Metrics for Hyperbolic secant

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory

-38.1MiB live, 1.5MiB 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)

sample700.0ms (8.1%)

Memory

2.0MiB live, 1 252.6MiB allocated

Samples

410.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 268.0ms

ival-exp: 127.0ms (47.4% of total)

ival-div: 51.0ms (19% of total)

ival-add: 39.0ms (14.6% of total)

ival-neg: 36.0ms (13.4% of total)

ival-true: 6.0ms (2.2% of total)

exact: 5.0ms (1.9% of total)

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

Bogosity

explain86.0ms (1%)

Memory

-0.3MiB live, 198.1MiB 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	(334.54995237256026)	-	`(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 59 to 25 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-exp: 7.0ms (44.3% of total)

ival-div: 3.0ms (19% of total)

ival-add: 2.0ms (12.6% of total)

ival-neg: 2.0ms (12.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess55.0ms (0.6%)

Memory

3.1MiB live, 42.0MiB 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))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))

Symmetry

(abs x)

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB 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)

simplify5.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(exp.f64 (neg.f64 x))
cost-diff	0	(exp.f64 x)
cost-diff	0	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
cost-diff	0	(/.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))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
#s(literal 2 binary64)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)

localize23.0ms (0.3%)

Memory

10.1MiB live, 49.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 x)
accuracy	0	(exp.f64 (neg.f64 x))
accuracy	0	(exp.f64 x)
accuracy	0.0078125	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Samples

15.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

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

ival-exp: 5.0ms (57.5% of total)

ival-div: 2.0ms (23% of total)

ival-add: 1.0ms (11.5% of total)

ival-neg: 1.0ms (11.5% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

-34.1MiB live, 8.7MiB 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
1.0ms	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 x) (exp (neg x)))

simplify175.0ms (2%)

Memory

37.2MiB live, 270.4MiB 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 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.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 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #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 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #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)

rewrite383.0ms (4.4%)

Memory

-4.3MiB live, 347.8MiB allocated

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

eval54.0ms (0.6%)

Memory: -2.9MiB live, 118.4MiB allocated
Compiler: Compiled 8 906 to 1 532 computations (82.8% saved)

prune70.0ms (0.8%)

Memory

10.3MiB live, 171.2MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	480	8	488
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	481	8	489

Accuracy

100.0%

Counts

489 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.2%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
	85.9%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
▶	75.4%	(/.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))
▶	50.8%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
	50.8%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
	50.8%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
▶	51.3%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))

Compiler

Compiled 180 to 98 computations (45.6% saved)

simplify279.0ms (3.2%)

Memory

-30.2MiB live, 138.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
cost-diff	0	(fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 x x #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
cost-diff	0	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
cost-diff	0	(cosh.f64 x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (cosh.f64 x))

Rules

10 200×	`lower-fma.f32`
10 186×	`lower-fma.f64`
2 912×	`lower-*.f32`
2 910×	`lower-*.f64`
2 424×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	204
0	47	204
1	80	204
2	136	196
3	347	196
4	910	193
5	1508	193
6	1736	193
7	2202	193
8	2540	193
9	2921	193
10	3332	193
11	3994	193
12	6325	193
13	7381	193
14	7581	193
15	7678	193
16	7699	193
17	7700	193
18	7856	193
0	8046	190

Stop Event

1×	iter limit
1×	node limit
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)
(/.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 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64))
(fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64))
#s(literal -61/720 binary64)
(*.f64 x 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 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
#s(literal 1/360 binary64)
(*.f64 x x)
x
#s(literal 1/12 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)
(/.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 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64))
(fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64))
(fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64))
#s(literal -61/720 binary64)
(*.f64 x 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 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
#s(literal 1/360 binary64)
(*.f64 x x)
x
#s(literal 1/12 binary64)
#s(literal 1 binary64)

localize182.0ms (2.1%)

Memory

31.3MiB live, 186.8MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0390625	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))
accuracy	0.0625	(fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))
accuracy	0.07421875	(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
accuracy	5.623260978333748	#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
accuracy	0.04296875	(fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
accuracy	0.046875	(fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64))
accuracy	0.09765625	(fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64))
accuracy	31.51375764813698	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy	0	(fma.f64 x x #s(literal 2 binary64))
accuracy	0.0078125	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
accuracy	15.721532162192844	#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
accuracy	31.163952420907325	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
accuracy	0	(cosh.f64 x)
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (cosh.f64 x))

Samples

110.0ms

256×

valid

Compiler

Compiled 156 to 31 computations (80.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-cosh: 25.0ms (33.2% of total)

ival-add: 19.0ms (25.2% of total)

const: 12.0ms (15.9% of total)

ival-mult: 10.0ms (13.3% of total)

ival-exp: 4.0ms (5.3% of total)

ival-div: 3.0ms (4% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory

-16.3MiB live, 22.7MiB allocated

Counts

15 → 180

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 (/.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 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (patch (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (patch (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 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 (/.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 (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#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 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) (taylor 0 x) (#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 (+ 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) #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 (/ 2 (+ (exp x) (exp (neg x)))) (taylor inf x) (#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>) () ())) ())
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#s(alt (+ (exp x) (exp (neg x))) (taylor inf x) (#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp x) (exp (neg x))) (taylor inf x) (#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ 2 (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/360 (pow x 6)) (taylor inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6))))))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/360 (pow x 6)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6))))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/12 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/360 (pow x 4)) (taylor inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/360 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/12 (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (patch (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/12 (* 1/360 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (patch (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/12 (* 1/360 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (patch (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/12 (* 1/360 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (patch (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/360 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (patch (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (patch (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (patch (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (patch (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/360 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (patch (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (patch (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (patch (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (patch (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())

Calls

45 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	(+ (* (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (* x x)) 1)
2.0ms	x	@	inf	(/ 1 (cosh x))
1.0ms	x	@	inf	(+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1)
1.0ms	x	@	-inf	(/ 1 (cosh x))
0.0ms	x	@	inf	(+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2)

simplify278.0ms (3.2%)

Memory

9.8MiB live, 212.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 278×	`lower-fma.f64`
10 278×	`lower-fma.f32`
3 854×	`lower-*.f64`
3 854×	`lower-*.f32`
2 394×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	1526
1	274	1526
2	683	1510
3	1829	1502
4	3189	1498
5	6038	1498
0	8095	1357

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

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))))
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) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(* -61/720 (pow x 6))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4)))))
(* -61/720 (pow x 6))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4)))))
-1/2
(- (* 5/24 (pow x 2)) 1/2)
(- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)
(- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)
(* -61/720 (pow x 4))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(* -61/720 (pow x 4))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
5/24
(+ 5/24 (* -61/720 (pow x 2)))
(+ 5/24 (* -61/720 (pow x 2)))
(+ 5/24 (* -61/720 (pow x 2)))
(* -61/720 (pow x 2))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* -61/720 (pow x 2))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
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) (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 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 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 (fma.f64 (.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.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) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 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 (fma.f64 (.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.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 (fma.f64 (.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.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 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.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 (fma.f64 (.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.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 (fma.f64 (.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* -61/720 (pow x 6))
(.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal -61/720 binary64))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(.f64 (-.f64 (/.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 61/720 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x)))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(fma.f64 (fma.f64 (.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64)) (.f64 x x) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal -61/720 binary64)))
(* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4)))))
(fma.f64 (fma.f64 (.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64)) (.f64 x x) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x)) #s(literal -61/720 binary64) #s(literal 1 binary64)))
(* -61/720 (pow x 6))
(.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal -61/720 binary64))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(.f64 (-.f64 (/.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 61/720 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x)))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(fma.f64 (fma.f64 (.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64)) (.f64 x x) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal -61/720 binary64)))
(* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4)))))
(fma.f64 (fma.f64 (.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64)) (.f64 x x) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x)) #s(literal -61/720 binary64) #s(literal 1 binary64)))
-1/2
#s(literal -1/2 binary64)
(- (* 5/24 (pow x 2)) 1/2)
(fma.f64 (*.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64))
(- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64))
(- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64))
(* -61/720 (pow x 4))
(.f64 (.f64 (.f64 x x) x) (.f64 #s(literal -61/720 binary64) x))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(.f64 (.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) x) x)
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64))
(* -61/720 (pow x 4))
(.f64 (.f64 (.f64 x x) x) (.f64 #s(literal -61/720 binary64) x))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(.f64 (.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) x) x)
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64))
5/24
#s(literal 5/24 binary64)
(+ 5/24 (* -61/720 (pow x 2)))
(fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64))
(+ 5/24 (* -61/720 (pow x 2)))
(fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64))
(+ 5/24 (* -61/720 (pow x 2)))
(fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64))
(* -61/720 (pow x 2))
(.f64 #s(literal -61/720 binary64) (.f64 x x))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64))
(* -61/720 (pow x 2))
(.f64 #s(literal -61/720 binary64) (.f64 x x))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 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 (fma.f64 (.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.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 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.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 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))
(* 1/360 (pow x 6))
(.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) x))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))
(* 1/360 (pow x 6))
(.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) x))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/12 (pow x 2)))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))
(* 1/360 (pow x 4))
(.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/360 binary64) x))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))
(* 1/360 (pow x 4))
(.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/360 binary64) x))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))

rewrite345.0ms (4%)

Memory

13.2MiB live, 281.7MiB allocated

Rules

4 684×	`lower-*.f32`
4 682×	`lower-*.f64`
4 628×	`lower-/.f32`
4 622×	`lower-/.f64`
3 870×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	183
0	47	167
1	208	167
2	1420	167
0	8101	167

Stop Event

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

Counts

15 → 395

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

Outputs
(.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) (.f64 #s(literal 2 binary64) (sinh.f64 x)))
(.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (cosh.f64 x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (cosh.f64 x))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(pow.f64 (exp.f64 (log.f64 (cosh.f64 x))) #s(literal -1 binary64))
(pow.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (cosh.f64 x))) #s(literal -1 binary64))
(pow.f64 (cosh.f64 x) #s(literal -1 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))))) (.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)))))
(/.f64 (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) (.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 (+.f64 x x) (+.f64 x x))) (pow.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) #s(literal 2 binary64)))) (.f64 (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal 3 binary64)))) (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x)))))
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (pow.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) #s(literal 3 binary64)))) (.f64 (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 (+.f64 x x) (+.f64 x x))) (-.f64 (pow.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) #s(literal 2 binary64)) (.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x)))))))
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)))))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (cosh.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 x)))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (cosh.f64 x))))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(neg.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))))
(.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))
(.f64 (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))))))
(*.f64 (neg.f64 (cosh.f64 x)) #s(literal -1 binary64))
(.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (cosh.f64 x) #s(literal 1/2 binary64)))
(.f64 (cosh.f64 x) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(*.f64 (cosh.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cosh.f64 x))
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal -1 binary64))
(pow.f64 (cosh.f64 x) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (cosh.f64 x))) #s(literal 1 binary64))
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(/.f64 (fma.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/1728 binary64)) (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/4320 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (-.f64 #s(literal 1/144 binary64) (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) x) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/144 binary64) (-.f64 (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal 1/4320 binary64)))) (fma.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x)) #s(literal 1/1728 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))))
(fma.f64 (*.f64 #s(literal 1/360 binary64) x) x #s(literal 1/12 binary64))
(fma.f64 (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal -1/12 binary64))) (neg.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal -1/12 binary64)))))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(fma.f64 x (*.f64 #s(literal 1/360 binary64) x) #s(literal 1/12 binary64))
(-.f64 (/.f64 #s(literal 1/144 binary64) (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (.f64 x x)))))
(-.f64 (/.f64 (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal -1/12 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal -1/12 binary64))) (neg.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal -1/12 binary64)))))
(+.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) #s(literal 1/12 binary64))
(+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (.f64 x x)))

eval213.0ms (2.5%)

Memory: -9.0MiB live, 193.8MiB allocated
Compiler: Compiled 18 533 to 1 582 computations (91.5% saved)

prune446.0ms (5.2%)

Memory

-20.9MiB live, 216.8MiB allocated

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	560	15	575
Fresh	2	1	3
Picked	1	4	5
Done	0	0	0
Total	563	20	583

Accuracy

100.0%

Counts

583 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.2%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/360 binary64) x) x #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
	67.0%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/144 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal -1/12 binary64))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
▶	91.0%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
	85.9%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
▶	58.2%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1 binary64))) (*.f64 x x) #s(literal 2 binary64))))
	58.2%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x))) (*.f64 x x) #s(literal 2 binary64))))
▶	91.2%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
	59.7%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1 binary64))) #s(literal 2 binary64))))
	90.9%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 #s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/360 binary64) x))) (*.f64 x x) #s(literal 2 binary64))))
✓	75.4%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
	52.5%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x) #s(literal -16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64))))))
	43.2%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))))
	43.0%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)))))
▶	42.9%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) x)))))
	27.7%	(/.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))
✓	50.8%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
	50.8%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
▶	50.8%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓	51.3%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))

Compiler

Compiled 802 to 369 computations (54% saved)

simplify189.0ms (2.2%)

Memory

0.9MiB live, 209.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1 binary64))) (*.f64 x x) #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1 binary64))) (*.f64 x x) #s(literal 2 binary64))))
cost-diff	320	(.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x))
cost-diff	3456	(/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1 binary64)))
cost-diff	0	(fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
cost-diff	0	(.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) x))
cost-diff	0	#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) x)))
cost-diff	0	#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) x))))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) x)))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
cost-diff	128	(+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64))

Rules

10 666×	`lower-fma.f32`
10 652×	`lower-fma.f64`
4 614×	`lower-*.f32`
4 598×	`lower-*.f64`
2 792×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	648
0	80	557
1	144	536
2	288	509
3	840	509
4	2517	509
5	3604	509
6	5356	509
0	8381	478

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
(fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
(+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64))
(.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
(.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
#s(literal 1/360 binary64)
(*.f64 x x)
x
#s(literal 1/12 binary64)
#s(literal 1 binary64)
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) x)))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) x))))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) x)))
(.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) x))
(.f64 (.f64 x x) x)
(*.f64 x x)
x
(.f64 (.f64 #s(literal 1/360 binary64) (*.f64 x x)) x)
(.f64 #s(literal 1/360 binary64) (.f64 x x))
#s(literal 1/360 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
(fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64))
#s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x)))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
#s(literal 1/360 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1 binary64))) (*.f64 x x) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1 binary64))) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1 binary64))) (*.f64 x x) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1 binary64)))
(fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x) #s(literal -1 binary64))
(.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x))
(.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
#s(literal 1/360 binary64)
(*.f64 x x)
x
#s(literal 1/12 binary64)
#s(literal -1 binary64)
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1 binary64))

Outputs
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))
(.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x)
(.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x)
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
#s(literal 1/360 binary64)
(*.f64 x x)
x
#s(literal 1/12 binary64)
#s(literal 1 binary64)
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 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 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) #s(literal 1/360 binary64)))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) x))))
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) #s(literal 1/360 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) x)))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) #s(literal 1/360 binary64)))
(.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) x))
(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) #s(literal 1/360 binary64))
(.f64 (.f64 x x) x)
(*.f64 x x)
x
(.f64 (.f64 #s(literal 1/360 binary64) (*.f64 x x)) x)
(.f64 (.f64 (*.f64 x x) #s(literal 1/360 binary64)) x)
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
#s(literal 1/360 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
(fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (*.f64 x x) #s(literal 1 binary64))
#s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x)))
#s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 (.f64 x x) #s(literal 1/360 binary64)))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
#s(literal 1/360 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1 binary64))) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1 binary64))) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1 binary64))) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1 binary64)))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x) #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/129600 binary64) (*.f64 x x) #s(literal 1/2160 binary64)) #s(literal 1/144 binary64)) #s(literal -1 binary64))
(.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x))
(.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/129600 binary64) (.f64 x x) #s(literal 1/2160 binary64)) #s(literal 1/144 binary64)) (.f64 x x))
(.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x)
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
#s(literal 1/360 binary64)
(*.f64 x x)
x
#s(literal 1/12 binary64)
#s(literal -1 binary64)
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal -1 binary64))

localize207.0ms (2.4%)

Memory

1.5MiB live, 281.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.15072250976844204	(.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x))
accuracy	0.19921875	(.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)
accuracy	5.623260978333748	#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1 binary64))) (*.f64 x x) #s(literal 2 binary64)))
accuracy	22.612865661107488	(/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1 binary64)))
accuracy	0.0625	(fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64))
accuracy	0.15234375	(.f64 #s(literal 1/360 binary64) (.f64 x x))
accuracy	5.623260978333748	#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
accuracy	31.151505047050293	#s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x)))
accuracy	0.0859375	(.f64 (.f64 x x) x)
accuracy	0.15234375	(.f64 #s(literal 1/360 binary64) (.f64 x x))
accuracy	5.623260978333748	#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) x))))
accuracy	31.37315914355933	#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) x)))
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
accuracy	31.5114810943689	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy	0.0703125	(.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
accuracy	0.07421875	(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
accuracy	0.19921875	(.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)
accuracy	5.623260978333748	#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))

Samples

106.0ms

256×

valid

Compiler

Compiled 417 to 38 computations (90.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-mult: 29.0ms (35.8% of total)

ival-exp: 23.0ms (28.4% of total)

const: 14.0ms (17.3% of total)

ival-add: 11.0ms (13.6% of total)

ival-div: 3.0ms (3.7% of total)

exact: 1.0ms (1.2% of total)

ival-neg: 1.0ms (1.2% of total)

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

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

series52.0ms (0.6%)

Memory

13.0MiB live, 51.8MiB allocated

Counts

25 → 300

Calls

Call 1

Inputs
#s(alt (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (patch (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)) (patch (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (patch #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) #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 (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) x))))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) x))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) x)))) (patch #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) x)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) x))) (patch #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) x))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) x)) (patch (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ ( 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (patch (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.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 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1 binary64))) (.f64 x x) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1 binary64))) (.f64 x x) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1 binary64))) (.f64 x x) #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1 binary64))) (.f64 x x) #s(literal 2 binary64))) #<representation binary64>) () ())
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#s(alt (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (patch (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #<representation binary64>) () ())
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#s(alt (.f64 #s(literal 1/360 binary64) (.f64 x x)) (patch (.f64 #s(literal 1/360 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (patch #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (patch (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/12 (pow x 2))) (taylor 0 x) (#s(alt (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (patch (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) (taylor 0 x) (#s(alt (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (patch (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) (taylor 0 x) (#s(alt (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (patch (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/360 (pow x 4)) (taylor inf x) (#s(alt (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (patch (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (patch (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (patch (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/360 (pow x 4)) (taylor -inf x) (#s(alt (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (patch (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (patch (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (patch (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (patch (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))) #<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) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 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 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (patch #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (patch #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 1/360 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (patch #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (patch #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (patch #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (patch #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) #<representation binary64>) () ())) ())

Calls

75 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(* (* (* x x) x) (* (* 1/360 (* x x)) x))
0.0ms	x	@	inf	(/ (+ (* (* (* (+ (* 1/360 (* x x)) 1/12) x) (* (+ (* 1/360 (* x x)) 1/12) x)) (* x x)) -1) (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) -1))
0.0ms	x	@	0	(/ (+ (* (* (* (+ (* 1/360 (* x x)) 1/12) x) (* (+ (* 1/360 (* x x)) 1/12) x)) (* x x)) -1) (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) -1))
0.0ms	x	@	-inf	(* (* x x) x)
0.0ms	x	@	inf	(* (* (* x x) x) (* (* 1/360 (* x x)) x))

simplify138.0ms (1.6%)

Memory

-22.8MiB live, 219.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 440×	`lower-fma.f64`
8 440×	`lower-fma.f32`
3 132×	`lower-*.f64`
3 132×	`lower-*.f32`
2 226×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	2416
1	264	2416
2	637	2376
3	1618	2376
4	4462	2364
5	6753	2364
0	8193	2151

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

Inputs
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 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 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
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) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
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 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/144 (pow x 2))
(* (pow x 2) (+ 1/144 (* 1/2160 (pow x 2))))
(* (pow x 2) (+ 1/144 (* (pow x 2) (+ 1/2160 (* 1/129600 (pow x 2))))))
(* (pow x 2) (+ 1/144 (* (pow x 2) (+ 1/2160 (* 1/129600 (pow x 2))))))
(* 1/129600 (pow x 6))
(* (pow x 6) (+ 1/129600 (* 1/2160 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/129600 (+ (/ 1/144 (pow x 4)) (* 1/2160 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/129600 (+ (/ 1/144 (pow x 4)) (* 1/2160 (/ 1 (pow x 2))))))
(* 1/129600 (pow x 6))
(* (pow x 6) (+ 1/129600 (* 1/2160 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/129600 (+ (/ 1/144 (pow x 4)) (* 1/2160 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/129600 (+ (/ 1/144 (pow x 4)) (* 1/2160 (/ 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)))
(* 1/12 x)
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(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)
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/12 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))
(* 1/360 (pow x 4))
(.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) x)
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))
(* 1/360 (pow x 4))
(.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) x)
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 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 (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.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 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x #s(literal 2 binary64))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+ (exp x) (exp (neg x)))
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(fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/12 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))
(* 1/360 (pow x 4))
(.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) x)
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))
(* 1/360 (pow x 4))
(.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) x)
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))
(* 1/144 (pow x 2))
(.f64 #s(literal 1/144 binary64) (.f64 x x))
(* (pow x 2) (+ 1/144 (* 1/2160 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal 1/2160 binary64) (*.f64 x x) #s(literal 1/144 binary64)) x) x)
(* (pow x 2) (+ 1/144 (* (pow x 2) (+ 1/2160 (* 1/129600 (pow x 2))))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 x x) #s(literal 1/2160 binary64)) (.f64 x x) #s(literal 1/144 binary64)) x) x)
(* (pow x 2) (+ 1/144 (* (pow x 2) (+ 1/2160 (* 1/129600 (pow x 2))))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 x x) #s(literal 1/2160 binary64)) (.f64 x x) #s(literal 1/144 binary64)) x) x)
(* 1/129600 (pow x 6))
(.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/129600 binary64)) (.f64 (.f64 x x) x))
(* (pow x 6) (+ 1/129600 (* 1/2160 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 x x) #s(literal 1/2160 binary64)) x) (.f64 (*.f64 x x) x))
(* (pow x 6) (+ 1/129600 (+ (/ 1/144 (pow x 4)) (* 1/2160 (/ 1 (pow x 2))))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 x x) #s(literal 1/2160 binary64)) (.f64 x x) #s(literal 1/144 binary64)) x) x)
(* (pow x 6) (+ 1/129600 (+ (/ 1/144 (pow x 4)) (* 1/2160 (/ 1 (pow x 2))))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 x x) #s(literal 1/2160 binary64)) (.f64 x x) #s(literal 1/144 binary64)) x) x)
(* 1/129600 (pow x 6))
(.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/129600 binary64)) (.f64 (.f64 x x) x))
(* (pow x 6) (+ 1/129600 (* 1/2160 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 x x) #s(literal 1/2160 binary64)) x) (.f64 (*.f64 x x) x))
(* (pow x 6) (+ 1/129600 (+ (/ 1/144 (pow x 4)) (* 1/2160 (/ 1 (pow x 2))))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 x x) #s(literal 1/2160 binary64)) (.f64 x x) #s(literal 1/144 binary64)) x) x)
(* (pow x 6) (+ 1/129600 (+ (/ 1/144 (pow x 4)) (* 1/2160 (/ 1 (pow x 2))))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 x x) #s(literal 1/2160 binary64)) (.f64 x x) #s(literal 1/144 binary64)) 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 (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.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 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x #s(literal 2 binary64))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)
(* x (+ 1/12 (* 1/360 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)
(* x (+ 1/12 (* 1/360 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)
(* 1/360 (pow x 3))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/360 binary64))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)
(* 1/360 (pow x 3))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/360 binary64))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
(* 1/360 (pow x 4))
(.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) x)
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
(* 1/360 (pow x 4))
(.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) x)
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))

rewrite210.0ms (2.4%)

Memory

20.1MiB live, 448.3MiB allocated

Rules

5 642×	`lower-fma.f32`
5 628×	`lower-fma.f64`
4 726×	`lower-/.f32`
4 718×	`lower-/.f64`
4 422×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	518
0	80	406
1	327	404
2	2039	388
0	8454	378

Stop Event

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

Counts

25 → 608

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
(fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #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 (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) x)))))
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) x))))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) x)))
(.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) x))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
(fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64))
(/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1 binary64))) (*.f64 x x) #s(literal 2 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1 binary64))) (*.f64 x x) #s(literal 2 binary64)))
(.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(.f64 (.f64 x x) x)
#s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x)))

Outputs
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(.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) #s(literal 1 binary64)))
(.f64 x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) (.f64 #s(literal 1/12 binary64) (.f64 x x))) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) (.f64 #s(literal 1/12 binary64) (.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) (.f64 #s(literal 1/12 binary64) (.f64 x x)) (-.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x))) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) x) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) x) x) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) x) x) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) x) x) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) x) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (-.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) x) x) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) x) x)) (.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) x) x)))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/144 binary64)) (.f64 x x))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 1/1728 binary64)) (.f64 x x))) (neg.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/4320 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/144 binary64)))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 1/1728 binary64)))) (neg.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/4320 binary64))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/144 binary64)) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 1/1728 binary64)) (.f64 x x)) (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/4320 binary64)))))
(/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/144 binary64))) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))
(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 1/1728 binary64))) (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/4320 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)) (.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/144 binary64)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/4320 binary64)))) (.f64 (fma.f64 (.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 1/1728 binary64)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/144 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/4320 binary64)))) (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 1/1728 binary64)))))
(fma.f64 (.f64 x #s(literal 1/360 binary64)) (.f64 (.f64 x x) x) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) x) x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) (.f64 #s(literal 1/12 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1/12 binary64) (.f64 x x) (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x)))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/360 binary64)) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(fma.f64 (.f64 x x) #s(literal 1/12 binary64) (.f64 (.f64 (.f64 (*.f64 x x) #s(literal 1/360 binary64)) x) x))
(fma.f64 x (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) x) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) (.f64 #s(literal 1/12 binary64) (.f64 x x)))
(+.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)))
(+.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) x) x) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) x) x))
(.f64 (.f64 x #s(literal 1/360 binary64)) x)
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
#s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 (.f64 x x) #s(literal 1/360 binary64)))

eval210.0ms (2.4%)

Memory: 35.7MiB live, 580.0MiB allocated
Compiler: Compiled 54 908 to 3 283 computations (94% saved)

prune282.0ms (3.3%)

Memory

-34.3MiB live, 582.5MiB allocated

Pruning

26 alts after pruning (19 fresh and 7 done)

	Pruned	Kept	Total
New	1 392	13	1 405
Fresh	5	6	11
Picked	2	3	5
Done	0	4	4
Total	1 399	26	1 425

Accuracy

100.0%

Counts

1 425 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.2%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/360 binary64) x) x #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
	67.0%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/144 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
	85.9%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
✓	58.2%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1 binary64))) (*.f64 x x) #s(literal 2 binary64))))
	69.1%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1 binary64))) (.f64 x x) #s(literal 2 binary64))))
▶	91.2%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))) (*.f64 x x) #s(literal 2 binary64))))
	67.0%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)) (.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/144 binary64)) (.f64 x x)))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
✓	91.2%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
	85.9%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
▶	91.2%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
	59.5%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 #s(approx (+ ( 1/360 (* x x)) 1/12) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (.f64 x x)) (.f64 x x)) #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 (.f64 x x) #s(literal 1/360 binary64))) #s(literal -1 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ ( 1/360 (* x x)) 1/12) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (*.f64 x x) #s(literal -1 binary64))) #s(literal 2 binary64))))
✓	75.4%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
	52.5%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x) #s(literal -16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64))))))
	43.2%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))))
▶	42.9%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) x) x) x))))
	42.9%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) x) (.f64 x x)) x))))
	42.9%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) x) x) (.f64 x x)))))
	42.9%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
	43.0%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)))))
▶	42.9%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) x) x)))))
▶	27.7%	(/.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))
✓	50.8%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
	50.8%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
✓	50.8%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓	51.3%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))

Compiler

Compiled 972 to 478 computations (50.8% saved)

simplify240.0ms (2.8%)

Memory

26.9MiB live, 145.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))) (*.f64 x x) #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))) (*.f64 x x) #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))) (*.f64 x x) #s(literal 2 binary64))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))))
cost-diff	0	(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) x) x) x)
cost-diff	0	#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) x) x) x))
cost-diff	0	#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) x) x) x)))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) x) x) x))))
cost-diff	0	(.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) x) x))
cost-diff	0	#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) x) x)))
cost-diff	0	#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) x) x))))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) x) x)))))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (+ (* x x) 2) (*.f64 x x))
cost-diff	0	#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
cost-diff	0	(.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x)
cost-diff	0	(fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))

Rules

5 080×	`lower-fma.f32`
5 072×	`lower-fma.f64`
1 540×	`lower-*.f32`
1 516×	`lower-*.f64`
676×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	615
0	78	581
1	136	537
2	226	520
3	443	486
4	681	486
5	823	486
6	958	486
7	1266	486
8	1646	486
9	2036	486
10	2547	486
11	3066	486
12	3766	486
13	3917	486
14	3949	486
15	3966	486
16	4083	486
17	4127	486
18	4127	486
19	4127	486
20	4127	486
21	4131	486
0	4131	470

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)))
(fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))
(.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x)
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(*.f64 x x)
x
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
#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(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 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) x) x)))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) x) x))))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) x) x)))
(.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) x) x))
(.f64 (.f64 x x) x)
(*.f64 x x)
x
(.f64 (.f64 (*.f64 x #s(literal 1/360 binary64)) x) x)
(.f64 (.f64 x #s(literal 1/360 binary64)) x)
(*.f64 x #s(literal 1/360 binary64))
#s(literal 1/360 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) x) x) x))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) x) x) x)))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) x) x) x))
(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) x) x) x)
(.f64 (.f64 (.f64 (.f64 (*.f64 x x) x) #s(literal 1/360 binary64)) x) x)
(.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) x)
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/360 binary64))
(.f64 (.f64 x x) x)
(*.f64 x x)
x
#s(literal 1/360 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))) (*.f64 x x) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))) (*.f64 x x) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(*.f64 x x)
x
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)

Outputs
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)))
(fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))
(.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x)
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x)
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x)
(.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(*.f64 x x)
x
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
#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(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 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) x) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) #s(literal 1/360 binary64)))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) x) x))))
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) #s(literal 1/360 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) x) x)))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) #s(literal 1/360 binary64)))
(.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) x) x))
(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) #s(literal 1/360 binary64))
(.f64 (.f64 x x) x)
(*.f64 x x)
x
(.f64 (.f64 (*.f64 x #s(literal 1/360 binary64)) x) x)
(.f64 (.f64 (*.f64 #s(literal 1/360 binary64) x) x) x)
(.f64 (.f64 x #s(literal 1/360 binary64)) x)
(.f64 (.f64 #s(literal 1/360 binary64) x) x)
(*.f64 x #s(literal 1/360 binary64))
(*.f64 #s(literal 1/360 binary64) x)
#s(literal 1/360 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) x) x) x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) #s(literal 1/360 binary64)))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) x) x) x)))
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) #s(literal 1/360 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) x) x) x))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) #s(literal 1/360 binary64)))
(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) x) x) x)
(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) #s(literal 1/360 binary64))
(.f64 (.f64 (.f64 (.f64 (*.f64 x x) x) #s(literal 1/360 binary64)) x) x)
(.f64 (.f64 (.f64 (.f64 (*.f64 #s(literal 1/360 binary64) x) x) x) x) x)
(.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) x)
(.f64 (.f64 (.f64 (.f64 #s(literal 1/360 binary64) x) x) x) x)
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/360 binary64))
(.f64 (.f64 (*.f64 #s(literal 1/360 binary64) x) x) x)
(.f64 (.f64 x x) x)
(*.f64 x x)
x
#s(literal 1/360 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))))
(fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x)
(.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(*.f64 x x)
x
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)

localize143.0ms (1.7%)

Memory

-26.1MiB live, 333.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.07421875	(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
accuracy	0.16433849613768442	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))
accuracy	0.19921875	(.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x)
accuracy	5.623260978333748	#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))) (*.f64 x x) #s(literal 2 binary64)))
accuracy	0.0859375	(.f64 (.f64 x x) x)
accuracy	0.12109375	(.f64 (.f64 (*.f64 x x) x) #s(literal 1/360 binary64))
accuracy	5.623260978333748	#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) x) x) x)))
accuracy	31.13097164355933	#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) x) x) x))
accuracy	0.1171875	(.f64 (.f64 x #s(literal 1/360 binary64)) x)
accuracy	0.2421875	(*.f64 x #s(literal 1/360 binary64))
accuracy	5.623260978333748	#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) x) x))))
accuracy	31.13097164355933	#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) x) x)))
accuracy	0	(*.f64 x x)
accuracy	0.0078125	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
accuracy	15.721532162192844	#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))
accuracy	30.850362283141976	#s(approx (+ (* x x) 2) (*.f64 x x))
accuracy	0.03125	(.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x)
accuracy	0.07421875	(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
accuracy	0.19921875	(.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x)
accuracy	5.623260978333748	#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)))

Samples

72.0ms	255×	0	valid
2.0ms	1×	5	exit

Compiler

Compiled 373 to 41 computations (89% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 27.0ms (50.1% of total)

ival-add: 10.0ms (18.6% of total)

const: 6.0ms (11.1% of total)

ival-div: 5.0ms (9.3% of total)

ival-exp: 4.0ms (7.4% of total)

ival-neg: 1.0ms (1.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series42.0ms (0.5%)

Memory

3.9MiB live, 42.8MiB allocated

Counts

27 → 324

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)) (patch (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) 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 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) x) x))))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) x) x))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) x) x)))) (patch #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) x) x)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) x) x))) (patch #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) x) x))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) x) x)) (patch (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) x) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) x) x) x)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) x) x) x)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) x) x) x))) (patch #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) x) x) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) x) x) x)) (patch #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) x) x) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) x) x) x) (patch (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) x) x) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))) (.f64 x x) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))) (.f64 x x) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))) (.f64 x x) #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))) (.f64 x x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))) (.f64 x x) #s(literal 2 binary64)) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))) (.f64 x x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/360 binary64)) (patch (.f64 x #s(literal 1/360 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x #s(literal 1/360 binary64)) x) (patch (.f64 (.f64 x #s(literal 1/360 binary64)) x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) (patch (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)))) #<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) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 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 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) (taylor 0 x) (#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) (taylor 0 x) (#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/12 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 1/240 (pow x 2)) 1/12))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/240 (* -1/8640 (pow x 2)))) 1/12))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 360 (pow x 4)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- 360 (* 10800 (/ 1 (pow x 2)))) (pow x 4)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 360 (/ 194400 (pow x 4))) (* 10800 (/ 1 (pow x 2)))) (pow x 4)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 360 (/ 194400 (pow x 4))) (+ (* 10800 (/ 1 (pow x 2))) (* 1944000 (/ 1 (pow x 6))))) (pow x 4)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 360 (pow x 4)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- 360 (* 10800 (/ 1 (pow x 2)))) (pow x 4)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 360 (/ 194400 (pow x 4))) (* 10800 (/ 1 (pow x 2)))) (pow x 4)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 360 (/ 194400 (pow x 4))) (+ (* 10800 (/ 1 (pow x 2))) (* 1944000 (/ 1 (pow x 6))))) (pow x 4)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())

Calls

81 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(* x 1/360)
0.0ms	x	@	0	(* x 1/360)
0.0ms	x	@	inf	(/ 1 (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1))
0.0ms	x	@	inf	(* (* (* x x) x) 1/360)
0.0ms	x	@	-inf	(* (* (* x x) x) 1/360)

simplify140.0ms (1.6%)

Memory

10.1MiB live, 250.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 332×	`lower-fma.f64`
9 332×	`lower-fma.f32`
3 148×	`lower-*.f64`
3 148×	`lower-*.f32`
2 310×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	2488
1	337	2422
2	820	2422
3	2239	2422
4	5588	2406
0	8351	2211

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 323

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)))
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)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
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)))))
(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) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
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 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 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 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(* 1/12 x)
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (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
(+ 1 (* -1/12 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/240 (pow x 2)) 1/12)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/240 (* -1/8640 (pow x 2)))) 1/12)))
(/ 360 (pow x 4))
(/ (- 360 (* 10800 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 360 (/ 194400 (pow x 4))) (* 10800 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 360 (/ 194400 (pow x 4))) (+ (* 10800 (/ 1 (pow x 2))) (* 1944000 (/ 1 (pow x 6))))) (pow x 4))
(/ 360 (pow x 4))
(/ (- 360 (* 10800 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 360 (/ 194400 (pow x 4))) (* 10800 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 360 (/ 194400 (pow x 4))) (+ (* 10800 (/ 1 (pow x 2))) (* 1944000 (/ 1 (pow x 6))))) (pow x 4))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
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(/ (- (+ 360 (/ 194400 (pow x 4))) (+ (* 10800 (/ 1 (pow x 2))) (* 1944000 (/ 1 (pow x 6))))) (pow x 4))
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 194400 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 360 binary64)) (/.f64 #s(literal 10800 binary64) (.f64 x x))) (/.f64 #s(literal 1944000 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (.f64 (.f64 (.f64 x x) x) x))
(/ 360 (pow x 4))
(/.f64 #s(literal 360 binary64) (.f64 (.f64 (*.f64 x x) x) x))
(/ (- 360 (* 10800 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (-.f64 #s(literal 360 binary64) (/.f64 #s(literal 10800 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) x))
(/ (- (+ 360 (/ 194400 (pow x 4))) (* 10800 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 194400 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 360 binary64)) (/.f64 #s(literal 10800 binary64) (.f64 x x))) (.f64 (.f64 (*.f64 x x) x) x))
(/ (- (+ 360 (/ 194400 (pow x 4))) (+ (* 10800 (/ 1 (pow x 2))) (* 1944000 (/ 1 (pow x 6))))) (pow x 4))
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 194400 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 360 binary64)) (/.f64 #s(literal 10800 binary64) (.f64 x x))) (/.f64 #s(literal 1944000 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (.f64 (.f64 (.f64 x x) x) x))

rewrite215.0ms (2.5%)

Memory

-6.2MiB live, 420.3MiB allocated

Rules

11 216×	`lower-fma.f32`
11 208×	`lower-fma.f64`
5 516×	`lower-*.f32`
5 492×	`lower-*.f64`
2 982×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	517
0	78	443
1	302	427
2	1254	382
0	8646	366

Stop Event

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

Counts

27 → 725

Calls

Call 1

Inputs
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)))
(fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))
(.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) 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 x x)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) x) x)))))
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) x) x))))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) x) x)))
(.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) x) x))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) x) x) x))))
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) x) x) x)))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) x) x) x))
(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) x) x) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))) (*.f64 x x) #s(literal 2 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))) (*.f64 x x) #s(literal 2 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(*.f64 x #s(literal 1/360 binary64))
(.f64 (.f64 x #s(literal 1/360 binary64)) x)
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/360 binary64))
(.f64 (.f64 x x) x)
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))

Outputs
(.f64 (pow.f64 (.f64 #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (.f64 #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)))))
(pow.f64 (.f64 #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (neg.f64 #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (.f64 #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))))
(neg.f64 (/.f64 #s(literal -2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)))))
(.f64 #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)))
(/.f64 (neg.f64 #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)))))
(neg.f64 (neg.f64 #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64)))))
(.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x) x) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (neg.f64 x) #s(literal -1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x) x) (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))) x #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x) x) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x x) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x)))))))
(.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal -2 binary64))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x) x) (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))) x #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal -2 binary64))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x) x) (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))) x #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x) x) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x x) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x))))))
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(+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) x) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)))) x #s(literal 1 binary64)))) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) x) x) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) x) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)))) x #s(literal 1 binary64)))))
(+.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) x) x) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) x) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)))) x #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) x) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)))) x #s(literal 1 binary64)))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal -1 binary64))) (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) x) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)))) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) x) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)))) x #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) x) x) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) x) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)))) x #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) x) x) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) x) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)))) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x))))

eval201.0ms (2.3%)

Memory: 29.4MiB live, 585.4MiB allocated
Compiler: Compiled 38 140 to 2 979 computations (92.2% saved)

prune199.0ms (2.3%)

Memory

-11.9MiB live, 598.9MiB allocated

Pruning

30 alts after pruning (22 fresh and 8 done)

	Pruned	Kept	Total
New	1 307	11	1 318
Fresh	3	11	14
Picked	3	2	5
Done	1	6	7
Total	1 314	30	1 344

Accuracy

100.0%

Counts

1 344 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.2%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/360 binary64) x) x #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
	67.0%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/144 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
	85.9%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
	69.1%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1 binary64))) (.f64 x x) #s(literal 2 binary64))))
	58.6%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal -1 binary64)) x) (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal -1 binary64))) x #s(literal 2 binary64))))
	91.2%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))) x #s(literal 2 binary64))))
	91.2%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))) x)) x #s(literal 2 binary64))))
	50.9%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8640 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (.f64 x x) #s(literal 1 binary64)))) (.f64 x x) #s(literal 2 binary64))))
	90.9%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1)) (/.f64 (-.f64 #s(literal 360 binary64) (/.f64 #s(literal 10800 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) x)))) (*.f64 x x) #s(literal 2 binary64))))
	67.0%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)) (.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/144 binary64)) (.f64 x x)))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
✓	91.2%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
	91.2%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
	59.5%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 #s(approx (+ ( 1/360 (* x x)) 1/12) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (.f64 x x)) (.f64 x x)) #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 (.f64 x x) #s(literal 1/360 binary64))) #s(literal -1 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ ( 1/360 (* x x)) 1/12) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (*.f64 x x) #s(literal -1 binary64))) #s(literal 2 binary64))))
	85.9%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
	85.9%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 #s(approx (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) x) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) x)) x #s(literal 2 binary64))))
✓	75.4%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
	52.5%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x) #s(literal -16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64))))))
	43.2%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (/ 1 (/ 1 (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1))) (* x x)) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))))
	43.0%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (/ 1 (/ 1 (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1))) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)))))
✓	42.9%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) x) x) x))))
	42.9%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/360 binary64) x) x) x) x) x) x))))
	42.9%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) x) (.f64 x x)) x))))
	42.9%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) x) x) (.f64 x x)))))
	42.9%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
✓	27.7%	(/.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))
✓	50.8%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
	50.8%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
✓	50.8%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓	51.3%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))

Compiler

Compiled 1 637 to 527 computations (67.8% saved)

regimes42.0ms (0.5%)

Memory

-0.5MiB live, 116.9MiB allocated

Counts

48 → 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 (*.f64 x x) #s(literal -1/2 binary64) #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 (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 #s(approx (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) x) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) x)) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) x) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) x) x) (.f64 x x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) x) (.f64 x x)) x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/360 binary64) x) x) x) x) x) x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) x) x) x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (/ 1 (/ 1 (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1))) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 #s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/360 binary64) x))) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (/ 1 (/ 1 (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1))) (* x x)) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/360 binary64) x) x #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8640 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (.f64 x x) #s(literal 1 binary64)))) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))) x)) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1)) (/.f64 (-.f64 #s(literal 360 binary64) (/.f64 #s(literal 10800 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) x)))) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/144 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal -1/12 binary64))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/144 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)) (.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/144 binary64)) (.f64 x x)))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x) #s(literal -16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1 binary64))) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal -1 binary64)) x) (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal -1 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 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1 binary64))) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 #s(approx (+ ( 1/360 (* x x)) 1/12) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (.f64 x x)) (.f64 x x)) #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 (.f64 x x) #s(literal 1/360 binary64))) #s(literal -1 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ ( 1/360 (* x x)) 1/12) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (*.f64 x x) #s(literal -1 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x))) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1 binary64))) #s(literal 2 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:

14.0ms	x
13.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
12.0ms	(+.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)

regimes39.0ms (0.4%)

Memory

-8.9MiB live, 111.7MiB allocated

Counts

46 → 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 (*.f64 x x) #s(literal -1/2 binary64) #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 (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 #s(approx (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) x) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) x)) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) x) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) x) x) (.f64 x x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) x) (.f64 x x)) x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/360 binary64) x) x) x) x) x) x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) x) x) x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (/ 1 (/ 1 (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1))) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 #s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/360 binary64) x))) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (/ 1 (/ 1 (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1))) (* x x)) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/360 binary64) x) x #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8640 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (.f64 x x) #s(literal 1 binary64)))) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))) x)) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1)) (/.f64 (-.f64 #s(literal 360 binary64) (/.f64 #s(literal 10800 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) x)))) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/144 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal -1/12 binary64))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/144 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)) (.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/144 binary64)) (.f64 x x)))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x) #s(literal -16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1 binary64))) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal -1 binary64)) x) (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal -1 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 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1 binary64))) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 #s(approx (+ ( 1/360 (* x x)) 1/12) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (.f64 x x)) (.f64 x x)) #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 (.f64 x x) #s(literal 1/360 binary64))) #s(literal -1 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ ( 1/360 (* x x)) 1/12) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (*.f64 x x) #s(literal -1 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x))) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1 binary64))) #s(literal 2 binary64))))

Outputs

(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal -1 binary64))) #s(literal 2 binary64))))

(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 #s(approx (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) x) (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) x #s(literal 2 binary64))))

Calls

3 calls:

13.0ms	x
11.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
11.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
94.8%	2	`x`
91.2%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
91.2%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes16.0ms (0.2%)

Memory

5.2MiB live, 44.4MiB allocated

Counts

45 → 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 (*.f64 x x) #s(literal -1/2 binary64) #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 (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 #s(approx (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) x) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) x)) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) x) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) x) x) (.f64 x x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) x) (.f64 x x)) x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/360 binary64) x) x) x) x) x) x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) x) x) x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (/ 1 (/ 1 (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1))) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 #s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/360 binary64) x))) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (/ 1 (/ 1 (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1))) (* x x)) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/360 binary64) x) x #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8640 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (.f64 x x) #s(literal 1 binary64)))) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))) x)) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1)) (/.f64 (-.f64 #s(literal 360 binary64) (/.f64 #s(literal 10800 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) x)))) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/144 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal -1/12 binary64))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/144 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)) (.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/144 binary64)) (.f64 x x)))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x) #s(literal -16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1 binary64))) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal -1 binary64)) x) (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal -1 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 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1 binary64))) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 #s(approx (+ ( 1/360 (* x x)) 1/12) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (.f64 x x)) (.f64 x x)) #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 (.f64 x x) #s(literal 1/360 binary64))) #s(literal -1 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ ( 1/360 (* x x)) 1/12) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (*.f64 x x) #s(literal -1 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x))) (*.f64 x x) #s(literal 2 binary64))))

Outputs

(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) (*.f64 x x)) (*.f64 x x)) #s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) #s(literal -1 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) (*.f64 x x) #s(literal -1 binary64))) #s(literal 2 binary64))))

(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 #s(approx (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) x) (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) x #s(literal 2 binary64))))

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
94.6%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes32.0ms (0.4%)

Memory

-6.5MiB live, 35.3MiB allocated

Counts

43 → 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 (*.f64 x x) #s(literal -1/2 binary64) #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 (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 #s(approx (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) x) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) x)) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) x) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) x) x) (.f64 x x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) x) (.f64 x x)) x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/360 binary64) x) x) x) x) x) x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) x) x) x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (/ 1 (/ 1 (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1))) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 #s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/360 binary64) x))) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (/ 1 (/ 1 (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1))) (* x x)) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/360 binary64) x) x #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8640 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (.f64 x x) #s(literal 1 binary64)))) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))) x)) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1)) (/.f64 (-.f64 #s(literal 360 binary64) (/.f64 #s(literal 10800 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) x)))) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/144 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal -1/12 binary64))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/144 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)) (.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/144 binary64)) (.f64 x x)))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x) #s(literal -16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1 binary64))) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal -1 binary64)) x) (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal -1 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 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1 binary64))) (*.f64 x x) #s(literal 2 binary64))))

Outputs

(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal -1 binary64)) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal -1 binary64))) x #s(literal 2 binary64))))

(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 #s(approx (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) x) (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) x #s(literal 2 binary64))))

Calls

1 calls:

29.0ms

Results

Accuracy	Segments	Branch
93.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes38.0ms (0.4%)

Memory

-3.8MiB live, 35.4MiB allocated

Counts

41 → 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 (*.f64 x x) #s(literal -1/2 binary64) #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 (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 #s(approx (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) x) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) x)) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) x) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) x) x) (.f64 x x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) x) (.f64 x x)) x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/360 binary64) x) x) x) x) x) x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) x) x) x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (/ 1 (/ 1 (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1))) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 #s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/360 binary64) x))) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (/ 1 (/ 1 (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1))) (* x x)) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/360 binary64) x) x #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8640 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (.f64 x x) #s(literal 1 binary64)))) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))) x)) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1)) (/.f64 (-.f64 #s(literal 360 binary64) (/.f64 #s(literal 10800 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) x)))) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/144 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal -1/12 binary64))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/144 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)) (.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/144 binary64)) (.f64 x x)))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x) #s(literal -16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1 binary64))) (.f64 x x) #s(literal 2 binary64))))

Outputs

(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal -1 binary64))) (*.f64 x x) #s(literal 2 binary64))))

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

Calls

1 calls:

36.0ms

Results

Accuracy	Segments	Branch
93.3%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes28.0ms (0.3%)

Memory

-4.3MiB live, 34.9MiB allocated

Counts

40 → 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 (*.f64 x x) #s(literal -1/2 binary64) #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 (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 #s(approx (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) x) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) x)) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) x) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) x) x) (.f64 x x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) x) (.f64 x x)) x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/360 binary64) x) x) x) x) x) x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) x) x) x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (/ 1 (/ 1 (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1))) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 #s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/360 binary64) x))) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (/ 1 (/ 1 (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1))) (* x x)) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/360 binary64) x) x #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8640 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (.f64 x x) #s(literal 1 binary64)))) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))) x)) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1)) (/.f64 (-.f64 #s(literal 360 binary64) (/.f64 #s(literal 10800 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) x)))) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/144 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal -1/12 binary64))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/144 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)) (.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/144 binary64)) (.f64 x x)))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x) #s(literal -16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64))))))

Outputs

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

(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) x)))))

Calls

1 calls:

25.0ms

Results

Accuracy	Segments	Branch
93.1%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes31.0ms (0.4%)

Memory

17.0MiB live, 56.3MiB allocated

Counts

39 → 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 (*.f64 x x) #s(literal -1/2 binary64) #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 (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 #s(approx (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) x) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) x)) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) x) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) x) x) (.f64 x x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) x) (.f64 x x)) x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/360 binary64) x) x) x) x) x) x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) x) x) x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (/ 1 (/ 1 (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1))) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 #s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/360 binary64) x))) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (/ 1 (/ 1 (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1))) (* x x)) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/360 binary64) x) x #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8640 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (.f64 x x) #s(literal 1 binary64)))) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))) x)) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1)) (/.f64 (-.f64 #s(literal 360 binary64) (/.f64 #s(literal 10800 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) x)))) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/144 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal -1/12 binary64))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/144 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)) (.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/144 binary64)) (.f64 x x)))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))

Outputs

(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))

Calls

2 calls:

17.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
11.0ms	x

Results

Accuracy	Segments	Branch
91.2%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
91.2%	1	`x`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes70.0ms (0.8%)

Memory

-31.5MiB live, 57.7MiB 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 (*.f64 x x) #s(literal -1/2 binary64) #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 (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 #s(approx (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) x) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) x)) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) x) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) x) x) (.f64 x x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) x) (.f64 x x)) x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/360 binary64) x) x) x) x) x) x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) x) x) x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (/ 1 (/ 1 (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1))) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 #s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/360 binary64) x))) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (/ 1 (/ 1 (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1))) (* x x)) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))

Outputs

(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))

Calls

3 calls:

30.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
8.0ms	x
7.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
91.0%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
91.0%	1	`x`
91.0%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes46.0ms (0.5%)

Memory

16.8MiB live, 56.2MiB allocated

Counts

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

Outputs

(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 #s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/360 binary64) x))) (*.f64 x x) #s(literal 2 binary64))))

Calls

3 calls:

32.0ms	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
90.9%	1	`x`
90.9%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
90.9%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes23.0ms (0.3%)

Memory

6.8MiB live, 46.4MiB 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 (*.f64 x x) #s(literal -1/2 binary64) #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 (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 #s(approx (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) x) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) x)) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (+.f64 (.f64 (.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) x) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) x) x) (.f64 x x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) x) (.f64 x x)) x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/360 binary64) x) x) x) x) x) x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/360 binary64)) x) x) x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (/ 1 (/ 1 (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1))) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)))))

Outputs

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

Calls

3 calls:

10.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
7.0ms	x
6.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
91.1%	2	`x`
91.1%	2	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
91.1%	2	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes32.0ms (0.4%)

Memory

1.3MiB live, 42.3MiB allocated

Counts

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

Outputs

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

Calls

3 calls:

19.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
6.0ms	x
5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
91.1%	2	`x`
91.1%	2	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
91.1%	2	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes14.0ms (0.2%)

Memory

-7.3MiB live, 32.3MiB allocated

Counts

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

Outputs

(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 #s(approx (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) x) (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) x #s(literal 2 binary64))))

Calls

3 calls:

6.0ms	x
4.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
4.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
85.9%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
85.9%	1	`x`
85.9%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes8.0ms (0.1%)

Memory

20.6MiB live, 20.7MiB allocated

Counts

7 → 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 (*.f64 x x) #s(literal -1/2 binary64) #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 (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #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:

3.0ms	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
75.4%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
75.4%	1	`x`
75.4%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes23.0ms (0.3%)

Memory

-24.7MiB live, 15.0MiB 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 (*.f64 x x) #s(literal -1/2 binary64) #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 (*.f64 x x) #s(literal -1/2 binary64) #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:

19.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2.0ms	x
2.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
75.4%	2	`x`
75.4%	2	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
75.4%	2	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes4.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Accuracy

Total -0.4b remaining (-1.3%)

Threshold costs -0.4b (-1.3%)

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 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
51.3%	1	`x`
51.3%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
51.3%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch16.0ms (0.2%)

Memory

-24.3MiB live, 15.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
5.0ms	4.0391068369345396e+74	7.3062890903054e+79

Samples

3.0ms

64×

valid

Compiler

Compiled 264 to 119 computations (54.9% saved)

Precisions

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

ival-exp: 1.0ms (54.4% 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)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	4.0391068369345396e+74	7.3062890903054e+79

Compiler

Compiled 264 to 115 computations (56.4% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 1.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	4.0391068369345396e+74	7.3062890903054e+79

Compiler

Compiled 256 to 115 computations (55.1% saved)

bsearch14.0ms (0.2%)

Memory

33.0MiB live, 33.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2.9645692514329643e+150	4.2097322817398014e+157

Samples

7.0ms

144×

valid

Compiler

Compiled 453 to 191 computations (57.8% saved)

Precisions

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

ival-exp: 2.0ms (49.2% of total)

ival-div: 1.0ms (24.6% of total)

ival-add: 1.0ms (24.6% of total)

ival-neg: 1.0ms (24.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch31.0ms (0.4%)

Memory

-7.4MiB live, 33.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	1.3137506474628358e+49	1.1505680445886595e+54

Samples

24.0ms

144×

valid

Compiler

Compiled 516 to 254 computations (50.8% saved)

Precisions

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

ival-exp: 2.0ms (46.5% of total)

ival-div: 1.0ms (23.3% of total)

ival-add: 1.0ms (23.3% of total)

ival-neg: 1.0ms (23.3% 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

0.8MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.0020113102233026	21.222772288457477

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.0020113102233026	21.222772288457477

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	2.0020113102233026	21.222772288457477

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify38.0ms (0.4%)

Memory

-12.4MiB live, 27.3MiB allocated

Algorithm

1×	egg-herbie

Rules

42×	`*-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	145	799
1	172	799
2	174	799
3	175	799

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 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 #s(approx (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) x) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) x)) x #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal 199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 #s(approx (+ ( 1/360 (* x x)) 1/12) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (.f64 x x)) (.f64 x x)) #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 (.f64 x x) #s(literal 1/360 binary64))) #s(literal -1 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ ( 1/360 (* x x)) 1/12) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (.f64 x x) #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 #s(approx ( (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) x) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) x)) x #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal 199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal -1 binary64)) x) (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal -1 binary64))) x #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 #s(approx ( (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) x) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) x)) x #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1 binary64))) (.f64 x x) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))))
(if (<=.f64 x #s(literal 2399999999999999850807477239976319853127394232631296 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x) #s(literal -16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64)))))) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) x))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 #s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/360 binary64) x))) (*.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 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #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 (+ ( (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x))))))
(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 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #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 (+ ( (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) x))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 #s(approx (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) x) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) x)) x #s(literal 2 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 (.f64 x x) #s(literal -1/2 binary64) #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 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 #s(approx (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) x) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) x)) x #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal 199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 #s(approx (+ ( 1/360 (* x x)) 1/12) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (.f64 x x)) (.f64 x x)) #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 (.f64 x x) #s(literal 1/360 binary64))) #s(literal -1 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ ( 1/360 (* x x)) 1/12) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (.f64 x x) #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 #s(approx ( (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) x) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) x)) x #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal 199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal -1 binary64)) x) (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal -1 binary64))) x #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 #s(approx ( (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) x) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) x)) x #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1 binary64))) (.f64 x x) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))))
(if (<=.f64 x #s(literal 2399999999999999850807477239976319853127394232631296 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x) #s(literal -16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64)))))) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) x))))))
(if (<=.f64 x #s(literal 2399999999999999850807477239976319853127394232631296 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x) #s(literal -16 binary64)) (.f64 (fma.f64 x x #s(literal -2 binary64)) (fma.f64 (.f64 (.f64 x x) x) x #s(literal 4 binary64)))))) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ ( (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) x) (.f64 (.f64 x x) x))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 #s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/360 binary64) x))) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 #s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (.f64 (.f64 #s(literal 1/360 binary64) x) (.f64 (.f64 x x) x))) (*.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 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #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 (+ ( (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x))))))
(if (<=.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64)) #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #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 (+ ( (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x))))))
(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 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #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 (+ ( (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) x))))))
(if (<=.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64)) #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #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 (+ ( (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) x) (.f64 (.f64 x x) x))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 #s(approx (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) x) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) x)) x #s(literal 2 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 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ ( x x) 2) (*.f64 x x)))))
(if (<=.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64)) #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #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))

soundness2.2s (25.4%)

Memory

18.3MiB live, 1 693.0MiB allocated

Rules

15 580×	`lower-fma.f64`
15 580×	`lower-fma.f32`
11 216×	`lower-fma.f32`
11 208×	`lower-fma.f64`
10 278×	`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
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	94	2416
1	264	2416
2	637	2376
3	1618	2376
4	4462	2364
5	6753	2364
0	8193	2151
0	48	517
0	78	443
1	302	427
2	1254	382
0	8646	366
0	103	1526
1	274	1526
2	683	1510
3	1829	1502
4	3189	1498
5	6038	1498
0	8095	1357
0	120	2488
1	337	2422
2	820	2422
3	2239	2422
4	5588	2406
0	8351	2211
0	48	518
0	80	406
1	327	404
2	2039	388
0	8454	378
0	29	183
0	47	167
1	208	167
2	1420	167
0	8101	167

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

Compiler

Compiled 1 218 to 493 computations (59.5% saved)

preprocess89.0ms (1%)

Memory: -19.2MiB live, 339.0MiB allocated
Remove: (abs x)
Compiler: Compiled 1 018 to 238 computations (76.6% 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	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

start0.0ms (0%)

analyze1.0ms (0%)

sample700.0ms (8.1%)

explain86.0ms (1%)

preprocess55.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize23.0ms (0.3%)

series6.0ms (0.1%)

simplify175.0ms (2%)

rewrite383.0ms (4.4%)

eval54.0ms (0.6%)

prune70.0ms (0.8%)

simplify279.0ms (3.2%)

localize182.0ms (2.1%)

series21.0ms (0.2%)

simplify278.0ms (3.2%)

rewrite345.0ms (4%)

eval213.0ms (2.5%)

prune446.0ms (5.2%)

simplify189.0ms (2.2%)

localize207.0ms (2.4%)

series52.0ms (0.6%)

simplify138.0ms (1.6%)

rewrite210.0ms (2.4%)

eval210.0ms (2.4%)

prune282.0ms (3.3%)

simplify240.0ms (2.8%)

localize143.0ms (1.7%)

series42.0ms (0.5%)

simplify140.0ms (1.6%)

rewrite215.0ms (2.5%)

eval201.0ms (2.3%)

prune199.0ms (2.3%)

regimes42.0ms (0.5%)

regimes39.0ms (0.4%)

regimes16.0ms (0.2%)

regimes32.0ms (0.4%)

regimes38.0ms (0.4%)

regimes28.0ms (0.3%)

regimes31.0ms (0.4%)

regimes70.0ms (0.8%)

regimes46.0ms (0.5%)

regimes23.0ms (0.3%)

regimes32.0ms (0.4%)

regimes14.0ms (0.2%)

regimes8.0ms (0.1%)

regimes23.0ms (0.3%)

regimes4.0ms (0.1%)

bsearch16.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch14.0ms (0.2%)

bsearch31.0ms (0.4%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify38.0ms (0.4%)

soundness2.2s (25.4%)

preprocess89.0ms (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