary64)) (patch (.f64 x #s(literal 1/24 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) #s(literal 1/12 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/12 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (taylor 0 x) (#s(alt #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (taylor 0 x) (#s(alt #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 6)) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 6)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())

Calls

72 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1)
0.0ms	x	@	inf	(+ (* x (+ (* x (* (* x x) 1/12)) x)) 2)
0.0ms	x	@	inf	(* x (+ (* (* x x) 1/720) 1/24))
0.0ms	x	@	0	(* x (+ (* (* x x) 1/720) 1/24))
0.0ms	x	@	-inf	(* x 1/24)

simplify553.0ms (5.7%)

Memory

31.9MiB live, 828.0MiB allocated

Algorithm

1×	egg-herbie

Rules

16 802×	`lower-fma.f64`
16 802×	`lower-fma.f32`
5 550×	`lower-*.f64`
5 550×	`lower-*.f32`
2 554×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	2198
1	338	2150
2	788	2128
3	3202	2128
4	5972	2128
5	6995	2128
0	8031	1944

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 287

Calls

Call 1

Inputs
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
2
(+ 2 (pow x 2))
(+ 2 (pow x 2))
(+ 2 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* 1/12 (pow x 2))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* 1/24 x)
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* 1/720 (pow x 3))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 3))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
1/24
(+ 1/24 (* 1/720 (pow x 2)))
(+ 1/24 (* 1/720 (pow x 2)))
(+ 1/24 (* 1/720 (pow x 2)))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* 1/24 (pow x 2)))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* 1/12 (pow x 2)))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(* 1/720 (pow x 6))
(.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/720 binary64))))))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x x)))))) #s(literal 1 binary64))
(* 1/720 (pow x 6))
(.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/720 binary64))))))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x x)))))) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
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(.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(* 1/720 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/720 binary64))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(* 1/720 (pow x 2))
(.f64 x (.f64 x #s(literal 1/720 binary64)))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(* 1/720 (pow x 2))
(.f64 x (.f64 x #s(literal 1/720 binary64)))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(* 1/720 (pow x 4))
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/720 binary64)))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(* 1/720 (pow x 4))
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/720 binary64)))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/12 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/12 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/12 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))

rewrite626.0ms (6.5%)

Memory

-9.5MiB live, 746.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 778×	`lower-fma.f32`
5 760×	`lower-fma.f64`
3 958×	`lower-*.f32`
3 950×	`lower-*.f64`
3 940×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	294
0	64	282
1	294	275
2	2185	275
0	8264	265

Stop Event

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

Counts

24 → 588

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))
#s(approx (+ (* x x) 2) (*.f64 x x))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(*.f64 x #s(literal 1/24 binary64))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))

Outputs
(exp.f64 (.f64 (log.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))))
(pow.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(.f64 (pow.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))
#s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(pow.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))
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(fma.f64 (*.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64)) (.f64 x (.f64 x #s(literal 1/12 binary64))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/1728 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64)) (.f64 x (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64) #s(literal -1 binary64)) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64)) (.f64 x (*.f64 x #s(literal 1/12 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64)) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal 1/12 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64)) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64)) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64)) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64)) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64) #s(literal 1 binary64)) (.f64 x (*.f64 x #s(literal 1/12 binary64))))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64)) (.f64 x (.f64 x #s(literal 1/12 binary64)))))))
(.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64) #s(literal 1 binary64)) (.f64 x (*.f64 x #s(literal 1/12 binary64)))))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/12 binary64))))))

eval132.0ms (1.4%)

Memory: -12.0MiB live, 390.5MiB allocated
Compiler: Compiled 26 817 to 2 152 computations (92% saved)

prune178.0ms (1.8%)

Memory

19.8MiB live, 503.1MiB allocated

Pruning

28 alts after pruning (20 fresh and 8 done)

	Pruned	Kept	Total
New	989	18	1 007
Fresh	0	2	2
Picked	2	3	5
Done	0	5	5
Total	991	28	1 019

Accuracy

100.0%

Counts

1 019 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	86.6%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x) x #s(literal 2 binary64))))
	60.9%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/144 binary64)) (.f64 x x)) x) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64)))) x)) #s(literal 2 binary64))))
	86.6%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64)))))
▶	86.6%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))))
	86.6%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) x x) #s(literal 2 binary64))))
	89.7%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))))
✓	79.8%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
	56.8%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64))))))
	34.7%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) 1/12) 1)) 2) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
✓	28.2%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
✓	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
	61.7%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
	89.7%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))))
	89.7%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/720 binary64) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
▶	89.7%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	64.7%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) x) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
✓	89.7%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
✓	86.6%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	89.1%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) #s(approx (+ ( x (* x (+ (* (* x x) 1/720) 1/24))) 1/2) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
▶	89.7%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
	36.4%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x x))))))))))
▶	37.7%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))))
	37.6%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/720 binary64)))))))))
	34.9%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))))))
▶	34.7%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)))))))
✓	54.7%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
✓	54.7%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
✓	54.8%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))

Compiler

Compiled 976 to 509 computations (47.8% saved)

simplify343.0ms (3.5%)

Memory

-25.2MiB live, 332.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	#s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
✓	cost-diff	320	(fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (*.f64 x #s(literal 1/24 binary64)))
✓	cost-diff	0	(.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))
✓	cost-diff	0	#s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))
✓	cost-diff	0	#s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))))
✓	cost-diff	0	(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x)
✓	cost-diff	0	(fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))
✓	cost-diff	0	#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))))
✓	cost-diff	0	(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))))
✓	cost-diff	0	#s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)))))
✓	cost-diff	0	#s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)))))))
✓	cost-diff	0	(.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
✓	cost-diff	0	(fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
✓	cost-diff	0	#s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))

Rules

6 264×	`lower-fma.f32`
6 250×	`lower-fma.f64`
2 472×	`unsub-neg`
1 996×	`lower-*.f32`
1 974×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	531
0	89	484
1	197	484
2	347	468
3	508	468
4	574	468
5	590	468
6	740	468
7	1100	468
8	1209	468
9	1313	468
10	1389	468
11	1753	468
12	3713	468
13	4958	468
14	5417	468
15	5521	468
16	5530	468
17	5530	468
18	5530	468
19	5530	468
20	5982	468
21	6174	468
22	6174	468
23	6174	468
24	6181	468
0	6181	462

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
x
(.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(*.f64 x #s(literal 1/720 binary64))
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)))))))
#s(literal 1 binary64)
#s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))))))
#s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)))))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))))
x
(.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(*.f64 x x)
#s(literal 1/24 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))
x
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x)
(.f64 x (.f64 x x))
(*.f64 x x)
#s(literal 1/12 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))))
#s(literal 1 binary64)
#s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))))
#s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))
(.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))
(*.f64 x x)
x
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(*.f64 x #s(literal 1/720 binary64))
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (*.f64 x #s(literal 1/24 binary64)))
(*.f64 x #s(literal 1/720 binary64))
#s(literal 1/720 binary64)
(*.f64 x #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)

Outputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
x
(.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(*.f64 x #s(literal 1/720 binary64))
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))))))
#s(literal 1 binary64)
#s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))))))
#s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))))
#s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)))))
#s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
x
(.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(*.f64 x x)
#s(literal 1/24 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))
x
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x)
(.f64 x (.f64 x x))
(*.f64 x x)
#s(literal 1/12 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x (.f64 x (*.f64 x x)))))))
#s(literal 1 binary64)
#s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))))
#s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x (.f64 x (*.f64 x x))))))
#s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))
#s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))
(.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x (.f64 x (*.f64 x x))))
(*.f64 x x)
x
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(*.f64 x #s(literal 1/720 binary64))
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (*.f64 x #s(literal 1/24 binary64)))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(*.f64 x #s(literal 1/720 binary64))
#s(literal 1/720 binary64)
(*.f64 x #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)

localize224.0ms (2.3%)

Memory

2.2MiB live, 398.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/720 binary64))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	89.8%	#s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	accuracy	99.6%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/720 binary64))
✓	accuracy	89.8%	#s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))))
✓	accuracy	47.4%	#s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))
✓	accuracy	99.9%	(fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))
✓	accuracy	99.9%	(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x)
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	86.6%	#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64)))
✓	accuracy	99.8%	(.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/24 binary64))
✓	accuracy	86.6%	#s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))))))
✓	accuracy	47.0%	#s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)))))
✓	accuracy	99.9%	(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
✓	accuracy	99.6%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/720 binary64))
✓	accuracy	89.8%	#s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))

Samples

151.0ms

256×

valid

Compiler

Compiled 316 to 53 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

ival-mult: 79.0ms (61.1% of total)

ival-add: 24.0ms (18.6% of total)

const: 15.0ms (11.6% of total)

ival-exp: 4.0ms (3.1% of total)

ival-div: 3.0ms (2.3% of total)

ival-cosh: 3.0ms (2.3% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory

11.8MiB live, 54.7MiB allocated

Counts

28 → 336

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (patch (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))))))) #<representation binary64>) () ())
#s(alt #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)))))) (patch #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))))) (patch #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)))) (patch (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64)) (patch (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) (patch (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ ( (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))))) #<representation binary64>) () ())
#s(alt #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))) (patch #s(approx (cosh x) #s(approx (+ ( (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))) (patch #s(approx (+ ( (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) (patch (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) (patch (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #<representation binary64>) () ())
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#s(alt #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/720 binary64)) (patch (.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())
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#s(alt (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) #s(literal 1/24 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))) (patch (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/24 binary64)) (patch (.f64 x #s(literal 1/24 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (taylor 0 x) (#s(alt #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (taylor 0 x) (#s(alt #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 1/720 (pow x 3)) (taylor -inf x) (#s(alt (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (patch (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (patch (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (patch (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (patch (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/24 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 4)) (taylor inf x) (#s(alt (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 1/24 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 1/24 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 1/24 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 1/24 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x x) #s(literal 1/24 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x x) #s(literal 1/24 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x x) #s(literal 1/24 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x x) #s(literal 1/24 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 1/24 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 1/24 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 1/24 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 1/24 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 3)) (taylor 0 x) (#s(alt (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))) (patch (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 3)) (taylor 0 x) (#s(alt (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))) (patch (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 3)) (taylor 0 x) (#s(alt (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))) (patch (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 3)) (taylor 0 x) (#s(alt (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))) (patch (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 3)) (taylor inf x) (#s(alt (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))) (patch (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 3)) (taylor inf x) (#s(alt (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))) (patch (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 3)) (taylor inf x) (#s(alt (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))) (patch (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 3)) (taylor inf x) (#s(alt (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))) (patch (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 3)) (taylor -inf x) (#s(alt (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))) (patch (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 3)) (taylor -inf x) (#s(alt (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))) (patch (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 3)) (taylor -inf x) (#s(alt (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))) (patch (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 3)) (taylor -inf x) (#s(alt (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))) (patch (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/24 binary64)) (patch (.f64 x #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/24 binary64)) (patch (.f64 x #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/24 binary64)) (patch (.f64 x #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/24 binary64)) (patch (.f64 x #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/24 binary64)) (patch (.f64 x #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/24 binary64)) (patch (.f64 x #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/24 binary64)) (patch (.f64 x #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/24 binary64)) (patch (.f64 x #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/24 binary64)) (patch (.f64 x #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/24 binary64)) (patch (.f64 x #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/24 binary64)) (patch (.f64 x #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/24 binary64)) (patch (.f64 x #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/24 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 4)) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())

Calls

84 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(* x (* x (* (* x x) 1/24)))
0.0ms	x	@	-inf	(* x 1/720)
0.0ms	x	@	-inf	(* x (* x x))
0.0ms	x	@	inf	(* x 1/720)
0.0ms	x	@	0	(* x (* (* x x) 1/24))

simplify276.0ms (2.9%)

Memory

7.3MiB live, 527.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 458×	`lower-fma.f64`
9 458×	`lower-fma.f32`
3 252×	`lower-*.f64`
3 252×	`lower-*.f32`
2 414×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	2768
1	367	2736
2	870	2710
3	2174	2706
4	4942	2706
5	7094	2706
0	8078	2495

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 335

Calls

Call 1

Inputs
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* 1/720 (pow x 5))
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/720 (pow x 5))
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/24 (pow x 4))
(* 1/24 (pow x 4))
(* 1/24 (pow x 4))
(* 1/24 (pow x 4))
(* 1/24 (pow x 4))
(* 1/24 (pow x 4))
(* 1/24 (pow x 4))
(* 1/24 (pow x 4))
(* 1/24 (pow x 4))
(* 1/24 (pow x 4))
(* 1/24 (pow x 4))
(* 1/24 (pow x 4))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* 1/12 (pow x 2))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/720 (pow x 2))))
(* (pow x 4) (+ 1/24 (* 1/720 (pow x 2))))
(* (pow x 4) (+ 1/24 (* 1/720 (pow x 2))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/24 x)
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* 1/720 (pow x 3))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 3))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/24 x)
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* 1/720 (pow x 3))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 3))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/720 (pow x 6))
(.f64 x (.f64 (.f64 x x) (.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x x)))))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x (*.f64 x x))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 1 binary64))
(* 1/720 (pow x 6))
(.f64 x (.f64 (.f64 x x) (.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x x)))))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x (*.f64 x x))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
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(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
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(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))

rewrite400.0ms (4.1%)

Memory

14.1MiB live, 725.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 476×	`lower-fma.f32`
6 462×	`lower-fma.f64`
4 016×	`lower-*.f32`
3 994×	`lower-*.f64`
3 872×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	463
0	89	412
1	404	412
2	2082	396
0	8308	390

Stop Event

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

Counts

28 → 719

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)))))))
#s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))))))
#s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)))))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x)
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))))
#s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))))
#s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))
(.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (*.f64 x #s(literal 1/24 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 1/720 binary64))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(.f64 x (.f64 x x))
(*.f64 x #s(literal 1/24 binary64))
(fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))

Outputs
(exp.f64 (.f64 (log.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))))
(pow.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (neg.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(.f64 (pow.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) #s(literal 1 binary64))
#s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(pow.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (neg.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))))
(+.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)))
(+.f64 (.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(+.f64 (/.f64 (.f64 x (.f64 (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))))) (fma.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (.f64 x x)))) (.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(-.f64 (/.f64 (.f64 x (.f64 (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))))) (fma.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))))) (/.f64 (.f64 x (.f64 (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 x (.f64 (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) x #s(literal 1 binary64))
(fma.f64 (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x)) (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))) #s(literal 1 binary64) #s(literal 1 binary64))
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(.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x)) (.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x)) (.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x))) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x))) (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))))))
(.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x)) (.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x)) (.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x)))))

eval210.0ms (2.2%)

Memory: 8.9MiB live, 354.3MiB allocated
Compiler: Compiled 38 284 to 2 488 computations (93.5% saved)

prune267.0ms (2.8%)

Memory

4.3MiB live, 643.6MiB allocated

Pruning

36 alts after pruning (26 fresh and 10 done)

	Pruned	Kept	Total
New	1 143	22	1 165
Fresh	11	4	15
Picked	2	3	5
Done	1	7	8
Total	1 157	36	1 193

Accuracy

100.0%

Counts

1 193 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.9%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) #s(literal 1/144 binary64) (.f64 (neg.f64 x) x)) x) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)) x)) #s(literal 2 binary64))))
	86.6%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)) x (fma.f64 x x #s(literal 2 binary64)))))
	86.6%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) x x) #s(literal 2 binary64))))
✓	79.8%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
✓	28.2%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
✓	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
	61.7%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
	89.7%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/720 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
	89.7%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/720 binary64)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
	59.3%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
✓	86.6%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	89.1%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) #s(approx (+ ( x (* x (+ (* (* x x) 1/720) 1/24))) 1/2) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
	89.7%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
	60.7%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) x) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
	59.7%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (/.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
✓	89.7%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
	37.6%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (+ (* (* x x) (* x 1/720)) (* x 1/24))) 1/2)) 1) (.f64 x (.f64 (.f64 x x) (.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x x))))))))
	37.7%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (*.f64 x x)) x))))))
	10.5%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))))))
	12.7%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (/.f64 (.f64 x (.f64 x x)) x) (/.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))))))
	37.7%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))
	37.7%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/720 binary64) (.f64 x #s(literal 1/24 binary64))))))))
	37.7%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))))))))
	7.6%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (/.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))))))))
	37.7%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))))))
✓	37.7%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))))
	37.6%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/720 binary64)))))))))
	37.7%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x #s(approx ( x (+ (* x (* x 1/720)) 1/24)) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))))))
	34.7%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) #s(approx (* (* x x) (* x (* x (+ (* x (* x 1/720)) 1/24)))) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))))))
	34.7%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) x))))
	34.7%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/24 binary64)))))))
	34.9%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))))))
✓	34.7%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)))))))
✓	54.7%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
✓	54.7%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
✓	54.8%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))

Compiler

Compiled 1 840 to 617 computations (66.5% saved)

regimes43.0ms (0.4%)

Memory

-7.7MiB live, 107.2MiB allocated

Counts

53 → 1

Calls

Call 1

Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) x))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) #s(approx (* (* x x) (* x (* x (+ (* x (* x 1/720)) 1/24)))) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) 1/12) 1)) 2) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)) x (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/720 binary64)))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (+ (* (* x x) (* x 1/720)) (* x 1/24))) 1/2)) 1) (.f64 x (.f64 (.f64 x x) (.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x x))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x #s(approx ( x (+ (* x (* x 1/720)) 1/24)) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) #s(approx (+ ( x (* x (+ (* (* x x) 1/720) 1/24))) 1/2) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/720 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/720 binary64) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/720 binary64)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/720 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (*.f64 x x)) x))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) x) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x x))))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/144 binary64)) (.f64 x x)) x) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64)))) x)) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) #s(literal 1/144 binary64) (.f64 (neg.f64 x) x)) x) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)) x)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (/.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (/.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (/.f64 (.f64 x (.f64 x x)) x) (/.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) x) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))

Calls

3 calls:

15.0ms	x
13.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
12.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
100.0%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes45.0ms (0.5%)

Memory

-20.3MiB live, 107.4MiB allocated

Counts

51 → 2

Calls

Call 1

Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) x))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) #s(approx (* (* x x) (* x (* x (+ (* x (* x 1/720)) 1/24)))) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) 1/12) 1)) 2) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)) x (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/720 binary64)))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (+ (* (* x x) (* x 1/720)) (* x 1/24))) 1/2)) 1) (.f64 x (.f64 (.f64 x x) (.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x x))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x #s(approx ( x (+ (* x (* x 1/720)) 1/24)) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) #s(approx (+ ( x (* x (+ (* (* x x) 1/720) 1/24))) 1/2) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/720 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/720 binary64) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/720 binary64)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/720 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (*.f64 x x)) x))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) x) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x x))))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/144 binary64)) (.f64 x x)) x) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64)))) x)) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) #s(literal 1/144 binary64) (.f64 (neg.f64 x) x)) x) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)) x)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (/.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (/.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (/.f64 (.f64 x (.f64 x x)) x) (/.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) x) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))

Outputs

(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))

(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))

Calls

3 calls:

17.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
14.0ms	x
12.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
93.7%	2	`x`
89.7%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
89.7%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes17.0ms (0.2%)

Memory

6.8MiB live, 46.0MiB allocated

Counts

50 → 2

Calls

Call 1

Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) x))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) #s(approx (* (* x x) (* x (* x (+ (* x (* x 1/720)) 1/24)))) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) 1/12) 1)) 2) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)) x (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/720 binary64)))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (+ (* (* x x) (* x 1/720)) (* x 1/24))) 1/2)) 1) (.f64 x (.f64 (.f64 x x) (.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x x))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x #s(approx ( x (+ (* x (* x 1/720)) 1/24)) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) #s(approx (+ ( x (* x (+ (* (* x x) 1/720) 1/24))) 1/2) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/720 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/720 binary64) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/720 binary64)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/720 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (*.f64 x x)) x))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) x) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x x))))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/144 binary64)) (.f64 x x)) x) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64)))) x)) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) #s(literal 1/144 binary64) (.f64 (neg.f64 x) x)) x) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)) x)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (/.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (/.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (/.f64 (.f64 x (.f64 x x)) x) (/.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) x) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))

Outputs

(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64))))))

(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))))

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
92.0%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes26.0ms (0.3%)

Memory

-14.0MiB live, 69.9MiB allocated

Counts

45 → 1

Calls

Call 1

Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) x))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) #s(approx (* (* x x) (* x (* x (+ (* x (* x 1/720)) 1/24)))) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) 1/12) 1)) 2) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)) x (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/720 binary64)))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (+ (* (* x x) (* x 1/720)) (* x 1/24))) 1/2)) 1) (.f64 x (.f64 (.f64 x x) (.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x x))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x #s(approx ( x (+ (* x (* x 1/720)) 1/24)) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) #s(approx (+ ( x (* x (+ (* (* x x) 1/720) 1/24))) 1/2) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/720 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/720 binary64) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/720 binary64)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/720 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (*.f64 x x)) x))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) x) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x x))))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/144 binary64)) (.f64 x x)) x) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64)))) x)) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) #s(literal 1/144 binary64) (.f64 (neg.f64 x) x)) x) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)) x)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (/.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))))))

Outputs

(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))

Calls

2 calls:

14.0ms	x
10.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
89.7%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
89.7%	1	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes21.0ms (0.2%)

Memory

20.6MiB live, 60.0MiB allocated

Counts

26 → 1

Calls

Call 1

Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) x))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) #s(approx (* (* x x) (* x (* x (+ (* x (* x 1/720)) 1/24)))) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) 1/12) 1)) 2) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)) x (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/720 binary64)))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (+ (* (* x x) (* x 1/720)) (* x 1/24))) 1/2)) 1) (.f64 x (.f64 (.f64 x x) (.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x x))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x #s(approx ( x (+ (* x (* x 1/720)) 1/24)) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) #s(approx (+ ( x (* x (+ (* (* x x) 1/720) 1/24))) 1/2) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))))

Outputs

(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))))

Calls

3 calls:

8.0ms	x
6.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
6.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
89.1%	1	`x`
89.1%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
89.1%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes20.0ms (0.2%)

Memory

1.8MiB live, 41.2MiB allocated

Counts

25 → 2

Calls

Call 1

Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) x))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) #s(approx (* (* x x) (* x (* x (+ (* x (* x 1/720)) 1/24)))) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) 1/12) 1)) 2) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)) x (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/720 binary64)))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (+ (* (* x x) (* x 1/720)) (* x 1/24))) 1/2)) 1) (.f64 x (.f64 (.f64 x x) (.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x x))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x #s(approx ( x (+ (* x (* x 1/720)) 1/24)) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))

Outputs

(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))

(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))))))

Calls

3 calls:

7.0ms	x
6.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
6.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
89.6%	2	`x`
89.6%	2	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
89.6%	2	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes19.0ms (0.2%)

Memory

-3.8MiB live, 37.1MiB allocated

Counts

22 → 2

Calls

Call 1

Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) x))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) #s(approx (* (* x x) (* x (* x (+ (* x (* x 1/720)) 1/24)))) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) 1/12) 1)) 2) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)) x (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/720 binary64)))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (+ (* (* x x) (* x 1/720)) (* x 1/24))) 1/2)) 1) (.f64 x (.f64 (.f64 x x) (.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x x))))))))

Outputs

(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))

(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))))

Calls

3 calls:

6.0ms	x
6.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
89.6%	2	`x`
89.6%	2	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
89.6%	2	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes17.0ms (0.2%)

Memory

-5.0MiB live, 34.5MiB allocated

Counts

20 → 1

Calls

Call 1

Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) x))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) #s(approx (* (* x x) (* x (* x (+ (* x (* x 1/720)) 1/24)))) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) 1/12) 1)) 2) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)) x (fma.f64 x x #s(literal 2 binary64)))))

Outputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))

Calls

3 calls:

6.0ms	x
5.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
86.6%	1	`x`
86.6%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
86.6%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes11.0ms (0.1%)

Memory

23.2MiB live, 23.2MiB allocated

Counts

11 → 2

Calls

Call 1

Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) x))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) #s(approx (* (* x x) (* x (* x (+ (* x (* x 1/720)) 1/24)))) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) 1/12) 1)) 2) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))))))

Outputs

(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))))))

#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))

Calls

3 calls:

4.0ms	x
3.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
3.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
86.5%	2	`x`
86.5%	2	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
86.5%	2	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes11.0ms (0.1%)

Memory

-17.8MiB live, 21.8MiB allocated

Counts

10 → 2

Calls

Call 1

Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) x))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) #s(approx (* (* x x) (* x (* x (+ (* x (* x 1/720)) 1/24)))) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) 1/12) 1)) 2) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))

Outputs

(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))

#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))

Calls

3 calls:

4.0ms	x
3.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
3.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
86.5%	2	`x`
86.5%	2	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
86.5%	2	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes6.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))

Outputs
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))

Calls

3 calls:

2.0ms	x
2.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
79.8%	1	`x`
79.8%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
79.8%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes6.0ms (0.1%)

Memory

-27.5MiB live, 12.1MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))

#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))

(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))

Outputs

#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))

(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))

Calls

3 calls:

2.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2.0ms	x
1.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
79.8%	2	`x`
79.8%	2	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
79.8%	2	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes4.0ms (0%)

Memory

10.2MiB live, 10.2MiB allocated

Accuracy

Total -0.3b remaining (-1.2%)

Threshold costs -0.3b (-1.2%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))

Outputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))

Calls

3 calls:

1.0ms	x
1.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
54.8%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
54.8%	1	`x`
54.8%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch8.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
7.0ms	7.184436563884468e+67	2.386665363659019e+81

Samples

4.0ms

80×

valid

Compiler

Compiled 317 to 136 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-exp: 1.0ms (45.3% of total)

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

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

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

exact: 0.0ms (0% of total)

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

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

bsearch14.0ms (0.1%)

Memory

-14.8MiB live, 25.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	5.273649640893892e+50	2.4617577373709847e+56

Samples

6.0ms

144×

valid

Compiler

Compiled 516 to 272 computations (47.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-exp: 2.0ms (49.7% of total)

ival-div: 1.0ms (24.8% of total)

ival-add: 1.0ms (24.8% of total)

ival-neg: 1.0ms (24.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.137722228188094	3.1444625932393896e+199

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.137722228188094	3.1444625932393896e+199

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.360387318011065e-200	0.9355752462260611

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.360387318011065e-200	0.9355752462260611

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.137722228188094	3.1444625932393896e+199

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify13.0ms (0.1%)

Memory

-17.2MiB live, 22.2MiB allocated

Algorithm

1×	egg-herbie

Rules

52×	`*-commutative_binary64`
4×	`+-commutative_binary64`
2×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	555
1	168	555
2	170	555
3	171	555

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(if (<=.f64 x #s(literal 199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))))))))
(if (<=.f64 x #s(literal 2399999999999999850807477239976319853127394232631296 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64)))))) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/720 binary64))))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) #s(approx (+ ( x (* x (+ (* (* x x) 1/720) 1/24))) 1/2) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x #s(approx ( x (+ (* x (* x 1/720)) 1/24)) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))))))))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/720 binary64))))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #s(literal 8618206661096855/86182066610968551542636378241108028056376767329454880514019834315878107616003372189510312530372009184902888961739623919010110377987011442493486117202360415845666384627768436296772219009176743399772868636439042064384 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))))) #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #s(literal 8618206661096855/86182066610968551542636378241108028056376767329454880514019834315878107616003372189510312530372009184902888961739623919010110377987011442493486117202360415845666384627768436296772219009176743399772868636439042064384 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))))))) #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ ( x x) 2) (*.f64 x x)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))

Outputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(if (<=.f64 x #s(literal 199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))))))))
(if (<=.f64 x #s(literal 199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))))))))
(if (<=.f64 x #s(literal 2399999999999999850807477239976319853127394232631296 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64)))))) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/720 binary64))))))))))
(if (<=.f64 x #s(literal 2399999999999999850807477239976319853127394232631296 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -16 binary64)) (.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64)))))) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ ( (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/720 binary64))))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) #s(approx (+ ( x (* x (+ (* (* x x) 1/720) 1/24))) 1/2) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x #s(approx ( x (+ (* x (* x 1/720)) 1/24)) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))))))))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/720 binary64))))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #s(literal 8618206661096855/86182066610968551542636378241108028056376767329454880514019834315878107616003372189510312530372009184902888961739623919010110377987011442493486117202360415845666384627768436296772219009176743399772868636439042064384 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))))) #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #s(literal 8618206661096855/86182066610968551542636378241108028056376767329454880514019834315878107616003372189510312530372009184902888961739623919010110377987011442493486117202360415845666384627768436296772219009176743399772868636439042064384 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))))))) #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ ( x x) 2) (*.f64 x x)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))

soundness2.0s (20.5%)

Memory

-7.1MiB live, 1 360.2MiB allocated

Rules

16 802×	`lower-fma.f64`
16 802×	`lower-fma.f32`
15 580×	`lower-fma.f64`
15 580×	`lower-fma.f32`
11 892×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	87	1158
1	215	1158
2	551	1154
3	1551	1154
4	2845	1154
5	5651	1154
6	7716	1154
0	8370	1061
0	112	2198
1	338	2150
2	788	2128
3	3202	2128
4	5972	2128
5	6995	2128
0	8031	1944
0	38	294
0	64	282
1	294	275
2	2185	275
0	8264	265
0	122	2768
1	367	2736
2	870	2710
3	2174	2706
4	4942	2706
5	7094	2706
0	8078	2495
0	66	307
1	162	306
2	359	302
3	921	302
4	1406	302
5	2068	302
6	3397	302
7	4663	302
8	5970	302
9	7535	302
0	8007	280
0	7	21
0	12	17
1	42	15
2	257	15
3	2370	15
0	9064	15
0	23	113
0	35	97
1	145	97
2	945	97
0	8519	97

Stop Event

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

Compiler

Compiled 818 to 399 computations (51.2% saved)

preprocess305.0ms (3.1%)

Memory: 20.4MiB live, 218.1MiB allocated
Remove: (abs x)
Compiler: Compiled 746 to 200 computations (73.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	9	16
1	28	16
2	57	16
3	100	16
4	137	16
5	181	16
6	209	16
7	217	16
8	223	16
9	233	16
10	241	16
0	7	8
0	12	8
1	19	8
2	25	8
3	29	8
4	33	8
5	39	8
6	46	8
7	50	8
8	52	8
9	53	8
0	53	8

Iter	Nodes	Cost
0	23	128
0	35	128
1	61	128
2	100	116
3	140	116
4	151	116
5	157	116
6	206	116
7	265	116
8	274	116
9	280	116
10	284	116
11	293	116
12	319	116
13	320	116
0	320	116

Iter	Nodes	Cost
0	9	16
1	28	16
2	57	16
3	100	16
4	137	16
5	181	16
6	209	16
7	217	16
8	223	16
9	233	16
10	241	16
0	7	8
0	12	8
1	19	8
2	25	8
3	29	8
4	33	8
5	39	8
6	46	8
7	50	8
8	52	8
9	53	8
0	53	8

Iter	Nodes	Cost
0	23	128
0	35	128
1	61	128
2	100	116
3	140	116
4	151	116
5	157	116
6	206	116
7	265	116
8	274	116
9	280	116
10	284	116
11	293	116
12	319	116
13	320	116
0	320	116

analyze0.0ms (0%)

sample771.0ms (8%)

preprocess22.0ms (0.2%)

explain84.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify9.0ms (0.1%)

localize51.0ms (0.5%)

series17.0ms (0.2%)

simplify420.0ms (4.3%)

rewrite317.0ms (3.3%)

eval78.0ms (0.8%)

prune152.0ms (1.6%)

simplify20.0ms (0.2%)

localize75.0ms (0.8%)

series11.0ms (0.1%)

simplify304.0ms (3.1%)

rewrite737.0ms (7.6%)

eval177.0ms (1.8%)

prune136.0ms (1.4%)

simplify344.0ms (3.5%)

localize139.0ms (1.4%)

series19.0ms (0.2%)

simplify553.0ms (5.7%)

rewrite626.0ms (6.5%)

eval132.0ms (1.4%)

prune178.0ms (1.8%)

simplify343.0ms (3.5%)

localize224.0ms (2.3%)

series22.0ms (0.2%)

simplify276.0ms (2.9%)

rewrite400.0ms (4.1%)

eval210.0ms (2.2%)

prune267.0ms (2.8%)

regimes43.0ms (0.4%)

regimes45.0ms (0.5%)

regimes17.0ms (0.2%)

regimes26.0ms (0.3%)

regimes21.0ms (0.2%)

regimes20.0ms (0.2%)

regimes19.0ms (0.2%)

regimes17.0ms (0.2%)

regimes11.0ms (0.1%)

regimes11.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

bsearch8.0ms (0.1%)

bsearch14.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify13.0ms (0.1%)

soundness2.0s (20.5%)

preprocess305.0ms (3.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	16
1	28	16
2	57	16
3	100	16
4	137	16
5	181	16
6	209	16
7	217	16
8	223	16
9	233	16
10	241	16
0	7	8
0	12	8
1	19	8
2	25	8
3	29	8
4	33	8
5	39	8
6	46	8
7	50	8
8	52	8
9	53	8
0	53	8

Iter	Nodes	Cost
0	23	128
0	35	128
1	61	128
2	100	116
3	140	116
4	151	116
5	157	116
6	206	116
7	265	116
8	274	116
9	280	116
10	284	116
11	293	116
12	319	116
13	320	116
0	320	116