Metrics for Linear.Quaternion:$ctan from linear-1.19.1.3

analyze105.0ms (0.8%)

Memory

-13.5MiB live, 104.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	5
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	6
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	7
65.6%	65.5%	34.3%	0.1%	0%	0%	0%	8
65.6%	65.5%	34.3%	0.1%	0%	0%	0%	9
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	10
82%	81.9%	17.9%	0.1%	0%	0%	0%	11
82%	81.9%	17.9%	0.1%	0%	0%	0%	12

Compiler

Compiled 10 to 9 computations (10% saved)

sample750.0ms (5.7%)

Memory

22.2MiB live, 1 213.6MiB allocated

Samples

513.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 329.0ms

ival-div: 165.0ms (50.2% of total)

ival-cosh: 106.0ms (32.2% of total)

ival-mult: 49.0ms (14.9% of total)

ival-true: 5.0ms (1.5% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

preprocess159.0ms (1.2%)

Memory

0.9MiB live, 153.6MiB allocated

Algorithm

1×	egg-herbie

Rules

1 288×	`lower-*.f32`
1 286×	`lower-*.f64`
1 168×	`neg-sub0`
1 164×	`times-frac`
774×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	87
1	106	75
2	336	75
3	1231	75
4	4255	75
5	7562	75
0	7	8
0	11	8
1	22	8
2	45	8
3	94	8
4	191	8
5	299	8
6	487	8
7	1061	8
8	2206	8
9	2598	8
10	2799	8
11	2810	8
12	2810	8
13	2847	8
14	2852	8
15	2854	8
16	2859	8
17	2859	8
0	2859	8

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Outputs
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))

Symmetry

(negabs z)

(negabs y)

(negabs x)

explain163.0ms (1.2%)

Memory

-15.7MiB live, 167.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
29	-	-	`(*.f64 (cosh.f64 x) (/.f64 y x))`
8	-	-	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
0	-	-	`(/.f64 y x)`
0	-	-	`y`
0	-	-	`(cosh.f64 x)`
0	-	-	`z`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(*.f64 (cosh.f64 x) (/.f64 y x))`	*ou**	29	0
↳	`(cosh.f64 x)`	overflow	133
↳	`(/.f64 y x)`	underflow	29
`/.f64`	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`	o/n	8	0
↳	`(cosh.f64 x)`	overflow	133
↳	`(/.f64 y x)`	overflow	33
↳	`(*.f64 (cosh.f64 x) (/.f64 y x))`	overflow	166

Confusion

	Predicted +	Predicted -
+	37	0
-	0	219

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	37	0	0
-	0	0	219

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	219
1	37

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

34.0ms

512×

valid

Compiler

Compiled 70 to 32 computations (54.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-div: 9.0ms (51.1% of total)

ival-cosh: 5.0ms (28.4% of total)

ival-mult: 3.0ms (17% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.6%	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify114.0ms (0.9%)

Memory

4.8MiB live, 82.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(cosh.f64 x)
✓	cost-diff	0	(*.f64 (cosh.f64 x) (/.f64 y x))
✓	cost-diff	384	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Rules

1 288×	`lower-*.f32`
1 286×	`lower-*.f64`
1 164×	`times-frac`
764×	`lower-fma.f64`
764×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	22
0	11	22
1	22	22
2	45	22
3	94	22
4	191	22
5	299	22
6	487	22
7	1061	22
8	2206	22
9	2598	22
10	2799	22
11	2810	22
12	2810	22
13	2847	22
14	2852	22
15	2854	22
16	2859	22
17	2859	22
0	2859	22

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(*.f64 (cosh.f64 x) (/.f64 y x))
(cosh.f64 x)
x
(/.f64 y x)
y
z

Outputs
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))
(*.f64 (cosh.f64 x) (/.f64 y x))
(/.f64 (*.f64 (cosh.f64 x) y) x)
(cosh.f64 x)
x
(/.f64 y x)
y
z

localize26.0ms (0.2%)

Memory

-8.4MiB live, 34.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(cosh.f64 x)
✓	accuracy	96.9%	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
✓	accuracy	91.0%	(*.f64 (cosh.f64 x) (/.f64 y x))

Samples

16.0ms

256×

valid

Compiler

Compiled 24 to 9 computations (62.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 3.0ms (40.7% of total)

ival-cosh: 3.0ms (40.7% of total)

ival-mult: 1.0ms (13.6% of total)

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

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

series18.0ms (0.1%)

Memory

-10.2MiB live, 27.8MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#<alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)>
#<alt (*.f64 (cosh.f64 x) (/.f64 y x))>
#<alt (cosh.f64 x)>
#<alt (/.f64 y x)>

Outputs
#<alt (/ y (* x z))>
#<alt (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)>
#<alt (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)>
#<alt (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (/ y x)>
#<alt (/ (+ y (* 1/2 (* (pow x 2) y))) x)>
#<alt (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x)>
#<alt (/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x)>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	(/ (* (cosh x) (/ y x)) z)
2.0ms	x	@	-inf	(/ (* (cosh x) (/ y x)) z)
2.0ms	x	@	inf	(/ (* (cosh x) (/ y x)) z)
2.0ms	y	@	0	(/ (* (cosh x) (/ y x)) z)
1.0ms	z	@	0	(/ (* (cosh x) (/ y x)) z)

simplify434.0ms (3.3%)

Memory

18.1MiB live, 531.4MiB allocated

Algorithm

1×	egg-herbie

Rules

15 684×	`lower-fma.f64`
15 684×	`lower-fma.f32`
5 420×	`lower-*.f64`
5 420×	`lower-*.f32`
2 024×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	1004
1	201	1000
2	599	988
3	1416	982
4	2110	982
5	2777	980
6	3318	980
7	4807	976
8	5464	976
9	5934	976
10	6466	976
11	7754	976
0	8037	958

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(/ y (* x z))
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/ y x)
(/ (+ y (* 1/2 (* (pow x 2) y))) x)
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x)
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)

Outputs
(/ y (* x z))
(/.f64 y (*.f64 x z))
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(/.f64 (fma.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x x)) y) (*.f64 x z))
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (.f64 x z))
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)
(/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(/ y x)
(/.f64 y x)
(/ (+ y (* 1/2 (* (pow x 2) y))) x)
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x)
(/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x)
(.f64 (/.f64 y x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 y #s(literal 1/2 binary64)) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 y #s(literal 1/2 binary64)) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 y #s(literal 1/2 binary64)) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 y #s(literal 1/2 binary64)) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 y #s(literal 1/2 binary64)) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 y #s(literal 1/2 binary64)) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 y #s(literal 1/2 binary64)) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 y #s(literal 1/2 binary64)) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 y #s(literal 1/2 binary64)) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 y #s(literal 1/2 binary64)) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 y #s(literal 1/2 binary64)) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 y #s(literal 1/2 binary64)) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 y #s(literal 1/2 binary64)) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 y #s(literal 1/2 binary64)) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 y #s(literal 1/2 binary64)) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 y #s(literal 1/2 binary64)) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 y #s(literal 1/2 binary64)) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 y #s(literal 1/2 binary64)) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 y #s(literal 1/2 binary64)) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 y #s(literal 1/2 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 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)

rewrite249.0ms (1.9%)

Memory

-7.3MiB live, 344.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 410×	`lower-/.f32`
3 406×	`lower-/.f64`
3 324×	`lower-*.f32`
3 322×	`lower-*.f64`
1 104×	`frac-2neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
0	11	19
1	36	19
2	208	19
3	2161	19
0	8571	19

Stop Event

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

Counts

4 → 385

Calls

Call 1

Inputs
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(*.f64 (cosh.f64 x) (/.f64 y x))
(cosh.f64 x)
(/.f64 y x)

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

eval54.0ms (0.4%)

Memory: 23.0MiB live, 101.7MiB allocated
Compiler: Compiled 6 720 to 1 065 computations (84.2% saved)

prune76.0ms (0.6%)

Memory

-21.3MiB live, 162.7MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	466	15	481
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	467	15	482

Accuracy

100.0%

Counts

482 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.2%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 z) (.f64 (cosh.f64 x) (/.f64 y (neg.f64 x))))) (*.f64 (neg.f64 z) z))
	77.5%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z)
▶	80.9%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
	70.6%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
▶	97.9%	(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)
▶	66.8%	(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z)
▶	84.7%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z)
	46.9%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
	91.6%	(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))
	95.9%	(*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z))
	83.0%	(.f64 y (/.f64 (cosh.f64 x) (.f64 x z)))
	69.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x x)) y) (*.f64 x z)))
	76.8%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)))
	72.2%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (.f64 x z)))
▶	46.6%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))

Compiler

Compiled 486 to 288 computations (40.7% saved)

simplify301.0ms (2.3%)

Memory

17.5MiB live, 522.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
✓	cost-diff	0	#s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x))
✓	cost-diff	384	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
✓	cost-diff	0	(fma.f64 x (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y)
✓	cost-diff	0	#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x))
✓	cost-diff	0	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z)
✓	cost-diff	320	(/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))
✓	cost-diff	0	#s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)))
✓	cost-diff	0	(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z)
✓	cost-diff	0	(*.f64 x z)
✓	cost-diff	0	(/.f64 y (*.f64 x z))
✓	cost-diff	0	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))
✓	cost-diff	0	(cosh.f64 x)
✓	cost-diff	0	(/.f64 (cosh.f64 x) z)
✓	cost-diff	0	(*.f64 y (/.f64 (cosh.f64 x) z))
✓	cost-diff	384	(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)

Rules

7 774×	`lower-fma.f32`
7 762×	`lower-fma.f64`
3 828×	`lower-*.f32`
3 810×	`lower-*.f64`
1 548×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	330
0	69	330
1	137	330
2	315	330
3	685	330
4	985	330
5	1114	330
6	1521	330
7	2275	330
8	3334	327
9	4005	327
10	4263	327
11	4559	327
12	4757	327
13	5216	327
0	8086	324

Stop Event

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

Calls

Call 1

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

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

localize139.0ms (1.1%)

Memory

-14.7MiB live, 312.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
✓	accuracy	96.9%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
✓	accuracy	92.1%	#s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
✓	accuracy	91.0%	(.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x))
✓	accuracy	96.9%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z)
✓	accuracy	96.0%	(/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)
✓	accuracy	94.4%	(.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
✓	accuracy	82.0%	#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x))
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	96.9%	(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z)
✓	accuracy	63.4%	#s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)))
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	91.9%	(/.f64 y (*.f64 x z))
✓	accuracy	50.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))
✓	accuracy	100.0%	(cosh.f64 x)
✓	accuracy	100.0%	(/.f64 (cosh.f64 x) z)
✓	accuracy	99.8%	(*.f64 y (/.f64 (cosh.f64 x) z))
✓	accuracy	98.0%	(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)

Samples

73.0ms

256×

valid

Compiler

Compiled 241 to 37 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 20.0ms (39.1% of total)

ival-div: 11.0ms (21.5% of total)

ival-add: 7.0ms (13.7% of total)

ival-cosh: 7.0ms (13.7% of total)

const: 6.0ms (11.7% of total)

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

exact: 0.0ms (0% of total)

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

series33.0ms (0.3%)

Memory

-5.8MiB live, 74.9MiB allocated

Counts

22 → 552

Calls

Call 1

Inputs
#<alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)>
#<alt (*.f64 y (/.f64 (cosh.f64 x) z))>
#<alt (/.f64 (cosh.f64 x) z)>
#<alt (cosh.f64 x)>
#<alt #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (*.f64 x z)>
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Outputs
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#<alt (/ y x)>
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#<alt y>
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#<alt (/ y (* x z))>
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#<alt (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)>
#<alt (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
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#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
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#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
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#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
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#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
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#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (/ y x)>
#<alt (/ (+ y (* 1/2 (* (pow x 2) y))) x)>
#<alt (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x)>
#<alt (/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x)>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))>
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#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))>
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#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))>
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#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
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#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
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#<alt (* 1/720 (pow x 6))>
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#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
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#<alt (/ y x)>
#<alt (/ y x)>
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#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
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#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (* y (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* y (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* y (+ 1/2 (* 1/24 (pow x 2))))>
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#<alt (* y (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* y (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* y (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* y (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* y (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* y (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* y (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* y (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* 1/2 y)>
#<alt (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))>
#<alt (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))>
#<alt (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))>
#<alt (* 1/24 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))>
#<alt (* 1/24 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))>
#<alt 1/24>
#<alt (+ 1/24 (* 1/720 (pow x 2)))>
#<alt (+ 1/24 (* 1/720 (pow x 2)))>
#<alt (+ 1/24 (* 1/720 (pow x 2)))>
#<alt (* 1/720 (pow x 2))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/720 (pow x 2))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>

Calls

138 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(/ y (* x z))
2.0ms	x	@	0	(/ (cosh x) z)
1.0ms	y	@	0	(/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x)
1.0ms	y	@	inf	(/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x)
1.0ms	x	@	inf	(/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x)

simplify519.0ms (4%)

Memory

8.9MiB live, 600.1MiB allocated

Algorithm

1×	egg-herbie

Rules

17 346×	`lower-fma.f64`
17 346×	`lower-fma.f32`
4 110×	`lower-*.f64`
4 110×	`lower-*.f32`
2 434×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	164	6146
1	520	6140
2	1619	6042
3	3411	5984
4	6834	5982
0	8324	5773

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 551

Calls

Call 1

Inputs
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/ y (* x z))
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
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(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
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(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
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(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(/ y z)
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z))
(+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
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(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(* y (+ 1/2 (* 1/24 (pow x 2))))
(* y (+ 1/2 (* 1/24 (pow x 2))))
(* y (+ 1/2 (* 1/24 (pow x 2))))
(* y (+ 1/2 (* 1/24 (pow x 2))))
(* y (+ 1/2 (* 1/24 (pow x 2))))
(* y (+ 1/2 (* 1/24 (pow x 2))))
(* y (+ 1/2 (* 1/24 (pow x 2))))
(* y (+ 1/2 (* 1/24 (pow x 2))))
(* y (+ 1/2 (* 1/24 (pow x 2))))
(* y (+ 1/2 (* 1/24 (pow x 2))))
(* y (+ 1/2 (* 1/24 (pow x 2))))
(* y (+ 1/2 (* 1/24 (pow x 2))))
(* 1/2 y)
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))
(* 1/24 (* (pow x 2) y))
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(* 1/24 (* (pow x 2) y))
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
1/24
(+ 1/24 (* 1/720 (pow x 2)))
(+ 1/24 (* 1/720 (pow x 2)))
(+ 1/24 (* 1/720 (pow x 2)))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))

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

rewrite464.0ms (3.5%)

Memory

5.0MiB live, 372.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 638×	`lower-fma.f32`
4 626×	`lower-fma.f64`
4 456×	`lower-/.f32`
4 440×	`lower-/.f64`
4 134×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	259
0	69	259
1	262	259
2	1814	259
0	8476	259

Stop Event

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

Counts

22 → 616

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 z (*.f64 y (cosh.f64 x))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) (neg.f64 x)))
(neg.f64 (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) (neg.f64 x)))
(/.f64 y (*.f64 x (/.f64 z (cosh.f64 x))))
(/.f64 (cosh.f64 x) (*.f64 z (/.f64 x y)))
(/.f64 (/.f64 (cosh.f64 x) z) (/.f64 x y))
(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(/.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(/.f64 (/.f64 y x) (/.f64 z (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (.f64 x (/.f64 z (.f64 y (cosh.f64 x)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 x (/.f64 z (.f64 y (cosh.f64 x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x z) (.f64 y (cosh.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 z (/.f64 x y))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 x z)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) z) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 x (neg.f64 z))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (neg.f64 z)) (.f64 (cosh.f64 x) (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y (*.f64 x z)))))
(/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (*.f64 z (/.f64 x y))))
(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) (neg.f64 z)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) (neg.f64 x)) (neg.f64 z))
(/.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (*.f64 z (/.f64 x y))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (*.f64 y (cosh.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 y (cosh.f64 x))))
(/.f64 (.f64 y (cosh.f64 x)) (.f64 x z))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (/.f64 z (.f64 y (cosh.f64 x))))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (.f64 #s(literal 2 binary64) (.f64 x z)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y x)) (*.f64 #s(literal 2 binary64) z))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 y)) (.f64 #s(literal 2 binary64) (.f64 x (neg.f64 z))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x))) (neg.f64 (.f64 #s(literal 2 binary64) (*.f64 z (/.f64 x y)))))
(/.f64 (neg.f64 (.f64 y (cosh.f64 x))) (.f64 x (neg.f64 z)))
(/.f64 (.f64 (cosh.f64 x) (neg.f64 y)) (.f64 x (neg.f64 z)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y (*.f64 x z))) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) y)) (neg.f64 (.f64 #s(literal 2 binary64) (.f64 x z))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y x))) (neg.f64 (*.f64 #s(literal 2 binary64) z)))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 y))) (neg.f64 (.f64 #s(literal 2 binary64) (.f64 x (neg.f64 z)))))
(/.f64 (neg.f64 (.f64 (cosh.f64 x) (neg.f64 y))) (.f64 x z))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y (*.f64 x z)))) #s(literal -2 binary64))
(pow.f64 (.f64 x (/.f64 z (.f64 y (cosh.f64 x)))) #s(literal -1 binary64))
(.f64 y (/.f64 (cosh.f64 x) (.f64 x z)))
(.f64 (cosh.f64 x) (/.f64 y (.f64 x z)))
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x))
(.f64 (.f64 y (/.f64 (cosh.f64 x) z)) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))
(.f64 (/.f64 y (.f64 x z)) (cosh.f64 x))
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 y (cosh.f64 x)) (*.f64 x z)))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 z (/.f64 x y)))))
(.f64 (/.f64 (.f64 y (cosh.f64 x)) (neg.f64 z)) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 (.f64 y (cosh.f64 x)) (neg.f64 x)) (/.f64 #s(literal -1 binary64) z))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (/.f64 (cosh.f64 x) z)))
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (cosh.f64 x) (/.f64 y x)))
(.f64 (.f64 y (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x z)))
(.f64 (/.f64 (cosh.f64 x) (.f64 x z)) y)
(.f64 (/.f64 (cosh.f64 x) (.f64 x z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 y (/.f64 (cosh.f64 x) z)) (neg.f64 x)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (/.f64 z (*.f64 y (cosh.f64 x)))))))
(.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (*.f64 x z))))
(.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y x)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (*.f64 x (neg.f64 z)))))
(*.f64 (neg.f64 (/.f64 (cosh.f64 x) z)) (/.f64 (neg.f64 y) x))
(.f64 (.f64 (cosh.f64 x) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (*.f64 x z)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) z) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y (.f64 x z))) #s(literal 1/2 binary64))
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))
(*.f64 (/.f64 (/.f64 y x) #s(literal -1 binary64)) (neg.f64 (/.f64 (cosh.f64 x) z)))
(*.f64 (/.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64)) (/.f64 (cosh.f64 x) z))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) x) (/.f64 #s(literal 1/2 binary64) (/.f64 z y)))
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z))
(.f64 (/.f64 (cosh.f64 x) #s(literal -1 binary64)) (/.f64 y (.f64 x (neg.f64 z))))
(*.f64 (/.f64 (cosh.f64 x) #s(literal -1 binary64)) (/.f64 (/.f64 (neg.f64 y) x) z))
(.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (cosh.f64 x) (.f64 x z)))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 (/.f64 (cosh.f64 x) z)) x))
(*.f64 (/.f64 (cosh.f64 x) (neg.f64 x)) (/.f64 (neg.f64 y) z))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) z) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 x z)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
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(.f64 (/.f64 (neg.f64 (cosh.f64 x)) #s(literal -1 binary64)) (/.f64 y (.f64 x z)))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/17280 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) (-.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/576 binary64)) (.f64 (.f64 x x) #s(literal 1/17280 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))
(/.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/576 binary64)) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/576 binary64)) (.f64 (.f64 x x) #s(literal 1/17280 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (*.f64 x x) #s(literal 1/17280 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/576 binary64))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(/.f64 (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/576 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/576 binary64)) (.f64 (.f64 x x) #s(literal 1/17280 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/576 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x))))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (fma.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/576 binary64)) (.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/17280 binary64))))))
(.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/576 binary64)) (.f64 (*.f64 x x) #s(literal 1/17280 binary64))))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))))
(.f64 (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))

eval240.0ms (1.8%)

Memory: -4.2MiB live, 252.3MiB allocated
Compiler: Compiled 26 600 to 2 166 computations (91.9% saved)

prune280.0ms (2.1%)

Memory

15.6MiB live, 298.2MiB allocated

Pruning

32 alts after pruning (31 fresh and 1 done)

	Pruned	Kept	Total
New	1 183	26	1 209
Fresh	5	5	10
Picked	4	1	5
Done	0	0	0
Total	1 192	32	1 224

Accuracy

100.0%

Counts

1 224 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.3%	(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) z) x)
	92.2%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) z)
	63.2%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 z) (.f64 (cosh.f64 x) (/.f64 y (neg.f64 x))))) (*.f64 (neg.f64 z) z))
	80.9%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) z)
	80.9%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal 1/720 binary64)) x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
	77.5%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
▶	89.4%	(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x)
▶	92.1%	(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
	79.0%	(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) z)) x)
	50.5%	(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x)
	83.7%	(/.f64 (.f64 y (cosh.f64 x)) (.f64 x z))
	90.6%	(/.f64 (.f64 y #s(approx (/ (cosh x) z) (fma.f64 (.f64 x x) (.f64 (/.f64 (.f64 x x) z) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) z)))) x)
	79.0%	(/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x z))
	88.4%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) y y) x)) z)
	84.0%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 y (.f64 x (*.f64 x #s(literal 1/24 binary64)))))) y) x)) z)
	27.3%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)) (neg.f64 (/.f64 (.f64 y y) (.f64 x x)))) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (/.f64 (neg.f64 y) x)))) z)
	84.7%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (+.f64 (.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) y) x)) z)
	34.5%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (.f64 (fma.f64 (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 x x) y) (-.f64 (.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) y)) (.f64 (-.f64 (.f64 x (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) y) x))) z)
	46.9%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
	44.8%	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 y (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))))) z)
	43.8%	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) z)
	28.7%	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))) z)
	50.5%	(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x)
	70.5%	(.f64 (/.f64 y (.f64 x z)) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	78.3%	(.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x z)))
▶	69.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x x)) y) (*.f64 x z)))
	76.8%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)))
	72.2%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (.f64 x z)))
✓	46.6%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))
	50.4%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y z))))
	46.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
▶	45.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y))

Compiler

Compiled 1 317 to 727 computations (44.8% saved)

simplify317.0ms (2.4%)

Memory

-23.5MiB live, 226.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	#s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)
✓	cost-diff	0	(.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z))
✓	cost-diff	384	(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
✓	cost-diff	0	#s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)
✓	cost-diff	0	(.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z))
✓	cost-diff	384	(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x)
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 x x))
✓	cost-diff	0	(fma.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x x)) y)
✓	cost-diff	0	(/.f64 (fma.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x x)) y) (*.f64 x z))
✓	cost-diff	0	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x x)) y) (*.f64 x z)))
✓	cost-diff	0	(*.f64 x z)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x z))
✓	cost-diff	0	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y))
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y)
✓	cost-diff	0	#s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
✓	cost-diff	0	(/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) z)
✓	cost-diff	384	(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) z) x)

Rules

5 326×	`lower-fma.f32`
5 312×	`lower-fma.f64`
3 066×	`lower-*.f32`
3 048×	`lower-*.f64`
1 768×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	463
0	71	463
1	155	459
2	342	459
3	743	459
4	1321	459
5	1972	459
6	3070	459
7	5040	459
8	5210	459
9	5226	459
10	5226	459
11	5569	459
12	5913	457
13	6645	457
14	7003	457
15	7452	457
0	8009	455

Stop Event

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

Calls

Call 1

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

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

localize217.0ms (1.7%)

Memory

28.3MiB live, 302.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
✓	accuracy	99.8%	(.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z))
✓	accuracy	98.0%	(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
✓	accuracy	92.1%	#s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
✓	accuracy	99.8%	(.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	98.0%	(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x)
✓	accuracy	86.2%	#s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 x x))
✓	accuracy	94.5%	(fma.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x x)) y)
✓	accuracy	79.5%	(/.f64 (fma.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x x)) y) (*.f64 x z))
✓	accuracy	62.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x x)) y) (*.f64 x z)))
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (*.f64 x z))
✓	accuracy	91.5%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y)
✓	accuracy	50.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y))
✓	accuracy	99.9%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
✓	accuracy	98.0%	(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) z) x)
✓	accuracy	92.1%	#s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))

Samples

98.0ms

256×

valid

Compiler

Compiled 279 to 41 computations (85.3% saved)

Precisions

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

ival-mult: 27.0ms (36.2% of total)

ival-add: 25.0ms (33.5% of total)

ival-div: 13.0ms (17.4% of total)

const: 6.0ms (8% of total)

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

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

exact: 0.0ms (0% of total)

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

series51.0ms (0.4%)

Memory

-24.2MiB live, 55.4MiB allocated

Counts

23 → 588

Calls

Call 1

Inputs
#<alt (/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) z) x)>
#<alt (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) z)>
#<alt (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))>
#<alt #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y)>
#<alt #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (*.f64 x z)>
#<alt #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x x)) y) (*.f64 x z)))>
#<alt (/.f64 (fma.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x x)) y) (*.f64 x z))>
#<alt (fma.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x x)) y)>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x x))>
#<alt (/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x)>
#<alt (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z))>
#<alt (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)>
#<alt #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))>
#<alt (/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)>
#<alt (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z))>
#<alt (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)>
#<alt #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))>
#<alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))>
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#<alt (/ y (* x z))>
#<alt (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)>
#<alt (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)>
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#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))>
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#<alt 1/2>
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#<alt (* 1/720 (pow x 4))>
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>

Calls

147 calls:

Time	Variable		Point	Expression
13.0ms	y	@	inf	(* y (cosh x))
7.0ms	z	@	0	(/ (+ (* y (* 1/2 (* x x))) y) (* x z))
1.0ms	y	@	0	(/ (+ (* y (* 1/2 (* x x))) y) (* x z))
1.0ms	x	@	inf	(/ (+ (* y (* 1/2 (* x x))) y) (* x z))
1.0ms	y	@	inf	(/ (+ (* y (* 1/2 (* x x))) y) (* x z))

simplify426.0ms (3.3%)

Memory

16.4MiB live, 647.1MiB allocated

Algorithm

1×	egg-herbie

Rules

17 148×	`lower-fma.f64`
17 148×	`lower-fma.f32`
5 700×	`lower-*.f64`
5 700×	`lower-*.f32`
1 490×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	6470
1	396	6466
2	1182	6296
3	3129	6178
4	6244	6178
0	8033	6016

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 586

Calls

Call 1

Inputs
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(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/ y (* x z))
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
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(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(/ y z)
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z))
(+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
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(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
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(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
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(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
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(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(/ 1 z)
(+ (* 1/2 (/ (pow x 2) z)) (/ 1 z))
(+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
1/24
(+ 1/24 (* 1/720 (pow x 2)))
(+ 1/24 (* 1/720 (pow x 2)))
(+ 1/24 (* 1/720 (pow x 2)))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)

Outputs
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(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
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(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
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(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
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(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
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(/ y (* x z))
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(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 x x)) y) (*.f64 x z))
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(/.f64 (.f64 (/.f64 y z) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)
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(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
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(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
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(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
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(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
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(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
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(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
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(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
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(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
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(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
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(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
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(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z))
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(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z))
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(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z))
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(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
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(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z))
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(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z))
(/ y z)
(/.f64 y z)
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 x x)) y) z)
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z))
(.f64 (/.f64 y z) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
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(fma.f64 (/.f64 (.f64 y (.f64 x x)) z) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (/.f64 y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z))
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(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z))
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(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z))
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(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z))
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(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z))
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(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z))
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(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z))
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(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z))
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(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z))
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(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z))
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(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z))
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(.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
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(.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
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(.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
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(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
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(.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
y
(+ y (* 1/2 (* (pow x 2) y)))
(fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 x x)) y)
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))))
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(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z))
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(+ (* 1/2 (/ (pow x 2) z)) (/ 1 z))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z)
(+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))
(.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))
(fma.f64 (/.f64 (.f64 x x) z) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z)
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z)
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z)
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z)
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z)
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z)
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z)
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z)
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z)
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z)
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z)
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z)
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z)
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z)
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z)
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z)
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z)
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z)
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z)
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z)
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 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* 1/720 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* 1/720 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))

rewrite360.0ms (2.7%)

Memory

17.3MiB live, 688.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 446×	`lower-/.f32`
4 432×	`lower-/.f64`
4 414×	`lower-fma.f32`
4 400×	`lower-fma.f64`
3 972×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	341
0	71	341
1	298	337
2	1882	337
0	8390	337

Stop Event

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

Counts

23 → 637

Calls

Call 1

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

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

eval193.0ms (1.5%)

Memory: 14.1MiB live, 332.0MiB allocated
Compiler: Compiled 32 097 to 2 286 computations (92.9% saved)

prune141.0ms (1.1%)

Memory

-16.6MiB live, 344.0MiB allocated

Pruning

37 alts after pruning (34 fresh and 3 done)

	Pruned	Kept	Total
New	1 365	18	1 383
Fresh	10	16	26
Picked	3	2	5
Done	0	1	1
Total	1 378	37	1 415

Accuracy

100.0%

Counts

1 415 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	92.3%	(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x) z)
	88.4%	(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x) z)
	56.5%	(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (/.f64 (fma.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) z) x)
	92.5%	(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64)))) z) x)
	92.2%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) z)
	63.2%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 z) (.f64 (cosh.f64 x) (/.f64 y (neg.f64 x))))) (*.f64 (neg.f64 z) z))
▶	93.2%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) x)
▶	80.9%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) z)
	92.1%	(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x #s(literal 1/720 binary64))) x) x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) z)) x)
	92.1%	(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) x #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
	89.4%	(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
	91.4%	(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))) z)) x)
	91.4%	(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)))))) #s(literal 1 binary64))) z)) x)
	79.0%	(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
	50.5%	(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x)
	83.7%	(/.f64 (.f64 y (cosh.f64 x)) (.f64 x z))
	90.6%	(/.f64 (.f64 y #s(approx (/ (cosh x) z) (fma.f64 (.f64 x x) (.f64 (/.f64 (.f64 x x) z) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) z)))) x)
	79.0%	(/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x z))
	50.5%	(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x)
	84.0%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 y (.f64 x (*.f64 x #s(literal 1/24 binary64)))))) y) x)) z)
	84.7%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (+.f64 (.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) y) x)) z)
	34.5%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (.f64 (fma.f64 (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 x x) y) (-.f64 (.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) y)) (.f64 (-.f64 (.f64 x (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) y) x))) z)
	46.9%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
	44.8%	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 y (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))))) z)
	43.8%	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) z)
▶	28.7%	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))) z)
	87.3%	(/.f64 y (.f64 x (/.f64 z #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
	77.2%	(.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y)
	73.4%	(.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 x z)) y)
	74.9%	(.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z)))
✓	69.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x x)) y) (*.f64 x z)))
▶	76.8%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)))
▶	72.2%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (.f64 x z)))
	33.2%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 y (.f64 (.f64 x x) #s(literal 1/2 binary64)) y) (fma.f64 y (.f64 (.f64 x x) #s(literal 1/2 binary64)) (neg.f64 y))) (.f64 (fma.f64 y (.f64 (.f64 x x) #s(literal 1/2 binary64)) (neg.f64 y)) (*.f64 x z))))
✓	46.6%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))
	45.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y))
✓	45.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y))

Compiler

Compiled 1 622 to 887 computations (45.3% saved)

simplify1.2s (9.3%)

Memory

1.4MiB live, 856.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	#s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) y))
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) x) y)
✓	cost-diff	384	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) z)
✓	cost-diff	0	(.f64 x (.f64 y (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
✓	cost-diff	0	(fma.f64 x (.f64 x (.f64 y (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y)
✓	cost-diff	0	(/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))
✓	cost-diff	0	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)))
✓	cost-diff	0	(.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
✓	cost-diff	0	(fma.f64 x (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y)
✓	cost-diff	0	(/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (.f64 x z))
✓	cost-diff	0	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (.f64 x z)))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 y x))
✓	cost-diff	0	#s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
✓	cost-diff	0	#s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 #s(literal 1/2 binary64) (.f64 y x))))
✓	cost-diff	0	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))) z)
✓	cost-diff	0	(.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) z)
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
✓	cost-diff	384	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) x)

Rules

27 790×	`lower-fma.f32`
27 772×	`lower-fma.f64`
5 086×	`lower-+.f64`
5 086×	`lower-+.f32`
4 728×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	576
0	93	576
1	216	566
2	501	566
3	1325	566
4	2137	566
5	3871	566
6	4431	566
7	4737	566
8	4906	566
9	5105	566
10	5330	566
0	8441	563

Stop Event

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

Calls

Call 1

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

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

localize471.0ms (3.6%)

Memory

-0.1MiB live, 353.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) x) y)
✓	accuracy	96.9%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) z)
✓	accuracy	92.1%	#s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
✓	accuracy	91.0%	(.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) y))
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
✓	accuracy	95.9%	(.f64 y (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
✓	accuracy	87.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)))
✓	accuracy	83.0%	(/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	94.4%	(.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
✓	accuracy	82.9%	(/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (.f64 x z))
✓	accuracy	81.1%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (.f64 x z)))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 y x))
✓	accuracy	96.9%	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))) z)
✓	accuracy	63.4%	#s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 #s(literal 1/2 binary64) (.f64 y x))))
✓	accuracy	53.9%	#s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
✓	accuracy	99.7%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/720 binary64))
✓	accuracy	98.0%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) x)
✓	accuracy	92.1%	#s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))

Samples

260.0ms

256×

valid

Compiler

Compiled 415 to 56 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 208.0ms

ival-mult: 107.0ms (51.3% of total)

ival-div: 36.0ms (17.3% of total)

ival-cosh: 28.0ms (13.4% of total)

const: 27.0ms (13% of total)

ival-add: 10.0ms (4.8% of total)

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

exact: 0.0ms (0% of total)

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

series34.0ms (0.3%)

Memory

-0.8MiB live, 76.7MiB allocated

Counts

27 → 660

Calls

Call 1

Inputs
#<alt (/.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) x)>
#<alt (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) z)>
#<alt (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))>
#<alt (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))) z)>
#<alt #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 #s(literal 1/2 binary64) (.f64 y x))))>
#<alt #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y x))>
#<alt #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (.f64 x z)))>
#<alt (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (.f64 x z))>
#<alt (fma.f64 x (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y)>
#<alt (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))>
#<alt #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)))>
#<alt (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))>
#<alt (fma.f64 x (.f64 x (.f64 y (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y)>
#<alt (.f64 x (.f64 y (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))>
#<alt (/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) z)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) y)>
#<alt (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) y))>
#<alt #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))>
#<alt #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))>
#<alt (*.f64 x #s(literal 1/720 binary64))>
#<alt (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))>
#<alt (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))>
#<alt (*.f64 x #s(literal 1/24 binary64))>
#<alt (.f64 y (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))>
#<alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))>

Outputs
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))>
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#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))>
#<alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))>
#<alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))>
#<alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))>
#<alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))>
#<alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))>
#<alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))>
#<alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))>
#<alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))>
#<alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))>
#<alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))>
#<alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))>
#<alt (* 1/2 y)>
#<alt (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))>
#<alt (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))>
#<alt (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))>
#<alt (* 1/720 (* (pow x 4) y))>
#<alt (* (pow x 4) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))>
#<alt (* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))>
#<alt (* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))>
#<alt (* 1/720 (* (pow x 4) y))>
#<alt (* (pow x 4) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))>
#<alt (* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))>
#<alt (* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))>
#<alt 1/24>
#<alt (+ 1/24 (* 1/720 (pow x 2)))>
#<alt (+ 1/24 (* 1/720 (pow x 2)))>
#<alt (+ 1/24 (* 1/720 (pow x 2)))>
#<alt (* 1/720 (pow x 2))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/720 (pow x 2))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>

Calls

165 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))
2.0ms	y	@	0	(/ (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (* x z))
1.0ms	z	@	0	(/ (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (* x z))
1.0ms	z	@	0	(/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z))
1.0ms	y	@	-inf	(/ (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (* x z))

simplify510.0ms (3.9%)

Memory

14.3MiB live, 972.9MiB allocated

Algorithm

1×	egg-herbie

Rules

18 400×	`lower-fma.f64`
18 400×	`lower-fma.f32`
5 382×	`lower-*.f64`
5 382×	`lower-*.f32`
3 418×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	240	8495
1	824	8374
2	2838	8182
3	6810	8178
0	8240	7742

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 657

Calls

Call 1

Inputs
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(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
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(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
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(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)
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(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
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(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
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(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(/ y z)
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z))
(+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(/ 1 z)
(/ 1 z)
(/ 1 z)
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(/ 1 z)
(/ 1 z)
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(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
y
(+ y (* 1/2 (* (pow x 2) y)))
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))))
(+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(/ y (* x z))
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
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(/ y x)
(/ (+ y (* 1/2 (* (pow x 2) y))) x)
(/ (+ y (* 1/2 (* (pow x 2) y))) x)
(/ (+ y (* 1/2 (* (pow x 2) y))) x)
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(* x (+ (* 1/2 y) (/ y (pow x 2))))
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(/ y (* x z))
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(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)
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(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
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(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
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(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
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(* (pow x 3) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z)))))
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(/ (+ y (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))
y
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(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* 1/2 y)
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))
(+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))
(+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))
(* 1/720 (* (pow x 4) y))
(* (pow x 4) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))
(* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(* 1/720 (* (pow x 4) y))
(* (pow x 4) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))
(* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
1/24
(+ 1/24 (* 1/720 (pow x 2)))
(+ 1/24 (* 1/720 (pow x 2)))
(+ 1/24 (* 1/720 (pow x 2)))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))

Outputs
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(/ y (* x z))
(/.f64 y (*.f64 x z))
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(/.f64 (fma.f64 (.f64 x x) (.f64 (/.f64 y z) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (/.f64 y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)
(/.f64 (fma.f64 x (.f64 x (.f64 (/.f64 (.f64 y (.f64 x x)) z) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z))) x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 #s(literal 1/2 binary64) y) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 #s(literal 1/2 binary64) y) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 #s(literal 1/2 binary64) y) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 #s(literal 1/2 binary64) y) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 #s(literal 1/2 binary64) y) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 #s(literal 1/2 binary64) y) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 #s(literal 1/2 binary64) y) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 #s(literal 1/2 binary64) y) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 #s(literal 1/2 binary64) y) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 #s(literal 1/2 binary64) y) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 #s(literal 1/2 binary64) y) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 #s(literal 1/2 binary64) y) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 #s(literal 1/2 binary64) y) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 #s(literal 1/2 binary64) y) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 #s(literal 1/2 binary64) y) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 #s(literal 1/2 binary64) y) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 #s(literal 1/2 binary64) y) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 #s(literal 1/2 binary64) y) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 #s(literal 1/2 binary64) y) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 #s(literal 1/2 binary64) y) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 #s(literal 1/2 binary64) y) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 #s(literal 1/2 binary64) y) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 #s(literal 1/2 binary64) y) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 #s(literal 1/2 binary64) y) z))
(/ y z)
(/.f64 y z)
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 y z))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z))
(fma.f64 (.f64 x x) (.f64 (/.f64 y z) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (/.f64 y z))
(+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z))
(fma.f64 x (.f64 x (.f64 (/.f64 (.f64 y (.f64 x x)) z) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 #s(literal 1/2 binary64) y) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 #s(literal 1/2 binary64) y) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 #s(literal 1/2 binary64) y) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 #s(literal 1/2 binary64) y) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 #s(literal 1/2 binary64) y) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 #s(literal 1/2 binary64) y) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 #s(literal 1/2 binary64) y) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 #s(literal 1/2 binary64) y) z))
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
y
(+ y (* 1/2 (* (pow x 2) y)))
(fma.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x x)) y)
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))))
(fma.f64 x (.f64 y (.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) y)
(+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))))
(fma.f64 x (.f64 y (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x)) y)
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/ y (* x z))
(/.f64 y (*.f64 x z))
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x)
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(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 #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 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(* 1/720 (pow x 3))
(.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(* 1/720 (pow x 3))
(.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(* y (+ 1/2 (* 1/24 (pow x 2))))
(.f64 y (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(* y (+ 1/2 (* 1/24 (pow x 2))))
(.f64 y (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(* y (+ 1/2 (* 1/24 (pow x 2))))
(.f64 y (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(* y (+ 1/2 (* 1/24 (pow x 2))))
(.f64 y (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(* y (+ 1/2 (* 1/24 (pow x 2))))
(.f64 y (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(* y (+ 1/2 (* 1/24 (pow x 2))))
(.f64 y (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(* y (+ 1/2 (* 1/24 (pow x 2))))
(.f64 y (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(* y (+ 1/2 (* 1/24 (pow x 2))))
(.f64 y (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(* y (+ 1/2 (* 1/24 (pow x 2))))
(.f64 y (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(* y (+ 1/2 (* 1/24 (pow x 2))))
(.f64 y (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(* y (+ 1/2 (* 1/24 (pow x 2))))
(.f64 y (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(* y (+ 1/2 (* 1/24 (pow x 2))))
(.f64 y (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))
(.f64 y (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))
(.f64 y (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))
(.f64 y (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(* 1/24 (* (pow x 2) y))
(.f64 (.f64 y (*.f64 x x)) #s(literal 1/24 binary64))
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(.f64 y (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(.f64 y (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(.f64 y (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(* 1/24 (* (pow x 2) y))
(.f64 (.f64 y (*.f64 x x)) #s(literal 1/24 binary64))
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(.f64 y (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(.f64 y (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(.f64 y (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(.f64 y (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(.f64 y (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(.f64 y (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(.f64 y (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(.f64 y (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(.f64 y (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(.f64 y (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(.f64 y (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(.f64 y (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(.f64 y (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(.f64 y (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(.f64 y (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))
(.f64 y (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))
(.f64 y (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))
(.f64 y (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* 1/720 (* (pow x 4) y))
(.f64 (.f64 x x) (.f64 y (.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(* (pow x 4) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x)))))
(* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 y (.f64 (.f64 x x) (.f64 x x))) (.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))))
(* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 y (.f64 (.f64 x x) (.f64 x x))) (.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))))
(* 1/720 (* (pow x 4) y))
(.f64 (.f64 x x) (.f64 y (.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(* (pow x 4) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x)))))
(* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 y (.f64 (.f64 x x) (.f64 x x))) (.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))))
(* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 y (.f64 (.f64 x x) (.f64 x x))) (.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))))
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))

rewrite413.0ms (3.2%)

Memory

-13.6MiB live, 866.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 674×	`lower-fma.f32`
5 656×	`lower-fma.f64`
4 774×	`lower-*.f32`
4 742×	`lower-*.f64`
3 870×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	430
0	93	426
1	393	420
2	2403	420
0	8342	417

Stop Event

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

Counts

27 → 687

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 z x) (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (.f64 #s(literal -1 binary64) (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y (.f64 z x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (.f64 #s(literal -1 binary64) (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y (.f64 z x)))))
(neg.f64 (.f64 #s(literal -1 binary64) (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y (.f64 z x)))))
(neg.f64 (/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 y x))) z))
(neg.f64 (/.f64 (.f64 (neg.f64 (/.f64 y z)) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z x) (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 z x) (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (.f64 z x) (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))))
(/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 z x))
(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) x)
(/.f64 (.f64 (/.f64 y x) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) z)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 z x) (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (.f64 z x) (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))))
(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 y x))) (neg.f64 z))
(/.f64 (.f64 (neg.f64 (/.f64 y z)) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (neg.f64 x))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (.f64 z (neg.f64 x)))
(/.f64 (neg.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (*.f64 z (neg.f64 x)))
(/.f64 (neg.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 y x)))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (.f64 (neg.f64 (/.f64 y z)) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (neg.f64 (neg.f64 x)))
(/.f64 (.f64 (.f64 (/.f64 y x) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)) (neg.f64 z))
(/.f64 (.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)) (.f64 z (neg.f64 x)))
(/.f64 (.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) z)
(/.f64 (neg.f64 (.f64 #s(literal -1 binary64) (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) (neg.f64 (.f64 z (neg.f64 x))))
(/.f64 (neg.f64 (neg.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 y x))))) (neg.f64 (neg.f64 (neg.f64 z))))
(/.f64 (neg.f64 (neg.f64 (.f64 (neg.f64 (/.f64 y z)) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (.f64 (.f64 (/.f64 y x) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))) (neg.f64 (.f64 z (neg.f64 x))))
(/.f64 (neg.f64 (.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) #s(literal -1 binary64))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) (neg.f64 z))
(pow.f64 (/.f64 (.f64 z x) (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 z x) (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y (.f64 z x))))
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (/.f64 y x) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 (/.f64 y x) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 z x)))
(.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y (.f64 z x))) #s(literal 1 binary64))
(.f64 (/.f64 y x) (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) z)))
(.f64 (/.f64 y x) (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z))
(.f64 (/.f64 y x) (/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y (*.f64 z x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)))
(.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 y x) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) z))
(.f64 (.f64 (/.f64 y x) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 y x))) (/.f64 #s(literal -1 binary64) z))
(.f64 (.f64 (neg.f64 (/.f64 y z)) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 z x)) (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(.f64 (/.f64 y z) (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x))
(.f64 (/.f64 y z) (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x) #s(literal 1 binary64)))
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(.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x) (/.f64 (/.f64 y z) #s(literal 1 binary64)))
(.f64 (/.f64 y (.f64 z x)) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
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(/.f64 (neg.f64 (.f64 y (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))) #s(literal 1/8 binary64)))) (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1/4 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (.f64 y (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))) #s(literal 1/8 binary64)) y)) (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1/4 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) y)) (neg.f64 (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y)) (.f64 (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))))) (.f64 y (.f64 y y)))) (fma.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 y (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))) (.f64 y (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))) (.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))))))
(.f64 y (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
(.f64 (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) y)
(+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(-.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64)) (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(fma.f64 (*.f64 x #s(literal 1/720 binary64)) x #s(literal 1/24 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (.f64 (.f64 x x) #s(literal 1/17280 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (.f64 (.f64 x x) #s(literal 1/17280 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (.f64 (.f64 x x) #s(literal 1/17280 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64)) (.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (.f64 (.f64 x x) #s(literal 1/17280 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64)) (.f64 (*.f64 x x) #s(literal 1/17280 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(/.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/576 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (.f64 (.f64 x x) #s(literal 1/17280 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64)))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (fma.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (.f64 (.f64 x x) #s(literal 1/17280 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))

eval174.0ms (1.3%)

Memory: 0.5MiB live, 508.8MiB allocated
Compiler: Compiled 38 513 to 2 372 computations (93.8% saved)

prune175.0ms (1.3%)

Memory

-6.7MiB live, 431.4MiB allocated

Pruning

47 alts after pruning (41 fresh and 6 done)

	Pruned	Kept	Total
New	1 366	18	1 384
Fresh	6	23	29
Picked	2	3	5
Done	0	3	3
Total	1 374	47	1 421

Accuracy

100.0%

Counts

1 421 → 47

Alt Table

Click to see full alt table

Status	Accuracy	Program
	92.3%	(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x) z)
	92.5%	(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64)))) z) x)
	63.2%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 z) (.f64 (cosh.f64 x) (/.f64 y (neg.f64 x))))) (*.f64 (neg.f64 z) z))
	69.0%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) x)
✓	93.2%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) x)
	93.1%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x #s(approx ( x (+ (* x (* x 1/720)) 1/24)) (.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x x)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) x)
	91.4%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( y (cosh x)) (fma.f64 x (.f64 y (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x)) y))) x)
	92.1%	(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x #s(literal 1/720 binary64))) x) x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) z)) x)
	92.1%	(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) x #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
	89.4%	(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
	91.4%	(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))) z)) x)
	91.4%	(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)))))) #s(literal 1 binary64))) z)) x)
	79.0%	(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
	50.5%	(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x)
	83.7%	(/.f64 (.f64 y (cosh.f64 x)) (.f64 x z))
	79.0%	(/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x z))
	50.5%	(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x)
	84.0%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 y (.f64 x (*.f64 x #s(literal 1/24 binary64)))))) y) x)) z)
	84.7%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (+.f64 (.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) y) x)) z)
	46.9%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
	44.8%	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 y (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))))) z)
	43.8%	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) z)
✓	28.7%	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))) z)
	87.3%	(/.f64 y (.f64 x (/.f64 z #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
	77.2%	(.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y)
	73.4%	(.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 x z)) y)
	28.7%	(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 y (.f64 x #s(literal 1/2 binary64))))))
	72.2%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 y (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (.f64 x x) y) (.f64 x z)))
	74.4%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 y x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) y) (.f64 x z)))
✓	69.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x x)) y) (*.f64 x z)))
	55.5%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (.f64 (.f64 y x) (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) y) (*.f64 x z)))
	53.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (.f64 (.f64 y x) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64))))) y) (*.f64 x z)))
	72.2%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 y (.f64 x #s(literal 1/24 binary64))) x (.f64 y #s(literal 1/2 binary64)))) y) (*.f64 x z)))
	76.6%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) #s(literal 1/2 binary64)))) y) (*.f64 x z)))
✓	72.2%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (.f64 x z)))
	51.2%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))))))) y) (*.f64 x z)))
	76.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 (.f64 x x) (.f64 y (.f64 (.f64 x x) #s(literal 1/720 binary64)))))) y) (.f64 x z)))
	71.5%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 (.f64 y (.f64 x x)) #s(literal 1/24 binary64)))) y) (.f64 x z)))
	77.5%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x #s(approx (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2))) (.f64 y (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x))) y) (*.f64 x z)))
	33.2%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 y (.f64 (.f64 x x) #s(literal 1/2 binary64)) y) (fma.f64 y (.f64 (.f64 x x) #s(literal 1/2 binary64)) (neg.f64 y))) (.f64 (fma.f64 y (.f64 (.f64 x x) #s(literal 1/2 binary64)) (neg.f64 y)) (*.f64 x z))))
	33.6%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 y (.f64 x (.f64 x x)))))) (.f64 x z)))
✓	46.6%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))
	71.5%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (fma.f64 (.f64 x x) (.f64 y (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) y) (/.f64 #s(literal 1 binary64) (*.f64 z x))))
	45.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y))
✓	45.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y))
	44.8%	#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 y (.f64 x (.f64 x x)))) z)))
	44.1%	#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z)) (.f64 x (.f64 (/.f64 y z) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))))

Compiler

Compiled 2 548 to 899 computations (64.7% saved)

regimes275.0ms (2.1%)

Memory

-147.9MiB live, 271.9MiB allocated

Counts

78 → 2

Calls

Call 1

Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))) z)
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x)
(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 y (.f64 x #s(literal 1/2 binary64))))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y))
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x)
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 y (.f64 x (.f64 x x)))) z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 y (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z)) (.f64 x (.f64 (/.f64 y z) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x x)) y) (*.f64 x z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y z))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z)
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) z)) x)
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
(/.f64 (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 y (.f64 x (.f64 x x)))))) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 (.f64 y (.f64 x x)) #s(literal 1/24 binary64)))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 y x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 y (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (.f64 x x) y) (.f64 x z)))
(.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 x z)) y)
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (fma.f64 (.f64 x x) (.f64 y (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) y) (/.f64 #s(literal 1 binary64) (*.f64 z x))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 y (.f64 x #s(literal 1/24 binary64))) x (.f64 y #s(literal 1/2 binary64)))) y) (*.f64 x z)))
(.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 y (.f64 x (*.f64 x #s(literal 1/24 binary64)))))) y) x)) z)
(/.f64 y (.f64 x (/.f64 z #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) y y) x)) z)
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x)
(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (+.f64 (.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) y) x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 (.f64 x x) (.f64 y (.f64 (.f64 x x) #s(literal 1/720 binary64)))))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) #s(literal 1/2 binary64)))) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x #s(approx (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2))) (.f64 y (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x))) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)))
(.f64 (/.f64 y (.f64 x z)) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y)
(/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x z))
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)))))) #s(literal 1 binary64))) z)) x)
(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64)))) z) x)
(.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x z)))
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))) z)) x)
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) x #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal 1/720 binary64)) x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x) z)
(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) z) x)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x #s(approx ( x (+ (* x (* x 1/720)) 1/24)) (.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x x)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) x)
(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) z)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( y (cosh x)) (fma.f64 x (.f64 y (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x)) y))) x)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) x)
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x #s(literal 1/720 binary64))) x) x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) z)) x)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))))))) y) (*.f64 x z)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 y (.f64 (.f64 x x) #s(literal 1/2 binary64)) y) (fma.f64 y (.f64 (.f64 x x) #s(literal 1/2 binary64)) (neg.f64 y))) (.f64 (fma.f64 y (.f64 (.f64 x x) #s(literal 1/2 binary64)) (neg.f64 y)) (*.f64 x z))))
(/.f64 (.f64 y #s(approx (/ (cosh x) z) (fma.f64 (.f64 x x) (.f64 (/.f64 (.f64 x x) z) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) z)))) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)) (neg.f64 (/.f64 (.f64 y y) (.f64 x x)))) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (/.f64 (neg.f64 y) x)))) z)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) x)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (.f64 (.f64 y x) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64))))) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (.f64 (.f64 y x) (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) y) (*.f64 x z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (.f64 (fma.f64 (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 x x) y) (-.f64 (.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) y)) (.f64 (-.f64 (.f64 x (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) y) x))) z)
(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (/.f64 (fma.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) z) x)
(.f64 y (/.f64 (cosh.f64 x) (.f64 x z)))
(/.f64 (.f64 y (cosh.f64 x)) (.f64 x z))
(*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z))
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))
(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 z) (.f64 (cosh.f64 x) (/.f64 y (neg.f64 x))))) (*.f64 (neg.f64 z) z))

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

Calls

5 calls:

185.0ms	z
22.0ms	y
22.0ms	x
22.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
20.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
97.9%	1	`x`
97.9%	1	`y`
99.8%	2	`z`
99.9%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
99.9%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes44.0ms (0.3%)

Memory

-18.1MiB live, 101.8MiB allocated

Counts

75 → 2

Calls

Call 1

Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))) z)
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x)
(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 y (.f64 x #s(literal 1/2 binary64))))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y))
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x)
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 y (.f64 x (.f64 x x)))) z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 y (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z)) (.f64 x (.f64 (/.f64 y z) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x x)) y) (*.f64 x z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y z))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z)
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) z)) x)
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
(/.f64 (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 y (.f64 x (.f64 x x)))))) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 (.f64 y (.f64 x x)) #s(literal 1/24 binary64)))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 y x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 y (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (.f64 x x) y) (.f64 x z)))
(.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 x z)) y)
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (fma.f64 (.f64 x x) (.f64 y (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) y) (/.f64 #s(literal 1 binary64) (*.f64 z x))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 y (.f64 x #s(literal 1/24 binary64))) x (.f64 y #s(literal 1/2 binary64)))) y) (*.f64 x z)))
(.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 y (.f64 x (*.f64 x #s(literal 1/24 binary64)))))) y) x)) z)
(/.f64 y (.f64 x (/.f64 z #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) y y) x)) z)
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x)
(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (+.f64 (.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) y) x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 (.f64 x x) (.f64 y (.f64 (.f64 x x) #s(literal 1/720 binary64)))))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) #s(literal 1/2 binary64)))) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x #s(approx (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2))) (.f64 y (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x))) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)))
(.f64 (/.f64 y (.f64 x z)) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y)
(/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x z))
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)))))) #s(literal 1 binary64))) z)) x)
(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64)))) z) x)
(.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x z)))
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))) z)) x)
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) x #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal 1/720 binary64)) x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x) z)
(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) z) x)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x #s(approx ( x (+ (* x (* x 1/720)) 1/24)) (.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x x)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) x)
(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) z)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( y (cosh x)) (fma.f64 x (.f64 y (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x)) y))) x)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) x)
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x #s(literal 1/720 binary64))) x) x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) z)) x)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))))))) y) (*.f64 x z)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 y (.f64 (.f64 x x) #s(literal 1/2 binary64)) y) (fma.f64 y (.f64 (.f64 x x) #s(literal 1/2 binary64)) (neg.f64 y))) (.f64 (fma.f64 y (.f64 (.f64 x x) #s(literal 1/2 binary64)) (neg.f64 y)) (*.f64 x z))))
(/.f64 (.f64 y #s(approx (/ (cosh x) z) (fma.f64 (.f64 x x) (.f64 (/.f64 (.f64 x x) z) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) z)))) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)) (neg.f64 (/.f64 (.f64 y y) (.f64 x x)))) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (/.f64 (neg.f64 y) x)))) z)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) x)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (.f64 (.f64 y x) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64))))) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (.f64 (.f64 y x) (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) y) (*.f64 x z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (.f64 (fma.f64 (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 x x) y) (-.f64 (.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) y)) (.f64 (-.f64 (.f64 x (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) y) x))) z)
(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (/.f64 (fma.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) z) x)
(.f64 y (/.f64 (cosh.f64 x) (.f64 x z)))
(/.f64 (.f64 y (cosh.f64 x)) (.f64 x z))
(*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z))
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))

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

Calls

2 calls:

19.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
19.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
99.7%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
99.8%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes106.0ms (0.8%)

Memory

-7.4MiB live, 276.4MiB allocated

Counts

73 → 3

Calls

Call 1

Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))) z)
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x)
(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 y (.f64 x #s(literal 1/2 binary64))))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y))
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x)
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 y (.f64 x (.f64 x x)))) z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 y (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z)) (.f64 x (.f64 (/.f64 y z) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x x)) y) (*.f64 x z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y z))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z)
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) z)) x)
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
(/.f64 (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 y (.f64 x (.f64 x x)))))) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 (.f64 y (.f64 x x)) #s(literal 1/24 binary64)))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 y x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 y (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (.f64 x x) y) (.f64 x z)))
(.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 x z)) y)
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (fma.f64 (.f64 x x) (.f64 y (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) y) (/.f64 #s(literal 1 binary64) (*.f64 z x))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 y (.f64 x #s(literal 1/24 binary64))) x (.f64 y #s(literal 1/2 binary64)))) y) (*.f64 x z)))
(.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 y (.f64 x (*.f64 x #s(literal 1/24 binary64)))))) y) x)) z)
(/.f64 y (.f64 x (/.f64 z #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) y y) x)) z)
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x)
(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (+.f64 (.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) y) x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 (.f64 x x) (.f64 y (.f64 (.f64 x x) #s(literal 1/720 binary64)))))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) #s(literal 1/2 binary64)))) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x #s(approx (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2))) (.f64 y (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x))) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)))
(.f64 (/.f64 y (.f64 x z)) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y)
(/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x z))
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)))))) #s(literal 1 binary64))) z)) x)
(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64)))) z) x)
(.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x z)))
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))) z)) x)
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) x #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal 1/720 binary64)) x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x) z)
(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) z) x)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x #s(approx ( x (+ (* x (* x 1/720)) 1/24)) (.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x x)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) x)
(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) z)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( y (cosh x)) (fma.f64 x (.f64 y (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x)) y))) x)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) x)
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x #s(literal 1/720 binary64))) x) x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) z)) x)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))))))) y) (*.f64 x z)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 y (.f64 (.f64 x x) #s(literal 1/2 binary64)) y) (fma.f64 y (.f64 (.f64 x x) #s(literal 1/2 binary64)) (neg.f64 y))) (.f64 (fma.f64 y (.f64 (.f64 x x) #s(literal 1/2 binary64)) (neg.f64 y)) (*.f64 x z))))
(/.f64 (.f64 y #s(approx (/ (cosh x) z) (fma.f64 (.f64 x x) (.f64 (/.f64 (.f64 x x) z) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) z)))) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)) (neg.f64 (/.f64 (.f64 y y) (.f64 x x)))) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (/.f64 (neg.f64 y) x)))) z)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) x)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (.f64 (.f64 y x) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64))))) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (.f64 (.f64 y x) (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) y) (*.f64 x z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (.f64 (fma.f64 (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 x x) y) (-.f64 (.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) y)) (.f64 (-.f64 (.f64 x (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) y) x))) z)
(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (/.f64 (fma.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) z) x)
(.f64 y (/.f64 (cosh.f64 x) (.f64 x z)))
(/.f64 (.f64 y (cosh.f64 x)) (.f64 x z))

Outputs

(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x)

(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 x z))

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

Calls

5 calls:

25.0ms	z
22.0ms	y
20.0ms	x
19.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
18.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
98.6%	3	`x`
95.2%	2	`y`
95.2%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
93.3%	1	`z`
95.2%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes23.0ms (0.2%)

Memory

23.3MiB live, 61.8MiB allocated

Counts

72 → 3

Calls

Call 1

Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))) z)
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x)
(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 y (.f64 x #s(literal 1/2 binary64))))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y))
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x)
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 y (.f64 x (.f64 x x)))) z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 y (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z)) (.f64 x (.f64 (/.f64 y z) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x x)) y) (*.f64 x z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y z))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z)
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) z)) x)
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
(/.f64 (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 y (.f64 x (.f64 x x)))))) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 (.f64 y (.f64 x x)) #s(literal 1/24 binary64)))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 y x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 y (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (.f64 x x) y) (.f64 x z)))
(.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 x z)) y)
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (fma.f64 (.f64 x x) (.f64 y (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) y) (/.f64 #s(literal 1 binary64) (*.f64 z x))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 y (.f64 x #s(literal 1/24 binary64))) x (.f64 y #s(literal 1/2 binary64)))) y) (*.f64 x z)))
(.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 y (.f64 x (*.f64 x #s(literal 1/24 binary64)))))) y) x)) z)
(/.f64 y (.f64 x (/.f64 z #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) y y) x)) z)
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x)
(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (+.f64 (.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) y) x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 (.f64 x x) (.f64 y (.f64 (.f64 x x) #s(literal 1/720 binary64)))))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) #s(literal 1/2 binary64)))) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x #s(approx (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2))) (.f64 y (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x))) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)))
(.f64 (/.f64 y (.f64 x z)) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y)
(/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x z))
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)))))) #s(literal 1 binary64))) z)) x)
(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64)))) z) x)
(.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x z)))
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))) z)) x)
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) x #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal 1/720 binary64)) x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x) z)
(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) z) x)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x #s(approx ( x (+ (* x (* x 1/720)) 1/24)) (.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x x)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) x)
(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) z)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( y (cosh x)) (fma.f64 x (.f64 y (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x)) y))) x)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) x)
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x #s(literal 1/720 binary64))) x) x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) z)) x)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))))))) y) (*.f64 x z)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 y (.f64 (.f64 x x) #s(literal 1/2 binary64)) y) (fma.f64 y (.f64 (.f64 x x) #s(literal 1/2 binary64)) (neg.f64 y))) (.f64 (fma.f64 y (.f64 (.f64 x x) #s(literal 1/2 binary64)) (neg.f64 y)) (*.f64 x z))))
(/.f64 (.f64 y #s(approx (/ (cosh x) z) (fma.f64 (.f64 x x) (.f64 (/.f64 (.f64 x x) z) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) z)))) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)) (neg.f64 (/.f64 (.f64 y y) (.f64 x x)))) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (/.f64 (neg.f64 y) x)))) z)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) x)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (.f64 (.f64 y x) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64))))) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (.f64 (.f64 y x) (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) y) (*.f64 x z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (.f64 (fma.f64 (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 x x) y) (-.f64 (.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) y)) (.f64 (-.f64 (.f64 x (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) y) x))) z)
(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (/.f64 (fma.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) z) x)
(.f64 y (/.f64 (cosh.f64 x) (.f64 x z)))

Outputs

(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x)

(*.f64 y (/.f64 (cosh.f64 x) (*.f64 x z)))

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

Calls

1 calls:

20.0ms

Results

Accuracy	Segments	Branch
97.9%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes42.0ms (0.3%)

Memory

-34.0MiB live, 86.7MiB allocated

Counts

71 → 2

Calls

Call 1

Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))) z)
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x)
(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 y (.f64 x #s(literal 1/2 binary64))))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y))
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x)
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 y (.f64 x (.f64 x x)))) z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 y (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z)) (.f64 x (.f64 (/.f64 y z) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x x)) y) (*.f64 x z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y z))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z)
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) z)) x)
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
(/.f64 (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 y (.f64 x (.f64 x x)))))) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 (.f64 y (.f64 x x)) #s(literal 1/24 binary64)))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 y x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 y (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (.f64 x x) y) (.f64 x z)))
(.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 x z)) y)
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (fma.f64 (.f64 x x) (.f64 y (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) y) (/.f64 #s(literal 1 binary64) (*.f64 z x))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 y (.f64 x #s(literal 1/24 binary64))) x (.f64 y #s(literal 1/2 binary64)))) y) (*.f64 x z)))
(.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 y (.f64 x (*.f64 x #s(literal 1/24 binary64)))))) y) x)) z)
(/.f64 y (.f64 x (/.f64 z #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) y y) x)) z)
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x)
(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (+.f64 (.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) y) x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 (.f64 x x) (.f64 y (.f64 (.f64 x x) #s(literal 1/720 binary64)))))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) #s(literal 1/2 binary64)))) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x #s(approx (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2))) (.f64 y (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x))) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)))
(.f64 (/.f64 y (.f64 x z)) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y)
(/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x z))
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)))))) #s(literal 1 binary64))) z)) x)
(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64)))) z) x)
(.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x z)))
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))) z)) x)
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) x #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal 1/720 binary64)) x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x) z)
(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) z) x)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x #s(approx ( x (+ (* x (* x 1/720)) 1/24)) (.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x x)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) x)
(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) z)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( y (cosh x)) (fma.f64 x (.f64 y (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x)) y))) x)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) x)
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x #s(literal 1/720 binary64))) x) x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) z)) x)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))))))) y) (*.f64 x z)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 y (.f64 (.f64 x x) #s(literal 1/2 binary64)) y) (fma.f64 y (.f64 (.f64 x x) #s(literal 1/2 binary64)) (neg.f64 y))) (.f64 (fma.f64 y (.f64 (.f64 x x) #s(literal 1/2 binary64)) (neg.f64 y)) (*.f64 x z))))
(/.f64 (.f64 y #s(approx (/ (cosh x) z) (fma.f64 (.f64 x x) (.f64 (/.f64 (.f64 x x) z) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) z)))) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)) (neg.f64 (/.f64 (.f64 y y) (.f64 x x)))) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (/.f64 (neg.f64 y) x)))) z)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) x)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (.f64 (.f64 y x) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64))))) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (.f64 (.f64 y x) (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) y) (*.f64 x z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (.f64 (fma.f64 (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 x x) y) (-.f64 (.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) y)) (.f64 (-.f64 (.f64 x (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) y) x))) z)
(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (/.f64 (fma.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) z) x)

Outputs

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

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

Calls

2 calls:

20.0ms	x
16.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
95.2%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
93.3%	1	`x`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes30.0ms (0.2%)

Memory

26.7MiB live, 64.7MiB allocated

Counts

55 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

14.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
13.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
95.2%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
95.2%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes44.0ms (0.3%)

Memory

1.9MiB live, 82.7MiB allocated

Counts

52 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

16.0ms	y
13.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
13.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))

Results

Accuracy	Segments	Branch
92.5%	1	`y`
95.2%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
95.2%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes69.0ms (0.5%)

Memory

-22.4MiB live, 145.7MiB allocated

Counts

47 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

16.0ms	y
14.0ms	z
13.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
13.0ms	x
12.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))

Results

Accuracy	Segments	Branch
91.4%	1	`y`
91.4%	1	`z`
91.4%	1	`x`
94.0%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
94.1%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes65.0ms (0.5%)

Memory

25.3MiB live, 141.4MiB allocated

Counts

46 → 3

Calls

Call 1

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

Outputs

(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x)

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

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

Calls

5 calls:

14.0ms	z
13.0ms	y
12.0ms	x
12.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
11.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))

Results

Accuracy	Segments	Branch
93.5%	3	`x`
89.4%	1	`z`
89.4%	1	`y`
91.4%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
91.4%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes27.0ms (0.2%)

Memory

-18.7MiB live, 62.0MiB allocated

Counts

45 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

13.0ms	x
12.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
91.4%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
89.4%	1	`x`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory

-10.7MiB live, 28.0MiB allocated

Counts

38 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

10.0ms

(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
91.4%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes49.0ms (0.4%)

Memory

17.8MiB live, 99.2MiB allocated

Counts

33 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

11.0ms	y
9.0ms	z
9.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
9.0ms	x
8.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
88.4%	1	`x`
90.2%	2	`y`
90.3%	2	`z`
90.6%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
90.6%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes19.0ms (0.1%)

Memory

5.5MiB live, 44.5MiB allocated

Counts

31 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

9.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
8.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
90.5%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
90.5%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes46.0ms (0.4%)

Memory

-13.7MiB live, 106.1MiB allocated

Counts

30 → 3

Calls

Call 1

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

Outputs

(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x)

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

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

Calls

5 calls:

10.0ms	x
9.0ms	z
9.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
9.0ms	y
8.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
89.1%	3	`x`
84.0%	1	`y`
84.0%	1	`z`
85.8%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
85.8%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes9.0ms (0.1%)

Memory

23.0MiB live, 22.9MiB allocated

Counts

28 → 3

Calls

Call 1

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

Outputs

(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x)

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
88.6%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Memory

-16.5MiB live, 22.7MiB allocated

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
87.0%	2	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Memory

-21.3MiB live, 18.3MiB allocated

Counts

17 → 2

Calls

Call 1

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

Outputs

(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x)

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
86.5%	2	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes19.0ms (0.1%)

Memory

13.7MiB live, 53.2MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	z
4.0ms	y
4.0ms	x
3.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
3.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
55.5%	3	`y`
52.4%	2	`z`
53.0%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
58.2%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
67.2%	2	`x`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes2.0ms (0%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))

#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y))

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
65.9%	2	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes11.0ms (0.1%)

Memory

-16.8MiB live, 24.9MiB allocated

Accuracy

Total -0.5b remaining (-1.4%)

Threshold costs -0.5b (-1.4%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y))

Outputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))

Calls

5 calls:

4.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
2.0ms	z
1.0ms	x
1.0ms	y
1.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))

Results

Accuracy	Segments	Branch
46.6%	1	`z`
46.6%	1	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
46.6%	1	`y`
46.6%	1	`(*.f64 (cosh.f64 x) (/.f64 y x))`
46.6%	1	`x`

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.590488868643237e+52	3.5019714083197156e+54

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.249885640269038e+176	1.2181124214496578e+190

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch24.0ms (0.2%)

Memory

9.4MiB live, 48.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	4.789810065981756e+50	7.410343785552844e+51
12.0ms	9.664279201331278e-173	8.241842362652217e-167

Samples

14.0ms

240×

valid

Compiler

Compiled 458 to 295 computations (35.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 3.0ms (44% of total)

ival-cosh: 2.0ms (29.3% of total)

ival-mult: 1.0ms (14.7% of total)

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

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

bsearch2.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
1.0ms	4.789810065981756e+50	7.410343785552844e+51
1.0ms	8.738742733469787e-23	3.5388063127477117e-19

Samples

1.0ms

16×

valid

Compiler

Compiled 264 to 165 computations (37.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

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

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

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.392805374829806e+81	2.0321180131945294e+83

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.367358865024601e+298	1.988013371928605e+299

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.367358865024601e+298	1.988013371928605e+299

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.367358865024601e+298	1.988013371928605e+299

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch33.0ms (0.2%)

Memory

-10.9MiB live, 28.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
31.0ms	2.0015074833830615e+77	6.606766861160216e+81
1.0ms	9.664279201331278e-173	8.241842362652217e-167

Samples

26.0ms

128×

valid

Compiler

Compiled 757 to 452 computations (40.3% saved)

Precisions

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

ival-div: 21.0ms (92.8% of total)

ival-mult: 1.0ms (4.4% of total)

ival-cosh: 1.0ms (4.4% of total)

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

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

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.511737522682601e+188	2.7649291948943593e+202

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.511737522682601e+188	2.7649291948943593e+202

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3439788286675455e+305	8.826249763766173e+306

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.5052037724073536e+175	2.249885640269038e+176

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch12.0ms (0.1%)

Memory

22.1MiB live, 22.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
11.0ms	3.3112419128742648e+94	1.492198371302235e+97
0.0ms	8.738742733469787e-23	3.5388063127477117e-19

Samples

6.0ms

128×

valid

Compiler

Compiled 376 to 234 computations (37.8% saved)

Precisions

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

ival-div: 2.0ms (55.5% of total)

ival-mult: 1.0ms (27.8% of total)

ival-cosh: 1.0ms (27.8% of total)

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

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

bsearch39.0ms (0.3%)

Memory

-25.3MiB live, 13.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
37.0ms	4.789810065981756e+50	7.410343785552844e+51
1.0ms	9.664279201331278e-173	8.241842362652217e-167

Samples

34.0ms

80×

valid

Compiler

Compiled 554 to 340 computations (38.6% saved)

Precisions

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

ival-div: 1.0ms (44.5% of total)

ival-cosh: 1.0ms (44.5% of total)

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

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

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

bsearch15.0ms (0.1%)

Memory

24.4MiB live, 24.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.5899685077213583	238844.65310689577

Samples

8.0ms

144×

valid

Compiler

Compiled 320 to 202 computations (36.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (38.6% of total)

ival-cosh: 2.0ms (38.6% of total)

ival-mult: 1.0ms (19.3% of total)

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

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

bsearch27.0ms (0.2%)

Memory

-20.9MiB live, 20.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	0.5899685077213583	238844.65310689577

Samples

22.0ms

96×

valid

Compiler

Compiled 257 to 157 computations (38.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-cosh: 2.0ms (59.3% of total)

ival-div: 1.0ms (29.7% of total)

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

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

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

bsearch7.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	0.5899685077213583	238844.65310689577

Samples

3.0ms

64×

valid

Compiler

Compiled 221 to 139 computations (37.1% saved)

Precisions

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

ival-div: 1.0ms (49.7% of total)

ival-cosh: 1.0ms (49.7% of total)

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

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

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

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.5899685077213583	238844.65310689577

Compiler

Compiled 221 to 139 computations (37.1% saved)

simplify35.0ms (0.3%)

Memory

-8.7MiB live, 30.7MiB allocated

Algorithm

1×	egg-herbie

Rules

66×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	193	1157
1	230	1157

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 99999999999999999322094867436162797646170844194406400 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) (/.f64 (.f64 y (/.f64 (cosh.f64 x) z)) x))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 400000000000000002979592200829727956576797975433261548943857016525055940987126464105487950549562823363386241041113858513490173533123909273236227696446495534838615558944175685632 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) (.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z)))
(if (<=.f64 x #s(literal 6091515412016939/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072 binary64)) (/.f64 (.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x) (if (<=.f64 x #s(literal 7200000000000000217036429612386896011285712838066176 binary64)) (/.f64 (.f64 y (cosh.f64 x)) (.f64 x z)) (/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(approx (+ ( (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)))))) #s(literal 1 binary64))) z)) x)))
(if (<=.f64 x #s(literal 4253529586511731/42535295865117307932921825928971026432 binary64)) (/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) (if (<=.f64 x #s(literal 7200000000000000217036429612386896011285712838066176 binary64)) (.f64 y (/.f64 (cosh.f64 x) (.f64 x z))) (/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)))))) #s(literal 1 binary64))) z)) x)))
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 4999999999999999817033982815443287105513571612636783896840181921713543250771443712 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) (/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) z) x))
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 100000000000000005250476025520442024870446858110815915491585411551180245798890819578637137508044786404370444383288387817694252323536043057564479218478670698284838720092657580373783023379478809005936895323497079994508111903896764088007465274278014249457925878882005684283811566947219638686545940054016 binary64)) (/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal 1/720 binary64)) x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z) (/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64)))) z) x))
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 100000000000000005250476025520442024870446858110815915491585411551180245798890819578637137508044786404370444383288387817694252323536043057564479218478670698284838720092657580373783023379478809005936895323497079994508111903896764088007465274278014249457925878882005684283811566947219638686545940054016 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) (/.f64 (+.f64 (.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) y) x)) z) (/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64)))) z) x))
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 100000000000000005250476025520442024870446858110815915491585411551180245798890819578637137508044786404370444383288387817694252323536043057564479218478670698284838720092657580373783023379478809005936895323497079994508111903896764088007465274278014249457925878882005684283811566947219638686545940054016 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) (/.f64 (+.f64 (.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) y) x)) z) (/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)))))) #s(literal 1 binary64))) z)) x))
(if (<=.f64 x #s(literal 6091515412016939/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072 binary64)) (/.f64 (.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x) (if (<=.f64 x #s(literal 260000000000000018663387145971383195348398005969182809960058423038525829021696 binary64)) (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (.f64 x z)) (/.f64 y (.f64 x (/.f64 z #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))))
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 500000000000000011546545651348935774464919112425849637715282289077421094839728844432880898433975380555391192719129287098299595056567936753438014858326845092856015715723317824379483334901760 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) (/.f64 (+.f64 (.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) y) x)) z) (/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x))
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 500000000000000011546545651348935774464919112425849637715282289077421094839728844432880898433975380555391192719129287098299595056567936753438014858326845092856015715723317824379483334901760 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) (/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x))
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 199999999999999987850710501107292437200805744402346499063815431426464091260264678056866185148810154968737122361123243451574343874852720610604715976817337655499746028833640220821354205063248818116874396050971031981532793651016436653190982245392158996106920698373251448128152087616919197241498086962762874880 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) (/.f64 y (.f64 x (/.f64 z #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))))
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#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))

Outputs
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(if (<=.f64 x #s(literal 6091515412016939/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072 binary64)) (/.f64 (.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x) (if (<=.f64 x #s(literal 1199999999999999925403738619988159926563697116315648 binary64)) #s(approx (/ ( (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (.f64 x z))) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 y (.f64 x (.f64 x x)))) z)))))
(if (<=.f64 x #s(literal 4165829655317709/1125899906842624 binary64)) (/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) z)) x) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 y (.f64 x (.f64 x x)))) z))))
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) (/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 y (.f64 x (.f64 x x)))) z))))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))) z))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 #s(literal 1/2 binary64) (.f64 x y)))) z))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (.f64 x z))) (/.f64 #s(approx ( (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))) z))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (.f64 x z))) (/.f64 #s(approx ( (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 #s(literal 1/2 binary64) (.f64 x y)))) z))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))

soundness2.9s (21.8%)

Memory

12.2MiB live, 1 396.9MiB allocated

Rules

18 400×	`lower-fma.f64`
18 400×	`lower-fma.f32`
17 346×	`lower-fma.f64`
17 346×	`lower-fma.f32`
17 148×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	259
0	69	259
1	262	259
2	1814	259
0	8476	259
0	240	8495
1	824	8374
2	2838	8182
3	6810	8178
0	8240	7742
0	40	341
0	71	341
1	298	337
2	1882	337
0	8390	337
0	7	19
0	11	19
1	36	19
2	208	19
3	2161	19
0	8571	19
0	125	6470
1	396	6466
2	1182	6296
3	3129	6178
4	6244	6178
0	8033	6016
0	164	6146
1	520	6140
2	1619	6042
3	3411	5984
4	6834	5982
0	8324	5773
0	70	1004
1	201	1000
2	599	988
3	1416	982
4	2110	982
5	2777	980
6	3318	980
7	4807	976
8	5464	976
9	5934	976
10	6466	976
11	7754	976
0	8037	958

Stop Event

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

Compiler

Compiled 2 135 to 916 computations (57.1% saved)

preprocess314.0ms (2.4%)

Memory: 18.4MiB live, 542.6MiB allocated
Remove: (negabs z)
Compiler: Compiled 2 082 to 556 computations (73.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze105.0ms (0.8%)

sample750.0ms (5.7%)

preprocess159.0ms (1.2%)

explain163.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify114.0ms (0.9%)

localize26.0ms (0.2%)

series18.0ms (0.1%)

simplify434.0ms (3.3%)

rewrite249.0ms (1.9%)

eval54.0ms (0.4%)

prune76.0ms (0.6%)

simplify301.0ms (2.3%)

localize139.0ms (1.1%)

series33.0ms (0.3%)

simplify519.0ms (4%)

rewrite464.0ms (3.5%)

eval240.0ms (1.8%)

prune280.0ms (2.1%)

simplify317.0ms (2.4%)

localize217.0ms (1.7%)

series51.0ms (0.4%)

simplify426.0ms (3.3%)

rewrite360.0ms (2.7%)

eval193.0ms (1.5%)

prune141.0ms (1.1%)

simplify1.2s (9.3%)

localize471.0ms (3.6%)

series34.0ms (0.3%)

simplify510.0ms (3.9%)

rewrite413.0ms (3.2%)

eval174.0ms (1.3%)

prune175.0ms (1.3%)

regimes275.0ms (2.1%)

regimes44.0ms (0.3%)

regimes106.0ms (0.8%)

regimes23.0ms (0.2%)

regimes42.0ms (0.3%)

regimes30.0ms (0.2%)

regimes44.0ms (0.3%)

regimes69.0ms (0.5%)

regimes65.0ms (0.5%)

regimes27.0ms (0.2%)

regimes12.0ms (0.1%)

regimes49.0ms (0.4%)

regimes19.0ms (0.1%)

regimes46.0ms (0.4%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes19.0ms (0.1%)

regimes2.0ms (0%)

regimes11.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch24.0ms (0.2%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch33.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch12.0ms (0.1%)

bsearch39.0ms (0.3%)

bsearch15.0ms (0.1%)

bsearch27.0ms (0.2%)

bsearch7.0ms (0.1%)

bsearch1.0ms (0%)

simplify35.0ms (0.3%)

soundness2.9s (21.8%)

preprocess314.0ms (2.4%)

end0.0ms (0%)

Profiling