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

analyze102.0ms (0.7%)

Memory

3.0MiB live, 85.6MiB 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)

sample1.4s (9.9%)

Memory

0.3MiB live, 867.4MiB allocated

Samples

823.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 449.0ms

ival-div: 217.0ms (48.3% of total)

ival-cosh: 158.0ms (35.2% of total)

ival-mult: 65.0ms (14.5% of total)

ival-true: 6.0ms (1.3% of total)

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

Bogosity

preprocess201.0ms (1.4%)

Memory

-4.5MiB live, 121.9MiB 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)

explain96.0ms (0.7%)

Memory

-0.9MiB live, 117.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
19	-	-	`(*.f64 (cosh.f64 x) (/.f64 y x))`
17	-	-	`(/.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**	19	0
↳	`(cosh.f64 x)`	overflow	124
↳	`(/.f64 y x)`	underflow	19
`/.f64`	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`	o/n	17	0
↳	`(cosh.f64 x)`	overflow	124
↳	`(/.f64 y x)`	overflow	34
↳	`(*.f64 (cosh.f64 x) (/.f64 y x))`	overflow	158

Confusion

	Predicted +	Predicted -
+	36	0
-	0	220

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	36	0	0
-	0	0	220

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	220
1	36

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

41.0ms

512×

valid

Compiler

Compiled 70 to 32 computations (54.3% saved)

Precisions

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

ival-cosh: 12.0ms (52.3% of total)

ival-div: 7.0ms (30.5% of total)

ival-mult: 3.0ms (13.1% of total)

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

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

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.2%	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify108.0ms (0.8%)

Memory

17.8MiB live, 136.0MiB 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

6.6MiB live, 44.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(cosh.f64 x)
✓	accuracy	94.1%	(*.f64 (cosh.f64 x) (/.f64 y x))
✓	accuracy	93.7%	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Samples

18.0ms

256×

valid

Compiler

Compiled 24 to 9 computations (62.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 7.0ms (61% of total)

ival-cosh: 3.0ms (26.1% of total)

ival-mult: 1.0ms (8.7% of total)

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

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

series84.0ms (0.6%)

Memory

-1.6MiB live, 37.4MiB 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
70.0ms	x	@	-inf	(/ (* (cosh x) (/ y x)) z)
2.0ms	x	@	inf	(/ (* (cosh x) (/ y x)) z)
2.0ms	y	@	-inf	(/ (* (cosh x) (/ y x)) z)
2.0ms	y	@	0	(/ (* (cosh x) (/ y x)) z)
1.0ms	z	@	0	(/ (* (cosh x) (/ y x)) z)

simplify419.0ms (2.9%)

Memory

11.6MiB live, 636.8MiB 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)

rewrite218.0ms (1.5%)

Memory

-39.2MiB live, 351.1MiB 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))

eval92.0ms (0.6%)

Memory: 11.8MiB live, 91.1MiB allocated
Compiler: Compiled 6 720 to 1 065 computations (84.2% saved)

prune89.0ms (0.6%)

Memory

-22.3MiB live, 175.6MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	465	16	481
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	466	16	482

Accuracy

100.0%

Counts

482 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.6%	(/.f64 (.f64 (cosh.f64 x) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 y (neg.f64 x)) (/.f64 y (neg.f64 x)))) (/.f64 y (neg.f64 x)))) 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)
	80.2%	(/.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)
▶	70.4%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
▶	97.1%	(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)
	66.1%	(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z)
	82.7%	(/.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)
	46.6%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
	86.2%	(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x))
	78.8%	(.f64 (/.f64 y (.f64 x z)) (cosh.f64 x))
▶	91.7%	(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))
	81.4%	(.f64 y (/.f64 (cosh.f64 x) (.f64 x z)))
	66.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x x)) y) (*.f64 x z)))
▶	76.0%	#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)))
	73.0%	#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)))
▶	48.6%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))

Compiler

Compiled 516 to 300 computations (41.9% saved)

simplify462.0ms (3.3%)

Memory

4.0MiB live, 719.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

16 490×	`lower-fma.f32`
16 482×	`lower-fma.f64`
4 896×	`lower-*.f32`
4 882×	`lower-*.f64`
2 672×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	250
0	58	250
1	119	250
2	286	250
3	758	250
4	1607	250
5	1794	250
6	2213	250
7	3070	250
8	4223	250
9	5013	250
10	5263	250
11	5272	250
12	5276	250
13	6080	250
14	6410	250
15	6768	250
16	7448	250
17	7449	250
18	7560	250
19	7587	250
20	7603	250
21	7615	250
22	7623	248
0	9396	246

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

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

localize158.0ms (1.1%)

Memory

5.3MiB live, 255.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	100.0%	(cosh.f64 x)
✓	accuracy	100.0%	(/.f64 (cosh.f64 x) x)
✓	accuracy	92.8%	(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))
✓	accuracy	99.5%	(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
✓	accuracy	96.0%	(.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	88.9%	#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	82.9%	(/.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	100.0%	(*.f64 x x)
✓	accuracy	94.1%	(.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y x))
✓	accuracy	93.7%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
✓	accuracy	76.2%	#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	90.5%	(/.f64 y (*.f64 x z))
✓	accuracy	53.0%	#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	97.2%	(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)

Samples

85.0ms

256×

valid

Compiler

Compiled 216 to 33 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

const: 27.0ms (41.1% of total)

ival-mult: 16.0ms (24.4% of total)

ival-div: 13.0ms (19.8% of total)

ival-add: 6.0ms (9.1% of total)

ival-cosh: 4.0ms (6.1% of total)

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

exact: 0.0ms (0% of total)

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

series39.0ms (0.3%)

Memory

0.2MiB live, 79.5MiB allocated

Counts

21 → 528

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)>
#<alt (/.f64 (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)>
#<alt (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y x))>
#<alt #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))>
#<alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 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 y z) (/.f64 (cosh.f64 x) x))>
#<alt (/.f64 y z)>
#<alt (/.f64 (cosh.f64 x) x)>
#<alt (*.f64 x x)>
#<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)))>
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#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))>
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))>
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))>
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))>
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))>
#<alt (* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) (* x z)))>
#<alt (* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) (* x z)))>
#<alt (* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) (* x z)))>
#<alt (* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) (* x z)))>
#<alt (/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))>
#<alt (/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))>
#<alt (/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))>
#<alt (/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))>
#<alt (/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))>
#<alt (/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))>
#<alt (/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))>
#<alt (/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))>
#<alt (/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))>
#<alt (/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))>
#<alt (/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))>
#<alt (/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))>
#<alt y>
#<alt (+ y (* 1/2 (* (pow x 2) y)))>
#<alt (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))))>
#<alt (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))))>
#<alt (* 1/720 (* (pow x 6) y))>
#<alt (* (pow x 6) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))>
#<alt (* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))>
#<alt (* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6))))))>
#<alt (* 1/720 (* (pow x 6) y))>
#<alt (* (pow x 6) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))>
#<alt (* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))>
#<alt (* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6))))))>
#<alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))>
#<alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))>
#<alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))>
#<alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))>
#<alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))>
#<alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))>
#<alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))>
#<alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))>
#<alt (* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)))>
#<alt (* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)))>
#<alt (* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)))>
#<alt (* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)))>
#<alt (* 1/2 (* x y))>
#<alt (* x (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))>
#<alt (* x (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))>
#<alt (* x (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))>
#<alt (* 1/720 (* (pow x 5) y))>
#<alt (* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))>
#<alt (* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))>
#<alt (* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))>
#<alt (* 1/720 (* (pow x 5) y))>
#<alt (* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))>
#<alt (* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))>
#<alt (* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))>
#<alt (* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<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 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 (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) x)>
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) x)>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (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 (* 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

132 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(/ y (* x z))
3.0ms	z	@	0	(/ y z)
2.0ms	x	@	0	(/ y (* x z))
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))

simplify429.0ms (3%)

Memory

8.2MiB live, 871.4MiB allocated

Algorithm

1×	egg-herbie

Rules

14 614×	`lower-fma.f64`
14 614×	`lower-fma.f32`
5 684×	`lower-*.f64`
5 684×	`lower-*.f32`
2 650×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	196	6676
1	630	6556
2	2014	6406
3	5405	6366
0	8259	6100

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 527

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

rewrite397.0ms (2.8%)

Memory

-1.7MiB live, 721.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 674×	`lower-fma.f32`
5 666×	`lower-fma.f64`
4 780×	`lower-*.f32`
4 766×	`lower-*.f64`
3 814×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	208
0	58	208
1	222	208
2	1516	208
0	8508	208

Stop Event

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

Counts

21 → 904

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

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

eval177.0ms (1.2%)

Memory: 36.3MiB live, 465.6MiB allocated
Compiler: Compiled 33 909 to 2 564 computations (92.4% saved)

prune229.0ms (1.6%)

Memory

-14.7MiB live, 519.5MiB allocated

Pruning

38 alts after pruning (37 fresh and 1 done)

	Pruned	Kept	Total
New	1 500	32	1 532
Fresh	6	5	11
Picked	4	1	5
Done	0	0	0
Total	1 510	38	1 548

Accuracy

100.0%

Counts

1 548 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.5%	(/.f64 (.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 x)) z)
	80.2%	(/.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)
	33.0%	(/.f64 (.f64 #s(approx (cosh x) #s(approx (+ ( 1/2 (* x x)) 1) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) (/.f64 y x)) z)
▶	91.1%	(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.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))) #s(literal 1 binary64))) z)) x)
	82.6%	(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) z)) x)
	54.1%	(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x)
▶	66.9%	(/.f64 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x z))
	66.1%	(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z)
	75.4%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 x x)) y) x)) z)
	46.6%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
	86.6%	(/.f64 #s(approx (* y (/ (cosh x) z)) (fma.f64 (.f64 x 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)
	54.2%	(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x)
	81.4%	(.f64 (/.f64 (cosh.f64 x) (.f64 x z)) y)
	86.2%	(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x))
	72.1%	(.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x))
	78.8%	(.f64 (/.f64 y (.f64 x z)) (cosh.f64 x))
	64.6%	(.f64 (/.f64 y (.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	54.1%	(*.f64 (/.f64 y z) (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x))
	66.0%	(.f64 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x z)))
	76.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 (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 y x)) x y) (*.f64 x z)))
	76.8%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.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))) y y) (*.f64 x z)))
	54.4%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (.f64 (.f64 y x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (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)))) #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))) y) (*.f64 x z)))
	62.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)))) y) (*.f64 x z)))
	75.8%	#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)))
▶	73.0%	#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) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)))
	75.6%	#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 y (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/720 binary64)))))) y) (.f64 x z)))
	75.6%	#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 y (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))))) y) (*.f64 x z)))
	65.8%	#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 #s(literal 1/2 binary64) y))) y) (.f64 x z)))
	47.3%	#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 (.f64 (.f64 (.f64 x x) (.f64 x 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 #s(approx (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2))) (.f64 #s(literal 1/720 binary64) (.f64 y (.f64 (.f64 (.f64 x x) (.f64 x x)) x)))) y) (*.f64 x z)))
▶	86.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 y (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))) y) x) z))
	53.6%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))
	76.8%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (fma.f64 y (.f64 x (.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)))) y)) (*.f64 x z)))
✓	48.6%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))
	48.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
	46.6%	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
▶	47.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y))
	47.2%	#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 #s(literal 1/720 binary64) (.f64 y (.f64 (.f64 (.f64 x x) (.f64 x x)) x))) z)))

Compiler

Compiled 1 483 to 827 computations (44.2% saved)

simplify390.0ms (2.7%)

Memory

-6.2MiB live, 509.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

11 172×	`lower-fma.f32`
11 156×	`lower-fma.f64`
3 716×	`lower-+.f64`
3 716×	`lower-+.f32`
3 464×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	521
0	87	521
1	191	517
2	426	517
3	1224	517
4	2663	517
5	6417	517
6	6808	517
7	7197	517
8	7424	517
9	7441	517
10	7442	517
0	8289	517

Stop Event

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

Calls

Call 1

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

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

localize184.0ms (1.3%)

Memory

1.3MiB live, 469.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(/.f64 (fma.f64 (.f64 x x) (.f64 y (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))) y) x)
✓	accuracy	96.0%	(.f64 y (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
✓	accuracy	90.0%	(/.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 y (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))) y) x) z)
✓	accuracy	88.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 y (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))) y) x) z))
✓	accuracy	96.0%	(.f64 y (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
✓	accuracy	88.9%	#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) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)))
✓	accuracy	82.9%	(/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))
✓	accuracy	52.6%	#s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
✓	accuracy	85.1%	(/.f64 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x z))
✓	accuracy	76.2%	#s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 x z))
✓	accuracy	89.5%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y)
✓	accuracy	53.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y))
✓	accuracy	99.7%	(.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
✓	accuracy	99.5%	(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
✓	accuracy	97.2%	(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.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))) #s(literal 1 binary64))) z)) x)
✓	accuracy	91.2%	#s(approx (cosh x) (fma.f64 x (.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))) #s(literal 1 binary64)))

Samples

100.0ms

256×

valid

Compiler

Compiled 404 to 51 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-mult: 37.0ms (49.9% of total)

ival-div: 15.0ms (20.2% of total)

ival-add: 12.0ms (16.2% of total)

const: 7.0ms (9.4% 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)

series27.0ms (0.2%)

Memory

1.1MiB live, 77.3MiB allocated

Counts

26 → 648

Calls

Call 1

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

Outputs
#<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 (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<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)))))>
#<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 (* 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))))))>

Calls

162 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	(/ (+ (* (* x x) (* y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2))) y) x)
0.0ms	y	@	0	(/ (+ (* (* x x) (* y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2))) y) x)
0.0ms	y	@	-inf	(/ (+ (* (* x x) (* y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2))) y) x)
0.0ms	x	@	inf	(* x 1/2)
0.0ms	x	@	-inf	(/ 1 (* x z))

simplify467.0ms (3.3%)

Memory

5.0MiB live, 973.7MiB allocated

Algorithm

1×	egg-herbie

Rules

15 916×	`lower-fma.f64`
15 916×	`lower-fma.f32`
5 626×	`lower-*.f64`
5 626×	`lower-*.f32`
2 364×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	205	8976
1	679	8746
2	2188	8526
3	5294	8442
0	8201	7971

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 645

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

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

rewrite388.0ms (2.7%)

Memory

9.6MiB live, 839.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 836×	`lower-/.f32`
4 822×	`lower-/.f64`
4 734×	`lower-*.f32`
4 710×	`lower-*.f64`
4 358×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	398
0	87	398
1	351	394
2	2138	394
0	8317	394

Stop Event

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

Counts

26 → 820

Calls

Call 1

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

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

eval299.0ms (2.1%)

Memory: -4.9MiB live, 350.5MiB allocated
Compiler: Compiled 44 637 to 2 992 computations (93.3% saved)

prune401.0ms (2.8%)

Memory

5.2MiB live, 285.4MiB allocated

Pruning

47 alts after pruning (44 fresh and 3 done)

	Pruned	Kept	Total
New	1 533	18	1 551
Fresh	6	26	32
Picked	3	2	5
Done	0	1	1
Total	1 542	47	1 589

Accuracy

100.0%

Counts

1 589 → 47

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.5%	(/.f64 (.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 x)) z)
▶	80.2%	(/.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)
	33.0%	(/.f64 (.f64 #s(approx (cosh x) #s(approx (+ ( 1/2 (* x x)) 1) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) (/.f64 y x)) z)
	91.1%	(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
▶	91.1%	(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
	90.9%	(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(approx (+ ( (* x x) 1/720) 1/24) (.f64 x (.f64 x #s(literal 1/720 binary64))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
	82.6%	(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x)
	54.1%	(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x)
	76.8%	(/.f64 (.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)))) (*.f64 x z))
	25.9%	(/.f64 (.f64 y #s(approx (cosh x) #s(approx (+ ( x (* x 1/2)) 1) (.f64 #s(literal 1/2 binary64) (.f64 x x))))) (*.f64 x z))
	66.1%	(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z)
	75.4%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 x x)) y) x)) z)
	46.6%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
	86.6%	(/.f64 #s(approx (* y (/ (cosh x) z)) (fma.f64 (.f64 x 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)
▶	54.2%	(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x)
	81.4%	(.f64 (/.f64 (cosh.f64 x) (.f64 x z)) y)
	86.2%	(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x))
	75.2%	(.f64 (/.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 x z)) y)
▶	66.4%	(.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y)
	72.1%	(.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x))
	78.8%	(.f64 (/.f64 y (.f64 x z)) (cosh.f64 x))
	54.1%	(*.f64 (/.f64 y z) (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x))
	66.0%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
	75.9%	(.f64 (.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)))) (/.f64 #s(literal 1 binary64) (.f64 x z)))
	76.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 (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 y x)) x y) (*.f64 x z)))
	54.4%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (.f64 (.f64 y x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (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)))) #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))) y) (*.f64 x z)))
	62.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)))) y) (*.f64 x z)))
	75.8%	#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 x (.f64 x #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)))) y) (*.f64 x z)))
✓	73.0%	#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) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)))
	75.2%	#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 x x) (.f64 (.f64 y (.f64 x x)) #s(literal 1/720 binary64))))) y) (.f64 x z)))
▶	75.6%	#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 y (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/720 binary64)))))) y) (.f64 x z)))
	75.6%	#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 y (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))))) y) (*.f64 x z)))
	65.8%	#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 #s(literal 1/2 binary64) y))) y) (.f64 x z)))
	47.3%	#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 (.f64 (.f64 (.f64 x x) (.f64 x x)) x) (.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x)))))) y) (.f64 x z)))
	86.6%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) y) (*.f64 y #s(literal 1/2 binary64))) y) x) z))
	53.6%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))
	86.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.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 #s(literal 1 binary64) x)) z))
	33.1%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 (.f64 y (.f64 x x)) (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) (fma.f64 (.f64 y (.f64 x x)) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (neg.f64 y))) (.f64 (.f64 x z) (fma.f64 (.f64 y (.f64 x x)) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (neg.f64 y)))))
	76.8%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (fma.f64 y (.f64 x (.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)))) y)) (*.f64 x z)))
✓	48.6%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))
	48.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
	75.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.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) #s(literal -1 binary64)) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) z)))
	47.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y))
	47.6%	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y))
	46.6%	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
✓	47.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y))
	47.2%	#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 #s(literal 1/720 binary64) (.f64 y (.f64 (.f64 (.f64 x x) (.f64 x x)) x))) z)))

Compiler

Compiled 1 944 to 1 064 computations (45.3% saved)

simplify592.0ms (4.2%)

Memory

-19.9MiB live, 273.7MiB 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	(.f64 x #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 y (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/720 binary64))))))
✓	cost-diff	0	(fma.f64 x (.f64 x #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 y (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/720 binary64)))))) y)
✓	cost-diff	0	(/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 y (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/720 binary64)))))) y) (.f64 x z))
✓	cost-diff	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 y (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/720 binary64)))))) y) (.f64 x z)))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	#s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 x z))
✓	cost-diff	0	(.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y)
✓	cost-diff	0	(/.f64 y z)
✓	cost-diff	0	#s(approx (* y (/ (cosh x) z)) (/.f64 y z))
✓	cost-diff	0	(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x)
✓	cost-diff	0	(/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/720 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 x (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z))
✓	cost-diff	320	(fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64))))
✓	cost-diff	384	(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)

Rules

6 342×	`lower-fma.f32`
6 328×	`lower-fma.f64`
4 182×	`lower-*.f32`
4 154×	`lower-*.f64`
2 872×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	583
0	95	547
1	204	547
2	413	533
3	775	533
4	1175	533
5	1290	533
6	1703	533
7	2402	533
8	3709	533
9	4137	533
10	4623	533
11	4709	533
12	4709	533
13	4709	533
14	4881	533
15	4911	533
16	4946	533
17	4953	533
18	4953	533
19	4953	533
20	4984	533
21	4984	533
22	4994	533
23	5006	533
24	5030	533
25	5100	533
26	5179	531
27	5348	531
28	6676	531
29	7752	531
0	8091	529

Stop Event

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

Calls

Call 1

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

localize313.0ms (2.2%)

Memory

8.3MiB live, 281.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
✓	accuracy	94.1%	(.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	93.7%	(/.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	91.2%	#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	92.0%	(.f64 y (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/720 binary64))))
✓	accuracy	88.9%	#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 y (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/720 binary64)))))) y) (.f64 x z)))
✓	accuracy	82.9%	(/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 y (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/720 binary64)))))) y) (.f64 x z))
✓	accuracy	50.8%	#s(approx (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 y (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/720 binary64)))))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	94.7%	(.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y)
✓	accuracy	89.3%	(/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 x z))
✓	accuracy	76.2%	#s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	97.2%	(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x)
✓	accuracy	57.5%	#s(approx (* y (/ (cosh x) z)) (/.f64 y z))
✓	accuracy	99.8%	(fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64))))
✓	accuracy	99.4%	(.f64 (.f64 x x) #s(literal 1/720 binary64))
✓	accuracy	97.2%	(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
✓	accuracy	91.2%	#s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))

Samples

92.0ms

256×

valid

Compiler

Compiled 373 to 48 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-mult: 37.0ms (55.1% of total)

ival-div: 11.0ms (16.4% of total)

ival-add: 8.0ms (11.9% of total)

const: 6.0ms (8.9% of total)

ival-cosh: 3.0ms (4.5% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.1%)

Memory

29.3MiB live, 29.3MiB allocated

Counts

25 → 588

Calls

Call 1

Inputs
#<alt (/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)>
#<alt (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64))))>
#<alt (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z))>
#<alt (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)>
#<alt (/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x)>
#<alt #s(approx (* y (/ (cosh x) z)) (/.f64 y z))>
#<alt (/.f64 y z)>
#<alt (.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y)>
#<alt (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 x z))>
#<alt #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))>
#<alt #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 y (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/720 binary64)))))) y) (.f64 x z)))>
#<alt (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 y (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/720 binary64)))))) y) (.f64 x z))>
#<alt (fma.f64 x (.f64 x #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 y (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/720 binary64)))))) y)>
#<alt (.f64 x #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 y (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/720 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 y x)) 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))) (/.f64 y x))>
#<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 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 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))>
#<alt (.f64 (.f64 x x) #s(literal 1/720 binary64))>
#<alt (*.f64 x #s(literal 1/2 binary64))>
#<alt #s(approx (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 y (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/720 binary64)))))>
#<alt (.f64 y (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/720 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 (/ 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 (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* x (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* x (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* 1/720 (pow x 3))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/720 (pow x 3))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))>
#<alt (/ y z)>
#<alt (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z))>
#<alt (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z))>
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))>
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))>
#<alt (/ 1 z)>
#<alt (+ (* 1/2 (/ (pow x 2) z)) (/ 1 z))>
#<alt (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))>
#<alt (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp 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 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)))>
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#<alt (* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (/ y (* 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 (/ 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 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 (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<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 (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 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))))))>
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#<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)>
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#<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))>
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#<alt (* 1/720 (* (pow x 4) y))>
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#<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 (* 1/720 (* (pow x 4) y))>
#<alt (* 1/720 (* (pow x 4) y))>
#<alt (* 1/720 (* (pow x 4) y))>
#<alt (* 1/720 (* (pow x 4) y))>
#<alt (* 1/720 (* (pow x 4) y))>
#<alt (* 1/720 (* (pow x 4) y))>
#<alt (* 1/720 (* (pow x 4) y))>
#<alt (* 1/720 (* (pow x 4) y))>
#<alt (* 1/720 (* (pow x 4) y))>
#<alt (* 1/720 (* (pow x 4) y))>
#<alt (* 1/720 (* (pow x 4) y))>
#<alt (* 1/720 (* (pow x 4) y))>
#<alt (* 1/720 (* (pow x 4) y))>
#<alt (* 1/720 (* (pow x 4) y))>
#<alt (* 1/720 (* (pow x 4) y))>
#<alt (* 1/720 (* (pow x 4) y))>
#<alt (* 1/720 (* (pow x 4) y))>
#<alt (* 1/720 (* (pow x 4) y))>
#<alt (* 1/720 (* (pow x 4) y))>
#<alt (* 1/720 (* (pow x 4) y))>
#<alt (* 1/720 (* (pow x 4) y))>
#<alt (* 1/720 (* (pow x 4) y))>
#<alt (* 1/720 (* (pow x 4) y))>
#<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

147 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(* y (* x (* (* x (* x x)) 1/720)))
1.0ms	y	@	inf	(* y (* x (* (* x (* x x)) 1/720)))
0.0ms	x	@	-inf	(/ (cosh x) (* x z))
0.0ms	x	@	0	(* y (* x (* (* x (* x x)) 1/720)))
0.0ms	x	@	0	(+ (* x 1/24) (* x (* (* x x) 1/720)))

simplify496.0ms (3.5%)

Memory

-22.6MiB live, 932.5MiB allocated

Algorithm

1×	egg-herbie

Rules

22 056×	`lower-fma.f64`
22 056×	`lower-fma.f32`
5 464×	`lower-*.f64`
5 464×	`lower-*.f32`
3 814×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	214	7638
1	694	7518
2	2167	7346
3	5005	7288
0	8457	6995

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 587

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)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
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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)))
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(* 1/24 x)
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* 1/720 (pow x 3))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 3))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/2 (/ (* 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)))) 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))
(* 1/2 (/ (* 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))
(* 1/2 (/ (* 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)))
(* 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)))
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(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
1
(+ 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))))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 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))))))
(* 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))))))
(* 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))))))
(* 1/720 (* (pow x 4) y))
(* 1/720 (* (pow x 4) y))
(* 1/720 (* (pow x 4) y))
(* 1/720 (* (pow x 4) y))
(* 1/720 (* (pow x 4) y))
(* 1/720 (* (pow x 4) y))
(* 1/720 (* (pow x 4) y))
(* 1/720 (* (pow x 4) y))
(* 1/720 (* (pow x 4) y))
(* 1/720 (* (pow x 4) y))
(* 1/720 (* (pow x 4) y))
(* 1/720 (* (pow x 4) y))
(* 1/720 (* (pow x 4) y))
(* 1/720 (* (pow x 4) y))
(* 1/720 (* (pow x 4) y))
(* 1/720 (* (pow x 4) y))
(* 1/720 (* (pow x 4) y))
(* 1/720 (* (pow x 4) y))
(* 1/720 (* (pow x 4) y))
(* 1/720 (* (pow x 4) y))
(* 1/720 (* (pow x 4) y))
(* 1/720 (* (pow x 4) y))
(* 1/720 (* (pow x 4) y))
(* 1/720 (* (pow x 4) y))
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 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) (*.f64 x z))
(/ y (* x z))
(/.f64 y (*.f64 x z))
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(/.f64 (.f64 (/.f64 y z) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) x)
(/ (+ (* (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)
(/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (/.f64 y z) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (.f64 (/.f64 y z) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) (*.f64 x z))
(* 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 x (.f64 (*.f64 x x) #s(literal 1/720 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)))
(* (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 x (.f64 (*.f64 x x) #s(literal 1/720 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)))
(* (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)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) z)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) z)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) z)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) z)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) z)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) z)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) z)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) z)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) z)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) z)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) z)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) z)
(/ y z)
(/.f64 y z)
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z))
(.f64 (/.f64 y z) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)))
(+ (* (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 (.f64 x x) (.f64 (.f64 x x) (.f64 (/.f64 y z) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (.f64 (/.f64 y z) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) z)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) z)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) z)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) z)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) z)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) z)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) z)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) z)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) z)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) z)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) z)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) z)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) z)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) z)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) z)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) z)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) y)) z)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
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(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(.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)))
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(.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)))
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(.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)))
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(.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)))
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(.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)))
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(.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)))
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(.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)))
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(.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)))
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(.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)))
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(.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)))
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(.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)))
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(.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)))
(* 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)))
(+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))
(.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)))
(+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))
(.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)))
(* 1/720 (* (pow x 4) y))
(.f64 y (.f64 x (.f64 x (.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)) (.f64 y (+.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 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 y (+.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)))))))
(* 1/720 (* (pow x 4) y))
(.f64 y (.f64 x (.f64 x (.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)) (.f64 y (+.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 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 y (+.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)))))))
(* 1/720 (* (pow x 4) y))
(.f64 y (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(* 1/720 (* (pow x 4) y))
(.f64 y (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(* 1/720 (* (pow x 4) y))
(.f64 y (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(* 1/720 (* (pow x 4) y))
(.f64 y (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(* 1/720 (* (pow x 4) y))
(.f64 y (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(* 1/720 (* (pow x 4) y))
(.f64 y (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(* 1/720 (* (pow x 4) y))
(.f64 y (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(* 1/720 (* (pow x 4) y))
(.f64 y (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(* 1/720 (* (pow x 4) y))
(.f64 y (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(* 1/720 (* (pow x 4) y))
(.f64 y (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(* 1/720 (* (pow x 4) y))
(.f64 y (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(* 1/720 (* (pow x 4) y))
(.f64 y (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(* 1/720 (* (pow x 4) y))
(.f64 y (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(* 1/720 (* (pow x 4) y))
(.f64 y (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(* 1/720 (* (pow x 4) y))
(.f64 y (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(* 1/720 (* (pow x 4) y))
(.f64 y (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(* 1/720 (* (pow x 4) y))
(.f64 y (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(* 1/720 (* (pow x 4) y))
(.f64 y (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(* 1/720 (* (pow x 4) y))
(.f64 y (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(* 1/720 (* (pow x 4) y))
(.f64 y (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(* 1/720 (* (pow x 4) y))
(.f64 y (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(* 1/720 (* (pow x 4) y))
(.f64 y (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(* 1/720 (* (pow x 4) y))
(.f64 y (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(* 1/720 (* (pow x 4) y))
(.f64 y (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 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))

rewrite626.0ms (4.4%)

Memory

20.8MiB live, 654.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 632×	`lower-fma.f32`
4 618×	`lower-fma.f64`
4 432×	`lower-/.f32`
4 416×	`lower-/.f64`
4 120×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	441
0	95	419
1	361	419
2	2051	407
0	8393	407

Stop Event

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

Counts

25 → 622

Calls

Call 1

Inputs
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
(fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z))
(/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x)
#s(approx (* y (/ (cosh x) z)) (/.f64 y z))
(/.f64 y z)
(.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y)
(/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 x z))
#s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
#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 y (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/720 binary64)))))) y) (.f64 x z)))
(/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 y (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/720 binary64)))))) y) (.f64 x z))
(fma.f64 x (.f64 x #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 y (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/720 binary64)))))) y)
(.f64 x #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 y (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/720 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 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))
#s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(*.f64 x #s(literal 1/2 binary64))
#s(approx (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 y (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/720 binary64)))))
(.f64 y (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/720 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 #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 0 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 z)) (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 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))) (/.f64 y z)) (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 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)) (neg.f64 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))) (/.f64 y z)) (neg.f64 x)))
(/.f64 y (.f64 x (/.f64 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) (.f64 x (/.f64 z (.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 (neg.f64 (.f64 x (/.f64 z (.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 x z) (.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(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 (/.f64 x y)))
(/.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))) z) (/.f64 x y))
(/.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 y x) (/.f64 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 (.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 x)) z)
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(/.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 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64)) (.f64 (.f64 x x) #s(literal 1/17280 binary64))))
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(/.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64)) (fma.f64 x (.f64 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 x (.f64 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 x (.f64 x (.f64 x x)))) (.f64 (*.f64 x x) #s(literal 1/17280 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))) (neg.f64 (fma.f64 x (.f64 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 x (.f64 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 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/576 binary64))) (.f64 (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 (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 x (.f64 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 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (.f64 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 x (.f64 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 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 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 x (.f64 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 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 (.f64 #s(literal 1/518400 binary64) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (fma.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/518400 binary64) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 x (*.f64 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 x (.f64 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 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1/17280 binary64))))))
(.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 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 x (.f64 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 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 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 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))

eval309.0ms (2.2%)

Memory: 19.7MiB live, 208.5MiB allocated
Compiler: Compiled 31 722 to 2 236 computations (93% saved)

prune538.0ms (3.8%)

Memory

1.1MiB live, 207.1MiB allocated

Pruning

51 alts after pruning (44 fresh and 7 done)

	Pruned	Kept	Total
New	1 198	11	1 209
Fresh	6	33	39
Picked	1	4	5
Done	0	3	3
Total	1 205	51	1 256

Accuracy

100.0%

Counts

1 256 → 51

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.6%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 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)))))) z)
	53.2%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 (.f64 x 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))) (/.f64 #s(literal 1 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))) #s(literal 1 binary64))) (/.f64 y x)) z)
	77.5%	(/.f64 (.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 x)) z)
✓	80.2%	(/.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)
	80.1%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (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))) #s(literal 1 binary64))) (/.f64 y x)) z)
	33.0%	(/.f64 (.f64 #s(approx (cosh x) #s(approx (+ ( 1/2 (* x x)) 1) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) (/.f64 y x)) z)
✓	91.1%	(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
	90.9%	(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(approx (+ ( (* x x) 1/720) 1/24) (.f64 x (.f64 x #s(literal 1/720 binary64))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
	82.6%	(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x)
	54.1%	(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x)
	76.8%	(/.f64 (.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)))) (*.f64 x z))
	25.9%	(/.f64 (.f64 y #s(approx (cosh x) #s(approx (+ ( x (* x 1/2)) 1) (.f64 #s(literal 1/2 binary64) (.f64 x x))))) (*.f64 x z))
	66.1%	(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z)
	75.4%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 x x)) y) x)) z)
	46.6%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
✓	54.2%	(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x)
	54.0%	(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 #s(literal 1 binary64) (/.f64 z y))) x)
	78.8%	(.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) x) y)
	81.4%	(.f64 (/.f64 (cosh.f64 x) (.f64 x z)) y)
	86.2%	(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x))
	75.2%	(.f64 (/.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 x z)) y)
✓	66.4%	(.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y)
	26.4%	(.f64 (/.f64 #s(approx (cosh x) #s(approx (+ ( x (* x 1/2)) 1) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) (*.f64 x z)) y)
	78.8%	(.f64 (/.f64 y (.f64 x z)) (cosh.f64 x))
	54.1%	(*.f64 (/.f64 y z) (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x))
	66.0%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
	66.4%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) y)
	75.9%	(.f64 (.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)))) (/.f64 #s(literal 1 binary64) (.f64 x z)))
	75.6%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 x x) #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 y (.f64 x (.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x x)))))) y) (.f64 x z)))
	54.4%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (.f64 (.f64 y x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (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)))) #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))) y) (*.f64 x z)))
	62.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)))) y) (*.f64 x z)))
	75.8%	#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 x (.f64 x #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)))) y) (*.f64 x z)))
✓	73.0%	#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) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)))
	75.2%	#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 y x) #s(literal 1/720 binary64)) (.f64 x (.f64 x x))))) y) (.f64 x z)))
	75.2%	#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 y (.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x x)))) x))) y) (.f64 x z)))
	75.2%	#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 x x) (.f64 (.f64 y (.f64 x x)) #s(literal 1/720 binary64))))) y) (.f64 x z)))
	75.6%	#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 y (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))))) y) (*.f64 x z)))
	65.8%	#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 #s(literal 1/2 binary64) y))) y) (.f64 x z)))
	47.3%	#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 (.f64 (.f64 (.f64 x x) (.f64 x x)) x) (.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x)))))) y) (.f64 x z)))
	86.6%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) y) (*.f64 y #s(literal 1/2 binary64))) y) x) z))
	90.4%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 y (.f64 x (.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x x)))))) y) z) x))
	86.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.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 #s(literal 1 binary64) x)) z))
	33.1%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 (.f64 y (.f64 x x)) (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) (fma.f64 (.f64 y (.f64 x x)) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (neg.f64 y))) (.f64 (.f64 x z) (fma.f64 (.f64 y (.f64 x x)) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (neg.f64 y)))))
✓	48.6%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))
	48.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
	75.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.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) #s(literal -1 binary64)) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) z)))
	47.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y))
	47.6%	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y))
	46.6%	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
✓	47.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y))
	47.2%	#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 #s(literal 1/720 binary64) (.f64 y (.f64 (.f64 (.f64 x x) (.f64 x x)) x))) z)))

Compiler

Compiled 2 504 to 890 computations (64.5% saved)

regimes212.0ms (1.5%)

Memory

-61.6MiB live, 160.8MiB 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 (* y (/ (cosh x) z)) (/.f64 y z)) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#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) x) z) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 (/.f64 y z) (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x))
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x)
(.f64 (/.f64 #s(approx (cosh x) #s(approx (+ ( x (* x 1/2)) 1) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) (*.f64 x z)) y)
(/.f64 (.f64 y #s(approx (cosh x) #s(approx (+ ( x (* x 1/2)) 1) (.f64 #s(literal 1/2 binary64) (.f64 x x))))) (*.f64 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 #s(literal 1/2 binary64) y))) y) (.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 (/.f64 y (.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y)
(/.f64 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x z))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 #s(literal 1 binary64) (/.f64 z y))) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z)
(.f64 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x z)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) y)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 #s(approx (cosh x) #s(approx (+ ( 1/2 (* x x)) 1) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) (/.f64 y x)) z)
(.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x))
(.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) x) y)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 x x)) 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(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) #s(approx (/ (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 #s(literal 1/720 binary64) (.f64 y (.f64 (.f64 (.f64 x x) (.f64 x x)) 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 x (.f64 x (.f64 y (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 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 (.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 #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 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 #s(literal 1/720 binary64) (.f64 y (.f64 (.f64 (.f64 x x) (.f64 x x)) x)))) y) (*.f64 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 y (.f64 x (.f64 (.f64 x (.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 #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 (.f64 x x) (.f64 (.f64 y (.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 #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 (.f64 y (.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x x)))) x))) y) (.f64 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 (.f64 y x) #s(literal 1/720 binary64)) (.f64 x (.f64 x x))))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 x x) #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 y (.f64 x (.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x x)))))) y) (.f64 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 y (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #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 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) (.f64 x (.f64 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 (.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 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (fma.f64 y (.f64 x (.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)))) 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)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.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))) y y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 (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 y x)) x y) (*.f64 x z)))
(.f64 (/.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 x z)) y)
(/.f64 (.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)))) (*.f64 x z))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 y (.f64 x (.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x x)))))) y) z) x))
(.f64 (.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)))) (/.f64 #s(literal 1 binary64) (.f64 x z)))
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(approx (+ ( (* x x) 1/720) 1/24) (.f64 x (.f64 x #s(literal 1/720 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) (.f64 (.f64 x x) #s(literal 1/720 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 y (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))) y) x) z))
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.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))) #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 x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.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 #s(literal 1 binary64) x)) z))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) y) (*.f64 y #s(literal 1/2 binary64))) y) x) z))
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 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 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
#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 (.f64 (.f64 (.f64 x x) (.f64 x 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 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)
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.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) #s(literal -1 binary64)) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) z)))
(/.f64 #s(approx (* y (/ (cosh x) z)) (fma.f64 (.f64 x 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)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 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 (.f64 (fma.f64 (.f64 y (.f64 x x)) (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) (fma.f64 (.f64 y (.f64 x x)) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (neg.f64 y))) (.f64 (.f64 x z) (fma.f64 (.f64 y (.f64 x x)) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (neg.f64 y)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (.f64 (.f64 y x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (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)))) #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))) y) (*.f64 x z)))
(.f64 y (/.f64 (cosh.f64 x) (.f64 x z)))
(.f64 (/.f64 y (.f64 x z)) (cosh.f64 x))
(.f64 (/.f64 (cosh.f64 x) (.f64 x z)) y)
(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 (.f64 x 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))) (/.f64 #s(literal 1 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))) #s(literal 1 binary64))) (/.f64 y x)) z)
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x))
(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(/.f64 (.f64 (cosh.f64 x) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 y (neg.f64 x)) (/.f64 y (neg.f64 x)))) (/.f64 y (neg.f64 x)))) z)

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

Calls

5 calls:

64.0ms	x
46.0ms	z
34.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
22.0ms	y
20.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))

Results

Accuracy	Segments	Branch
97.1%	1	`x`
97.1%	1	`y`
97.1%	1	`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)

regimes45.0ms (0.3%)

Memory

22.5MiB live, 60.2MiB allocated

Counts

76 → 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 (* y (/ (cosh x) z)) (/.f64 y z)) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#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) x) z) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 (/.f64 y z) (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x))
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x)
(.f64 (/.f64 #s(approx (cosh x) #s(approx (+ ( x (* x 1/2)) 1) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) (*.f64 x z)) y)
(/.f64 (.f64 y #s(approx (cosh x) #s(approx (+ ( x (* x 1/2)) 1) (.f64 #s(literal 1/2 binary64) (.f64 x x))))) (*.f64 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 #s(literal 1/2 binary64) y))) y) (.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 (/.f64 y (.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y)
(/.f64 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x z))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 #s(literal 1 binary64) (/.f64 z y))) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z)
(.f64 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x z)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) y)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 #s(approx (cosh x) #s(approx (+ ( 1/2 (* x x)) 1) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) (/.f64 y x)) z)
(.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x))
(.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) x) y)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 x x)) 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(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) #s(approx (/ (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 #s(literal 1/720 binary64) (.f64 y (.f64 (.f64 (.f64 x x) (.f64 x x)) 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 x (.f64 x (.f64 y (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 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 (.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 #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 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 #s(literal 1/720 binary64) (.f64 y (.f64 (.f64 (.f64 x x) (.f64 x x)) x)))) y) (*.f64 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 y (.f64 x (.f64 (.f64 x (.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 #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 (.f64 x x) (.f64 (.f64 y (.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 #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 (.f64 y (.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x x)))) x))) y) (.f64 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 (.f64 y x) #s(literal 1/720 binary64)) (.f64 x (.f64 x x))))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 x x) #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 y (.f64 x (.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x x)))))) y) (.f64 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 y (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #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 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) (.f64 x (.f64 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 (.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 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (fma.f64 y (.f64 x (.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)))) 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)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.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))) y y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 (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 y x)) x y) (*.f64 x z)))
(.f64 (/.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 x z)) y)
(/.f64 (.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)))) (*.f64 x z))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 y (.f64 x (.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x x)))))) y) z) x))
(.f64 (.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)))) (/.f64 #s(literal 1 binary64) (.f64 x z)))
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(approx (+ ( (* x x) 1/720) 1/24) (.f64 x (.f64 x #s(literal 1/720 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) (.f64 (.f64 x x) #s(literal 1/720 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 y (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))) y) x) z))
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.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))) #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 x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.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 #s(literal 1 binary64) x)) z))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) y) (*.f64 y #s(literal 1/2 binary64))) y) x) z))
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 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 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
#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 (.f64 (.f64 (.f64 x x) (.f64 x 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 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)
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.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) #s(literal -1 binary64)) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) z)))
(/.f64 #s(approx (* y (/ (cosh x) z)) (fma.f64 (.f64 x 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)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 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 (.f64 (fma.f64 (.f64 y (.f64 x x)) (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) (fma.f64 (.f64 y (.f64 x x)) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (neg.f64 y))) (.f64 (.f64 x z) (fma.f64 (.f64 y (.f64 x x)) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (neg.f64 y)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (.f64 (.f64 y x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (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)))) #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))) y) (*.f64 x z)))
(.f64 y (/.f64 (cosh.f64 x) (.f64 x z)))
(.f64 (/.f64 y (.f64 x z)) (cosh.f64 x))
(.f64 (/.f64 (cosh.f64 x) (.f64 x z)) y)
(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 (.f64 x 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))) (/.f64 #s(literal 1 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))) #s(literal 1 binary64))) (/.f64 y x)) z)
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x))
(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)

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

Calls

2 calls:

21.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
20.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))

Results

Accuracy	Segments	Branch
99.8%	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)

regimes272.0ms (1.9%)

Memory

-1.4MiB live, 155.2MiB 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 (* y (/ (cosh x) z)) (/.f64 y z)) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#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) x) z) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 (/.f64 y z) (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x))
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x)
(.f64 (/.f64 #s(approx (cosh x) #s(approx (+ ( x (* x 1/2)) 1) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) (*.f64 x z)) y)
(/.f64 (.f64 y #s(approx (cosh x) #s(approx (+ ( x (* x 1/2)) 1) (.f64 #s(literal 1/2 binary64) (.f64 x x))))) (*.f64 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 #s(literal 1/2 binary64) y))) y) (.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 (/.f64 y (.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y)
(/.f64 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x z))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 #s(literal 1 binary64) (/.f64 z y))) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z)
(.f64 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x z)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) y)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 #s(approx (cosh x) #s(approx (+ ( 1/2 (* x x)) 1) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) (/.f64 y x)) z)
(.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x))
(.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) x) y)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 x x)) 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(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) #s(approx (/ (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 #s(literal 1/720 binary64) (.f64 y (.f64 (.f64 (.f64 x x) (.f64 x x)) 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 x (.f64 x (.f64 y (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 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 (.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 #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 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 #s(literal 1/720 binary64) (.f64 y (.f64 (.f64 (.f64 x x) (.f64 x x)) x)))) y) (*.f64 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 y (.f64 x (.f64 (.f64 x (.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 #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 (.f64 x x) (.f64 (.f64 y (.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 #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 (.f64 y (.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x x)))) x))) y) (.f64 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 (.f64 y x) #s(literal 1/720 binary64)) (.f64 x (.f64 x x))))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 x x) #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 y (.f64 x (.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x x)))))) y) (.f64 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 y (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #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 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) (.f64 x (.f64 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 (.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 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (fma.f64 y (.f64 x (.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)))) 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)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.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))) y y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 (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 y x)) x y) (*.f64 x z)))
(.f64 (/.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 x z)) y)
(/.f64 (.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)))) (*.f64 x z))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 y (.f64 x (.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x x)))))) y) z) x))
(.f64 (.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)))) (/.f64 #s(literal 1 binary64) (.f64 x z)))
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(approx (+ ( (* x x) 1/720) 1/24) (.f64 x (.f64 x #s(literal 1/720 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) (.f64 (.f64 x x) #s(literal 1/720 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 y (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))) y) x) z))
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.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))) #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 x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.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 #s(literal 1 binary64) x)) z))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) y) (*.f64 y #s(literal 1/2 binary64))) y) x) z))
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 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 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
#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 (.f64 (.f64 (.f64 x x) (.f64 x 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 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)
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.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) #s(literal -1 binary64)) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) z)))
(/.f64 #s(approx (* y (/ (cosh x) z)) (fma.f64 (.f64 x 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)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 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 (.f64 (fma.f64 (.f64 y (.f64 x x)) (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) (fma.f64 (.f64 y (.f64 x x)) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (neg.f64 y))) (.f64 (.f64 x z) (fma.f64 (.f64 y (.f64 x x)) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (neg.f64 y)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (.f64 (.f64 y x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (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)))) #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))) y) (*.f64 x z)))
(.f64 y (/.f64 (cosh.f64 x) (.f64 x z)))
(.f64 (/.f64 y (.f64 x z)) (cosh.f64 x))
(.f64 (/.f64 (cosh.f64 x) (.f64 x z)) y)
(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 (.f64 x 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))) (/.f64 #s(literal 1 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))) #s(literal 1 binary64))) (/.f64 y x)) z)
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x))

Outputs

(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 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)))))) z)

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

Calls

5 calls:

67.0ms	y
62.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
59.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
59.0ms	x
21.0ms	z

Results

Accuracy	Segments	Branch
97.5%	3	`x`
96.4%	2	`y`
94.8%	2	`z`
96.3%	3	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
96.3%	3	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes85.0ms (0.6%)

Memory

22.8MiB live, 61.4MiB 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 (* y (/ (cosh x) z)) (/.f64 y z)) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#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) x) z) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 (/.f64 y z) (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x))
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x)
(.f64 (/.f64 #s(approx (cosh x) #s(approx (+ ( x (* x 1/2)) 1) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) (*.f64 x z)) y)
(/.f64 (.f64 y #s(approx (cosh x) #s(approx (+ ( x (* x 1/2)) 1) (.f64 #s(literal 1/2 binary64) (.f64 x x))))) (*.f64 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 #s(literal 1/2 binary64) y))) y) (.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 (/.f64 y (.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y)
(/.f64 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x z))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 #s(literal 1 binary64) (/.f64 z y))) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z)
(.f64 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x z)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) y)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 #s(approx (cosh x) #s(approx (+ ( 1/2 (* x x)) 1) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) (/.f64 y x)) z)
(.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x))
(.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) x) y)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 x x)) 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(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) #s(approx (/ (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 #s(literal 1/720 binary64) (.f64 y (.f64 (.f64 (.f64 x x) (.f64 x x)) 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 x (.f64 x (.f64 y (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 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 (.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 #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 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 #s(literal 1/720 binary64) (.f64 y (.f64 (.f64 (.f64 x x) (.f64 x x)) x)))) y) (*.f64 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 y (.f64 x (.f64 (.f64 x (.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 #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 (.f64 x x) (.f64 (.f64 y (.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 #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 (.f64 y (.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x x)))) x))) y) (.f64 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 (.f64 y x) #s(literal 1/720 binary64)) (.f64 x (.f64 x x))))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 x x) #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 y (.f64 x (.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x x)))))) y) (.f64 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 y (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #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 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) (.f64 x (.f64 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 (.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 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (fma.f64 y (.f64 x (.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)))) 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)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.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))) y y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 (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 y x)) x y) (*.f64 x z)))
(.f64 (/.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 x z)) y)
(/.f64 (.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)))) (*.f64 x z))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 y (.f64 x (.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x x)))))) y) z) x))
(.f64 (.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)))) (/.f64 #s(literal 1 binary64) (.f64 x z)))
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(approx (+ ( (* x x) 1/720) 1/24) (.f64 x (.f64 x #s(literal 1/720 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) (.f64 (.f64 x x) #s(literal 1/720 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 y (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))) y) x) z))
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.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))) #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 x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.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 #s(literal 1 binary64) x)) z))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) y) (*.f64 y #s(literal 1/2 binary64))) y) x) z))
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 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 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
#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 (.f64 (.f64 (.f64 x x) (.f64 x 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 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)
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.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) #s(literal -1 binary64)) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) z)))
(/.f64 #s(approx (* y (/ (cosh x) z)) (fma.f64 (.f64 x 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)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 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 (.f64 (fma.f64 (.f64 y (.f64 x x)) (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) (fma.f64 (.f64 y (.f64 x x)) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (neg.f64 y))) (.f64 (.f64 x z) (fma.f64 (.f64 y (.f64 x x)) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (neg.f64 y)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (.f64 (.f64 y x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (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)))) #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))) y) (*.f64 x z)))
(.f64 y (/.f64 (cosh.f64 x) (.f64 x z)))
(.f64 (/.f64 y (.f64 x z)) (cosh.f64 x))
(.f64 (/.f64 (cosh.f64 x) (.f64 x z)) y)
(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 (.f64 x 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))) (/.f64 #s(literal 1 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))) #s(literal 1 binary64))) (/.f64 y x)) z)

Outputs

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

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

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

Calls

2 calls:

61.0ms	y
20.0ms	x

Results

Accuracy	Segments	Branch
97.5%	3	`x`
93.8%	2	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes147.0ms (1%)

Memory

-7.5MiB live, 73.7MiB allocated

Counts

69 → 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 (* y (/ (cosh x) z)) (/.f64 y z)) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#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) x) z) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 (/.f64 y z) (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x))
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x)
(.f64 (/.f64 #s(approx (cosh x) #s(approx (+ ( x (* x 1/2)) 1) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) (*.f64 x z)) y)
(/.f64 (.f64 y #s(approx (cosh x) #s(approx (+ ( x (* x 1/2)) 1) (.f64 #s(literal 1/2 binary64) (.f64 x x))))) (*.f64 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 #s(literal 1/2 binary64) y))) y) (.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 (/.f64 y (.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y)
(/.f64 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x z))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 #s(literal 1 binary64) (/.f64 z y))) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z)
(.f64 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x z)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) y)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 #s(approx (cosh x) #s(approx (+ ( 1/2 (* x x)) 1) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) (/.f64 y x)) z)
(.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x))
(.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) x) y)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 x x)) 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(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) #s(approx (/ (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 #s(literal 1/720 binary64) (.f64 y (.f64 (.f64 (.f64 x x) (.f64 x x)) 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 x (.f64 x (.f64 y (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 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 (.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 #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 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 #s(literal 1/720 binary64) (.f64 y (.f64 (.f64 (.f64 x x) (.f64 x x)) x)))) y) (*.f64 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 y (.f64 x (.f64 (.f64 x (.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 #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 (.f64 x x) (.f64 (.f64 y (.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 #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 (.f64 y (.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x x)))) x))) y) (.f64 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 (.f64 y x) #s(literal 1/720 binary64)) (.f64 x (.f64 x x))))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 x x) #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 y (.f64 x (.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x x)))))) y) (.f64 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 y (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #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 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) (.f64 x (.f64 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 (.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 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (fma.f64 y (.f64 x (.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)))) 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)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.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))) y y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 (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 y x)) x y) (*.f64 x z)))
(.f64 (/.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 x z)) y)
(/.f64 (.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)))) (*.f64 x z))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 y (.f64 x (.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x x)))))) y) z) x))
(.f64 (.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)))) (/.f64 #s(literal 1 binary64) (.f64 x z)))
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(approx (+ ( (* x x) 1/720) 1/24) (.f64 x (.f64 x #s(literal 1/720 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) (.f64 (.f64 x x) #s(literal 1/720 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 y (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))) y) x) z))
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.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))) #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 x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.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 #s(literal 1 binary64) x)) z))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) y) (*.f64 y #s(literal 1/2 binary64))) y) x) z))
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 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 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
#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 (.f64 (.f64 (.f64 x x) (.f64 x 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 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)
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.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) #s(literal -1 binary64)) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) z)))
(/.f64 #s(approx (* y (/ (cosh x) z)) (fma.f64 (.f64 x 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)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 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 (.f64 (fma.f64 (.f64 y (.f64 x x)) (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) (fma.f64 (.f64 y (.f64 x x)) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (neg.f64 y))) (.f64 (.f64 x z) (fma.f64 (.f64 y (.f64 x x)) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (neg.f64 y)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (.f64 (.f64 y x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (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)))) #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))) y) (*.f64 x z)))

Outputs

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

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

Calls

4 calls:

61.0ms	x
47.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
19.0ms	z
17.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
93.9%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
93.9%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
91.1%	1	`z`
91.1%	1	`x`

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes65.0ms (0.5%)

Memory

7.8MiB live, 45.5MiB allocated

Counts

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

Outputs

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

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

Calls

2 calls:

48.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
14.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
93.9%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
93.9%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes114.0ms (0.8%)

Memory

-11.5MiB live, 68.1MiB 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 (* y (/ (cosh x) z)) (/.f64 y z)) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#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) x) z) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 (/.f64 y z) (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x))
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x)
(.f64 (/.f64 #s(approx (cosh x) #s(approx (+ ( x (* x 1/2)) 1) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) (*.f64 x z)) y)
(/.f64 (.f64 y #s(approx (cosh x) #s(approx (+ ( x (* x 1/2)) 1) (.f64 #s(literal 1/2 binary64) (.f64 x x))))) (*.f64 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 #s(literal 1/2 binary64) y))) y) (.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 (/.f64 y (.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y)
(/.f64 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x z))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 #s(literal 1 binary64) (/.f64 z y))) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z)
(.f64 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x z)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) y)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 #s(approx (cosh x) #s(approx (+ ( 1/2 (* x x)) 1) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) (/.f64 y x)) z)
(.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x))
(.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) x) y)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 x x)) 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(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) #s(approx (/ (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 #s(literal 1/720 binary64) (.f64 y (.f64 (.f64 (.f64 x x) (.f64 x x)) 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 x (.f64 x (.f64 y (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 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 (.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 #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 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 #s(literal 1/720 binary64) (.f64 y (.f64 (.f64 (.f64 x x) (.f64 x x)) x)))) y) (*.f64 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 y (.f64 x (.f64 (.f64 x (.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 #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 (.f64 x x) (.f64 (.f64 y (.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 #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 (.f64 y (.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x x)))) x))) y) (.f64 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 (.f64 y x) #s(literal 1/720 binary64)) (.f64 x (.f64 x x))))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 x x) #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 y (.f64 x (.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x x)))))) y) (.f64 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 y (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #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 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) (.f64 x (.f64 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 (.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 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (fma.f64 y (.f64 x (.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)))) 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)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.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))) y y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 (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 y x)) x y) (*.f64 x z)))
(.f64 (/.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 x z)) y)
(/.f64 (.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)))) (*.f64 x z))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 y (.f64 x (.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x x)))))) y) z) x))
(.f64 (.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)))) (/.f64 #s(literal 1 binary64) (.f64 x z)))
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(approx (+ ( (* x x) 1/720) 1/24) (.f64 x (.f64 x #s(literal 1/720 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) (.f64 (.f64 x x) #s(literal 1/720 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)

Outputs

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

Calls

3 calls:

50.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
46.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
16.0ms	y

Results

Accuracy	Segments	Branch
90.9%	1	`y`
93.8%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
93.8%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes59.0ms (0.4%)

Memory

5.1MiB live, 42.6MiB allocated

Counts

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

Outputs

(/.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)

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

Calls

2 calls:

43.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
13.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
93.4%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
93.4%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes147.0ms (1%)

Memory

-10.7MiB live, 112.5MiB allocated

Counts

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

Calls

5 calls:

50.0ms	z
47.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
20.0ms	x
15.0ms	y
13.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
86.2%	2	`y`
90.6%	2	`x`
86.9%	3	`z`
87.3%	3	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
87.3%	3	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes65.0ms (0.5%)

Memory

13.9MiB live, 125.0MiB allocated

Counts

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

Outputs

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

Calls

5 calls:

23.0ms	y
12.0ms	z
10.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
9.0ms	x
9.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))

Results

Accuracy	Segments	Branch
84.9%	2	`z`
85.3%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
85.3%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
82.6%	1	`y`
82.6%	1	`x`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes22.0ms (0.2%)

Memory

7.7MiB live, 51.6MiB allocated

Counts

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

Outputs

(/.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)

Calls

2 calls:

12.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
8.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
85.3%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
85.3%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes49.0ms (0.3%)

Memory

-0.2MiB live, 115.2MiB allocated

Counts

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

Outputs

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
81.9%	2	`x`
81.7%	2	`y`
81.6%	2	`z`
83.9%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
83.9%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes70.0ms (0.5%)

Memory

-23.3MiB live, 95.5MiB allocated

Counts

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

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

Calls

5 calls:

33.0ms	z
10.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
10.0ms	x
8.0ms	y
7.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
74.3%	2	`z`
76.0%	2	`y`
76.1%	2	`x`
74.5%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
74.5%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes42.0ms (0.3%)

Memory

-6.1MiB live, 74.5MiB allocated

Counts

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

Outputs

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

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

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

Calls

5 calls:

8.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
7.0ms	y
7.0ms	z
7.0ms	x
7.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
70.2%	2	`z`
71.5%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
71.5%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
70.2%	2	`y`
75.3%	3	`x`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes15.0ms (0.1%)

Memory

28.6MiB live, 28.6MiB allocated

Counts

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

Calls

2 calls:

7.0ms	x
7.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))

Results

Accuracy	Segments	Branch
71.5%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
70.0%	2	`x`

Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes23.0ms (0.2%)

Memory

-8.0MiB live, 30.4MiB allocated

Counts

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

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

Calls

2 calls:

17.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
6.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
71.3%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
71.3%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes52.0ms (0.4%)

Memory

-8.7MiB live, 30.4MiB allocated

Counts

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

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

Calls

2 calls:

46.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
5.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))

Results

Accuracy	Segments	Branch
70.9%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
70.9%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes25.0ms (0.2%)

Memory

22.2MiB live, 59.1MiB allocated

Counts

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

Outputs

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

Calls

5 calls:

7.0ms	y
5.0ms	x
5.0ms	z
4.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
4.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
68.6%	2	`x`
65.8%	1	`z`
69.3%	2	`y`
69.8%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
69.8%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes22.0ms (0.2%)

Memory

-17.2MiB live, 37.2MiB allocated

Counts

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

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

Calls

4 calls:

8.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
4.0ms	y
4.0ms	x
4.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))

Results

Accuracy	Segments	Branch
68.6%	2	`x`
58.8%	3	`y`
59.1%	3	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
58.7%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes20.0ms (0.1%)

Memory

5.1MiB live, 43.9MiB 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 (* y (/ (cosh x) z)) (/.f64 y z)) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#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) x) z) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 (/.f64 y z) (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x))
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x)

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

Calls

5 calls:

5.0ms	z
4.0ms	y
4.0ms	x
4.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
3.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
56.9%	2	`y`
56.9%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
56.9%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
56.8%	2	`z`
54.2%	1	`x`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes7.0ms (0.1%)

Memory

-24.2MiB live, 14.7MiB 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 (* y (/ (cosh x) z)) (/.f64 y z)) x)

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

Calls

3 calls:

3.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
2.0ms	y
2.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))

Results

Accuracy	Segments	Branch
56.9%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
54.2%	1	`y`
54.2%	1	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

22.4MiB live, 22.4MiB allocated

Accuracy

Total -0.6b remaining (-2%)

Threshold costs -0.6b (-2%)

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:

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

Results

Accuracy	Segments	Branch
48.6%	1	`y`
48.6%	1	`x`
48.6%	1	`(*.f64 (cosh.f64 x) (/.f64 y x))`
48.6%	1	`z`
48.6%	1	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`

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	1.703043666101309e+268	2.4120879840297226e+269

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	6.631667267400283e+221	3.211200072695938e+222

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch13.0ms (0.1%)

Memory

-10.9MiB live, 27.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.4766834410768332e-93	2.5413762149877692e-92

Samples

6.0ms

112×

valid

Compiler

Compiled 301 to 188 computations (37.5% saved)

Precisions

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

ival-div: 1.0ms (29.8% of total)

ival-mult: 1.0ms (29.8% of total)

ival-cosh: 1.0ms (29.8% of total)

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

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

bsearch19.0ms (0.1%)

Memory

-5.4MiB live, 35.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	5.016864006322344e+56	7.220723425204142e+56
8.0ms	2.7996951183399477e-148	2.3928225764129295e-147

Samples

8.0ms

160×

valid

Compiler

Compiled 278 to 173 computations (37.8% saved)

Precisions

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

ival-div: 2.0ms (41.3% of total)

ival-cosh: 2.0ms (41.3% of total)

ival-mult: 1.0ms (20.6% of total)

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

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

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.703043666101309e+268	2.4120879840297226e+269

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.703043666101309e+268	2.4120879840297226e+269

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.703043666101309e+268	2.4120879840297226e+269

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.396396177823807e+263	1.703043666101309e+268

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch11.0ms (0.1%)

Memory

19.8MiB live, 19.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.7636787698942414	9.30310386772341

Samples

6.0ms

96×

valid

Compiler

Compiled 242 to 145 computations (40.1% saved)

Precisions

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

ival-cosh: 2.0ms (50.5% of total)

ival-div: 1.0ms (25.3% of total)

ival-mult: 1.0ms (25.3% of total)

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

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

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.703043666101309e+268	2.4120879840297226e+269

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	1.703043666101309e+268	2.4120879840297226e+269

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	6.878272426650089e+111	2.3462588904883812e+117

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch10.0ms (0.1%)

Memory

-19.4MiB live, 17.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.1991434056399846e-69	4.301727697571488e-69

Samples

6.0ms

80×

valid

Compiler

Compiled 149 to 98 computations (34.2% saved)

Precisions

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

ival-cosh: 3.0ms (66.1% of total)

ival-div: 1.0ms (22% of total)

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

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

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

bsearch9.0ms (0.1%)

Memory

18.8MiB live, 18.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	5.314636847746185e+93	1.080451490711535e+94
0.0ms	2.7996951183399477e-148	2.3928225764129295e-147

Samples

4.0ms

80×

valid

Compiler

Compiled 346 to 220 computations (36.4% saved)

Precisions

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

ival-div: 1.0ms (40.3% of total)

ival-cosh: 1.0ms (40.3% of total)

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

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

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

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4874253729812303e+175	5.601382994960505e+177

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	1.4874253729812303e+175	5.601382994960505e+177

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	1.4874253729812303e+175	5.601382994960505e+177

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4874253729812303e+175	5.601382994960505e+177

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch9.0ms (0.1%)

Memory

-15.1MiB live, 24.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.7636787698942414	9.30310386772341

Samples

6.0ms

80×

valid

Compiler

Compiled 176 to 109 computations (38.1% saved)

Precisions

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

ival-cosh: 2.0ms (54.4% of total)

ival-div: 1.0ms (27.2% of total)

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

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

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

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.863548043973731e+93	1.7981347995636808e+94

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	2.9812710379344438e-117	1.5599754365979918e-114

Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify17.0ms (0.1%)

Memory

4.9MiB live, 43.8MiB allocated

Algorithm

1×	egg-herbie

Rules

74×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	197	1016
1	237	1016

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 19999999999999999468764497083204546117550371222456475011874251839742919280488893133880888089537373780302983352459926183803316491680462938820366994786182709264962452269186282141480785836231386584392976978150860083957810243755889397927408415870663269868469457841301749760 binary64)) (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 1000000000000000046601807174820697568405085809949376861420980458018682781323086299572767712214195712321033976595985489865317261666006898091360622097492643440587430127367316221899487205895055238326459735771560242784354959360 binary64)) (.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x)) (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x))
(if (<=.f64 y #s(literal 7339195571168229/293567822846729153486185074598667128421960318613539983838411371441526128139326055432962374798096087878991872 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 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)))))) z) (*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x)))
(if (<=.f64 x #s(literal 6478435864142203/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552 binary64)) (/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) (if (<=.f64 x #s(literal 719999999999999996480212513224125996905928507926798925824 binary64)) (.f64 y (/.f64 (cosh.f64 x) (.f64 x z))) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 #s(literal 1/720 binary64) (.f64 y (.f64 (.f64 (.f64 x x) (.f64 x x)) x))) z)))))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 19999999999999999468764497083204546117550371222456475011874251839742919280488893133880888089537373780302983352459926183803316491680462938820366994786182709264962452269186282141480785836231386584392976978150860083957810243755889397927408415870663269868469457841301749760 binary64)) #s(approx (/ ( (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 y (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))) y) x) z)) (/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.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))) #s(literal 1 binary64))) z)) x))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 19999999999999999468764497083204546117550371222456475011874251839742919280488893133880888089537373780302983352459926183803316491680462938820366994786182709264962452269186282141480785836231386584392976978150860083957810243755889397927408415870663269868469457841301749760 binary64)) #s(approx (/ ( (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 y (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))) y) x) z)) (/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(approx (+ ( (* x x) 1/720) 1/24) (.f64 x (.f64 x #s(literal 1/720 binary64))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 19999999999999999468764497083204546117550371222456475011874251839742919280488893133880888089537373780302983352459926183803316491680462938820366994786182709264962452269186282141480785836231386584392976978150860083957810243755889397927408415870663269868469457841301749760 binary64)) (/.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 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(approx (+ ( (* x x) 1/720) 1/24) (.f64 x (.f64 x #s(literal 1/720 binary64))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 1000000000000000044140518902895287779286391397382581274563006173283444396083023609274483667691850832398819698877547611031397112968428705874685599733334034192471780653571870045215197739635249206690814463183771858052833032509915549602573975010166573043840478561173504 binary64)) (/.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) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 y (.f64 x (.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x x)))))) y) z) x)))
(if (<=.f64 x #s(literal 5 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) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 #s(literal 1/720 binary64) (.f64 y (.f64 (.f64 (.f64 x x) (.f64 x x)) x))) z))))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 19999999999999999468764497083204546117550371222456475011874251839742919280488893133880888089537373780302983352459926183803316491680462938820366994786182709264962452269186282141480785836231386584392976978150860083957810243755889397927408415870663269868469457841301749760 binary64)) (/.f64 (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 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))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 19999999999999999468764497083204546117550371222456475011874251839742919280488893133880888089537373780302983352459926183803316491680462938820366994786182709264962452269186282141480785836231386584392976978150860083957810243755889397927408415870663269868469457841301749760 binary64)) (/.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))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 9999999999999999301199346926304397284673331501389768492615896861647229832830913903761963586894254467577228034048 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) (.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) x) y))
(if (<=.f64 x #s(literal 3593937450617599/971334446112864535459730953411759453321203419526069760625906204869452142602604249088 binary64)) (/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) (.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x)))
(if (<=.f64 x #s(literal 6478435864142203/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552 binary64)) (/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) (if (<=.f64 x #s(literal 5500000000000000296471177979063621114882105791579620141489748174168924490622038114133845475328 binary64)) (.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 x z)) y) (/.f64 (.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) (/.f64 y x)) z)))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 19999999999999998743069049246737528200546615119793746550412501356903849205370206764075153567638181693469097644589800066324224103680915737659228242480356123926769783926845079552 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) (.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 x z)) y))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 19999999999999998743069049246737528200546615119793746550412501356903849205370206764075153567638181693469097644589800066324224103680915737659228242480356123926769783926845079552 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) (/.f64 y x)) z) (.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 19999999999999998743069049246737528200546615119793746550412501356903849205370206764075153567638181693469097644589800066324224103680915737659228242480356123926769783926845079552 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) (/.f64 y 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))))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 19999999999999998743069049246737528200546615119793746550412501356903849205370206764075153567638181693469097644589800066324224103680915737659228242480356123926769783926845079552 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) (/.f64 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 #s(literal 1/2 binary64) y))) y) (.f64 x z))))
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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 3152519739159347/2251799813685248 binary64)) (/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) (.f64 (/.f64 #s(approx (cosh x) #s(approx (+ ( x (* x 1/2)) 1) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) (*.f64 x z)) y))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) (.f64 y (/.f64 #s(approx (cosh x) #s(approx (+ ( x (* x 1/2)) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x z))))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 10000000000000000202188791271559469885760963232143577411377768562080040049981643093586978275328 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) (/.f64 y x)) z) (/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x))
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 3549017208474643/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944 binary64)) #s(approx (/ ( (cosh x) (/ y x)) z) (/.f64 y (.f64 x z))) (/.f64 #s(approx ( y (/ (cosh x) z)) (/.f64 y z)) x))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))

soundness2.4s (17.1%)

Memory

-5.4MiB live, 1 954.7MiB allocated

Rules

22 056×	`lower-fma.f64`
22 056×	`lower-fma.f32`
15 916×	`lower-fma.f64`
15 916×	`lower-fma.f32`
15 684×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	208
0	58	208
1	222	208
2	1516	208
0	8508	208
0	196	6676
1	630	6556
2	2014	6406
3	5405	6366
0	8259	6100
0	214	7638
1	694	7518
2	2167	7346
3	5005	7288
0	8457	6995
0	56	441
0	95	419
1	361	419
2	2051	407
0	8393	407
0	7	19
0	11	19
1	36	19
2	208	19
3	2161	19
0	8571	19
0	49	398
0	87	398
1	351	394
2	2138	394
0	8317	394
0	205	8976
1	679	8746
2	2188	8526
3	5294	8442
0	8201	7971
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×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 1 876 to 782 computations (58.3% saved)

preprocess320.0ms (2.3%)

Memory: -7.7MiB live, 469.6MiB allocated
Remove: (negabs z)
Compiler: Compiled 1 826 to 478 computations (73.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated