Metrics for Hyperbolic tangent

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 9 computations (40% saved)

sample4.6s (46.6%)

Memory

26.0MiB live, 5 015.8MiB allocated

Samples

1.9s	2 946×	2	valid
1.1s	4 760×	1	valid
739.0ms	7 838×	0	exit
74.0ms	550×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.1s

ival-exp: 2.1s (67% of total)

ival-sub: 356.0ms (11.4% of total)

adjust: 264.0ms (8.5% of total)

ival-div: 170.0ms (5.4% of total)

ival-add: 135.0ms (4.3% of total)

ival-neg: 85.0ms (2.7% of total)

ival-true: 12.0ms (0.4% of total)

ival-assert: 7.0ms (0.2% of total)

Bogosity

explain211.0ms (2.1%)

Memory

30.3MiB live, 461.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
246	-	-	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
6	-	-	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
0	-	-	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
0	-	-	`(exp.f64 x)`
0	-	-	`(exp.f64 (neg.f64 x))`
0	-	-	`(neg.f64 x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	cancellation	246	0
`/.f64`	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`	o/o	6	0
↳	`(exp.f64 x)`	overflow	2
↳	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	overflow	6
↳	`(exp.f64 (neg.f64 x))`	overflow	4
↳	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	overflow	6
↳	`(exp.f64 x)`	overflow	2
↳	`(exp.f64 (neg.f64 x))`	overflow	4

Confusion

	Predicted +	Predicted -
+	252	0
-	0	4

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	252	0	0
-	0	0	4

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	4
1	252

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

75.0ms	172×	2	valid
56.0ms	296×	1	valid
3.0ms	44×	0	valid

Compiler

Compiled 83 to 25 computations (69.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-exp: 75.0ms (67.7% of total)

adjust: 14.0ms (12.6% of total)

ival-div: 7.0ms (6.3% of total)

ival-add: 5.0ms (4.5% of total)

ival-sub: 5.0ms (4.5% of total)

ival-neg: 4.0ms (3.6% of total)

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

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

preprocess96.0ms (1%)

Memory

-9.6MiB live, 111.8MiB allocated

Algorithm

1×	egg-herbie

Rules

528×	`lower-fma.f64`
528×	`lower-fma.f32`
336×	`lower-*.f64`
336×	`lower-*.f32`
320×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	32	27
2	80	26
3	199	26
4	468	26
5	1130	26
6	1547	26
7	1585	26
8	1604	26
9	1623	26
10	1657	26
11	1669	26
0	7	13
0	13	13
1	25	13
2	42	13
3	67	13
4	122	13
5	276	13
6	462	13
7	682	13
8	905	13
9	1058	13
10	1186	13
11	1233	13
0	1233	13

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))

Symmetry

(negabs x)

Compiler

Compiled 13 to 7 computations (46.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	10.0%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 13 to 7 computations (46.2% saved)

simplify38.0ms (0.4%)

Memory

-1.9MiB live, 35.0MiB 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 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Rules

528×	`lower-fma.f64`
528×	`lower-fma.f32`
336×	`lower-*.f64`
336×	`lower-*.f32`
224×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	33
0	13	33
1	25	33
2	42	33
3	67	33
4	122	33
5	276	33
6	462	33
7	682	33
8	905	33
9	1058	33
10	1186	33
11	1233	33
0	1233	33

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))

localize469.0ms (4.8%)

Memory

-1 246.8MiB live, 198.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 x)
accuracy	0.01171875	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
accuracy	1.476579006304951	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
accuracy	56.13008294359923	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Samples

427.0ms	86×	2	valid
32.0ms	148×	1	valid
1.0ms	22×	0	valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 445.0ms

ival-exp: 417.0ms (93.7% of total)

adjust: 11.0ms (2.5% of total)

ival-add: 9.0ms (2% of total)

ival-div: 4.0ms (0.9% of total)

ival-sub: 3.0ms (0.7% of total)

ival-neg: 1.0ms (0.2% of total)

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

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

series4.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

5 → 60

Calls

Call 1

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

Outputs
#s(alt x (taylor 0 x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (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 (* x (+ 2 (* 1/3 (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 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (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 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (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 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 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 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))) (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.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) (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 (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 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))) (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.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 (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 (* -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 (+ (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>) () ())) ())

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (- (exp x) (exp (neg x))) (exp x) (exp (neg x)) (+ (exp x) (exp (neg x))))

1.0ms

inf

((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (- (exp x) (exp (neg x))) (exp x) (exp (neg x)) (+ (exp x) (exp (neg x))))

1.0ms

-inf

((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (- (exp x) (exp (neg x))) (exp x) (exp (neg x)) (+ (exp x) (exp (neg x))))

simplify149.0ms (1.5%)

Memory

4.3MiB live, 198.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12 890×	`lower-fma.f64`
12 890×	`lower-fma.f32`
4 156×	`lower-*.f64`
4 156×	`lower-*.f32`
2 544×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	425
1	259	424
2	604	414
3	1672	414
4	2645	414
5	4176	414
6	4889	414
7	6516	414
0	8145	386

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 59

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
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 (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(exp x)
(exp x)
(exp x)
(exp x)
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(+ (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))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(exp x)
(exp x)
(exp x)
(exp x)
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) 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))
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))
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 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) x #s(literal 2 binary64)))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.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 (neg x))
(exp.f64 (neg.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 (neg x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.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))
(+ (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))

rewrite158.0ms (1.6%)

Memory

-22.2MiB live, 222.4MiB allocated

Rules

3 904×	`lower-*.f64`
3 904×	`lower-*.f32`
3 826×	`lower-/.f32`
3 824×	`lower-/.f64`
2 870×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	30
0	13	15
1	55	15
2	424	15
3	7080	15
0	8062	15

Stop Event

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

Counts

5 → 644

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.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))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

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

eval93.0ms (0.9%)

Memory: 30.2MiB live, 150.9MiB allocated
Compiler: Compiled 17 243 to 1 765 computations (89.8% saved)

prune15.0ms (0.2%)

Memory

-36.0MiB live, 48.4MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	743	4	747
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	744	4	748

Accuracy

100.0%

Counts

748 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.6%	(/.f64 (sinh.f64 x) (cosh.f64 x))
▶	97.3%	(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)))
▶	100.0%	(tanh.f64 x)
▶	96.8%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))

Compiler

Compiled 23 to 19 computations (17.4% saved)

simplify97.0ms (1%)

Memory

28.6MiB live, 104.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score
cost-diff	0	(cosh.f64 x)
cost-diff	0	(sinh.f64 x)
cost-diff	7104	(/.f64 (sinh.f64 x) (cosh.f64 x))
cost-diff	0	(sinh.f64 x)
cost-diff	0	(/.f64 #s(literal 1/2 binary64) (sinh.f64 x))
cost-diff	0	(*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x))
cost-diff	8128	(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)))
cost-diff	0	(tanh.f64 x)
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))

Rules

4 904×	`lower-fma.f32`
4 902×	`lower-fma.f64`
2 840×	`lower-/.f32`
2 834×	`lower-/.f64`
2 700×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	71
0	30	50
1	66	50
2	137	50
3	275	50
4	707	50
5	1989	50
6	6063	50
0	8057	50

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -1/3 binary64)
(tanh.f64 x)
x
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)))
#s(literal 1/2 binary64)
(*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x))
(/.f64 #s(literal 1/2 binary64) (sinh.f64 x))
(sinh.f64 x)
x
(cosh.f64 x)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(sinh.f64 x)
x
(cosh.f64 x)

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -1/3 binary64)
(tanh.f64 x)
x
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)))
(tanh.f64 x)
#s(literal 1/2 binary64)
(*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x))
(*.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (sinh.f64 x))
(sinh.f64 x)
x
(cosh.f64 x)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(tanh.f64 x)
(sinh.f64 x)
x
(cosh.f64 x)

localize121.0ms (1.2%)

Memory

-1.3MiB live, 159.0MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(cosh.f64 x)
accuracy	0.0078125	(sinh.f64 x)
accuracy	1.476579006304951	(/.f64 (sinh.f64 x) (cosh.f64 x))
accuracy	0.00390625	(/.f64 #s(literal 1/2 binary64) (sinh.f64 x))
accuracy	0.0078125	(sinh.f64 x)
accuracy	0.19140625	(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)))
accuracy	1.4648932447612466	(*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x))
accuracy	0.0234375	(tanh.f64 x)
accuracy	0	(pow.f64 x #s(literal 3 binary64))
accuracy	0.00390625	(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
accuracy	2.0269737908580834	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))

Samples

59.0ms	86×	2	valid
43.0ms	148×	1	valid
5.0ms	22×	0	valid

Compiler

Compiled 67 to 22 computations (67.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-exp: 44.0ms (50.7% of total)

adjust: 11.0ms (12.7% of total)

ival-div: 8.0ms (9.2% of total)

ival-sub: 4.0ms (4.6% of total)

const: 4.0ms (4.6% of total)

ival-pow: 4.0ms (4.6% of total)

ival-add: 4.0ms (4.6% of total)

ival-mult: 3.0ms (3.5% of total)

ival-cosh: 2.0ms (2.3% of total)

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

ival-sinh: 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)

exact: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory

-15.4MiB live, 22.9MiB allocated

Counts

10 → 120

Calls

Call 1

Inputs
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) (patch (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (tanh.f64 x) (patch (tanh.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x))) (patch (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (patch (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) #<representation binary64>) () ())
#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 (sinh.f64 x) (cosh.f64 x)) (patch (/.f64 (sinh.f64 x) (cosh.f64 x)) #<representation binary64>) () ())
#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) (patch (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) (patch (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) (patch (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) (patch (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (tanh.f64 x) (patch (tanh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (tanh.f64 x) (patch (tanh.f64 x) #<representation binary64>) () ())) ())
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#s(alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x))) (patch (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x))) (patch (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (patch (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (patch (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (patch (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (patch (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 (sinh.f64 x) (cosh.f64 x)) (patch (/.f64 (sinh.f64 x) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 (sinh.f64 x) (cosh.f64 x)) (patch (/.f64 (sinh.f64 x) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 (sinh.f64 x) (cosh.f64 x)) (patch (/.f64 (sinh.f64 x) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 (sinh.f64 x) (cosh.f64 x)) (patch (/.f64 (sinh.f64 x) (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>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

7.0ms

-inf

((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) -1/3) x) (pow x 3) (tanh x) (/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (/ 1/2 (sinh x)) (sinh x) (/ (sinh x) (cosh x)) (cosh x))

6.0ms

inf

((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) -1/3) x) (pow x 3) (tanh x) (/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (/ 1/2 (sinh x)) (sinh x) (/ (sinh x) (cosh x)) (cosh x))

2.0ms

((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) -1/3) x) (pow x 3) (tanh x) (/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (/ 1/2 (sinh x)) (sinh x) (/ (sinh x) (cosh x)) (cosh x))

simplify152.0ms (1.5%)

Memory

20.8MiB live, 177.1MiB allocated

Algorithm

1×	egg-herbie

Rules

14 672×	`lower-fma.f64`
14 672×	`lower-fma.f32`
4 588×	`lower-*.f64`
4 588×	`lower-*.f32`
2 616×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	123	1222
1	316	1174
2	775	1174
3	2225	1174
4	4060	1174
5	6638	1174
0	8191	1117

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 114

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* -1/12 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (- (* 7/720 (pow x 2)) 1/12))) x)
(/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/720 (* -31/30240 (pow x 2)))) 1/12))) x)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
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)))))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(/ 1 (- (exp x) (/ 1 (exp x))))
(/ 1 (- (exp x) (/ 1 (exp x))))
(/ 1 (- (exp x) (/ 1 (exp x))))
(/ 1 (- (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))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (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))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(/ 1 (- (exp x) (/ 1 (exp x))))
(/ 1 (- (exp x) (/ 1 (exp x))))
(/ 1 (- (exp x) (/ 1 (exp x))))
(/ 1 (- (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))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (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))))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/90 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* -1/12 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (- (* 7/720 (pow x 2)) 1/12))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 7/720 binary64) (.f64 x x) #s(literal -1/12 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/720 (* -31/30240 (pow x 2)))) 1/12))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -31/30240 binary64) (.f64 x x) #s(literal 7/720 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) 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))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* -1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 1 (- (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 1 (- (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 1 (- (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 1 (- (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 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))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* -1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 1 (- (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 1 (- (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 1 (- (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 1 (- (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 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))

rewrite209.0ms (2.1%)

Memory

-0.6MiB live, 278.1MiB allocated

Rules

5 824×	`lower-fma.f32`
5 822×	`lower-fma.f64`
5 710×	`lower-*.f32`
5 708×	`lower-*.f64`
4 870×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	60
0	30	39
1	128	38
2	877	36
0	9216	36

Stop Event

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

Counts

10 → 1 516

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(pow.f64 x #s(literal 3 binary64))
(tanh.f64 x)
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x))
(/.f64 #s(literal 1/2 binary64) (sinh.f64 x))
(sinh.f64 x)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(cosh.f64 x)

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x)) (-.f64 (.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64))) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))))
(.f64 (/.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 4 binary64)) (pow.f64 (fma.f64 x x (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (/.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/729 binary64) (pow.f64 (fma.f64 x x (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 4 binary64)) (.f64 (fma.f64 x x (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (fma.f64 x x (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x)
(.f64 (fma.f64 x x (.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))
(.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x)))
(.f64 (pow.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal -1 binary64)) (fma.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))))
(.f64 (neg.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))))
(.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x)) (pow.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))) (.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x) (pow.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x) (.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)) (pow.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64))))
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eval217.0ms (2.2%)

Memory: 8.6MiB live, 395.9MiB allocated
Compiler: Compiled 38 175 to 2 413 computations (93.7% saved)

prune31.0ms (0.3%)

Memory

-13.0MiB live, 105.8MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	1 785	6	1 791
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	1 786	9	1 795

Accuracy

100.0%

Counts

1 795 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.6%	(/.f64 (sinh.f64 x) (cosh.f64 x))
✓	97.3%	(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)))
▶	97.3%	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)))
	96.9%	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/90 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)))
▶	96.9%	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)))
▶	96.0%	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x)))
✓	100.0%	(tanh.f64 x)
▶	96.8%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
▶	96.8%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x))

Compiler

Compiled 160 to 109 computations (31.9% saved)

simplify125.0ms (1.3%)

Memory

11.0MiB live, 130.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
cost-diff	0	#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) x)
cost-diff	0	#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x)))
cost-diff	-5824	(.f64 (.f64 x x) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
cost-diff	-5824	(.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x)
cost-diff	0	(*.f64 #s(literal -1/3 binary64) x)
cost-diff	0	(fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
cost-diff	0	#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)))

Rules

5 658×	`lower-fma.f32`
5 646×	`lower-fma.f64`
2 772×	`lower-*.f32`
2 764×	`lower-*.f64`
1 996×	`lower-/.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	38	278
0	60	278
1	104	276
2	178	268
3	343	268
4	845	264
5	1540	252
6	3376	252
7	7837	252
0	8436	252

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)))
#s(literal 1/2 binary64)
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/945 binary64) (*.f64 x x) #s(literal -1/90 binary64))
#s(literal 1/945 binary64)
(*.f64 x x)
x
#s(literal -1/90 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x))
(.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x)
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal -1/3 binary64) x)
#s(literal -1/3 binary64)
x
#s(literal 1 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)
(.f64 (.f64 x x) x)
(*.f64 x x)
x
#s(literal -1/3 binary64)
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x)))
#s(literal 1/2 binary64)
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
x
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)))
#s(literal 1/2 binary64)
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
(*.f64 x x)
x

Outputs
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)))
#s(literal 1/2 binary64)
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/945 binary64) (*.f64 x x) #s(literal -1/90 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64))
#s(literal 1/945 binary64)
(*.f64 x x)
x
#s(literal -1/90 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal -1/3 binary64) x)
#s(literal -1/3 binary64)
x
#s(literal 1 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(.f64 (.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal -1/3 binary64)
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x)))
#s(literal 1/2 binary64)
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
x
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)))
#s(literal 1/2 binary64)
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
(*.f64 x x)
x

localize284.0ms (2.9%)

Memory

15.1MiB live, 211.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
accuracy	0.015625	(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
accuracy	0.19140625	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)))
accuracy	1.8022205719763984	#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))
accuracy	0	(/.f64 #s(literal 1/2 binary64) x)
accuracy	0.19140625	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x)))
accuracy	2.36237567230995	#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x))
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)
accuracy	0.0859375	(.f64 (.f64 x x) x)
accuracy	2.0269737908580834	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
accuracy	0.0078125	(fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64))
accuracy	0.01171875	(.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x)
accuracy	0.32421875	(*.f64 #s(literal -1/3 binary64) x)
accuracy	2.0269737908580834	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x))
accuracy	0.02734375	(fma.f64 #s(literal 1/945 binary64) (*.f64 x x) #s(literal -1/90 binary64))
accuracy	0.02734375	(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
accuracy	0.19140625	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)))
accuracy	1.4976728675584914	#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))

Samples

129.0ms	86×	2	valid
123.0ms	148×	1	valid
6.0ms	22×	0	valid

Compiler

Compiled 212 to 39 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 220.0ms

ival-mult: 87.0ms (39.6% of total)

ival-exp: 35.0ms (15.9% of total)

const: 33.0ms (15% of total)

ival-div: 24.0ms (10.9% of total)

adjust: 19.0ms (8.6% of total)

ival-add: 13.0ms (5.9% of total)

ival-cosh: 3.0ms (1.4% of total)

ival-sub: 3.0ms (1.4% of total)

ival-sinh: 2.0ms (0.9% of total)

ival-neg: 1.0ms (0.5% of total)

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

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

exact: 0.0ms (0% of total)

series40.0ms (0.4%)

Memory

-16.1MiB live, 37.0MiB allocated

Counts

20 → 240

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)) (patch #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) (patch (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -1/3 binary64) x) (patch (.f64 #s(literal -1/3 binary64) x) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x) (patch (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)) (patch #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) (patch (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (patch (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 x) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 x) (taylor 0 x) (#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)) (patch #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* 1/6 (pow x 2))) x) (taylor 0 x) (#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)) (patch #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x) (taylor 0 x) (#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)) (patch #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) x) (taylor 0 x) (#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)) (patch #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 x) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* 1/6 (pow x 2))) x) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) x) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) (patch (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/3 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) (patch (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/3 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) (patch (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/3 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) (patch (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 x) (taylor 0 x) (#s(alt (.f64 #s(literal -1/3 binary64) x) (patch (.f64 #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1/3 x) (taylor 0 x) (#s(alt (.f64 #s(literal -1/3 binary64) x) (patch (.f64 #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1/3 x) (taylor 0 x) (#s(alt (.f64 #s(literal -1/3 binary64) x) (patch (.f64 #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1/3 x) (taylor 0 x) (#s(alt (.f64 #s(literal -1/3 binary64) x) (patch (.f64 #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x) (patch (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x) (patch (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x) (patch (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x) (patch (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)) (patch #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)) (patch #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)) (patch #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)) (patch #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) (patch (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) (patch (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) (patch (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) (patch (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/945 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (patch (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (patch (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (patch (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (patch (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

25.0ms

-inf

((/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (/ (+ (* (+ (* (+ (* 1/945 (* x x)) -1/90) (* x x)) 1/6) (* x x)) 1/2) x) (+ (* (+ (* (+ (* 1/945 (* x x)) -1/90) (* x x)) 1/6) (* x x)) 1/2) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* -1/3 x) x) 1) (* -1/3 x) (* (+ (* (* -1/3 x) x) 1) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (* x x) x) -1/3) x) (* x x) (* (* x x) x) (/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (/ 1/2 x) (/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (/ (+ (* 1/6 (* x x)) 1/2) x) (+ (* 1/6 (* x x)) 1/2) (+ (* 1/945 (* x x)) -1/90))

4.0ms

inf

((/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (/ (+ (* (+ (* (+ (* 1/945 (* x x)) -1/90) (* x x)) 1/6) (* x x)) 1/2) x) (+ (* (+ (* (+ (* 1/945 (* x x)) -1/90) (* x x)) 1/6) (* x x)) 1/2) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* -1/3 x) x) 1) (* -1/3 x) (* (+ (* (* -1/3 x) x) 1) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (* x x) x) -1/3) x) (* x x) (* (* x x) x) (/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (/ 1/2 x) (/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (/ (+ (* 1/6 (* x x)) 1/2) x) (+ (* 1/6 (* x x)) 1/2) (+ (* 1/945 (* x x)) -1/90))

2.0ms

((/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (/ (+ (* (+ (* (+ (* 1/945 (* x x)) -1/90) (* x x)) 1/6) (* x x)) 1/2) x) (+ (* (+ (* (+ (* 1/945 (* x x)) -1/90) (* x x)) 1/6) (* x x)) 1/2) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* -1/3 x) x) 1) (* -1/3 x) (* (+ (* (* -1/3 x) x) 1) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (* x x) x) -1/3) x) (* x x) (* (* x x) x) (/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (/ 1/2 x) (/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (/ (+ (* 1/6 (* x x)) 1/2) x) (+ (* 1/6 (* x x)) 1/2) (+ (* 1/945 (* x x)) -1/90))

simplify185.0ms (1.9%)

Memory

14.8MiB live, 175.0MiB allocated

Algorithm

1×	egg-herbie

Rules

10 728×	`lower-fma.f64`
10 728×	`lower-fma.f32`
4 192×	`lower-*.f64`
4 192×	`lower-*.f32`
1 702×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	2208
1	290	2141
2	720	2141
3	2168	2114
4	6377	2114
0	8202	1994

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 233

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) x)
1/2
(+ 1/2 (* 1/6 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90)))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* -1/3 (pow x 2)))
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
1/2
(+ 1/2 (* 1/6 (pow x 2)))
(+ 1/2 (* 1/6 (pow x 2)))
(+ 1/2 (* 1/6 (pow x 2)))
-1/90
(- (* 1/945 (pow x 2)) 1/90)
(- (* 1/945 (pow x 2)) 1/90)
(- (* 1/945 (pow x 2)) 1/90)
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/945 (pow x 5))
(* (pow x 5) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/945 (/ 1/6 (pow x 4))) (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/945 (+ (/ 1/6 (pow x 4)) (* 1/2 (/ 1 (pow x 6))))) (* 1/90 (/ 1 (pow x 2)))))
(* 1/945 (pow x 6))
(* (pow x 6) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/945 (/ 1/6 (pow x 4))) (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/945 (+ (/ 1/6 (pow x 4)) (* 1/2 (/ 1 (pow x 6))))) (* 1/90 (/ 1 (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 (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(* -1/3 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/945 (pow x 2))
(* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/945 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/90 (/ 1 (pow x 2))) 1/945)))
(* -1 (* (pow x 5) (- (* 1/90 (/ 1 (pow x 2))) (+ 1/945 (/ 1/6 (pow x 4))))))
(* -1 (* (pow x 5) (- (+ (* -1 (/ (+ 1/6 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (* 1/90 (/ 1 (pow x 2)))) 1/945)))
(* 1/945 (pow x 6))
(* (pow x 6) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/945 (/ 1/6 (pow x 4))) (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/945 (+ (/ 1/6 (pow x 4)) (* 1/2 (/ 1 (pow x 6))))) (* 1/90 (/ 1 (pow x 2)))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(* -1/3 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/945 (pow x 2))
(* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/90 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/90 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal -1/90 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/3 (pow x 2)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64))
(+ 1 (* -1/3 (pow x 2)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64))
(+ 1 (* -1/3 (pow x 2)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64))
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/90 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/90 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
-1/90
#s(literal -1/90 binary64)
(- (* 1/945 (pow x 2)) 1/90)
(fma.f64 #s(literal 1/945 binary64) (*.f64 x x) #s(literal -1/90 binary64))
(- (* 1/945 (pow x 2)) 1/90)
(fma.f64 #s(literal 1/945 binary64) (*.f64 x x) #s(literal -1/90 binary64))
(- (* 1/945 (pow x 2)) 1/90)
(fma.f64 #s(literal 1/945 binary64) (*.f64 x x) #s(literal -1/90 binary64))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/945 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/945 binary64))
(* (pow x 5) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/945 binary64) (/.f64 #s(literal 1/90 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 1/945 (/ 1/6 (pow x 4))) (* 1/90 (/ 1 (pow x 2)))))
(.f64 (-.f64 (/.f64 #s(literal -1/90 binary64) (.f64 x x)) (-.f64 #s(literal -1/945 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 1/945 (+ (/ 1/6 (pow x 4)) (* 1/2 (/ 1 (pow x 6))))) (* 1/90 (/ 1 (pow x 2)))))
(.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/945 binary64)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/90 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 1/945 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/945 binary64))
(* (pow x 6) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/90 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/945 binary64)))
(* (pow x 6) (- (+ 1/945 (/ 1/6 (pow x 4))) (* 1/90 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/945 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/90 binary64)))
(* (pow x 6) (- (+ 1/945 (+ (/ 1/6 (pow x 4)) (* 1/2 (/ 1 (pow x 6))))) (* 1/90 (/ 1 (pow x 2)))))
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/945 binary64)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/90 binary64)))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64))
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
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(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
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(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* -1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(pow x 2)
(*.f64 x x)
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(*.f64 x x)
(pow x 2)
(*.f64 x x)
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(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
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(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
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(/ 1/2 x)
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(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
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(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
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(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
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(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
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(* 1/945 (pow x 2))
(.f64 #s(literal 1/945 binary64) (.f64 x x))
(* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/945 binary64) (*.f64 x x) #s(literal -1/90 binary64))
(* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/945 binary64) (*.f64 x x) #s(literal -1/90 binary64))
(* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/945 binary64) (*.f64 x x) #s(literal -1/90 binary64))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
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(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/945 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/945 binary64))
(* -1 (* (pow x 5) (- (* 1/90 (/ 1 (pow x 2))) 1/945)))
(.f64 (-.f64 #s(literal 1/945 binary64) (/.f64 #s(literal 1/90 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/90 (/ 1 (pow x 2))) (+ 1/945 (/ 1/6 (pow x 4))))))
(.f64 (-.f64 (/.f64 #s(literal -1/90 binary64) (.f64 x x)) (-.f64 #s(literal -1/945 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (+ (* -1 (/ (+ 1/6 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (* 1/90 (/ 1 (pow x 2)))) 1/945)))
(.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/90 binary64) (.f64 x x)) #s(literal 1/945 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* 1/945 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/945 binary64))
(* (pow x 6) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/90 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/945 binary64)))
(* (pow x 6) (- (+ 1/945 (/ 1/6 (pow x 4))) (* 1/90 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/945 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/90 binary64)))
(* (pow x 6) (- (+ 1/945 (+ (/ 1/6 (pow x 4)) (* 1/2 (/ 1 (pow x 6))))) (* 1/90 (/ 1 (pow x 2)))))
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/945 binary64)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/90 binary64)))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64))
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
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(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
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(* -1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
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(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* -1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))
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(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
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(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
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(pow x 2)
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(pow x 2)
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(pow x 2)
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(pow x 2)
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(pow x 3)
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(pow x 3)
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(pow x 3)
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(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
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(/ 1/2 x)
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(/ 1/2 x)
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(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* 1/945 (pow x 2))
(.f64 #s(literal 1/945 binary64) (.f64 x x))
(* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/945 binary64) (*.f64 x x) #s(literal -1/90 binary64))
(* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/945 binary64) (*.f64 x x) #s(literal -1/90 binary64))
(* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/945 binary64) (*.f64 x x) #s(literal -1/90 binary64))

rewrite234.0ms (2.4%)

Memory

-10.2MiB live, 187.9MiB allocated

Rules

4 996×	`lower-/.f32`
4 984×	`lower-/.f64`
4 188×	`lower-fma.f32`
4 176×	`lower-fma.f64`
4 058×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	246
0	60	218
1	248	212
2	1710	200
0	8226	200

Stop Event

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

Counts

20 → 434

Calls

Call 1

Inputs
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)))
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x))
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal -1/3 binary64) x)
(.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)
(*.f64 x x)
(.f64 (.f64 x x) x)
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)))
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/945 binary64) (*.f64 x x) #s(literal -1/90 binary64))

Outputs
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 2 binary64)))))
(.f64 (pow.f64 #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal -1/2 binary64) (pow.f64 (neg.f64 #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))))
(.f64 #s(literal 1/2 binary64) (pow.f64 #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)))
(pow.f64 (.f64 #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 2 binary64))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 (neg.f64 #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (.f64 #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))))
(exp.f64 (.f64 (log.f64 (.f64 #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 x (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 x (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) x) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) x) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)))) (pow.f64 x #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal -1/2 binary64)) x)))
(.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 x #s(literal 1/2 binary64)))) x)))
(.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1/2 binary64)))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64))))))
(.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) (*.f64 x #s(literal 1/2 binary64)))))))
(.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (/.f64 x (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) x)) (neg.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) x)) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x)))
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(.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/893025 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal 1/90 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/8100 binary64) (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal 1/90 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/893025 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal 1/90 binary64))) (/.f64 (.f64 #s(literal 1/893025 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal 1/90 binary64))) (fma.f64 (/.f64 #s(literal 1/8100 binary64) (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal 1/90 binary64))) (/.f64 #s(literal 1/8100 binary64) (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal 1/90 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/893025 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal 1/90 binary64))) (/.f64 #s(literal 1/8100 binary64) (fma.f64 (*.f64 x x) #s(literal 1/945 binary64) #s(literal 1/90 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/8100 binary64) (.f64 #s(literal 1/893025 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal -1/90 binary64) (.f64 (*.f64 x x) #s(literal 1/945 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/893025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8100 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/945 binary64) #s(literal 1/90 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/843908625 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/729000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/893025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/8100 binary64) (.f64 (.f64 x x) #s(literal -1/85050 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/893025 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal 1/90 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal 1/90 binary64)) #s(literal 1/8100 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal 1/90 binary64)) (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal 1/90 binary64))))
(/.f64 (-.f64 #s(literal 1/8100 binary64) (.f64 #s(literal 1/893025 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -1/90 binary64) (.f64 (*.f64 x x) #s(literal 1/945 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/893025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8100 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/945 binary64) #s(literal 1/90 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/843908625 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/729000 binary64))) (neg.f64 (+.f64 #s(literal 1/8100 binary64) (-.f64 (.f64 #s(literal 1/893025 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal -1/85050 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/843908625 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/729000 binary64))) (neg.f64 (fma.f64 #s(literal 1/893025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/8100 binary64) (.f64 (.f64 x x) #s(literal -1/85050 binary64))))))
(/.f64 (fma.f64 #s(literal 1/893025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8100 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/945 binary64) #s(literal 1/90 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)))))
(/.f64 (fma.f64 #s(literal 1/843908625 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/729000 binary64)) (+.f64 #s(literal 1/8100 binary64) (-.f64 (.f64 #s(literal 1/893025 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal -1/85050 binary64)))))
(/.f64 (fma.f64 #s(literal 1/843908625 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/729000 binary64)) (fma.f64 #s(literal 1/893025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/8100 binary64) (.f64 (.f64 x x) #s(literal -1/85050 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/90 binary64) (.f64 (.f64 x x) #s(literal 1/945 binary64))) (-.f64 #s(literal 1/8100 binary64) (*.f64 #s(literal 1/893025 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/8100 binary64) (-.f64 (.f64 #s(literal 1/893025 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal -1/85050 binary64)))) (fma.f64 #s(literal 1/843908625 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/729000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64))))
(fma.f64 (*.f64 #s(literal 1/945 binary64) x) x #s(literal -1/90 binary64))
(fma.f64 (.f64 #s(literal 1/893025 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal 1/90 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/8100 binary64) (fma.f64 (*.f64 x x) #s(literal 1/945 binary64) #s(literal 1/90 binary64)))))
(fma.f64 (*.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64))
(fma.f64 #s(literal 1/945 binary64) (*.f64 x x) #s(literal -1/90 binary64))
(fma.f64 x (*.f64 #s(literal 1/945 binary64) x) #s(literal -1/90 binary64))
(-.f64 (/.f64 #s(literal 1/8100 binary64) (-.f64 #s(literal -1/90 binary64) (.f64 (.f64 x x) #s(literal 1/945 binary64)))) (/.f64 (.f64 #s(literal 1/893025 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/90 binary64) (.f64 (*.f64 x x) #s(literal 1/945 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/893025 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal 1/90 binary64))) (/.f64 #s(literal 1/8100 binary64) (fma.f64 (*.f64 x x) #s(literal 1/945 binary64) #s(literal 1/90 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 1/893025 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal 1/90 binary64))) (neg.f64 (/.f64 #s(literal 1/8100 binary64) (fma.f64 (*.f64 x x) #s(literal 1/945 binary64) #s(literal 1/90 binary64)))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/945 binary64)) #s(literal -1/90 binary64))
(+.f64 #s(literal -1/90 binary64) (.f64 (.f64 x x) #s(literal 1/945 binary64)))

eval250.0ms (2.5%)

Memory: -2.1MiB live, 153.9MiB allocated
Compiler: Compiled 14 993 to 2 077 computations (86.1% saved)

prune66.0ms (0.7%)

Memory

22.3MiB live, 59.9MiB allocated

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	734	5	739
Fresh	1	0	1
Picked	1	4	5
Done	0	3	3
Total	736	12	748

Accuracy

100.0%

Counts

748 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.6%	(/.f64 (sinh.f64 x) (cosh.f64 x))
✓	97.3%	(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)))
▶	96.9%	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))))
✓	97.3%	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)))
▶	96.9%	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)))
✓	96.9%	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)))
▶	4.2%	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x)))
▶	4.3%	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) #s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x))))
✓	100.0%	(tanh.f64 x)
✓	96.8%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
✓	96.8%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x))
▶	96.3%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 #s(approx (+ ( (* -1/3 x) x) 1) #s(literal 1 binary64)) x))

Compiler

Compiled 164 to 124 computations (24.4% saved)

simplify204.0ms (2.1%)

Memory

-32.4MiB live, 146.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
cost-diff	0	(/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x)
cost-diff	0	#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x)))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
cost-diff	0	#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x)))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))))
cost-diff	0	(*.f64 #s(literal 1/6 binary64) x)
cost-diff	0	#s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x))
cost-diff	0	#s(approx (* (/ 1/2 (sinh x)) (cosh x)) #s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x)))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) #s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x))))
cost-diff	0	#s(approx (+ (* (* -1/3 x) x) 1) #s(literal 1 binary64))
cost-diff	0	(.f64 #s(approx (+ ( (* -1/3 x) x) 1) #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 #s(approx (+ ( (* -1/3 x) x) 1) #s(literal 1 binary64)) x))
cost-diff	0	(fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
cost-diff	0	#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)))

Rules

3 692×	`lower-fma.f32`
3 686×	`lower-fma.f64`
2 624×	`lower-*.f32`
2 616×	`lower-*.f64`
2 098×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	369
0	66	369
1	106	369
2	155	369
3	260	369
4	477	367
5	855	361
6	2868	361
7	7273	361
0	8075	345

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)))
#s(literal 1/2 binary64)
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64))
#s(literal -1/90 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 #s(approx (+ ( (* -1/3 x) x) 1) #s(literal 1 binary64)) x))
(.f64 #s(approx (+ ( (* -1/3 x) x) 1) #s(literal 1 binary64)) x)
#s(approx (+ (* (* -1/3 x) x) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
x
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) #s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x))))
#s(literal 1/2 binary64)
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) #s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x)))
#s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))))
#s(literal 1/2 binary64)
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
#s(literal 1/6 binary64)
x
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x)))
#s(literal 1/2 binary64)
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x))
(/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x)
#s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
x

Outputs
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ ( 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)))
#s(literal 1/2 binary64)
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ ( 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ ( 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(approx (+ ( 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (.f64 x x) #s(approx (+ ( 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64))
#s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64))
#s(literal -1/90 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 #s(approx (+ ( (* -1/3 x) x) 1) #s(literal 1 binary64)) x))
(.f64 #s(approx (+ ( (* -1/3 x) x) 1) #s(literal 1 binary64)) x)
#s(approx (+ (* (* -1/3 x) x) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
x
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) #s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x))))
#s(literal 1/2 binary64)
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) #s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x)))
#s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))))
#s(literal 1/2 binary64)
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
#s(literal 1/6 binary64)
x
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x)))
#s(literal 1/2 binary64)
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x))
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x))
(/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x)
(/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x)
#s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
#s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
#s(literal 1/6 binary64)
(*.f64 x x)
x

localize245.0ms (2.5%)

Memory

-21.1MiB live, 375.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.19140625	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x)))
accuracy	0.24609375	(.f64 #s(literal 1/6 binary64) (.f64 x x))
accuracy	1.8022205719763984	#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x))
accuracy	60.093212133891576	#s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
accuracy	0	(/.f64 #s(literal 1/2 binary64) x)
accuracy	0.015625	(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
accuracy	0.19140625	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))))
accuracy	1.8022205719763984	#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x)))
accuracy	0.19140625	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) #s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x))))
accuracy	0.32421875	(*.f64 #s(literal 1/6 binary64) x)
accuracy	1.8022205719763984	#s(approx (* (/ 1/2 (sinh x)) (cosh x)) #s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x)))
accuracy	60.355876003088355	#s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x))
accuracy	0.01171875	(.f64 #s(approx (+ ( (* -1/3 x) x) 1) #s(literal 1 binary64)) x)
accuracy	2.0269737908580834	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 #s(approx (+ ( (* -1/3 x) x) 1) #s(literal 1 binary64)) x))
accuracy	2.5526828723755597	#s(approx (+ (* (* -1/3 x) x) 1) #s(literal 1 binary64))
accuracy	0.02734375	(/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
accuracy	0.19140625	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)))
accuracy	1.4976728675584914	#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
accuracy	2.4664520481229464	#s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64))

Samples

132.0ms	148×	1	valid
77.0ms	86×	2	valid
6.0ms	22×	0	valid

Compiler

Compiled 219 to 38 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 171.0ms

ival-exp: 45.0ms (26.2% of total)

ival-add: 41.0ms (23.9% of total)

ival-mult: 23.0ms (13.4% of total)

adjust: 20.0ms (11.7% of total)

const: 18.0ms (10.5% of total)

ival-div: 16.0ms (9.3% of total)

ival-cosh: 3.0ms (1.7% of total)

ival-sub: 3.0ms (1.7% of total)

ival-sinh: 2.0ms (1.2% of total)

ival-neg: 1.0ms (0.6% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory

3.1MiB live, 41.7MiB allocated

Counts

21 → 252

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)) (patch #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) (patch (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 #s(approx (+ ( (* -1/3 x) x) 1) #s(literal 1 binary64)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 #s(approx (+ ( (* -1/3 x) x) 1) #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( (* -1/3 x) x) 1) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (+ ( (* -1/3 x) x) 1) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* -1/3 x) x) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* -1/3 x) x) 1) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) #s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (.f64 #s(literal 1/6 binary64) x)))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx ( (/ 1/2 (sinh x)) (cosh x)) #s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x)))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) #s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (.f64 #s(literal 1/6 binary64) x))) (patch #s(approx ( (/ 1/2 (sinh x)) (cosh x)) #s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (.f64 #s(literal 1/6 binary64) x)) (patch #s(approx (/ (+ ( 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x)))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x)))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))) (patch #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x)) (patch (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x)) (patch #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x) (patch (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) (patch #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (patch #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/6 binary64) (.f64 x x)) (patch (.f64 #s(literal 1/6 binary64) (.f64 x x)) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 x) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 x) (taylor 0 x) (#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)) (patch #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* 1/6 (pow x 2))) x) (taylor 0 x) (#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)) (patch #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x) (taylor 0 x) (#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)) (patch #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) x) (taylor 0 x) (#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)) (patch #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 x) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) (patch (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* 1/6 (pow x 2))) x) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) (patch (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) (patch (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
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#s(alt (/ 1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x)) (patch #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x)) (patch #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x)) (patch #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x)) (patch #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x) (patch (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x) (patch (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x) (patch (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x) (patch (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) (patch #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) (patch #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) (patch #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) (patch #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 1/945 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (patch #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (patch #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (patch #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (patch #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 1/6 binary64) (.f64 x x)) (patch (.f64 #s(literal 1/6 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 1/6 binary64) (.f64 x x)) (patch (.f64 #s(literal 1/6 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 1/6 binary64) (.f64 x x)) (patch (.f64 #s(literal 1/6 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 1/6 binary64) (.f64 x x)) (patch (.f64 #s(literal 1/6 binary64) (.f64 x x)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

inf

((/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (/ (+ (* (+ (* (+ (* 1/945 (* x x)) -1/90) (* x x)) 1/6) (* x x)) 1/2) x) (+ (* (+ (* (+ (* 1/945 (* x x)) -1/90) (* x x)) 1/6) (* x x)) 1/2) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* (+ (* (* -1/3 x) x) 1) x) (+ (* (* -1/3 x) x) 1) (/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (/ (+ (* 1/6 (* x x)) 1/2) x) (* 1/6 x) (/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (+ (* 1/6 x) (/ 1/2 x)) (/ 1/2 x) (/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (/ (+ (* 1/6 (* x x)) 1/2) x) (+ (* 1/6 (* x x)) 1/2) (+ (* 1/945 (* x x)) -1/90) (* 1/6 (* x x)))

3.0ms

-inf

((/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (/ (+ (* (+ (* (+ (* 1/945 (* x x)) -1/90) (* x x)) 1/6) (* x x)) 1/2) x) (+ (* (+ (* (+ (* 1/945 (* x x)) -1/90) (* x x)) 1/6) (* x x)) 1/2) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* (+ (* (* -1/3 x) x) 1) x) (+ (* (* -1/3 x) x) 1) (/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (/ (+ (* 1/6 (* x x)) 1/2) x) (* 1/6 x) (/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (+ (* 1/6 x) (/ 1/2 x)) (/ 1/2 x) (/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (/ (+ (* 1/6 (* x x)) 1/2) x) (+ (* 1/6 (* x x)) 1/2) (+ (* 1/945 (* x x)) -1/90) (* 1/6 (* x x)))

2.0ms

((/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (/ (+ (* (+ (* (+ (* 1/945 (* x x)) -1/90) (* x x)) 1/6) (* x x)) 1/2) x) (+ (* (+ (* (+ (* 1/945 (* x x)) -1/90) (* x x)) 1/6) (* x x)) 1/2) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* (+ (* (* -1/3 x) x) 1) x) (+ (* (* -1/3 x) x) 1) (/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (/ (+ (* 1/6 (* x x)) 1/2) x) (* 1/6 x) (/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (+ (* 1/6 x) (/ 1/2 x)) (/ 1/2 x) (/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (/ (+ (* 1/6 (* x x)) 1/2) x) (+ (* 1/6 (* x x)) 1/2) (+ (* 1/945 (* x x)) -1/90) (* 1/6 (* x x)))

simplify159.0ms (1.6%)

Memory

38.4MiB live, 196.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 728×	`lower-fma.f64`
10 728×	`lower-fma.f32`
4 192×	`lower-*.f64`
4 192×	`lower-*.f32`
1 702×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	114	2452
1	288	2403
2	722	2403
3	2171	2338
4	6447	2338
0	8276	2203

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 246

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) x)
1/2
(+ 1/2 (* 1/6 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90)))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* -1/3 (pow x 2)))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
1/2
(+ 1/2 (* 1/6 (pow x 2)))
(+ 1/2 (* 1/6 (pow x 2)))
(+ 1/2 (* 1/6 (pow x 2)))
-1/90
(- (* 1/945 (pow x 2)) 1/90)
(- (* 1/945 (pow x 2)) 1/90)
(- (* 1/945 (pow x 2)) 1/90)
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/945 (pow x 5))
(* (pow x 5) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/945 (/ 1/6 (pow x 4))) (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/945 (+ (/ 1/6 (pow x 4)) (* 1/2 (/ 1 (pow x 6))))) (* 1/90 (/ 1 (pow x 2)))))
(* 1/945 (pow x 6))
(* (pow x 6) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/945 (/ 1/6 (pow x 4))) (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/945 (+ (/ 1/6 (pow x 4)) (* 1/2 (/ 1 (pow x 6))))) (* 1/90 (/ 1 (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 (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/945 (pow x 2))
(* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/945 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/90 (/ 1 (pow x 2))) 1/945)))
(* -1 (* (pow x 5) (- (* 1/90 (/ 1 (pow x 2))) (+ 1/945 (/ 1/6 (pow x 4))))))
(* -1 (* (pow x 5) (- (+ (* -1 (/ (+ 1/6 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (* 1/90 (/ 1 (pow x 2)))) 1/945)))
(* 1/945 (pow x 6))
(* (pow x 6) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/945 (/ 1/6 (pow x 4))) (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/945 (+ (/ 1/6 (pow x 4)) (* 1/2 (/ 1 (pow x 6))))) (* 1/90 (/ 1 (pow x 2)))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1/3 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/945 (pow x 2))
(* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/90 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/90 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal -1/90 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/3 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))
(+ 1 (* -1/3 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))
(+ 1 (* -1/3 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/90 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/90 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/90 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
-1/90
#s(literal -1/90 binary64)
(- (* 1/945 (pow x 2)) 1/90)
(fma.f64 #s(literal 1/945 binary64) (*.f64 x x) #s(literal -1/90 binary64))
(- (* 1/945 (pow x 2)) 1/90)
(fma.f64 #s(literal 1/945 binary64) (*.f64 x x) #s(literal -1/90 binary64))
(- (* 1/945 (pow x 2)) 1/90)
(fma.f64 #s(literal 1/945 binary64) (*.f64 x x) #s(literal -1/90 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/945 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/945 binary64))
(* (pow x 5) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/945 binary64) (/.f64 #s(literal 1/90 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 1/945 (/ 1/6 (pow x 4))) (* 1/90 (/ 1 (pow x 2)))))
(.f64 (-.f64 (/.f64 #s(literal -1/90 binary64) (.f64 x x)) (-.f64 #s(literal -1/945 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 1/945 (+ (/ 1/6 (pow x 4)) (* 1/2 (/ 1 (pow x 6))))) (* 1/90 (/ 1 (pow x 2)))))
(.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/945 binary64)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/90 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 1/945 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/945 binary64))
(* (pow x 6) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/90 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/945 binary64)))
(* (pow x 6) (- (+ 1/945 (/ 1/6 (pow x 4))) (* 1/90 (/ 1 (pow x 2)))))
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(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* 1/945 (pow x 2))
(.f64 #s(literal 1/945 binary64) (.f64 x x))
(* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/945 binary64) (*.f64 x x) #s(literal -1/90 binary64))
(* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/945 binary64) (*.f64 x x) #s(literal -1/90 binary64))
(* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/945 binary64) (*.f64 x x) #s(literal -1/90 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))

rewrite194.0ms (2%)

Memory

-4.9MiB live, 275.4MiB allocated

Rules

5 416×	`lower-/.f32`
5 402×	`lower-/.f64`
4 368×	`lower-*.f32`
4 360×	`lower-*.f64`
3 810×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	334
0	66	323
1	262	315
2	1785	315
0	8493	300

Stop Event

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

Counts

21 → 248

Calls

Call 1

Inputs
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)))
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 #s(approx (+ ( (* -1/3 x) x) 1) #s(literal 1 binary64)) x))
(.f64 #s(approx (+ ( (* -1/3 x) x) 1) #s(literal 1 binary64)) x)
#s(approx (+ (* (* -1/3 x) x) 1) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) #s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x))))
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) #s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x)))
#s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x))
(*.f64 #s(literal 1/6 binary64) x)
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x)))
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x))
(/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x)
#s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
#s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))

Outputs
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ ( 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 2 binary64)))))
(.f64 (pow.f64 #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ ( 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal -1/2 binary64) (pow.f64 (neg.f64 #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ ( 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ ( 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))))
(.f64 #s(literal 1/2 binary64) (pow.f64 #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ ( 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)))
(pow.f64 (.f64 #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ ( 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ ( 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 2 binary64))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 (neg.f64 #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ ( 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ ( 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ ( 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ ( 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ ( 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ ( 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ ( 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))))
(exp.f64 (.f64 (log.f64 (.f64 #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ ( 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ ( 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 x (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ ( 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 x (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(approx (+ ( 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(approx (+ ( 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64)) x) (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(approx (+ ( 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ ( 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(approx (+ ( 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(approx (+ ( 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(approx (+ ( 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64)) x) (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ ( 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))) (pow.f64 x #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(approx (+ ( 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x)))
(.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(approx (+ ( 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(approx (+ ( 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64)) x) (*.f64 x #s(literal 1/2 binary64)))) x)))
(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1/2 binary64)))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))))
(.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(approx (+ ( 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64)) x) (*.f64 x #s(literal 1/2 binary64)))))))
(.f64 (neg.f64 (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
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(neg.f64 (/.f64 #s(literal -1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x))))
(exp.f64 (.f64 (log.f64 (.f64 #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x))
(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(approx (+ ( 1/6 (* x x)) 1/2) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) #s(literal -1 binary64)))
(.f64 (.f64 (neg.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 (.f64 #s(literal 1/6 binary64) x) x))) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (neg.f64 (neg.f64 #s(approx (+ ( 1/6 (* x x)) 1/2) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))) (pow.f64 x #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x #s(approx (+ ( 1/6 (* x x)) 1/2) (.f64 (.f64 #s(literal 1/6 binary64) x) x))))))
(.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (+ ( 1/6 (* x x)) 1/2) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (+ ( 1/6 (* x x)) 1/2) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
(.f64 (neg.f64 #s(approx (+ ( 1/6 (* x x)) 1/2) (.f64 (.f64 #s(literal 1/6 binary64) x) x))) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(.f64 #s(approx (+ ( 1/6 (* x x)) 1/2) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) (pow.f64 x #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ ( 1/6 (* x x)) 1/2) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x))
(pow.f64 (/.f64 x #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 (.f64 #s(literal 1/6 binary64) x) x))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (neg.f64 #s(approx (+ ( 1/6 (* x x)) 1/2) (.f64 (.f64 #s(literal 1/6 binary64) x) x))) #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 #s(approx (+ ( 1/6 (* x x)) 1/2) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 (.f64 #s(literal 1/6 binary64) x) x))))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (.f64 (neg.f64 #s(approx (+ ( 1/6 (* x x)) 1/2) (.f64 (.f64 #s(literal 1/6 binary64) x) x))) #s(literal -1 binary64)) x)
(/.f64 (.f64 #s(approx (+ ( 1/6 (* x x)) 1/2) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))))
(/.f64 (neg.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 (.f64 #s(literal 1/6 binary64) x) x))) (neg.f64 x))
(/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 (neg.f64 #s(approx (+ ( 1/6 (* x x)) 1/2) (.f64 (.f64 #s(literal 1/6 binary64) x) x))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 #s(approx (+ ( 1/6 (* x x)) 1/2) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 (.f64 #s(literal 1/6 binary64) x) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 (.f64 #s(literal 1/6 binary64) x) x))))
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 (.f64 #s(literal 1/6 binary64) x) x))) x))
(neg.f64 (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) (neg.f64 x)))
(exp.f64 (.f64 (log.f64 (/.f64 x #s(approx (+ ( 1/6 (* x x)) 1/2) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))) #s(literal -1 binary64)))
#s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
#s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 x (.f64 #s(literal 1/6 binary64) x))

eval60.0ms (0.6%)

Memory: 8.0MiB live, 164.0MiB allocated
Compiler: Compiled 8 845 to 1 123 computations (87.3% saved)

prune17.0ms (0.2%)

Memory

-20.8MiB live, 55.4MiB allocated

Pruning

12 alts after pruning (0 fresh and 12 done)

	Pruned	Kept	Total
New	494	0	494
Fresh	0	0	0
Picked	0	5	5
Done	0	7	7
Total	494	12	506

Accuracy

100.0%

Counts

506 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.6%	(/.f64 (sinh.f64 x) (cosh.f64 x))
✓	97.3%	(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)))
✓	96.9%	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))))
✓	97.3%	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)))
✓	96.9%	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)))
✓	96.9%	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)))
✓	4.2%	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x)))
✓	4.3%	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) #s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x))))
✓	100.0%	(tanh.f64 x)
✓	96.8%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
✓	96.8%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x))
✓	96.3%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 #s(approx (+ ( (* -1/3 x) x) 1) #s(literal 1 binary64)) x))

Compiler

Compiled 272 to 156 computations (42.6% saved)

regimes12.0ms (0.1%)

Memory

-11.5MiB live, 27.0MiB allocated

Counts

16 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 #s(approx (+ ( (* -1/3 x) x) 1) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) #s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/90 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)))
(tanh.f64 x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs
(tanh.f64 x)

Calls

2 calls:

5.0ms	x
4.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes7.0ms (0.1%)

Memory

18.5MiB live, 18.5MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 #s(approx (+ ( (* -1/3 x) x) 1) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) #s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/90 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)))

Outputs

(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (*.f64 x x) #s(literal -1/90 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)))

Calls

2 calls:

4.0ms	x
3.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
97.3%	1	`x`
97.3%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes7.0ms (0.1%)

Memory

18.6MiB live, 18.6MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 #s(approx (+ ( (* -1/3 x) x) 1) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) #s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/90 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)))

Outputs

(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/90 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)))

Calls

2 calls:

3.0ms	x
3.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
96.9%	1	`x`
96.9%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes26.0ms (0.3%)

Memory

-10.7MiB live, 37.2MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 #s(approx (+ ( (* -1/3 x) x) 1) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) #s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)))

Outputs
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))))

Calls

2 calls:

22.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
3.0ms	x

Results

Accuracy	Segments	Branch
96.9%	1	`x`
96.9%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes6.0ms (0.1%)

Memory

-24.6MiB live, 14.1MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 #s(approx (+ ( (* -1/3 x) x) 1) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) #s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x)))

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))

Calls

2 calls:

3.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2.0ms	x

Results

Accuracy	Segments	Branch
96.8%	1	`x`
96.8%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes3.0ms (0%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 #s(approx (+ (* (* -1/3 x) x) 1) #s(literal 1 binary64)) x))

#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x))

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x))

Calls

2 calls:

1.0ms	x
1.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
96.8%	1	`x`
96.8%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes2.0ms (0%)

Memory

7.4MiB live, 7.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 #s(approx (+ ( (* -1/3 x) x) 1) #s(literal 1 binary64)) x))

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 #s(approx (+ ( (* -1/3 x) x) 1) #s(literal 1 binary64)) x))

Calls

2 calls:

1.0ms	x
1.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
96.3%	1	`x`
96.3%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 14 to 8 computations (42.9% saved)

simplify24.0ms (0.2%)

Memory

-11.3MiB live, 66.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`-commutative-binary64-.f64`
2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	138
1	54	138

Stop Event

1×

saturated

Calls

Call 1

Inputs
(tanh.f64 x)
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/90 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 #s(approx (+ ( (* -1/3 x) x) 1) #s(literal 1 binary64)) x))

Outputs
(tanh.f64 x)
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/90 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 #s(approx (+ ( (* -1/3 x) x) 1) #s(literal 1 binary64)) x))

soundness942.0ms (9.6%)

Memory

-7.1MiB live, 794.7MiB allocated

Rules

14 672×	`lower-fma.f64`
14 672×	`lower-fma.f32`
12 890×	`lower-fma.f64`
12 890×	`lower-fma.f32`
10 728×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	2208
1	290	2141
2	720	2141
3	2168	2114
4	6377	2114
0	8202	1994
0	123	1222
1	316	1174
2	775	1174
3	2225	1174
4	4060	1174
5	6638	1174
0	8191	1117
0	7	30
0	13	15
1	55	15
2	424	15
3	7080	15
0	8062	15
0	20	60
0	30	39
1	128	38
2	877	36
0	9216	36
0	90	425
1	259	424
2	604	414
3	1672	414
4	2645	414
5	4176	414
6	4889	414
7	6516	414
0	8145	386

Stop Event

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

Compiler

Compiled 223 to 132 computations (40.8% saved)

preprocess68.0ms (0.7%)

Memory: 9.7MiB live, 162.1MiB allocated
Remove: (negabs x)
Compiler: Compiled 172 to 86 computations (50% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample4.6s (46.6%)

explain211.0ms (2.1%)

preprocess96.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify38.0ms (0.4%)

localize469.0ms (4.8%)

series4.0ms (0%)

simplify149.0ms (1.5%)

rewrite158.0ms (1.6%)

eval93.0ms (0.9%)

prune15.0ms (0.2%)

simplify97.0ms (1%)

localize121.0ms (1.2%)

series18.0ms (0.2%)

simplify152.0ms (1.5%)

rewrite209.0ms (2.1%)

eval217.0ms (2.2%)

prune31.0ms (0.3%)

simplify125.0ms (1.3%)

localize284.0ms (2.9%)

series40.0ms (0.4%)

simplify185.0ms (1.9%)

rewrite234.0ms (2.4%)

eval250.0ms (2.5%)

prune66.0ms (0.7%)

simplify204.0ms (2.1%)

localize245.0ms (2.5%)

series19.0ms (0.2%)

simplify159.0ms (1.6%)

rewrite194.0ms (2%)

eval60.0ms (0.6%)

prune17.0ms (0.2%)

regimes12.0ms (0.1%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes26.0ms (0.3%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

simplify24.0ms (0.2%)

soundness942.0ms (9.6%)

preprocess68.0ms (0.7%)

end0.0ms (0%)

Profiling