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

analyze83.0ms (0.6%)

Memory

3.0MiB live, 122.4MiB 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)

sample851.0ms (5.9%)

Memory

13.7MiB live, 671.8MiB allocated

Samples

597.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 347.0ms

ival-div: 149.0ms (42.9% of total)

ival-cosh: 136.0ms (39.2% of total)

ival-mult: 53.0ms (15.3% of total)

ival-true: 6.0ms (1.7% of total)

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

Bogosity

preprocess209.0ms (1.4%)

Memory

13.5MiB live, 130.4MiB 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)

explain379.0ms (2.6%)

Memory

15.3MiB live, 91.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
34	-	-	`(*.f64 (cosh.f64 x) (/.f64 y x))`
13	-	-	`(/.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**	34	0
↳	`(cosh.f64 x)`	overflow	135
↳	`(/.f64 y x)`	underflow	34
`/.f64`	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`	o/n	13	0
↳	`(cosh.f64 x)`	overflow	135
↳	`(/.f64 y x)`	overflow	35
↳	`(*.f64 (cosh.f64 x) (/.f64 y x))`	overflow	170

Confusion

	Predicted +	Predicted -
+	47	0
-	0	209

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	47	0	0
-	0	0	209

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	209
1	47

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

104.0ms

512×

valid

Compiler

Compiled 70 to 32 computations (54.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-cosh: 79.0ms (88.4% of total)

ival-div: 7.0ms (7.8% of total)

ival-mult: 3.0ms (3.4% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.8%	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify109.0ms (0.8%)

Memory

-52.6MiB live, 53.7MiB 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

localize22.0ms (0.2%)

Memory

29.1MiB live, 29.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(cosh.f64 x)
✓	accuracy	95.1%	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
✓	accuracy	89.4%	(*.f64 (cosh.f64 x) (/.f64 y x))

Samples

15.0ms

256×

valid

Compiler

Compiled 24 to 9 computations (62.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 3.0ms (38.4% of total)

ival-cosh: 3.0ms (38.4% of total)

ival-mult: 1.0ms (12.8% of total)

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

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

series33.0ms (0.2%)

Memory

-20.0MiB live, 18.7MiB 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
18.0ms	y	@	inf	(/ (* (cosh x) (/ y x)) z)
3.0ms	x	@	-inf	(/ (* (cosh x) (/ y x)) z)
2.0ms	y	@	-inf	(/ (* (cosh x) (/ y x)) z)
2.0ms	x	@	inf	(/ (* (cosh x) (/ y x)) z)
2.0ms	y	@	0	(/ (* (cosh x) (/ y x)) z)

simplify447.0ms (3.1%)

Memory

36.6MiB live, 701.7MiB 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)

rewrite216.0ms (1.5%)

Memory

-18.0MiB live, 336.9MiB 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))

eval48.0ms (0.3%)

Memory: 23.9MiB live, 135.5MiB allocated
Compiler: Compiled 6 624 to 1 065 computations (83.9% saved)

prune129.0ms (0.9%)

Memory

-32.4MiB live, 192.8MiB 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
▶	81.6%	(/.f64 (/.f64 (cosh.f64 x) z) (/.f64 x y))
	72.6%	(/.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) y) z))
	71.7%	(/.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)
	75.8%	(/.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)
▶	65.2%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
▶	96.0%	(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)
	75.8%	(/.f64 (cosh.f64 x) (/.f64 (*.f64 x z) y))
	60.0%	(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z)
	82.0%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z)
	44.1%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
	95.8%	(.f64 (pow.f64 (/.f64 (neg.f64 z) (.f64 (cosh.f64 x) y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
	82.1%	(.f64 y (/.f64 (cosh.f64 x) (.f64 x z)))
	65.1%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x x)) y) (*.f64 x z)))
▶	75.4%	#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)))
	69.8%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (.f64 x z)))
▶	46.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))

Compiler

Compiled 488 to 304 computations (37.7% saved)

simplify471.0ms (3.3%)

Memory

0.2MiB live, 592.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(cosh.f64 x)
✓	cost-diff	0	(/.f64 (cosh.f64 x) z)
✓	cost-diff	768	(/.f64 (/.f64 (cosh.f64 x) z) (/.f64 x y))
✓	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

12 412×	`lower-fma.f32`
12 404×	`lower-fma.f64`
5 118×	`lower-*.f32`
5 106×	`lower-*.f64`
2 364×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	250
0	56	250
1	115	250
2	278	250
3	758	250
4	1638	250
5	1846	250
6	2310	250
7	3184	250
8	4501	250
9	5571	250
10	5592	250
11	5601	250
12	5605	250
13	6887	250
14	7051	250
15	7883	250
0	8249	250

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

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

localize111.0ms (0.8%)

Memory

12.3MiB live, 250.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(cosh.f64 x)
✓	accuracy	100.0%	(/.f64 (cosh.f64 x) z)
✓	accuracy	84.4%	(/.f64 (/.f64 (cosh.f64 x) z) (/.f64 x y))
✓	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	88.1%	#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	82.3%	(/.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	95.1%	(/.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	89.4%	(.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y x))
✓	accuracy	74.6%	#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	93.6%	(/.f64 y (*.f64 x z))
✓	accuracy	49.1%	#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	99.9%	(*.f64 y (/.f64 (cosh.f64 x) z))
✓	accuracy	96.0%	(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)

Samples

68.0ms

256×

valid

Compiler

Compiled 216 to 32 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 18.0ms (38.2% of total)

ival-div: 13.0ms (27.6% of total)

ival-add: 6.0ms (12.7% of total)

const: 6.0ms (12.7% of total)

ival-cosh: 4.0ms (8.5% of total)

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

exact: 0.0ms (0% of total)

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

series117.0ms (0.8%)

Memory

-12.9MiB live, 62.2MiB allocated

Counts

20 → 516

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

129 calls:

Time	Variable		Point	Expression
54.0ms	x	@	inf	(/ (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (* x z))
3.0ms	y	@	inf	(/ 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))
1.0ms	y	@	inf	(/ (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (* x z))

simplify434.0ms (3%)

Memory

14.8MiB live, 730.4MiB allocated

Algorithm

1×	egg-herbie

Rules

14 614×	`lower-fma.f64`
14 614×	`lower-fma.f32`
5 676×	`lower-*.f64`
5 676×	`lower-*.f32`
2 650×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	191	6548
1	624	6428
2	2014	6278
3	5398	6238
0	8253	5978

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 515

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

rewrite379.0ms (2.6%)

Memory

11.0MiB live, 849.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 688×	`lower-fma.f32`
5 680×	`lower-fma.f64`
4 924×	`lower-*.f32`
4 912×	`lower-*.f64`
3 840×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	204
0	56	204
1	217	204
2	1499	204
0	8516	204

Stop Event

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

Counts

20 → 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 (cosh.f64 x) z) (/.f64 x y))
(/.f64 x y)
(*.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 x (/.f64 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 x)) (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) (/.f64 x (neg.f64 y))) (neg.f64 (/.f64 (.f64 y (cosh.f64 x)) (.f64 x z))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (.f64 x (neg.f64 z)) y)) (/.f64 (cosh.f64 x) (/.f64 (.f64 x (neg.f64 z)) y)))
(neg.f64 (neg.f64 (/.f64 (.f64 y (cosh.f64 x)) (.f64 x z))))
(neg.f64 (/.f64 (cosh.f64 x) (/.f64 (*.f64 x (neg.f64 z)) y)))
(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 (cosh.f64 x) (/.f64 y (.f64 x (neg.f64 z)))))
(neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (.f64 y (cosh.f64 x)) (*.f64 x z)))))
(neg.f64 (*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) (neg.f64 z))))
(neg.f64 (.f64 (neg.f64 (/.f64 (cosh.f64 x) (.f64 x z))) y))
(neg.f64 (/.f64 (/.f64 y (neg.f64 x)) (/.f64 z (cosh.f64 x))))
(neg.f64 (/.f64 (neg.f64 (cosh.f64 x)) (/.f64 (*.f64 x z) y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (.f64 x (/.f64 z (.f64 y (cosh.f64 x))))))
(neg.f64 (/.f64 (.f64 (cosh.f64 x) (neg.f64 y)) (.f64 x z)))
(/.f64 y (*.f64 (/.f64 z (cosh.f64 x)) x))
(/.f64 y (*.f64 x (/.f64 z (cosh.f64 x))))
(/.f64 y (neg.f64 (*.f64 (/.f64 z (cosh.f64 x)) (neg.f64 x))))
(/.f64 (cosh.f64 x) (/.f64 (*.f64 x z) y))
(/.f64 (/.f64 (cosh.f64 x) z) (/.f64 x y))
(/.f64 (*.f64 (/.f64 y z) (cosh.f64 x)) x)
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(/.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (.f64 x (/.f64 z (.f64 y (cosh.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 x z) y) #s(literal 2 binary64)) (*.f64 #s(literal 2 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 1 binary64) y) (/.f64 (cosh.f64 x) (*.f64 x z))))
(/.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 (.f64 #s(literal 2 binary64) (.f64 x (neg.f64 z))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (neg.f64 z)) (.f64 (cosh.f64 x) (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 z (cosh.f64 x)) x) y))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 z (cosh.f64 x)) (neg.f64 x)) (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x z) (.f64 (neg.f64 (cosh.f64 x)) (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y (*.f64 x z)))))
(/.f64 (/.f64 y x) (/.f64 z (cosh.f64 x)))
(/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (/.f64 (*.f64 x z) y)))
(/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (/.f64 (*.f64 x z) y) #s(literal 2 binary64)))
(/.f64 (/.f64 (cosh.f64 x) (neg.f64 z)) (/.f64 x (neg.f64 y)))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y (neg.f64 x))) (neg.f64 z))
(/.f64 (neg.f64 (cosh.f64 x)) (/.f64 (*.f64 x (neg.f64 z)) y))
(/.f64 (neg.f64 y) (*.f64 (/.f64 z (cosh.f64 x)) (neg.f64 x)))
(/.f64 (*.f64 (/.f64 (cosh.f64 x) z) (neg.f64 y)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 y (cosh.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (*.f64 y (cosh.f64 x))))
(/.f64 (.f64 y (cosh.f64 x)) (.f64 x z))
(/.f64 (/.f64 (cosh.f64 x) (*.f64 x z)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) (/.f64 z (.f64 y (cosh.f64 x)))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (.f64 #s(literal 2 binary64) (.f64 x z)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y x)) (*.f64 #s(literal 2 binary64) z))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 y)) (.f64 #s(literal 2 binary64) (.f64 x (neg.f64 z))))
(/.f64 (.f64 (neg.f64 (cosh.f64 x)) (neg.f64 y)) (.f64 x z))
(/.f64 (/.f64 y (neg.f64 x)) (/.f64 (neg.f64 z) (cosh.f64 x)))
(/.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) (neg.f64 (.f64 (/.f64 (*.f64 x z) y) #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) (neg.f64 (.f64 #s(literal 2 binary64) (/.f64 (*.f64 x z) y))))
(/.f64 (.f64 (cosh.f64 x) (neg.f64 y)) (.f64 x (neg.f64 z)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y (*.f64 x z))) #s(literal 2 binary64))
(/.f64 (neg.f64 (/.f64 (cosh.f64 x) (*.f64 x z))) (/.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y x))) (neg.f64 (*.f64 #s(literal 2 binary64) z)))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 y))) (neg.f64 (.f64 #s(literal 2 binary64) (.f64 x (neg.f64 z)))))
(/.f64 (neg.f64 (.f64 (neg.f64 (cosh.f64 x)) (neg.f64 y))) (.f64 x (neg.f64 z)))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y (*.f64 x z)))) #s(literal -2 binary64))
(pow.f64 (.f64 x (/.f64 z (.f64 y (cosh.f64 x)))) #s(literal -1 binary64))
(.f64 y (/.f64 (cosh.f64 x) (.f64 x z)))
(.f64 y (/.f64 #s(literal 1 binary64) (.f64 (/.f64 z (cosh.f64 x)) x)))
(.f64 (cosh.f64 x) (/.f64 y (.f64 x z)))
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x))
(.f64 (.f64 (/.f64 y z) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))
(.f64 (/.f64 y (.f64 x z)) (cosh.f64 x))
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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 (.f64 x x) (.f64 (.f64 x 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 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64))))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 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 (.f64 x x) (.f64 (.f64 x 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 (.f64 x x) (.f64 (.f64 x 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 (.f64 x x) (.f64 (.f64 x 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 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))

eval198.0ms (1.4%)

Memory: -4.3MiB live, 555.2MiB allocated
Compiler: Compiled 33 502 to 2 517 computations (92.5% saved)

prune234.0ms (1.6%)

Memory

7.5MiB live, 483.1MiB allocated

Pruning

45 alts after pruning (43 fresh and 2 done)

	Pruned	Kept	Total
New	1 539	40	1 579
Fresh	8	3	11
Picked	3	2	5
Done	0	0	0
Total	1 550	45	1 595

Accuracy

100.0%

Counts

1 595 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.8%	(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) z) x)
	76.5%	(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x) z)
	44.7%	(/.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 x y))
	75.8%	(/.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)
	33.3%	(/.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)
✓	96.0%	(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)
	85.4%	(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x)
▶	90.7%	(/.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)
	79.6%	(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) z)) x)
	48.0%	(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x)
	88.1%	(/.f64 (.f64 y #s(approx (/ (cosh x) 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)))) x)
	60.0%	(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z)
	44.1%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
	48.0%	(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x)
	73.0%	(/.f64 #s(approx (* y (/ (cosh x) z)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 y z))) x)
	77.1%	(/.f64 #s(literal 1 binary64) (.f64 z (/.f64 x (.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))))
	78.8%	(.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) z) (/.f64 #s(literal 1 binary64) x))
	82.1%	(.f64 (/.f64 (cosh.f64 x) (.f64 x z)) y)
▶	62.5%	(.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y)
	64.8%	(.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x))
	59.1%	(.f64 (/.f64 y (.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	65.0%	(.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)))
	75.4%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 (.f64 x x) 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 z)))
	75.4%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.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 x x) y) (*.f64 x z)))
▶	75.4%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 (.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))) x) y) (*.f64 x z)))
	74.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 (.f64 x x) y) (.f64 y #s(literal 1/2 binary64)))) y) (.f64 x z)))
	54.2%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 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)))) y) (*.f64 x z)))
	75.4%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (/.f64 y (/.f64 #s(literal 1 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)))
	75.4%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))) y) (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) y))) y) (.f64 x z)))
	75.3%	#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)))
	69.8%	#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) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)))
	74.3%	#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 x x)) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))) y) (*.f64 x z)))
	74.3%	#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 x (.f64 y (.f64 (.f64 x x) #s(literal 1/720 binary64))))))) y) (.f64 x z)))
	61.4%	#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)))
	76.2%	#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 #s(literal 1/720 binary64)))) y) (*.f64 x z)))
	88.8%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x (.f64 y 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) z) x))
	88.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x (.f64 y 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) z))
	65.1%	#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 #s(literal 1/2 binary64) (.f64 y (.f64 x x)) y)) (*.f64 x z)))
✓	46.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))
	46.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
	47.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)))
	44.1%	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
▶	46.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y))
	47.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) y))))
▶	46.5%	#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 (.f64 (.f64 x x) (.f64 x x)) x) (.f64 y (/.f64 #s(literal 1/720 binary64) z)))))

Compiler

Compiled 1 629 to 984 computations (39.6% saved)

simplify348.0ms (2.4%)

Memory

8.8MiB live, 528.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

10 212×	`lower-fma.f32`
10 200×	`lower-fma.f64`
5 166×	`lower-*.f32`
5 136×	`lower-*.f64`
3 308×	`lower-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	512
0	94	508
1	215	494
2	485	484
3	1390	476
4	2782	476
5	5769	476
6	6050	476
7	6444	476
8	6662	476
9	6678	476
10	6693	476
0	8230	476

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

localize250.0ms (1.7%)

Memory

-1.8MiB live, 478.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(*.f64 x #s(literal 1/720 binary64))
✓	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	88.1%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 (.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))) x) y) (*.f64 x z)))
✓	accuracy	82.3%	(/.f64 (fma.f64 x (.f64 (.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))) x) y) (*.f64 x z))
✓	accuracy	99.5%	(/.f64 #s(literal 1/720 binary64) z)
✓	accuracy	88.1%	#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 (.f64 (.f64 x x) (.f64 x x)) x) (.f64 y (/.f64 #s(literal 1/720 binary64) z)))))
✓	accuracy	84.9%	(.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) x) (.f64 y (/.f64 #s(literal 1/720 binary64) z)))
✓	accuracy	58.4%	#s(approx (/ (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (* x z)) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) x) (.f64 y (/.f64 #s(literal 1/720 binary64) z))))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	96.9%	(.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	88.0%	(/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 x z))
✓	accuracy	74.6%	#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	94.0%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y)
✓	accuracy	49.1%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y))
✓	accuracy	99.6%	(.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	96.0%	(/.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	90.8%	#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

131.0ms

256×

valid

Compiler

Compiled 362 to 56 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-mult: 64.0ms (62.7% of total)

ival-div: 19.0ms (18.6% of total)

ival-add: 10.0ms (9.8% of total)

const: 6.0ms (5.9% of total)

ival-cosh: 3.0ms (2.9% of total)

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

exact: 0.0ms (0% of total)

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

series63.0ms (0.4%)

Memory

-7.9MiB live, 68.5MiB allocated

Counts

26 → 636

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

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#<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))>
#<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 (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>

Calls

159 calls:

Time	Variable		Point	Expression
21.0ms	x	@	0	(* (* (* (* x x) (* x x)) x) (* y (/ 1/720 z)))
1.0ms	y	@	0	(* (* (* (* x x) (* x x)) x) (* y (/ 1/720 z)))
1.0ms	z	@	0	(* (* (* (* x x) (* x x)) x) (* y (/ 1/720 z)))
1.0ms	x	@	-inf	(/ (cosh x) (* x z))
1.0ms	z	@	inf	(* (* (* (* x x) (* x x)) x) (* y (/ 1/720 z)))

simplify474.0ms (3.3%)

Memory

20.9MiB live, 1 064.5MiB allocated

Algorithm

1×	egg-herbie

Rules

21 348×	`lower-fma.f64`
21 348×	`lower-fma.f32`
5 420×	`lower-*.f64`
5 420×	`lower-*.f32`
3 612×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	199	7942
1	652	7884
2	2064	7696
3	4791	7620
0	8249	7275

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 635

Calls

Call 1

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

rewrite551.0ms (3.8%)

Memory

-26.3MiB live, 647.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 546×	`lower-fma.f32`
7 534×	`lower-fma.f64`
4 626×	`lower-*.f32`
4 596×	`lower-*.f64`
4 058×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	57	397
0	94	385
1	383	373
2	1918	365
0	8479	365

Stop Event

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

Counts

26 → 690

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

eval241.0ms (1.7%)

Memory: 23.5MiB live, 406.3MiB allocated
Compiler: Compiled 34 604 to 2 642 computations (92.4% saved)

prune178.0ms (1.2%)

Memory

5.5MiB live, 377.4MiB allocated

Pruning

49 alts after pruning (45 fresh and 4 done)

	Pruned	Kept	Total
New	1 388	23	1 411
Fresh	16	22	38
Picked	2	3	5
Done	1	1	2
Total	1 407	49	1 456

Accuracy

100.0%

Counts

1 456 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.8%	(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) z) x)
	76.5%	(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x) z)
	44.7%	(/.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 x y))
	90.4%	(/.f64 (/.f64 y (/.f64 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))))) x)
▶	90.7%	(/.f64 (.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) y) x)
	33.3%	(/.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)
	53.2%	(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) x) (-.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)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
	90.6%	(/.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 (.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
	79.6%	(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) z)) x)
	48.0%	(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x)
▶	60.0%	(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z)
	44.1%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
▶	48.0%	(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x)
	73.0%	(/.f64 #s(approx (* y (/ (cosh x) z)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 y z))) x)
	62.2%	(/.f64 y (/.f64 (.f64 x z) #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
	77.1%	(/.f64 #s(literal 1 binary64) (.f64 z (/.f64 x (.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))))
	75.0%	(.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) x) z) y)
	82.1%	(.f64 (/.f64 (cosh.f64 x) (.f64 x z)) y)
	76.1%	(.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)
	71.2%	(.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 x z)) y)
	64.8%	(.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x))
	27.7%	(.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)
	59.1%	(.f64 (/.f64 y (.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	62.5%	(.f64 (.f64 (/.f64 #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)))) y)
	65.0%	(.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)))
	54.2%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (.f64 (.f64 y x) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #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)))
	74.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 (fma.f64 y #s(literal 1/2 binary64) (.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) y))) x) y) (.f64 x z)))
	75.4%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 (/.f64 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)))) x) y) (.f64 x z)))
✓	75.4%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 (.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))) x) y) (*.f64 x z)))
▶	76.2%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 (.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))) y) y) (*.f64 x z)))
	75.1%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 #s(approx ( y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) (.f64 y (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)))))) x) y) (.f64 x z)))
	61.4%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 #s(approx ( y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) (.f64 #s(literal 1/2 binary64) y)) x) y) (.f64 x z)))
	75.4%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))) y) (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) y))) y) (.f64 x z)))
	74.3%	#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 x x)) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))) y) (*.f64 x z)))
	88.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x (.f64 y 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) z))
	65.1%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* (* y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) x)) y) (fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 x x)) y)) (*.f64 x z)))
✓	46.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))
	46.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
	45.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y))
	47.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)))
	44.1%	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
✓	46.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y))
	47.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) y))))
	52.8%	#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 (.f64 y (.f64 x (.f64 x (.f64 x (.f64 x x))))) z) #s(literal 1/720 binary64))))
	51.7%	#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 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 z #s(literal 720 binary64))) y)))
	52.5%	#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 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) z) (/.f64 y #s(literal 720 binary64)))))
✓	46.5%	#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 (.f64 (.f64 x x) (.f64 x x)) x) (.f64 y (/.f64 #s(literal 1/720 binary64) z)))))
	50.1%	#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 x (.f64 x x)) (.f64 x (/.f64 (.f64 x (.f64 y #s(literal 1/720 binary64))) z)))))
	49.4%	#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 x x) (.f64 (.f64 x x) (/.f64 (.f64 x (.f64 y #s(literal 1/720 binary64))) z)))))

Compiler

Compiled 1 729 to 1 049 computations (39.3% saved)

simplify473.0ms (3.3%)

Memory

-13.4MiB live, 516.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

14 888×	`lower-fma.f32`
14 876×	`lower-fma.f64`
4 810×	`lower-*.f32`
4 794×	`lower-*.f64`
1 924×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	405
0	70	405
1	141	405
2	321	405
3	717	405
4	1458	405
5	2414	405
6	2957	405
7	4282	405
8	5551	403
9	6119	403
10	6369	403
11	6664	403
12	7243	403
0	8158	401

Stop Event

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

Calls

Call 1

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

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

localize162.0ms (1.1%)

Memory

27.9MiB live, 259.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(*.f64 x #s(literal 1/720 binary64))
✓	accuracy	97.0%	(.f64 (.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))) y)
✓	accuracy	88.1%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 (.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))) y) y) (*.f64 x z)))
✓	accuracy	82.3%	(/.f64 (fma.f64 x (.f64 (.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))) y) y) (*.f64 x z))
✓	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	96.0%	(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) z) x)
✓	accuracy	74.6%	#s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	95.1%	(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z)
✓	accuracy	60.4%	#s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)))
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	96.0%	(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x)
✓	accuracy	52.4%	#s(approx (* y (/ (cosh x) z)) (/.f64 y z))
✓	accuracy	99.8%	(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/720 binary64))
✓	accuracy	96.0%	(/.f64 (.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) y) x)
✓	accuracy	90.8%	#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)))

Samples

98.0ms

256×

valid

Compiler

Compiled 283 to 41 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-mult: 36.0ms (50.6% of total)

ival-div: 19.0ms (26.7% of total)

ival-add: 7.0ms (9.8% of total)

const: 6.0ms (8.4% of total)

ival-cosh: 3.0ms (4.2% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.1%)

Memory

-6.0MiB live, 31.2MiB allocated

Counts

22 → 576

Calls

Call 1

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

144 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(/ (* (/ (cosh x) z) y) x)
0.0ms	y	@	-inf	(/ y z)
0.0ms	y	@	0	(+ (* y (* x 1/2)) (/ y x))
0.0ms	y	@	-inf	(+ (* y (* x 1/2)) (/ y x))
0.0ms	y	@	-inf	(* y (cosh x))

simplify736.0ms (5.1%)

Memory

-5.0MiB live, 864.8MiB allocated

Algorithm

1×	egg-herbie

Rules

20 164×	`lower-fma.f64`
20 164×	`lower-fma.f32`
5 202×	`lower-*.f64`
5 202×	`lower-*.f32`
3 634×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	201	7342
1	648	7218
2	2112	7058
3	4909	7006
0	8287	6747

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 574

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

rewrite619.0ms (4.3%)

Memory

6.5MiB live, 533.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 082×	`lower-/.f32`
5 064×	`lower-/.f64`
4 398×	`lower-*.f32`
4 382×	`lower-*.f64`
4 346×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	302
0	70	302
1	276	302
2	1941	302
0	8111	302

Stop Event

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

Counts

22 → 597

Calls

Call 1

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

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

eval283.0ms (2%)

Memory: 8.3MiB live, 278.4MiB allocated
Compiler: Compiled 27 550 to 1 876 computations (93.2% saved)

prune391.0ms (2.7%)

Memory

-24.7MiB live, 257.7MiB allocated

Pruning

44 alts after pruning (38 fresh and 6 done)

	Pruned	Kept	Total
New	1 235	9	1 244
Fresh	11	29	40
Picked	3	2	5
Done	0	4	4
Total	1 249	44	1 293

Accuracy

100.0%

Counts

1 293 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	78.8%	(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) z) x)
	76.5%	(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x) z)
	44.7%	(/.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 x y))
	90.4%	(/.f64 (/.f64 y (/.f64 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))))) x)
	90.6%	(/.f64 (.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x 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))) z) y) x)
	79.6%	(/.f64 (.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) y) x)
	48.0%	(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) y) x)
	73.0%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) x)
	33.3%	(/.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)
	53.2%	(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) x) (-.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)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
	44.1%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
	26.6%	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 y (.f64 x #s(literal 1/2 binary64))))) z)
✓	48.0%	(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x)
	47.8%	(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 #s(literal 1 binary64) (/.f64 z y))) x)
	56.2%	(/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 z (/.f64 x y)))
	62.2%	(/.f64 y (/.f64 (.f64 x z) #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
	75.0%	(.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) x) z) y)
	82.1%	(.f64 (/.f64 (cosh.f64 x) (.f64 x z)) y)
	71.2%	(.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 x z)) y)
	27.7%	(.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)
	59.1%	(.f64 (/.f64 y (.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	62.5%	(.f64 (.f64 (/.f64 #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)))) y)
	65.0%	(.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)))
	70.4%	(.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)))
	54.2%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (.f64 (.f64 y x) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #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)))
	74.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 (fma.f64 y #s(literal 1/2 binary64) (.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) y))) x) y) (.f64 x z)))
	75.4%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 (/.f64 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)))) x) y) (.f64 x z)))
✓	75.4%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 (.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))) x) y) (*.f64 x z)))
	76.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 (.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))) y) y) (*.f64 x z)))
	75.1%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 #s(approx ( y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) (.f64 y (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)))))) x) y) (.f64 x z)))
	61.4%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 #s(approx ( y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) (.f64 #s(literal 1/2 binary64) y)) x) y) (.f64 x z)))
	75.4%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))) y) (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) y))) y) (.f64 x z)))
	74.3%	#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 x x)) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))) y) (*.f64 x z)))
	88.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x (.f64 y 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) z))
	65.1%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* (* y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) x)) y) (fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 x x)) y)) (*.f64 x z)))
✓	46.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))
	46.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
✓	46.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y))
	52.8%	#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 (.f64 y (.f64 x (.f64 x (.f64 x (.f64 x x))))) z) #s(literal 1/720 binary64))))
	51.7%	#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 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 z #s(literal 720 binary64))) y)))
	52.5%	#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 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) z) (/.f64 y #s(literal 720 binary64)))))
✓	46.5%	#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 (.f64 (.f64 x x) (.f64 x x)) x) (.f64 y (/.f64 #s(literal 1/720 binary64) z)))))
	50.1%	#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 x (.f64 x x)) (.f64 x (/.f64 (.f64 x (.f64 y #s(literal 1/720 binary64))) z)))))
	49.4%	#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 x x) (.f64 (.f64 x x) (/.f64 (.f64 x (.f64 y #s(literal 1/720 binary64))) z)))))

Compiler

Compiled 2 223 to 815 computations (63.3% saved)

regimes302.0ms (2.1%)

Memory

11.7MiB live, 204.3MiB allocated

Counts

89 → 2

Calls

Call 1

Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 y (.f64 x #s(literal 1/2 binary64))))) z)
(/.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 y z) (/.f64 #s(literal 1 binary64) x)))
#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 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x)
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) y) 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)
#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 #s(literal 1/2 binary64) (.f64 y (.f64 x x)) y)) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* (* y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) x)) y) (fma.f64 #s(literal 1/2 binary64) (.f64 y (.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 #s(literal 1/2 binary64) y))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 #s(approx ( y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) (.f64 #s(literal 1/2 binary64) y)) x) 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 #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 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 x y))
(.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 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) 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)
(.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 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) x) z) y)
(/.f64 y (/.f64 (.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 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 z (/.f64 x y)))
(/.f64 #s(approx (* y (/ (cosh x) z)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 y z))) x)
(/.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 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 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 y z)) x)
(/.f64 (.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) y) x)
(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x) z)
(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #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 x x) (.f64 (.f64 x x) (/.f64 (.f64 x (.f64 y #s(literal 1/720 binary64))) 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 x (.f64 x x)) (.f64 x (/.f64 (.f64 x (.f64 y #s(literal 1/720 binary64))) 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 (.f64 (.f64 x x) (.f64 x x)) x) (.f64 y (/.f64 #s(literal 1/720 binary64) 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 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 z #s(literal 720 binary64))) y)))
#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 (.f64 y (.f64 x (.f64 x (.f64 x (.f64 x x))))) z) #s(literal 1/720 binary64))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.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 (/.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 x z)) y)
(.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) z) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (.f64 z (/.f64 x (.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))))
#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 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) z) (/.f64 y #s(literal 720 binary64)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) y))))
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(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x)
(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.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 (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 #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 x (.f64 y (.f64 (.f64 x x) #s(literal 1/720 binary64))))))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 #s(approx ( y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) (.f64 y (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)))))) 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 y (.f64 x 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 (.f64 x x) #s(literal 1/720 binary64))) #s(literal 1/2 binary64)))) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 (.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))) y) 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 x (.f64 (.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))) y) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 (.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))) x) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.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 x x) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 (.f64 x x) 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 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 (/.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)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 (.f64 x x) y) (.f64 y #s(literal 1/2 binary64)))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 (fma.f64 y #s(literal 1/2 binary64) (.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) y))) x) y) (.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 (.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
(/.f64 (.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x 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))) z) y) x)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x (.f64 y 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) z))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x (.f64 y 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) z) x))
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#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 (/.f64 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)))) x) y) (.f64 x z)))
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(.f64 y (/.f64 (cosh.f64 x) (.f64 x z)))
(.f64 (/.f64 (cosh.f64 x) (.f64 x z)) y)
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) x) (-.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)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
(/.f64 (cosh.f64 x) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(/.f64 (/.f64 (cosh.f64 x) z) (/.f64 x y))
(/.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) y) z))
(.f64 (pow.f64 (/.f64 (neg.f64 z) (.f64 (cosh.f64 x) y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))

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

Calls

5 calls:

104.0ms	x
71.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
57.0ms	z
45.0ms	y
21.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))

Results

Accuracy	Segments	Branch
96.0%	1	`x`
96.0%	1	`y`
96.0%	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)

regimes59.0ms (0.4%)

Memory

-23.3MiB live, 44.5MiB allocated

Counts

85 → 2

Calls

Call 1

Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 y (.f64 x #s(literal 1/2 binary64))))) z)
(/.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 y z) (/.f64 #s(literal 1 binary64) x)))
#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 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x)
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) y) 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)
#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 #s(literal 1/2 binary64) (.f64 y (.f64 x x)) y)) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* (* y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) x)) y) (fma.f64 #s(literal 1/2 binary64) (.f64 y (.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 #s(literal 1/2 binary64) y))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 #s(approx ( y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) (.f64 #s(literal 1/2 binary64) y)) x) 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 #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 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 x y))
(.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 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) 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)
(.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 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) x) z) y)
(/.f64 y (/.f64 (.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 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 z (/.f64 x y)))
(/.f64 #s(approx (* y (/ (cosh x) z)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 y z))) x)
(/.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 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 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 y z)) x)
(/.f64 (.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) y) x)
(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x) z)
(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #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 x x) (.f64 (.f64 x x) (/.f64 (.f64 x (.f64 y #s(literal 1/720 binary64))) 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 x (.f64 x x)) (.f64 x (/.f64 (.f64 x (.f64 y #s(literal 1/720 binary64))) 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 (.f64 (.f64 x x) (.f64 x x)) x) (.f64 y (/.f64 #s(literal 1/720 binary64) 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 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 z #s(literal 720 binary64))) y)))
#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 (.f64 y (.f64 x (.f64 x (.f64 x (.f64 x x))))) z) #s(literal 1/720 binary64))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.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 (/.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 x z)) y)
(.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) z) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (.f64 z (/.f64 x (.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))))
#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 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) z) (/.f64 y #s(literal 720 binary64)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) y))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z)
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x)
(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.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 (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 #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 x (.f64 y (.f64 (.f64 x x) #s(literal 1/720 binary64))))))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 #s(approx ( y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) (.f64 y (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)))))) 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 y (.f64 x 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 (.f64 x x) #s(literal 1/720 binary64))) #s(literal 1/2 binary64)))) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 (.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))) y) 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 x (.f64 (.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))) y) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 (.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))) x) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.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 x x) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 (.f64 x x) 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 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 (/.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)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 (.f64 x x) y) (.f64 y #s(literal 1/2 binary64)))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 (fma.f64 y #s(literal 1/2 binary64) (.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) y))) x) y) (.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 (.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
(/.f64 (.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x 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))) z) y) x)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x (.f64 y 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) z))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x (.f64 y 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) z) x))
(/.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)
(/.f64 (.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) y) x)
(/.f64 (/.f64 y (/.f64 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))))) x)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (/.f64 y (/.f64 #s(literal 1 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)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 (/.f64 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)))) x) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))) y) (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) y))) y) (.f64 x z)))
(/.f64 (.f64 y #s(approx (/ (cosh x) 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)))) x)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 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)))) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (.f64 (.f64 y x) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #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 (cosh.f64 x) (.f64 x z)) y)
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) x) (-.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)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
(/.f64 (cosh.f64 x) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)

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

Calls

1 calls:

56.0ms

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

Results

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes165.0ms (1.1%)

Memory

15.5MiB live, 176.7MiB allocated

Counts

84 → 2

Calls

Call 1

Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 y (.f64 x #s(literal 1/2 binary64))))) z)
(/.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 y z) (/.f64 #s(literal 1 binary64) x)))
#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 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x)
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) y) 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)
#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 #s(literal 1/2 binary64) (.f64 y (.f64 x x)) y)) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* (* y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) x)) y) (fma.f64 #s(literal 1/2 binary64) (.f64 y (.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 #s(literal 1/2 binary64) y))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 #s(approx ( y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) (.f64 #s(literal 1/2 binary64) y)) x) 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 #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 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 x y))
(.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 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) 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)
(.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 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) x) z) y)
(/.f64 y (/.f64 (.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 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 z (/.f64 x y)))
(/.f64 #s(approx (* y (/ (cosh x) z)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 y z))) x)
(/.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 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 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 y z)) x)
(/.f64 (.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) y) x)
(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x) z)
(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #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 x x) (.f64 (.f64 x x) (/.f64 (.f64 x (.f64 y #s(literal 1/720 binary64))) 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 x (.f64 x x)) (.f64 x (/.f64 (.f64 x (.f64 y #s(literal 1/720 binary64))) 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 (.f64 (.f64 x x) (.f64 x x)) x) (.f64 y (/.f64 #s(literal 1/720 binary64) 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 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 z #s(literal 720 binary64))) y)))
#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 (.f64 y (.f64 x (.f64 x (.f64 x (.f64 x x))))) z) #s(literal 1/720 binary64))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.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 (/.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 x z)) y)
(.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) z) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (.f64 z (/.f64 x (.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))))
#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 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) z) (/.f64 y #s(literal 720 binary64)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) y))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z)
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x)
(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.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 (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 #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 x (.f64 y (.f64 (.f64 x x) #s(literal 1/720 binary64))))))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 #s(approx ( y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) (.f64 y (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)))))) 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 y (.f64 x 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 (.f64 x x) #s(literal 1/720 binary64))) #s(literal 1/2 binary64)))) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 (.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))) y) 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 x (.f64 (.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))) y) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 (.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))) x) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.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 x x) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 (.f64 x x) 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 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 (/.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)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 (.f64 x x) y) (.f64 y #s(literal 1/2 binary64)))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 (fma.f64 y #s(literal 1/2 binary64) (.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) y))) x) y) (.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 (.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
(/.f64 (.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x 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))) z) y) x)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x (.f64 y 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) z))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x (.f64 y 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) z) x))
(/.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)
(/.f64 (.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) y) x)
(/.f64 (/.f64 y (/.f64 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))))) x)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (/.f64 y (/.f64 #s(literal 1 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)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 (/.f64 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)))) x) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))) y) (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) y))) y) (.f64 x z)))
(/.f64 (.f64 y #s(approx (/ (cosh x) 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)))) x)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 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)))) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (.f64 (.f64 y x) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #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 (cosh.f64 x) (.f64 x z)) y)
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) x) (-.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)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)
(/.f64 (cosh.f64 x) (/.f64 (*.f64 x z) y))

Outputs

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

5 calls:

43.0ms	y
41.0ms	z
32.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
23.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
22.0ms	x

Results

Accuracy	Segments	Branch
96.5%	2	`x`
92.7%	2	`y`
90.7%	1	`z`
94.6%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
95.0%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes87.0ms (0.6%)

Memory

-17.5MiB live, 21.3MiB allocated

Counts

80 → 2

Calls

Call 1

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

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

(/.f64 (*.f64 y (/.f64 #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

2 calls:

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

Results

Accuracy	Segments	Branch
94.7%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
92.9%	2	`x`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes20.0ms (0.1%)

Memory

19.1MiB live, 19.1MiB allocated

Counts

71 → 2

Calls

Call 1

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

Outputs

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

1 calls:

17.0ms

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

Results

Accuracy	Segments	Branch
94.7%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes78.0ms (0.5%)

Memory

-13.5MiB live, 24.7MiB allocated

Counts

70 → 2

Calls

Call 1

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

Outputs

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

Calls

1 calls:

74.0ms

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

Results

Accuracy	Segments	Branch
94.7%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes20.0ms (0.1%)

Memory

24.3MiB live, 24.3MiB allocated

Counts

68 → 2

Calls

Call 1

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

Outputs

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

Calls

1 calls:

16.0ms

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

Results

Accuracy	Segments	Branch
94.7%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes254.0ms (1.8%)

Memory

-28.6MiB live, 91.8MiB allocated

Counts

66 → 2

Calls

Call 1

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

Outputs

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

Calls

5 calls:

75.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
67.0ms	z
18.0ms	x
18.0ms	y
16.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
85.4%	1	`z`
85.4%	1	`y`
91.0%	2	`x`
89.3%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
89.4%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes18.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated

Counts

57 → 2

Calls

Call 1

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

Outputs

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

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
90.9%	2	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes69.0ms (0.5%)

Memory

-22.1MiB live, 16.9MiB allocated

Counts

55 → 2

Calls

Call 1

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

Outputs

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
90.7%	2	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes18.0ms (0.1%)

Memory

19.7MiB live, 19.7MiB allocated

Counts

54 → 2

Calls

Call 1

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

Outputs

#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 #s(literal 1/720 binary64)))) y) (*.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 (*.f64 y (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) z) #s(literal 1/720 binary64))))

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
90.7%	2	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes16.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB 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 (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 y (.f64 x #s(literal 1/2 binary64))))) z)
(/.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 y z) (/.f64 #s(literal 1 binary64) x)))
#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 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x)
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) y) 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)
#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 #s(literal 1/2 binary64) (.f64 y (.f64 x x)) y)) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* (* y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) x)) y) (fma.f64 #s(literal 1/2 binary64) (.f64 y (.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 #s(literal 1/2 binary64) y))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 #s(approx ( y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) (.f64 #s(literal 1/2 binary64) y)) x) 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 #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 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 x y))
(.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 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) 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)
(.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 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) x) z) y)
(/.f64 y (/.f64 (.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 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 z (/.f64 x y)))
(/.f64 #s(approx (* y (/ (cosh x) z)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 y z))) x)
(/.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 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 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 y z)) x)
(/.f64 (.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) y) x)
(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x) z)
(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #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 x x) (.f64 (.f64 x x) (/.f64 (.f64 x (.f64 y #s(literal 1/720 binary64))) 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 x (.f64 x x)) (.f64 x (/.f64 (.f64 x (.f64 y #s(literal 1/720 binary64))) 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 (.f64 (.f64 x x) (.f64 x x)) x) (.f64 y (/.f64 #s(literal 1/720 binary64) 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 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 z #s(literal 720 binary64))) y)))
#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 (.f64 y (.f64 x (.f64 x (.f64 x (.f64 x x))))) z) #s(literal 1/720 binary64))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.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 (/.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 x z)) y)
(.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) z) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (.f64 z (/.f64 x (.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))))
#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 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) z) (/.f64 y #s(literal 720 binary64)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) y))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z)
(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x)
(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.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)

Outputs

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

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
90.6%	2	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

41 → 2

Calls

Call 1

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

Outputs

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
90.5%	2	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes30.0ms (0.2%)

Memory

-31.2MiB live, 7.9MiB allocated

Counts

40 → 2

Calls

Call 1

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

Outputs

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
89.4%	2	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes64.0ms (0.4%)

Memory

7.1MiB live, 49.1MiB allocated

Counts

39 → 2

Calls

Call 1

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

Outputs

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

Calls

5 calls:

20.0ms	z
11.0ms	y
11.0ms	x
10.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
10.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
82.7%	2	`y`
82.4%	2	`z`
83.5%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
83.5%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
86.7%	2	`x`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes12.0ms (0.1%)

Memory

19.7MiB live, 19.7MiB allocated

Counts

37 → 2

Calls

Call 1

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

Outputs

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
85.6%	2	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes49.0ms (0.3%)

Memory

-4.6MiB live, 33.1MiB allocated

Counts

36 → 2

Calls

Call 1

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

39.0ms	x
9.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
83.5%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
81.7%	2	`x`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes84.0ms (0.6%)

Memory

6.6MiB live, 79.9MiB 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 (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 y (.f64 x #s(literal 1/2 binary64))))) z)
(/.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 y z) (/.f64 #s(literal 1 binary64) x)))
#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 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x)
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) y) 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)
#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 #s(literal 1/2 binary64) (.f64 y (.f64 x x)) y)) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* (* y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) x)) y) (fma.f64 #s(literal 1/2 binary64) (.f64 y (.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 #s(literal 1/2 binary64) y))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 #s(approx ( y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) (.f64 #s(literal 1/2 binary64) y)) x) 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 #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 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 x y))
(.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 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) 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)
(.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 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) x) z) y)
(/.f64 y (/.f64 (.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 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 z (/.f64 x y)))
(/.f64 #s(approx (* y (/ (cosh x) z)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 y z))) x)

Outputs

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

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

Calls

5 calls:

30.0ms	z
27.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
9.0ms	y
9.0ms	x
8.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))

Results

Accuracy	Segments	Branch
77.6%	2	`x`
79.0%	2	`z`
78.3%	2	`y`
80.1%	3	`(*.f64 (cosh.f64 x) (/.f64 y x))`
80.1%	3	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes76.0ms (0.5%)

Memory

-16.9MiB live, 33.6MiB 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 (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 y (.f64 x #s(literal 1/2 binary64))))) z)
(/.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 y z) (/.f64 #s(literal 1 binary64) x)))
#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 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x)
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) y) 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)
#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 #s(literal 1/2 binary64) (.f64 y (.f64 x x)) y)) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* (* y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) x)) y) (fma.f64 #s(literal 1/2 binary64) (.f64 y (.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 #s(literal 1/2 binary64) y))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 #s(approx ( y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) (.f64 #s(literal 1/2 binary64) y)) x) 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 #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 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 x y))
(.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 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) 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)
(.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 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) x) z) y)
(/.f64 y (/.f64 (.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 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 z (/.f64 x y)))

Outputs

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

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

Calls

4 calls:

50.0ms	z
9.0ms	y
8.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
8.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
77.1%	2	`y`
77.9%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
77.9%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
75.0%	1	`z`

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes37.0ms (0.3%)

Memory

-10.5MiB live, 29.0MiB allocated

Counts

28 → 2

Calls

Call 1

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

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

Calls

2 calls:

28.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
8.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))

Results

Accuracy	Segments	Branch
77.9%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
77.9%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes80.0ms (0.6%)

Memory

4.4MiB live, 80.6MiB allocated

Counts

26 → 2

Calls

Call 1

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

5 calls:

47.0ms	z
9.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
8.0ms	y
8.0ms	x
7.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))

Results

Accuracy	Segments	Branch
72.0%	4	`z`
71.9%	3	`y`
68.2%	2	`x`
71.5%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
71.5%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes115.0ms (0.8%)

Memory

-6.6MiB live, 73.9MiB 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 (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 y (.f64 x #s(literal 1/2 binary64))))) z)
(/.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 y z) (/.f64 #s(literal 1 binary64) x)))
#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 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x)
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) y) 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)
#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 #s(literal 1/2 binary64) (.f64 y (.f64 x x)) y)) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* (* y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) x)) y) (fma.f64 #s(literal 1/2 binary64) (.f64 y (.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 #s(literal 1/2 binary64) y))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 #s(approx ( y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) (.f64 #s(literal 1/2 binary64) y)) x) 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 #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 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 x y))
(.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 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) 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)

Outputs

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

(/.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:

48.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
43.0ms	x
8.0ms	y
7.0ms	z
7.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))

Results

Accuracy	Segments	Branch
68.2%	2	`x`
65.1%	1	`z`
65.1%	1	`y`
68.0%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
68.0%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes15.0ms (0.1%)

Memory

29.4MiB live, 29.4MiB allocated

Counts

24 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
68.0%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
66.7%	2	`x`

Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes44.0ms (0.3%)

Memory

-26.7MiB live, 12.7MiB allocated

Counts

20 → 2

Calls

Call 1

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

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

Calls

1 calls:

43.0ms

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

Results

Accuracy	Segments	Branch
68.0%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes21.0ms (0.1%)

Memory

24.8MiB live, 24.8MiB allocated

Counts

12 → 4

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
51.9%	2	`y`
53.8%	3	`z`
66.2%	4	`x`
58.4%	3	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
58.4%	3	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes5.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
61.7%	2	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes35.0ms (0.2%)

Memory

-25.6MiB live, 13.9MiB allocated

Accuracy

Total -0.1b remaining (-0.2%)

Threshold costs -0.1b (-0.2%)

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:

29.0ms	x
2.0ms	z
1.0ms	y
1.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
1.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
46.0%	1	`y`
46.0%	1	`z`
46.0%	1	`(*.f64 (cosh.f64 x) (/.f64 y x))`
46.0%	1	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
46.0%	1	`x`

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.3242306660476455e-78	1.0216790431473978e-70

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.929010497017163e-17	0.001127612027623436

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch10.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2.0192098687825594e+45	1.1101152769642255e+46

Samples

5.0ms

96×

valid

Compiler

Compiled 242 to 163 computations (32.6% saved)

Precisions

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

ival-div: 1.0ms (36% of total)

ival-mult: 1.0ms (36% of total)

ival-cosh: 1.0ms (36% of total)

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

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

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.3242306660476455e-78	1.0216790431473978e-70

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.3242306660476455e-78	1.0216790431473978e-70

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.001127612027623436	1.6215943952266542e+30

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.001127612027623436	1.6215943952266542e+30

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch5.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	2.2531138256853605e+61	2.907126866469058e+61

Samples

3.0ms

48×

valid

Compiler

Compiled 149 to 94 computations (36.9% saved)

Precisions

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

ival-div: 1.0ms (64.5% of total)

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

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

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

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

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	2.2531138256853605e+61	2.907126866469058e+61

Compiler

Compiled 146 to 91 computations (37.7% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	2.2531138256853605e+61	2.907126866469058e+61

Compiler

Compiled 146 to 91 computations (37.7% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	2.2531138256853605e+61	2.907126866469058e+61

Compiler

Compiled 143 to 88 computations (38.5% saved)

bsearch50.0ms (0.3%)

Memory

-35.0MiB live, 5.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
50.0ms	0.012645789262007358	0.01702394431037263

Samples

3.0ms

48×

valid

Compiler

Compiled 134 to 88 computations (34.3% saved)

Precisions

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

ival-div: 1.0ms (59.5% of total)

ival-cosh: 1.0ms (59.5% of total)

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

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

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

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.012645789262007358	0.01702394431037263

Compiler

Compiled 119 to 79 computations (33.6% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.012645789262007358	0.01702394431037263

Compiler

Compiled 119 to 79 computations (33.6% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.012645789262007358	0.01702394431037263

Compiler

Compiled 119 to 79 computations (33.6% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.012645789262007358	0.01702394431037263

Compiler

Compiled 119 to 76 computations (36.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.001127612027623436	1.6215943952266542e+30

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch11.0ms (0.1%)

Memory

25.0MiB live, 25.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	5.686266928372414e+47	4.4270281650262326e+49

Samples

6.0ms

112×

valid

Compiler

Compiled 238 to 167 computations (29.8% saved)

Precisions

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

ival-div: 1.0ms (28.1% of total)

ival-mult: 1.0ms (28.1% of total)

ival-cosh: 1.0ms (28.1% of total)

ival-true: 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	1.7324553729369036e+305	+inf

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.111444627715804e+131	8.091301720124826e+136

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	+inf	NaN

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch45.0ms (0.3%)

Memory

-30.6MiB live, 8.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
44.0ms	4.820253046322631e+154	3.8996812021475987e+155

Samples

42.0ms

48×

valid

Compiler

Compiled 107 to 73 computations (31.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-div: 1.0ms (67.3% of total)

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

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

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

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

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.111444627715804e+131	8.091301720124826e+136

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	1.111444627715804e+131	8.091301720124826e+136

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch21.0ms (0.1%)

Memory

34.7MiB live, 34.7MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	1.4683615956042158e+288	4.8096211110969787e+288
11.0ms	1.055069970227951e+92	2.2102475770715807e+95
0.0ms	0.012645789262007358	0.01702394431037263

Samples

11.0ms

208×

valid

Compiler

Compiled 412 to 289 computations (29.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 3.0ms (48% of total)

ival-cosh: 2.0ms (32% of total)

ival-mult: 1.0ms (16% of total)

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

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

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.012645789262007358	0.01702394431037263

Compiler

Compiled 74 to 55 computations (25.7% saved)

simplify55.0ms (0.4%)

Memory

0.8MiB live, 39.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	238	1776
1	294	1776

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 1303703024854071/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128 binary64)) (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x))
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 2028240960365167/40564819207303340847894502572032 binary64)) (/.f64 (cosh.f64 x) (/.f64 (.f64 x z) y)) (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x))
(if (<=.f64 x #s(literal 11000000000000000178068129441063114541765754880 binary64)) (.f64 y (/.f64 (cosh.f64 x) (.f64 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 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 1303703024854071/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128 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 (.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 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 1303703024854071/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128 binary64)) #s(approx (/ ( (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x (.f64 y 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) 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 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ ( (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x (.f64 y 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) 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 (.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x))
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ ( (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.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 x x) y) (.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 (.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x))
(if (<=.f64 x #s(literal 22999999999999999549527958185682374469306819978055999872303104 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))) #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 (.f64 y (.f64 x (.f64 x (.f64 x (.f64 x x))))) z) #s(literal 1/720 binary64)))))
(if (<=.f64 x #s(literal 22999999999999999549527958185682374469306819978055999872303104 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) (.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) #s(approx (/ (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (* x z)) (.f64 (/.f64 (.f64 y (.f64 x (.f64 x (.f64 x (.f64 x x))))) z) #s(literal 1/720 binary64)))))
(if (<=.f64 x #s(literal 22999999999999999549527958185682374469306819978055999872303104 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 (.f64 y (.f64 x 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) #s(approx (/ (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (* x z)) (.f64 (/.f64 (.f64 y (.f64 x (.f64 x (.f64 x (.f64 x x))))) z) #s(literal 1/720 binary64)))))
(if (<=.f64 x #s(literal 22999999999999999549527958185682374469306819978055999872303104 binary64)) #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 #s(literal 1/720 binary64)))) y) (.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 (.f64 y (.f64 x (.f64 x (.f64 x (.f64 x x))))) z) #s(literal 1/720 binary64)))))
(if (<=.f64 x #s(literal 1224979098644775/72057594037927936 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (.f64 x z))) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (* x z)) (.f64 (/.f64 (.f64 y (.f64 x (.f64 x (.f64 x (.f64 x x))))) z) #s(literal 1/720 binary64)))))
(if (<=.f64 x #s(literal 1224979098644775/72057594037927936 binary64)) #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 #s(literal 1/2 binary64) (.f64 y (.f64 x x)) y)) (.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 (.f64 y (.f64 x (.f64 x (.f64 x (.f64 x x))))) z) #s(literal 1/720 binary64)))))
(if (<=.f64 x #s(literal 1224979098644775/72057594037927936 binary64)) #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 #s(literal 1/2 binary64) (.f64 y (.f64 x x)) y)) (.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 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 z #s(literal 720 binary64))) y))))
(if (<=.f64 x #s(literal 1224979098644775/72057594037927936 binary64)) #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 #s(literal 1/2 binary64) (.f64 y (.f64 x x)) y)) (.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 x (.f64 x x)) (.f64 x (/.f64 (.f64 x (.f64 y #s(literal 1/720 binary64))) z))))))
(if (<=.f64 x #s(literal 1224979098644775/72057594037927936 binary64)) #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 #s(literal 1/2 binary64) (.f64 y (.f64 x x)) y)) (.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 x x) (.f64 (.f64 x x) (/.f64 (.f64 x (.f64 y #s(literal 1/720 binary64))) z))))))
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 1152921504606847/576460752303423488 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 z #s(literal 22000000000000000640089993333249615018793027764224 binary64)) (/.f64 #s(approx (* y (/ (cosh x) z)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 y z))) x) (.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) x) z) y))
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 199999999999999987850710501107292437200805744402346499063815431426464091260264678056866185148810154968737122361123243451574343874852720610604715976817337655499746028833640220821354205063248818116874396050971031981532793651016436653190982245392158996106920698373251448128152087616919197241498086962762874880 binary64)) (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 z (/.f64 x y))) (.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) x) z) y))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 199999999999999982405111001914463627825705729939051460364922737117355163153802565541919878198424069508213948681199740222346696327168 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 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) x) z) y))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) #s(literal +inf.0 binary64)) (.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 #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 300000000000000014061395121132273785984305712004547226270198369939771084693400443760393917403640143767473896334192544556313398599753466940889114044253863936 binary64)) #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 #s(literal 1/2 binary64) (.f64 y (.f64 x x)) y)) (.f64 x z))) (/.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 199999999999999982405111001914463627825705729939051460364922737117355163153802565541919878198424069508213948681199740222346696327168 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) #s(approx (/ ( (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 x x)) y)) (*.f64 x z))))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 199999999999999982405111001914463627825705729939051460364922737117355163153802565541919878198424069508213948681199740222346696327168 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) (/.f64 y 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 #s(literal 1/2 binary64) (.f64 y (.f64 x x)) y)) (*.f64 x z))))
(if (<=.f64 x #s(literal 1224979098644775/72057594037927936 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (.f64 x z))) (if (<=.f64 x #s(literal 28500000000000000946772740683356314529845897239410500752890591331977919068711951642044902932480 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 y (.f64 x #s(literal 1/2 binary64))))) z) (if (<=.f64 x #s(literal 4599999999999999872808098317168800358929198416999967930998500098127328151218346978216982260598983427423342886866529894876190016577534160846559565919511420003636464098023350247379345224169715963380959437669215268164183909376680745773346913163912985654364095991806692568441586544516479844352 binary64)) (.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 #s(approx ( (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 y (.f64 x #s(literal 1/2 binary64))))) z))))
(if (<=.f64 x #s(literal 1224979098644775/72057594037927936 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (.f64 x z))) (/.f64 #s(approx ( (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 y (.f64 x #s(literal 1/2 binary64))))) z))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))

Outputs
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 1303703024854071/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128 binary64)) (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x))
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 2028240960365167/40564819207303340847894502572032 binary64)) (/.f64 (cosh.f64 x) (/.f64 (.f64 x z) y)) (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x))
(if (<=.f64 x #s(literal 11000000000000000178068129441063114541765754880 binary64)) (.f64 y (/.f64 (cosh.f64 x) (.f64 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 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 1303703024854071/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128 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 (.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))
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(if (<=.f64 x #s(literal 1224979098644775/72057594037927936 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (.f64 x z))) (if (<=.f64 x #s(literal 28500000000000000946772740683356314529845897239410500752890591331977919068711951642044902932480 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 y (.f64 x #s(literal 1/2 binary64))))) z) (if (<=.f64 x #s(literal 4599999999999999872808098317168800358929198416999967930998500098127328151218346978216982260598983427423342886866529894876190016577534160846559565919511420003636464098023350247379345224169715963380959437669215268164183909376680745773346913163912985654364095991806692568441586544516479844352 binary64)) (.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 #s(approx ( (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 y (.f64 x #s(literal 1/2 binary64))))) z))))
(if (<=.f64 x #s(literal 1224979098644775/72057594037927936 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (.f64 x z))) (if (<=.f64 x #s(literal 28500000000000000946772740683356314529845897239410500752890591331977919068711951642044902932480 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 y (.f64 x #s(literal 1/2 binary64))))) z) (if (<=.f64 x #s(literal 4599999999999999872808098317168800358929198416999967930998500098127328151218346978216982260598983427423342886866529894876190016577534160846559565919511420003636464098023350247379345224169715963380959437669215268164183909376680745773346913163912985654364095991806692568441586544516479844352 binary64)) (.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))) (/.f64 #s(approx ( (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 y (.f64 x #s(literal 1/2 binary64))))) z))))
(if (<=.f64 x #s(literal 1224979098644775/72057594037927936 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (.f64 x z))) (/.f64 #s(approx ( (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 y (.f64 x #s(literal 1/2 binary64))))) z))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))

soundness2.9s (20%)

Memory

-12.0MiB live, 2 182.0MiB allocated

Rules

21 348×	`lower-fma.f64`
21 348×	`lower-fma.f32`
20 164×	`lower-fma.f64`
20 164×	`lower-fma.f32`
15 684×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	302
0	70	302
1	276	302
2	1941	302
0	8111	302
0	7	19
0	11	19
1	36	19
2	208	19
3	2161	19
0	8571	19
0	191	6548
1	624	6428
2	2014	6278
3	5398	6238
0	8253	5978
0	201	7342
1	648	7218
2	2112	7058
3	4909	7006
0	8287	6747
0	57	397
0	94	385
1	383	373
2	1918	365
0	8479	365
0	199	7942
1	652	7884
2	2064	7696
3	4791	7620
0	8249	7275
0	33	204
0	56	204
1	217	204
2	1499	204
0	8516	204
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×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 1 971 to 813 computations (58.8% saved)

preprocess314.0ms (2.2%)

Memory: 18.8MiB live, 688.3MiB allocated
Compiler: Compiled 2 142 to 482 computations (77.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated