Metrics for Quotient of sum of exps

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated

analyze5.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
50%	50%	50%	0.1%	0%	0%	0%	2
75%	74.9%	25%	0.1%	0%	0%	0%	3
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	4
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	5
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	6
95.2%	93.7%	4.7%	0.1%	0%	1.6%	0%	7
96%	93.7%	3.9%	0.1%	0%	2.3%	0%	8
97.2%	93.7%	2.7%	0.1%	0%	3.5%	0%	9
97.8%	93.7%	2.1%	0.1%	0%	4.1%	0%	10
98.5%	93.7%	1.5%	0.1%	0%	4.8%	0%	11
98.8%	93.7%	1.1%	0.1%	0%	5.1%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample1.1s (14.6%)

Memory

6.5MiB live, 2 281.9MiB allocated

Samples

466.0ms	8 256×	0	valid
161.0ms	3 046×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 318.0ms

ival-exp: 174.0ms (54.7% of total)

ival-div: 73.0ms (23% of total)

ival-add: 59.0ms (18.6% of total)

ival-true: 8.0ms (2.5% of total)

ival-assert: 4.0ms (1.3% of total)

Bogosity

explain72.0ms (0.9%)

Memory

-11.6MiB live, 191.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
3	-	-	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
0	-	-	`(+.f64 (exp.f64 a) (exp.f64 b))`
0	-	-	`a`
0	-	-	`(exp.f64 b)`
0	-	-	`b`
0	-	-	`(exp.f64 a)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`	o/o	2	0
↳	`(exp.f64 a)`	overflow	2
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	overflow	61
↳	`(exp.f64 a)`	overflow	2
↳	`(exp.f64 b)`	overflow	59
`/.f64`	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`	u/u	1	0
↳	`(exp.f64 a)`	underflow	75
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	underflow	1
↳	`(exp.f64 a)`	underflow	75
↳	`(exp.f64 b)`	underflow	47

Confusion

	Predicted +	Predicted -
+	3	0
-	0	253

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	3	0	0
-	0	0	253

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	253
1	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

28.0ms

512×

valid

Compiler

Compiled 52 to 22 computations (57.7% saved)

Precisions

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

ival-exp: 9.0ms (57.1% of total)

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

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

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

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

preprocess87.0ms (1.1%)

Memory

6.8MiB live, 46.2MiB allocated

Algorithm

1×	egg-herbie

Rules

432×	`times-frac`
352×	`div-sub`
224×	`distribute-lft-in`
204×	`distribute-rgt-in`
182×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	48
1	40	48
2	75	48
3	144	48
4	259	43
5	468	43
6	645	43
7	900	43
8	1236	43
9	1468	43
10	1644	42
11	1827	42
12	1933	42
13	2099	42
14	2178	42
15	2208	42
16	2216	42
17	2218	42
18	2218	42
0	6	8
0	10	8
1	11	8
0	11	8

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 10 to 6 computations (40% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify3.0ms (0%)

Memory

8.4MiB live, 8.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(exp.f64 b)
cost-diff	0	(+.f64 (exp.f64 a) (exp.f64 b))
cost-diff	0	(exp.f64 a)
cost-diff	0	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Rules

4×	`lift-exp.f64`
4×	`lower-+.f32`
4×	`lower-exp.f32`
2×	`lift-+.f64`
2×	`lift-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
0	10	19
1	11	19
0	11	19

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(exp.f64 a)
a
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 b)
b

Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(exp.f64 a)
a
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 b)
b

localize22.0ms (0.3%)

Memory

-29.3MiB live, 49.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 b)
accuracy	0	(exp.f64 a)
accuracy	0.01171875	(+.f64 (exp.f64 a) (exp.f64 b))
accuracy	0.7500041260724644	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Samples

14.0ms

256×

valid

Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions

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

ival-exp: 5.0ms (64.2% of total)

ival-div: 2.0ms (25.7% of total)

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

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

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

series7.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated

Counts

4 → 72

Calls

Call 1

Inputs
#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())
#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())
#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())
#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())

Outputs
#s(alt (/ 1 (+ 1 (exp b))) (taylor 0 a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) (taylor 0 a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) (taylor 0 a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) (taylor 0 a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ 1 (exp a))) (taylor 0 b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) (taylor 0 b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) (taylor 0 b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) (taylor 0 b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (+ 1 a) (taylor 0 a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* a (+ 1 (* 1/2 a)))) (taylor 0 a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (taylor 0 a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor -inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor -inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor -inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor -inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp b)) (taylor 0 a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ a (exp b))) (taylor 0 a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) (taylor 0 a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) (taylor 0 a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp a)) (taylor 0 b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ b (exp a))) (taylor 0 b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) (taylor 0 b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (taylor 0 b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
#s(alt (+ 1 b) (taylor 0 b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* b (+ 1 (* 1/2 b)))) (taylor 0 b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) (taylor 0 b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor -inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor -inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor -inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor -inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(/ (exp a) (+ (exp a) (exp b)))
1.0ms	b	@	inf	(/ (exp a) (+ (exp a) (exp b)))
1.0ms	b	@	0	(/ (exp a) (+ (exp a) (exp b)))
1.0ms	a	@	inf	(/ (exp a) (+ (exp a) (exp b)))
1.0ms	a	@	-inf	(/ (exp a) (+ (exp a) (exp b)))

simplify320.0ms (4.2%)

Memory

-3.0MiB live, 555.5MiB allocated

Algorithm

1×	egg-herbie

Rules

18 438×	`lower-fma.f64`
18 438×	`lower-fma.f32`
4 430×	`lower-*.f64`
4 430×	`lower-*.f32`
2 966×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	740
1	332	725
2	963	708
3	3702	677
0	8342	640

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ 1 (exp a))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)

Outputs
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (+.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (fma.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 #s(literal -3/2 binary64) a #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (fma.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 a (fma.f64 a (+.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -2/3 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 #s(literal -3/2 binary64) a #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 b (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (fma.f64 b #s(literal -1/2 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (-.f64 (.f64 b (fma.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (fma.f64 b #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))))) (.f64 b b) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ a (exp b)))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) a))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (+ b (exp a)))
(+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
1
#s(literal 1 binary64)
(+ 1 b)
(+.f64 #s(literal 1 binary64) b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)

rewrite254.0ms (3.3%)

Memory

10.4MiB live, 565.5MiB allocated

Rules

5 200×	`lower-/.f32`
5 198×	`lower-/.f64`
4 032×	`lower-fma.f64`
4 032×	`lower-fma.f32`
3 280×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
0	10	17
1	32	17
2	203	17
3	1936	17
0	8631	17

Stop Event

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

Counts

4 → 314

Calls

Call 1

Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(exp.f64 a)
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 b)

Outputs
(+.f64 (.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))) (exp.f64 (+.f64 a a))) (.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))
(+.f64 (.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))) (.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))) (exp.f64 (+.f64 a a))))
(+.f64 (.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (exp.f64 a)) (.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (neg.f64 (exp.f64 b))))
(+.f64 (.f64 (exp.f64 (+.f64 a a)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64)))))) (.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64)))))))
(+.f64 (.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64)))))) (.f64 (exp.f64 (+.f64 a a)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64)))))))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))))) (neg.f64 (neg.f64 (-.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))))))
(/.f64 (neg.f64 (.f64 (+.f64 (exp.f64 (.f64 a #s(literal 9 binary64))) (exp.f64 (.f64 b #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))))) (neg.f64 (+.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (-.f64 (exp.f64 (.f64 b #s(literal 6 binary64))) (exp.f64 (.f64 (+.f64 a b) #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (exp.f64 (.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))))) (neg.f64 (-.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (exp.f64 (.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))) (neg.f64 (+.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (+.f64 (exp.f64 (.f64 b #s(literal 4 binary64))) (exp.f64 (.f64 (+.f64 a b) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (*.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))) (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))))
(/.f64 (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (pow.f64 (neg.f64 (neg.f64 (exp.f64 b))) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (.f64 (neg.f64 (neg.f64 (exp.f64 b))) (neg.f64 (neg.f64 (exp.f64 b)))) (*.f64 (exp.f64 a) (neg.f64 (neg.f64 (exp.f64 b)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b)))) (neg.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))))) (.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (neg.f64 (exp.f64 b))) #s(literal 3 binary64)) (exp.f64 (.f64 a #s(literal 3 binary64)))) (fma.f64 (neg.f64 (neg.f64 (exp.f64 b))) (neg.f64 (neg.f64 (exp.f64 b))) (-.f64 (exp.f64 (+.f64 a a)) (.f64 (neg.f64 (neg.f64 (exp.f64 b))) (exp.f64 a)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 b) (exp.f64 a))) (fma.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 b) (exp.f64 a))) (*.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 b) (exp.f64 a)))))))
(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 a) (exp.f64 b))))
(.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))))
(.f64 (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))))
(*.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))))
(.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))) (.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))))))
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)))
(.f64 (neg.f64 (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))))))
(*.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))
(*.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) (exp.f64 a))))
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (+.f64 (exp.f64 a) (exp.f64 b)))
(.f64 (/.f64 (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (pow.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #s(literal 3 binary64)))) (fma.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (-.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (+.f64 a a))) (exp.f64 (*.f64 a #s(literal 4 binary64)))))
(.f64 (/.f64 (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64)))) (-.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #s(literal 2 binary64)))) (+.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))))
(.f64 (/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (-.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) (exp.f64 a))))
(.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))) (+.f64 (exp.f64 (.f64 a #s(literal 9 binary64))) (exp.f64 (.f64 b #s(literal 9 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (-.f64 (exp.f64 (.f64 b #s(literal 6 binary64))) (exp.f64 (.f64 (+.f64 a b) #s(literal 3 binary64)))))))
(.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))) (-.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (exp.f64 (.f64 b #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
(.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (exp.f64 (.f64 b #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (+.f64 (exp.f64 (.f64 b #s(literal 4 binary64))) (exp.f64 (.f64 (+.f64 a b) #s(literal 2 binary64)))))))
(.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (*.f64 b #s(literal 4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))))
(exp.f64 b)
(exp.f64 (*.f64 b #s(literal 1 binary64)))
(pow.f64 (exp.f64 b) #s(literal 1 binary64))

eval47.0ms (0.6%)

Memory: 8.8MiB live, 132.4MiB allocated
Compiler: Compiled 11 216 to 1 164 computations (89.6% saved)

prune73.0ms (1%)

Memory

-6.4MiB live, 197.4MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	408	5	413
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	409	5	414

Accuracy

99.7%

Counts

414 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.2%	(pow.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
▶	98.8%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a)))
▶	71.7%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
▶	79.8%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
▶	69.8%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))

Compiler

Compiled 132 to 90 computations (31.8% saved)

simplify174.0ms (2.3%)

Memory

-20.8MiB live, 257.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 (exp.f64 a) (exp.f64 b))
cost-diff	0	(pow.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64))
cost-diff	12224	(pow.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
cost-diff	13056	(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))
cost-diff	0	(+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
cost-diff	320	(*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
cost-diff	6272	(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
cost-diff	0	#s(approx (exp b) #s(literal 1 binary64))
cost-diff	0	(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
cost-diff	0	(exp.f64 a)
cost-diff	6080	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
cost-diff	0	(exp.f64 b)
cost-diff	0	(+.f64 #s(literal 1 binary64) (exp.f64 b))
cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
cost-diff	0	(exp.f64 a)
cost-diff	0	(+.f64 (exp.f64 a) (exp.f64 b))
cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
cost-diff	13440	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a)))

Rules

5 046×	`lower-fma.f64`
5 046×	`lower-fma.f32`
2 508×	`lower-*.f32`
2 504×	`lower-*.f64`
1 154×	`lower-/.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	33	216
0	53	214
1	72	214
2	107	204
3	174	202
4	295	202
5	518	198
6	1032	198
7	1756	198
8	2550	198
9	4458	198
10	6163	198
11	7695	198
0	8029	198

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
#s(literal 1 binary64)
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 a)
a
(exp.f64 b)
b
(exp.f64 (neg.f64 a))
(neg.f64 a)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(exp.f64 b)
b
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 a)
a
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
b
(-.f64 #s(literal -1 binary64) (exp.f64 a))
#s(literal -1 binary64)
(exp.f64 a)
a
#s(literal 1 binary64)
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(pow.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 a)
a
(exp.f64 b)
b
(exp.f64 (neg.f64 a))
(neg.f64 a)
#s(literal -1/2 binary64)
#s(literal 2 binary64)

Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
#s(literal 1 binary64)
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 a)
a
(exp.f64 b)
b
(exp.f64 (neg.f64 a))
(neg.f64 a)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(exp.f64 b)
b
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (neg.f64 a)) #s(approx (exp b) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 a)
a
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
b
(-.f64 #s(literal -1 binary64) (exp.f64 a))
#s(literal -1 binary64)
(exp.f64 a)
a
#s(literal 1 binary64)
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(pow.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 b a))))
(pow.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) #s(literal -1/2 binary64))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 a)
a
(exp.f64 b)
b
(exp.f64 (neg.f64 a))
(neg.f64 a)
#s(literal -1/2 binary64)
#s(literal 2 binary64)

localize97.0ms (1.3%)

Memory

3.4MiB live, 250.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(+.f64 (exp.f64 a) (exp.f64 b))
accuracy	0.015625	(pow.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64))
accuracy	0.37109375	(pow.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy	0.6875055021016504	(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))
accuracy	0.00390625	(*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
accuracy	0.015625	(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
accuracy	0.4921930021016504	(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
accuracy	18.818432583864155	#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
accuracy	0	(exp.f64 a)
accuracy	0.01171875	(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
accuracy	0.7500041260724644	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
accuracy	26.705960867245523	#s(approx (exp b) #s(literal 1 binary64))
accuracy	0	(exp.f64 b)
accuracy	0.0078125	(+.f64 #s(literal 1 binary64) (exp.f64 b))
accuracy	0.015625	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
accuracy	12.944057979992165	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
accuracy	0	(exp.f64 a)
accuracy	0.01171875	(+.f64 (exp.f64 a) (exp.f64 b))
accuracy	0.0234375	(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
accuracy	0.7343791260724644	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a)))

Samples

57.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 188 to 27 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div: 9.0ms (24.3% of total)

ival-pow: 9.0ms (24.3% of total)

ival-exp: 6.0ms (16.2% of total)

ival-add: 5.0ms (13.5% of total)

ival-mult: 3.0ms (8.1% of total)

ival-pow2: 3.0ms (8.1% of total)

ival-sub: 1.0ms (2.7% of total)

exact: 1.0ms (2.7% of total)

ival-neg: 1.0ms (2.7% of total)

adjust: 0.0ms (0% of total)

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

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

series57.0ms (0.7%)

Memory

19.3MiB live, 136.7MiB allocated

Counts

19 → 384

Calls

Call 1

Inputs
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())
#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())
#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 b)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 b)) #<representation binary64>) () ())
#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())
#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (exp b) #s(literal 1 binary64)) (patch #s(approx (exp b) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (patch (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (patch (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())
#s(alt (pow.f64 (pow.f64 (.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (patch (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #<representation binary64>) () ())

Outputs
#s(alt (/ 1 (+ 1 (exp b))) (taylor 0 a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) (taylor 0 a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) (taylor 0 a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) (taylor 0 a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor inf a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor inf a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor inf a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor inf a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))) (taylor -inf a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))) (taylor -inf a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))) (taylor -inf a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))) (taylor -inf a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (neg a)) (+ 1 (exp a)))) (taylor 0 b) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a))))) (taylor 0 b) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a))))) (taylor 0 b) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a))))) (taylor 0 b) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor inf b) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor inf b) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor inf b) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor inf b) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor -inf b) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor -inf b) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor -inf b) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor -inf b) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ b (+ 1 (exp a)))) (taylor -inf a) (#s(alt (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (patch (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b (+ 1 (exp a)))) (taylor -inf a) (#s(alt (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (patch (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b (+ 1 (exp a)))) (taylor -inf a) (#s(alt (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (patch (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())

Calls

96 calls:

Time	Variable		Point	Expression
10.0ms	a	@	-inf	(* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a))))
5.0ms	a	@	inf	(* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a))))
4.0ms	b	@	0	(/ 1 (+ (exp a) (exp b)))
2.0ms	a	@	inf	(/ (/ 1 (+ (exp a) (exp b))) (exp (neg a)))
1.0ms	a	@	0	(pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2)

simplify297.0ms (3.9%)

Memory

12.6MiB live, 606.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 630×	`lower-fma.f64`
9 630×	`lower-fma.f32`
4 244×	`lower-*.f64`
4 244×	`lower-*.f32`
3 960×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	454	6293
1	1371	5503
2	4475	5279
0	8489	5071

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

Inputs
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ 1 (exp a))))
(+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (+ 1 (exp b)))
(+ (* -1 (/ a (pow (+ 1 (exp b)) 2))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (* a (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (* a (- (+ (* a (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4))))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ 1 (+ (exp a) (exp b)))
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(/ 1 (+ (exp a) (exp b)))
(/ 1 (+ (exp a) (exp b)))
(/ 1 (+ (exp a) (exp b)))
(/ 1 (+ (exp a) (exp b)))
(/ 1 (+ 1 (exp a)))
(+ (* -1 (/ b (pow (+ 1 (exp a)) 2))) (/ 1 (+ 1 (exp a))))
(+ (* b (- (* b (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (+ 1 (exp a))))
(+ (* b (- (* b (- (+ (* b (- (/ 1 (pow (+ 1 (exp a)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp a)) 2))) (/ 1 (pow (+ 1 (exp a)) 4))))) (/ 1 (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (+ 1 (exp a))))
(/ 1 (+ (exp a) (exp b)))
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(/ 1 (+ (exp a) (exp b)))
(/ 1 (+ (exp a) (exp b)))
(/ 1 (+ (exp a) (exp b)))
(/ 1 (+ (exp a) (exp b)))
(/ 1 (+ (exp a) (exp b)))
(/ 1 (+ (exp a) (exp b)))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ (exp a) (exp b))
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(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ 1 (exp a))
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(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ (exp a) (exp b))
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(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(exp a)
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(exp a)
(exp a)
(exp a)
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(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (exp b))
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1
(+ 1 b)
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(/ 1 (+ 1 (exp b)))
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(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ (exp a) (exp b))
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(+ (exp a) (exp b))
(+ (exp a) (exp b))
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(+ (exp a) (exp b))
(+ 1 (exp a))
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(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ (exp a) (exp b))
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(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
(* 1/2 (+ 1 (* -1/2 b)))
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(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
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(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(/ (exp a) (+ (exp a) (exp b)))
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(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
1
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(* -1 (/ b (+ 1 (exp a))))
(* b (- (/ 1 b) (/ 1 (+ 1 (exp a)))))
(* b (- (/ 1 b) (/ 1 (+ 1 (exp a)))))
(* b (- (/ 1 b) (/ 1 (+ 1 (exp a)))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 b))))
(* -1 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 b))))
(* -1 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 b))))
(+ 1 (* -1/2 b))
(+ 1 (+ (* -1/2 b) (* 1/4 (* a b))))
(+ 1 (+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (* 1/8 b)))))))
(+ 1 (+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))))))))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
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(+ 1 (* -1 (/ b (+ 1 (exp a)))))
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(+ 1 (+ (exp b) (* a (+ 1 (* -1 (+ 1 (exp b)))))))
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (* 1/2 (+ 1 (exp b))) 1/2)))))))
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (+ (* 1/2 (+ 1 (exp b))) (* a (+ 1/6 (* -1/6 (+ 1 (exp b)))))) 1/2)))))))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ 1 (exp a)))
(+ (* b (exp (neg a))) (* (exp (neg a)) (+ 1 (exp a))))
(+ (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))) (* (exp (neg a)) (+ 1 (exp a))))
(+ (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))) (* (exp (neg a)) (+ 1 (exp a))))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ 1 (exp a))))
(+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(sqrt (/ 1 (+ 1 (exp b))))
(+ (sqrt (/ 1 (+ 1 (exp b)))) (* 1/2 (* (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (sqrt (+ 1 (exp b))))))
(+ (sqrt (/ 1 (+ 1 (exp b)))) (* a (+ (* 1/2 (* (sqrt (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (* 1/2 (* (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/4 (* (+ 1 (exp b)) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b))))))) (sqrt (+ 1 (exp b))))))))
(+ (sqrt (/ 1 (+ 1 (exp b)))) (* a (+ (* 1/2 (* (sqrt (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (* a (+ (* 1/2 (* (sqrt (+ 1 (exp b))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/4 (* (+ 1 (exp b)) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (* 1/2 (* (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (* (+ 1 (exp b)) (* (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/4 (* (+ 1 (exp b)) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (sqrt (+ 1 (exp b))))))))))
(sqrt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))))
(sqrt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))))
(sqrt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))))
(sqrt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))))
(sqrt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))))
(sqrt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))))
(sqrt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))))
(sqrt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))))
(sqrt (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(+ (sqrt (/ 1 (* (exp (neg a)) (+ 1 (exp a))))) (* -1/2 (* b (sqrt (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))))))
(+ (sqrt (/ 1 (* (exp (neg a)) (+ 1 (exp a))))) (* b (+ (* -1/2 (sqrt (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))))) (* 1/2 (* (* b (- (* 3/4 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (sqrt (* (exp (neg a)) (+ 1 (exp a)))))))))
(+ (sqrt (/ 1 (* (exp (neg a)) (+ 1 (exp a))))) (* b (+ (* -1/2 (sqrt (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))))) (* b (+ (* 1/2 (* (sqrt (* (exp (neg a)) (+ 1 (exp a)))) (- (* 3/4 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))))) (* 1/2 (* (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* -1/2 (/ (- (* 3/4 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (+ 1 (exp a)))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4))))))) (sqrt (* (exp (neg a)) (+ 1 (exp a)))))))))))
(sqrt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))))
(sqrt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))))
(sqrt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))))
(sqrt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))))
(sqrt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))))
(sqrt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))))
(sqrt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))))
(sqrt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(* -1/2 b)
(+ (* -1/2 b) (* 1/4 (* a b)))
(+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (* 1/8 b))))))
(+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))))))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))

Outputs
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))
(+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 a (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (neg.f64 (exp.f64 b)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (+.f64 (fma.f64 a (fma.f64 a (-.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 (neg.f64 (exp.f64 b)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (neg.f64 (exp.f64 b)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 (fma.f64 (exp.f64 b) #s(literal 1/2 binary64) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (neg.f64 (exp.f64 b)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ 1 (exp a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (/.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))))
(+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(fma.f64 b (fma.f64 b (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(fma.f64 b (fma.f64 b (fma.f64 b (+.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 4 binary64))))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (* -1 (/ a (pow (+ 1 (exp b)) 2))) (/ 1 (+ 1 (exp b))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))
(+ (* a (- (* a (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (fma.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (* a (- (+ (* a (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4))))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (fma.f64 a (fma.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/ 1 (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ 1 (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ 1 (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ 1 (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ 1 (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ 1 (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ 1 (+ (exp a) (exp b)))
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(/ 1 (+ (exp a) (exp b)))
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(fma.f64 b (fma.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal 3/4 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) (.f64 b (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))))
(+ (sqrt (/ 1 (* (exp (neg a)) (+ 1 (exp a))))) (* b (+ (* -1/2 (sqrt (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))))) (* b (+ (* 1/2 (* (sqrt (* (exp (neg a)) (+ 1 (exp a)))) (- (* 3/4 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))))) (* 1/2 (* (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* -1/2 (/ (- (* 3/4 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (+ 1 (exp a)))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4))))))) (sqrt (* (exp (neg a)) (+ 1 (exp a)))))))))))
(fma.f64 b (fma.f64 b (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (fma.f64 b (+.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal 3/4 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 4 binary64))))) (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal 3/4 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))))) (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))))
(sqrt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(sqrt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(sqrt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(sqrt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(sqrt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(sqrt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(sqrt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(sqrt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 (neg.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 (neg.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 (neg.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 (neg.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 (neg.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 (neg.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 (neg.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 (neg.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 (neg.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 (neg.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 (neg.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 (neg.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* -1/2 b)
(*.f64 b #s(literal -1/2 binary64))
(+ (* -1/2 b) (* 1/4 (* a b)))
(*.f64 b (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64)))
(+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (* 1/8 b))))))
(*.f64 b (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64)))
(+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))))))))
(fma.f64 a (fma.f64 a (.f64 b (.f64 #s(literal -1/48 binary64) a)) (.f64 b #s(literal 1/4 binary64))) (.f64 b #s(literal -1/2 binary64)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 (neg.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 (neg.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 (neg.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 (neg.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 (neg.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 (neg.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 (neg.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 (neg.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))

rewrite226.0ms (2.9%)

Memory

-12.3MiB live, 588.4MiB allocated

Rules

4 236×	`lower-/.f32`
4 224×	`lower-/.f64`
3 512×	`lower-*.f32`
3 508×	`lower-*.f64`
3 336×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	168
0	53	166
1	193	158
2	1311	156
0	8541	156

Stop Event

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

Counts

19 → 743

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 a)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(exp.f64 b)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))
(pow.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))

Outputs
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal -1 binary64)))
(exp.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (log1p.f64 (exp.f64 (+.f64 (neg.f64 a) b))))))
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (log1p.f64 (exp.f64 (+.f64 (neg.f64 a) b))))) #s(literal 1 binary64)))
(exp.f64 (+.f64 a (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64) a))
(exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64)) (neg.f64 a)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 (neg.f64 a)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) #s(literal -1 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) (exp.f64 (neg.f64 a)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (exp.f64 (neg.f64 a)) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 (neg.f64 a)) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))) #s(literal -1 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a)))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) (exp.f64 (neg.f64 a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))))
(/.f64 #s(literal -1 binary64) (*.f64 (exp.f64 (neg.f64 a)) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))))
(/.f64 (neg.f64 (exp.f64 a)) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (exp.f64 (neg.f64 a))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal 2 binary64))) #s(literal -1/4 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log1p.f64 (exp.f64 (+.f64 (neg.f64 a) b)))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))))
(*.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (exp.f64 a) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (exp.f64 (neg.f64 a)) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1/2 binary64)) (pow.f64 (.f64 (exp.f64 (neg.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (.f64 (exp.f64 (neg.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (exp.f64 a)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal -1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal -3/4 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal -1/4 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal -3/4 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1/2 binary64)) (exp.f64 (*.f64 (neg.f64 a) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal -3/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal -1/4 binary64)))
(.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))))
(.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))))))
(*.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (-.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (/.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (/.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64)) (exp.f64 a))
(*.f64 (pow.f64 (neg.f64 (exp.f64 a)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (exp.f64 a)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal -3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal -1/4 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (exp.f64 (*.f64 (neg.f64 a) #s(literal -1/2 binary64))))
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64)) (exp.f64 a))
(*.f64 (pow.f64 (neg.f64 (exp.f64 a)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (exp.f64 a)) #s(literal 1 binary64)))
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(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (exp.f64 (*.f64 (neg.f64 a) #s(literal -1/2 binary64))))
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(exp.f64 (*.f64 #s(literal -1/2 binary64) (log1p.f64 (exp.f64 (+.f64 (neg.f64 a) b)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal 2 binary64))) #s(literal -1/4 binary64)))
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(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) #s(literal 1/2 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
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(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal 2 binary64)) #s(literal -1/4 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log1p.f64 (exp.f64 (+.f64 (neg.f64 a) b))))
(.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1/2 binary64)) (exp.f64 (.f64 (neg.f64 a) #s(literal -1/2 binary64))))
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(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64)))
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(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(neg.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
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(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) b)
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(.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))))
(*.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (expm1.f64 a))
(*.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 a))))
(*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(*.f64 (/.f64 (neg.f64 b) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b) #s(literal -1/2 binary64)))

eval174.0ms (2.3%)

Memory: 8.8MiB live, 515.0MiB allocated
Compiler: Compiled 28 840 to 2 768 computations (90.4% saved)

prune159.0ms (2.1%)

Memory

-24.4MiB live, 502.8MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	1 407	10	1 417
Fresh	0	0	0
Picked	4	1	5
Done	0	0	0
Total	1 411	11	1 422

Accuracy

100.0%

Counts

1 422 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.7%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a)))
	70.0%	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
▶	72.4%	#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
✓	79.8%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
▶	53.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
▶	50.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
▶	39.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
	38.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
	39.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
▶	41.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
	39.8%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/8 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))

Compiler

Compiled 239 to 154 computations (35.6% saved)

simplify91.0ms (1.2%)

Memory

15.6MiB live, 135.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	0	#s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
cost-diff	0	(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	0	#s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
cost-diff	0	(+.f64 b #s(literal 2 binary64))
cost-diff	0	#s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))
cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
cost-diff	0	#s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
cost-diff	0	(exp.f64 (neg.f64 a))
cost-diff	0	(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
cost-diff	0	#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))

Rules

2 528×	`lower-fma.f32`
2 518×	`lower-fma.f64`
750×	`lower-*.f64`
750×	`lower-*.f32`
488×	`lower-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	257
0	58	257
1	95	255
2	157	253
3	274	252
4	365	252
5	429	252
6	601	252
7	710	252
8	892	252
9	1988	252
10	2300	252
11	2399	252
12	2430	252
13	2443	252
14	2443	252
0	2443	252

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(exp.f64 (neg.f64 a))
(neg.f64 a)
a
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))
(+.f64 b #s(literal 2 binary64))
b
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
b
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
b
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)

Outputs
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(exp.f64 (neg.f64 a))
(neg.f64 a)
a
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))
(+.f64 b #s(literal 2 binary64))
b
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
b
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
b
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)

localize114.0ms (1.5%)

Memory

-16.3MiB live, 309.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.046875	(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
accuracy	0.16015625	(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy	12.944057979992165	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
accuracy	17.114757816956146	#s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
accuracy	0.00390625	(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
accuracy	0.015625	(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
accuracy	12.944057979992165	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
accuracy	18.818124134843185	#s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
accuracy	0	(+.f64 b #s(literal 2 binary64))
accuracy	0.015625	(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))
accuracy	12.944057979992165	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
accuracy	26.19621947639957	#s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))
accuracy	12.944057979992165	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
accuracy	24.838483920096035	#s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))
accuracy	0	(neg.f64 a)
accuracy	0	(exp.f64 (neg.f64 a))
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
accuracy	17.629552806723016	#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))

Samples

73.0ms

256×

valid

Compiler

Compiled 159 to 33 computations (79.2% saved)

Precisions

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

ival-add: 17.0ms (31.3% of total)

ival-mult: 9.0ms (16.6% of total)

ival-pow: 9.0ms (16.6% of total)

ival-exp: 6.0ms (11% of total)

ival-div: 5.0ms (9.2% of total)

const: 4.0ms (7.4% of total)

ival-pow2: 3.0ms (5.5% of total)

exact: 1.0ms (1.8% of total)

ival-neg: 1.0ms (1.8% of total)

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

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

series19.0ms (0.2%)

Memory

14.5MiB live, 53.8MiB allocated

Counts

21 → 312

Calls

Call 1

Inputs
#s(alt #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())
#s(alt (exp.f64 (neg.f64 a)) (patch (exp.f64 (neg.f64 a)) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)) (patch #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))) (patch #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 b #s(literal 2 binary64)) (patch (+.f64 b #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (patch #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (patch #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())
#s(alt (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (/ 1 (+ 1 (exp b))) (taylor 0 a) (#s(alt #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) (taylor 0 a) (#s(alt #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) (taylor 0 a) (#s(alt #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) (taylor 0 a) (#s(alt #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor inf a) (#s(alt #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor inf a) (#s(alt #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor inf a) (#s(alt #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor inf a) (#s(alt #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))) (taylor -inf a) (#s(alt #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))) (taylor -inf a) (#s(alt #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))) (taylor -inf a) (#s(alt #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))) (taylor -inf a) (#s(alt #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (neg a)) (+ 1 (exp a)))) (taylor 0 b) (#s(alt #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a))))) (taylor 0 b) (#s(alt #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a))))) (taylor 0 b) (#s(alt #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a))))) (taylor 0 b) (#s(alt #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor inf b) (#s(alt #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor inf b) (#s(alt #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor inf b) (#s(alt #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor inf b) (#s(alt #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor -inf b) (#s(alt #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor -inf b) (#s(alt #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor -inf b) (#s(alt #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor -inf b) (#s(alt #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/4 a)) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (neg a)))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (neg a)))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (neg a)))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (neg a)))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -1 a)) (taylor 0 a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* a (- (* 1/2 a) 1))) (taylor 0 a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* a (- (* a (+ 1/2 (* -1/6 a))) 1))) (taylor 0 a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (neg a))) (taylor inf a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (neg a))) (taylor inf a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (neg a))) (taylor inf a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (neg a))) (taylor inf a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* -1 a))) (taylor -inf a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* -1 a))) (taylor -inf a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* -1 a))) (taylor -inf a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* -1 a))) (taylor -inf a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
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#s(alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2))))) (taylor -inf b) (#s(alt (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())

Calls

78 calls:

Time	Variable		Point	Expression
0.0ms	a	@	-inf	(/ 1 (+ 1 (exp (neg a))))
0.0ms	a	@	inf	(/ 1 (+ 1 (exp (neg a))))
0.0ms	b	@	-inf	(+ (* b (+ (* b 1/2) 1)) 2)
0.0ms	b	@	inf	(+ (* b (+ (* b 1/2) 1)) 2)
0.0ms	b	@	-inf	(+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2)

simplify246.0ms (3.2%)

Memory

0.3MiB live, 558.9MiB allocated

Algorithm

1×	egg-herbie

Rules

11 204×	`lower-fma.f64`
11 204×	`lower-fma.f32`
4 416×	`lower-*.f64`
4 416×	`lower-*.f32`
3 882×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	252	4051
1	710	3611
2	2053	3501
3	7465	3501
0	8009	3346

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 310

Calls

Call 1

Inputs
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ 1 (exp a))))
(+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))
(/ 1 (+ 1 (exp (neg a))))
(/ 1 (+ 1 (exp (neg a))))
(/ 1 (+ 1 (exp (neg a))))
(/ 1 (+ 1 (exp (neg a))))
(/ 1 (+ 1 (exp (* -1 a))))
(/ 1 (+ 1 (exp (* -1 a))))
(/ 1 (+ 1 (exp (* -1 a))))
(/ 1 (+ 1 (exp (* -1 a))))
2
(+ 2 (* -1 a))
(+ 2 (* a (- (* 1/2 a) 1)))
(+ 2 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))
(+ 1 (exp (neg a)))
(+ 1 (exp (neg a)))
(+ 1 (exp (neg a)))
(+ 1 (exp (neg a)))
(+ 1 (exp (* -1 a)))
(+ 1 (exp (* -1 a)))
(+ 1 (exp (* -1 a)))
(+ 1 (exp (* -1 a)))
1
(+ 1 (* -1 a))
(+ 1 (* a (- (* 1/2 a) 1)))
(+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))
(exp (neg a))
(exp (neg a))
(exp (neg a))
(exp (neg a))
(exp (* -1 a))
(exp (* -1 a))
(exp (* -1 a))
(exp (* -1 a))
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
2
(+ 2 b)
(+ 2 b)
(+ 2 b)
b
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
b
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* 1/2 b))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
1/2
(+ 1/2 (* 1/6 b))
(+ 1/2 (* 1/6 b))
(+ 1/2 (* 1/6 b))
(* 1/6 b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* 1/6 b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
1
(+ 1 (* 1/2 b))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))

Outputs
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 (neg.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
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(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 b))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/6 (pow b 2))
(.f64 #s(literal 1/6 binary64) (.f64 b b))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/6 (pow b 2))
(.f64 #s(literal 1/6 binary64) (.f64 b b))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))

rewrite232.0ms (3%)

Memory

-6.8MiB live, 552.3MiB allocated

Rules

4 010×	`lower-/.f32`
4 002×	`lower-/.f64`
3 522×	`lower-fma.f32`
3 512×	`lower-fma.f64`
3 212×	`lower-*.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	238
0	58	236
1	252	233
2	1712	233
0	8358	233

Stop Event

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

Counts

21 → 414

Calls

Call 1

Inputs
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(exp.f64 (neg.f64 a))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))
#s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))
(+.f64 b #s(literal 2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(neg.f64 a)
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))

Outputs
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 a))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 a) a)))) (/.f64 (exp.f64 (neg.f64 a)) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 a) a)))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 a) a))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (neg.f64 a) #s(literal 3 binary64))))) (/.f64 (exp.f64 (neg.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (neg.f64 a) #s(literal 3 binary64))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a))))
(/.f64 (fma.f64 (exp.f64 (neg.f64 a)) (expm1.f64 (neg.f64 a)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 a) a))))
(/.f64 (neg.f64 (fma.f64 (exp.f64 (neg.f64 a)) (expm1.f64 (neg.f64 a)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 a) a)))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 (neg.f64 a)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(.f64 (fma.f64 (exp.f64 (neg.f64 a)) (expm1.f64 (neg.f64 a)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (neg.f64 a) #s(literal 3 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 a) a)))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (neg.f64 a) #s(literal 3 binary64))))) (fma.f64 (exp.f64 (neg.f64 a)) (expm1.f64 (neg.f64 a)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (neg.f64 a) #s(literal 3 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (neg.f64 a)) (expm1.f64 (neg.f64 a)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 a) a)))) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 a) a)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (neg.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 a))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a))))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (/.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #s(literal 1 binary64)) (/.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (expm1.f64 (neg.f64 a))) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 a))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (neg.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))))
(fma.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 a))) #s(literal 1 binary64))
(neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (neg.f64 a)) (expm1.f64 (-.f64 (neg.f64 a) a))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))))
(/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64)))) (fma.f64 (exp.f64 (neg.f64 a)) (expm1.f64 (neg.f64 a)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64)))) (+.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 a) a))) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (exp.f64 (neg.f64 a)) (expm1.f64 (neg.f64 a)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 a) a)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(/.f64 (expm1.f64 (-.f64 (neg.f64 a) a)) (expm1.f64 (neg.f64 a)))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 (-.f64 (neg.f64 a) a)))) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 (neg.f64 a)) (expm1.f64 (neg.f64 a)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 a) a))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))))
(/.f64 (neg.f64 (expm1.f64 (-.f64 (neg.f64 a) a))) (neg.f64 (expm1.f64 (neg.f64 a))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (fma.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (/.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (/.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a))))
(*.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (neg.f64 a) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (neg.f64 a)) (expm1.f64 (neg.f64 a)) #s(literal 1 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (neg.f64 a) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 a) a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (neg.f64 a) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (exp.f64 (neg.f64 a)) (expm1.f64 (neg.f64 a)) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 a) a)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))))
(*.f64 (expm1.f64 (-.f64 (neg.f64 a) a)) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 a))))
(exp.f64 (neg.f64 a))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) a))
(/.f64 #s(literal 1 binary64) (exp.f64 a))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a)))
(pow.f64 (exp.f64 a) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) a)
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 a))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(pow.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))) #s(literal -1 binary64)))
(neg.f64 (neg.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
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(/.f64 (fma.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b))) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b)) #s(literal -1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b)) (-.f64 #s(literal 1 binary64) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b))) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b)) #s(literal -1 binary64))) (neg.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b)))) (-.f64 #s(literal 1 binary64) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b))) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b)) (-.f64 #s(literal 1 binary64) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64)) (.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))))) (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 b b)) (.f64 #s(literal 1/6 binary64) (.f64 b b)) (-.f64 (.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 b b)) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 b b))) #s(literal 3 binary64)) (.f64 (.f64 b (.f64 b b)) #s(literal 1/8 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 b b))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 b b))) (-.f64 (.f64 (.f64 b b) #s(literal 1/4 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 b b))) (*.f64 b #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b))) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b))) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b))) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b))) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 b b)) (.f64 #s(literal 1/6 binary64) (.f64 b b))) (.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 b b)) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 b b))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 b b)))) (.f64 (.f64 b b) #s(literal 1/4 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 b b))) (.f64 b #s(literal 1/2 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b)) (-.f64 #s(literal 1 binary64) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
(.f64 (fma.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b))) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
(.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b)) (-.f64 #s(literal 1 binary64) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
(.f64 (neg.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))

eval88.0ms (1.1%)

Memory: 24.8MiB live, 263.1MiB allocated
Compiler: Compiled 14 236 to 1 539 computations (89.2% saved)

prune121.0ms (1.6%)

Memory

-27.7MiB live, 376.7MiB allocated

Pruning

35 alts after pruning (29 fresh and 6 done)

	Pruned	Kept	Total
New	699	25	724
Fresh	1	4	5
Picked	0	5	5
Done	0	1	1
Total	700	35	735

Accuracy

100.0%

Counts

735 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.7%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a)))
	70.0%	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
✓	72.4%	#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
	62.3%	#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))))
▶	57.5%	#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
	42.5%	#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
	41.8%	#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
	41.8%	#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
	41.7%	#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
✓	79.8%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
	47.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 (.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b)) #s(literal -1 binary64)) b) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
	46.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) b) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
	53.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) b) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
▶	53.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))))
✓	53.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
	42.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 b #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
	53.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
	53.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
	53.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
✓	50.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
	46.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b)) #s(literal -1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
	53.2%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
▶	47.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))))))
	45.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (.f64 b b) (.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))))))
✓	39.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
	17.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b)))))
	17.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b)) b)) (neg.f64 (.f64 b (*.f64 b b))))))))
	17.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
	31.2%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (.f64 b (*.f64 b b)))))))))))
	16.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))
	14.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))
	14.8%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (.f64 b (.f64 b #s(literal 1/2 binary64)))))))
	38.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
▶	39.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
✓	41.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))

Compiler

Compiled 1 184 to 692 computations (41.6% saved)

simplify304.0ms (4%)

Memory

32.1MiB live, 629.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)))))
cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))))))
cost-diff	320	(fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64))
cost-diff	0	#s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))))
cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))))
cost-diff	320	(fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))
cost-diff	0	#s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))
cost-diff	0	#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
cost-diff	0	(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
cost-diff	0	(exp.f64 a)
cost-diff	0	(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
cost-diff	6912	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a)))

Rules

22 538×	`lower-fma.f32`
22 520×	`lower-fma.f64`
4 212×	`lower-*.f32`
4 206×	`lower-*.f64`
2 130×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	413
0	86	413
1	144	411
2	284	406
3	604	405
4	1204	405
5	2062	405
6	2872	405
7	3415	405
8	4721	405
0	8146	385

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
#s(literal 1 binary64)
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
(exp.f64 a)
a
#s(approx (exp b) #s(literal 1 binary64))
(exp.f64 (neg.f64 a))
(neg.f64 a)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
b
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))
a
(fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64))
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
(fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))
b
(fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 b b)
#s(literal 1/6 binary64)
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)))))
#s(literal 1 binary64)
#s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))))
(/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)))
(fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
b
#s(literal 1/2 binary64)
(.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b))
(fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)
(*.f64 b #s(literal 1/2 binary64))
#s(literal -4 binary64)
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))
#s(literal -2 binary64)

Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a)))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
#s(literal 1 binary64)
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
(exp.f64 a)
a
#s(approx (exp b) #s(literal 1 binary64))
(exp.f64 (neg.f64 a))
(neg.f64 a)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
b
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))
a
(fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64))
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
#s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
b
(fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 b b)
#s(literal 1/6 binary64)
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/4 binary64) #s(literal 1 binary64)) b) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/4 binary64) #s(literal 1 binary64)) b) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)))))
#s(literal 1 binary64)
#s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))))
#s(approx (+ 1 (exp b)) (/.f64 (fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/4 binary64) #s(literal 1 binary64)) b) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))))
(/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)))
(/.f64 (fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/4 binary64) #s(literal 1 binary64)) b) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)))
(fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/4 binary64) #s(literal 1 binary64)) b) #s(literal -4 binary64))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
b
#s(literal 1/2 binary64)
(.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b))
(fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)
(*.f64 b #s(literal 1/2 binary64))
#s(literal -4 binary64)
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))
#s(literal -2 binary64)

localize144.0ms (1.9%)

Memory

-37.9MiB live, 401.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.05078125	(.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b))
accuracy	12.944057979992165	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))))))
accuracy	18.093830744825055	(/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)))
accuracy	18.818124134843185	#s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))))
accuracy	0.04296875	(fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))
accuracy	0.0625	(fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))
accuracy	12.944057979992165	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))))
accuracy	17.114757816956146	#s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
accuracy	0.0078125	(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))
accuracy	9.981814952663832	#s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))
accuracy	17.629552806723016	#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
accuracy	0	(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
accuracy	12.944057979992165	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
accuracy	26.01242676886186	#s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
accuracy	0.01171875	(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
accuracy	0.0234375	(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
accuracy	0.7343791260724644	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a)))
accuracy	26.705960867245523	#s(approx (exp b) #s(literal 1 binary64))

Samples

87.0ms

256×

valid

Compiler

Compiled 259 to 49 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 18.0ms (28% of total)

ival-add: 14.0ms (21.8% of total)

ival-div: 9.0ms (14% of total)

ival-pow: 8.0ms (12.5% of total)

ival-exp: 6.0ms (9.3% of total)

const: 4.0ms (6.2% of total)

ival-pow2: 3.0ms (4.7% of total)

exact: 1.0ms (1.6% of total)

ival-neg: 1.0ms (1.6% of total)

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

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

series24.0ms (0.3%)

Memory

28.4MiB live, 67.8MiB allocated

Counts

23 → 360

Calls

Call 1

Inputs
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (patch #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))) (patch #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (patch #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) (patch (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch (fma.f64 (.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))) (patch #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (patch (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)))))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)))) (patch #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (exp b) #s(literal 1 binary64)) (patch #s(approx (exp b) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 b (fma.f64 (.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (patch (fma.f64 b (fma.f64 (.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (patch (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) (patch (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #<representation binary64>) () ())

Outputs
#s(alt (/ 1 (+ 1 (exp b))) (taylor 0 a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) (taylor 0 a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) (taylor 0 a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) (taylor 0 a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor inf a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor inf a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor inf a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor inf a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))) (taylor -inf a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))) (taylor -inf a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))) (taylor -inf a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))) (taylor -inf a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (neg a)) (+ 1 (exp a)))) (taylor 0 b) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
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#s(alt (+ 2 (* b (+ 1 (* 1/2 b)))) (taylor 0 b) (#s(alt (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (patch (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow b 2)) (taylor inf b) (#s(alt (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (patch (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1/2 (/ 1 b))) (taylor inf b) (#s(alt (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (patch (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2))))) (taylor inf b) (#s(alt (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (patch (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2))))) (taylor inf b) (#s(alt (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (patch (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow b 2)) (taylor -inf b) (#s(alt (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (patch (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1/2 (/ 1 b))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (patch (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2))))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (patch (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2))))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (patch (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) (patch (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* 1/2 b))) (taylor 0 b) (#s(alt (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) (patch (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* 1/2 b))) (taylor 0 b) (#s(alt (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) (patch (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* 1/2 b))) (taylor 0 b) (#s(alt (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) (patch (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow b 3)) (taylor inf b) (#s(alt (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) (patch (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 3) (+ 1/2 (/ 1 b))) (taylor inf b) (#s(alt (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) (patch (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 3) (+ 1/2 (/ 1 b))) (taylor inf b) (#s(alt (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) (patch (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 3) (+ 1/2 (/ 1 b))) (taylor inf b) (#s(alt (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) (patch (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow b 3)) (taylor -inf b) (#s(alt (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) (patch (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 3) (+ 1/2 (/ 1 b))) (taylor -inf b) (#s(alt (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) (patch (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 3) (+ 1/2 (/ 1 b))) (taylor -inf b) (#s(alt (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) (patch (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 3) (+ 1/2 (/ 1 b))) (taylor -inf b) (#s(alt (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) (patch (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #<representation binary64>) () ())) ())

Calls

90 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	(+ (* a (+ (* a 1/2) -1)) 2)
0.0ms	b	@	inf	(+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4)
0.0ms	b	@	0	(* b (+ (* b (* b 1/2)) b))
0.0ms	b	@	-inf	(* b (+ (* b (* b 1/2)) b))
0.0ms	b	@	inf	(/ (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (+ (* b (+ (* b 1/2) 1)) -2))

simplify257.0ms (3.3%)

Memory

-2.6MiB live, 596.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12 762×	`lower-fma.f64`
12 762×	`lower-fma.f32`
5 918×	`lower-+.f64`
5 918×	`lower-+.f32`
4 204×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	363	4830
1	1034	4363
2	2920	4240
0	8485	4052

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

Inputs
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ 1 (exp a))))
(+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (+ 1 (exp b)))
(+ (* -1 (/ a (pow (+ 1 (exp b)) 2))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (* a (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (* a (- (+ (* a (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4))))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ 1 (+ (exp a) (exp b)))
(/ 1 (+ (exp a) (exp b)))
(/ 1 (+ (exp a) (exp b)))
(/ 1 (+ (exp a) (exp b)))
(/ 1 (+ (exp a) (exp b)))
(/ 1 (+ (exp a) (exp b)))
(/ 1 (+ (exp a) (exp b)))
(/ 1 (+ (exp a) (exp b)))
(/ 1 (+ 1 (exp a)))
(+ (* -1 (/ b (pow (+ 1 (exp a)) 2))) (/ 1 (+ 1 (exp a))))
(+ (* b (- (* b (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (+ 1 (exp a))))
(+ (* b (- (* b (- (+ (* b (- (/ 1 (pow (+ 1 (exp a)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp a)) 2))) (/ 1 (pow (+ 1 (exp a)) 4))))) (/ 1 (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (+ 1 (exp a))))
(/ 1 (+ (exp a) (exp b)))
(/ 1 (+ (exp a) (exp b)))
(/ 1 (+ (exp a) (exp b)))
(/ 1 (+ (exp a) (exp b)))
(/ 1 (+ (exp a) (exp b)))
(/ 1 (+ (exp a) (exp b)))
(/ 1 (+ (exp a) (exp b)))
(/ 1 (+ (exp a) (exp b)))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ 1 (exp a))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* -1/4 b))
(+ 1/2 (* -1/4 b))
(* -1/4 b)
(* b (- (* 1/2 (/ 1 b)) 1/4))
(* b (- (* 1/2 (/ 1 b)) 1/4))
(* b (- (* 1/2 (/ 1 b)) 1/4))
(* -1/4 b)
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ 1 (exp a))))
(+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))
(/ 1 (+ 1 (exp (neg a))))
(/ 1 (+ 1 (exp (neg a))))
(/ 1 (+ 1 (exp (neg a))))
(/ 1 (+ 1 (exp (neg a))))
(/ 1 (+ 1 (exp (* -1 a))))
(/ 1 (+ 1 (exp (* -1 a))))
(/ 1 (+ 1 (exp (* -1 a))))
(/ 1 (+ 1 (exp (* -1 a))))
2
(+ 2 (* -1 a))
(+ 2 (* a (- (* 1/2 a) 1)))
(+ 2 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))
(+ 1 (exp (neg a)))
(+ 1 (exp (neg a)))
(+ 1 (exp (neg a)))
(+ 1 (exp (neg a)))
(+ 1 (exp (* -1 a)))
(+ 1 (exp (* -1 a)))
(+ 1 (exp (* -1 a)))
(+ 1 (exp (* -1 a)))
2
(+ 2 (* -1 a))
(+ 2 (* a (- (* 1/2 a) 1)))
(+ 2 (* a (- (* 1/2 a) 1)))
(* 1/2 (pow a 2))
(* (pow a 2) (- 1/2 (/ 1 a)))
(* (pow a 2) (- (+ 1/2 (/ 2 (pow a 2))) (/ 1 a)))
(* (pow a 2) (- (+ 1/2 (/ 2 (pow a 2))) (/ 1 a)))
(* 1/2 (pow a 2))
(* (pow a 2) (- 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (* -1 (/ (- 1 (* 2 (/ 1 a))) a))))
(* (pow a 2) (+ 1/2 (* -1 (/ (- 1 (* 2 (/ 1 a))) a))))
1
(+ 1 (* 1/2 b))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
-4
(- (pow b 2) 4)
(- (* (pow b 2) (+ 1 b)) 4)
(- (* (pow b 2) (+ 1 (* b (+ 1 (* 1/4 b))))) 4)
(* 1/4 (pow b 4))
(* (pow b 4) (+ 1/4 (/ 1 b)))
(* (pow b 4) (+ 1/4 (+ (/ 1 b) (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1/4 (+ (/ 1 b) (/ 1 (pow b 2)))) (* 4 (/ 1 (pow b 4)))))
(* 1/4 (pow b 4))
(* (pow b 4) (+ 1/4 (/ 1 b)))
(* (pow b 4) (+ 1/4 (+ (/ 1 b) (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (- 1 (* 4 (/ 1 (pow b 2)))) b)) 1) b))))
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* 1/2 b))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 1/2 b)))
(* (pow b 2) (+ 1 (* 1/2 b)))
(* (pow b 2) (+ 1 (* 1/2 b)))
(* 1/2 (pow b 3))
(* (pow b 3) (+ 1/2 (/ 1 b)))
(* (pow b 3) (+ 1/2 (/ 1 b)))
(* (pow b 3) (+ 1/2 (/ 1 b)))
(* 1/2 (pow b 3))
(* (pow b 3) (+ 1/2 (/ 1 b)))
(* (pow b 3) (+ 1/2 (/ 1 b)))
(* (pow b 3) (+ 1/2 (/ 1 b)))

Outputs
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))
(+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (fma.f64 a (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (neg.f64 (exp.f64 b)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (neg.f64 (exp.f64 b)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (/.f64 (neg.f64 (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 (fma.f64 (exp.f64 b) #s(literal 1/2 binary64) #s(literal 0 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (neg.f64 (exp.f64 b)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ 1 (exp a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (/.f64 b (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))))
(+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(fma.f64 b (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))) (neg.f64 b) (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(fma.f64 b (fma.f64 b (fma.f64 b (+.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1/6 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 4 binary64))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
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1/2
#s(literal 1/2 binary64)
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(.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b)
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))
(.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b (*.f64 b b))) #s(literal 1/6 binary64)))))
(* 1/6 (pow b 3))
(.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b)) b)) (neg.f64 (.f64 b (*.f64 b b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))
(.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b)) (/.f64 #s(literal -2 binary64) (.f64 b b))) b)) (neg.f64 (.f64 b (.f64 b b))))
2
#s(literal 2 binary64)
(+ 2 b)
(+.f64 b #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* 1/2 b))))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* 1/2 b))))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(* 1/2 (pow b 2))
(.f64 b (.f64 b #s(literal 1/2 binary64)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(fma.f64 (.f64 b b) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 b b))) b)
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(fma.f64 (.f64 b b) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 b b))) b)
(* 1/2 (pow b 2))
(.f64 b (.f64 b #s(literal 1/2 binary64)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(fma.f64 (.f64 b b) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 b b))) b)
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(fma.f64 (.f64 b b) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 b b))) b)
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 1/2 b)))
(.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b))
(* (pow b 2) (+ 1 (* 1/2 b)))
(.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b))
(* (pow b 2) (+ 1 (* 1/2 b)))
(.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b))
(* 1/2 (pow b 3))
(.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 b b)))
(* (pow b 3) (+ 1/2 (/ 1 b)))
(.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b))
(* (pow b 3) (+ 1/2 (/ 1 b)))
(.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b))
(* (pow b 3) (+ 1/2 (/ 1 b)))
(.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b))
(* 1/2 (pow b 3))
(.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 b b)))
(* (pow b 3) (+ 1/2 (/ 1 b)))
(.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b))
(* (pow b 3) (+ 1/2 (/ 1 b)))
(.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b))
(* (pow b 3) (+ 1/2 (/ 1 b)))
(.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b))

rewrite292.0ms (3.8%)

Memory

17.9MiB live, 651.3MiB allocated

Rules

4 818×	`lower-fma.f32`
4 800×	`lower-fma.f64`
4 270×	`lower-*.f32`
4 264×	`lower-*.f64`
4 264×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	357
0	86	355
1	366	289
2	2639	289
0	9478	275

Stop Event

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

Counts

23 → 475

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
(exp.f64 a)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))
#s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))))
#s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
(fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)))))
#s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))))
#s(approx (exp b) #s(literal 1 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)))
(.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b))

Outputs
(exp.f64 (.f64 (log1p.f64 (.f64 (exp.f64 (neg.f64 a)) #s(approx (exp b) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(exp.f64 (+.f64 a (*.f64 (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) #s(literal -1 binary64) a))
(exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) #s(literal -1 binary64)) (neg.f64 a)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))) (/.f64 (exp.f64 a) (neg.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 (neg.f64 a)))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))))
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (exp.f64 (neg.f64 a)) (neg.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (exp.f64 (neg.f64 a)))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (exp.f64 (neg.f64 a)) (neg.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (neg.f64 (exp.f64 (neg.f64 a))))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (neg.f64 (exp.f64 (neg.f64 a))))))
(/.f64 (neg.f64 (neg.f64 (exp.f64 a))) (neg.f64 (neg.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))))
(pow.f64 (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))
(*.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))))
(*.f64 (exp.f64 a) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 a))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (/.f64 (exp.f64 a) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (neg.f64 a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (/.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 (+.f64 a a))))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 a a)) (.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))) (/.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) #s(literal 1 binary64)) (exp.f64 a))
(*.f64 (pow.f64 (/.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a))) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (exp.f64 (neg.f64 a))))
(*.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (exp.f64 (neg.f64 a))) (/.f64 (pow.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64))))) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 (+.f64 a a))) (exp.f64 (neg.f64 a))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (exp.f64 (neg.f64 a))) (/.f64 (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 (+.f64 a a))) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 a a)) (.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))) #s(literal 1 binary64)) (/.f64 (-.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 a a)) (.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))) (exp.f64 (neg.f64 a))) (/.f64 (-.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))))))
(pow.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 (+.f64 a a))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 (+.f64 a a)))) #s(literal -1 binary64)))
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(.f64 (/.f64 (fma.f64 (.f64 (.f64 b b) (.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))) (.f64 (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) (.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 b b) (.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))))) #s(literal -64 binary64)) (fma.f64 (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b) (.f64 (.f64 b b) (.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal -8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) (.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 b b) (.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))))) (-.f64 #s(literal 16 binary64) (.f64 (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) (.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -4 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))))))
(.f64 (/.f64 (fma.f64 (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) (.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 b b) (.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))))) #s(literal -16 binary64)) (fma.f64 (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b) (.f64 (.f64 b b) (.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal -8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))))))
(+.f64 (.f64 b b) (.f64 b (.f64 #s(literal 1/2 binary64) (.f64 b b))))
(+.f64 (.f64 b (.f64 #s(literal 1/2 binary64) (.f64 b b))) (.f64 b b))
(-.f64 (/.f64 (.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) #s(literal 1/4 binary64))) (.f64 b b)) (-.f64 (.f64 b (.f64 #s(literal 1/2 binary64) (.f64 b b))) (.f64 b b))) (/.f64 (.f64 (.f64 b b) (.f64 b b)) (-.f64 (.f64 b (.f64 #s(literal 1/2 binary64) (.f64 b b))) (*.f64 b b))))
(fma.f64 #s(literal 1 binary64) (.f64 b b) (.f64 b (.f64 #s(literal 1/2 binary64) (.f64 b b))))
(fma.f64 b b (.f64 b (.f64 #s(literal 1/2 binary64) (*.f64 b b))))
(fma.f64 b (.f64 #s(literal 1/2 binary64) (.f64 b b)) (*.f64 b b))
(fma.f64 (.f64 b b) #s(literal 1 binary64) (.f64 b (.f64 #s(literal 1/2 binary64) (.f64 b b))))
(fma.f64 (.f64 b b) (.f64 b #s(literal 1/2 binary64)) (*.f64 b b))
(fma.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 b b) (*.f64 b b))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 b b)) b (*.f64 b b))
(fma.f64 (.f64 b (.f64 b b)) #s(literal 1/2 binary64) (*.f64 b b))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (.f64 b (.f64 #s(literal 1/2 binary64) (*.f64 b b))))
(/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) (fma.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) #s(literal 1/4 binary64))) (.f64 b b) (-.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 b (.f64 #s(literal 1/2 binary64) (.f64 b b))) (.f64 b b)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) #s(literal 1/4 binary64))) (.f64 b b)) (.f64 (.f64 b b) (.f64 b b))) (-.f64 (.f64 b (.f64 #s(literal 1/2 binary64) (.f64 b b))) (*.f64 b b)))
(/.f64 (.f64 b (fma.f64 b (.f64 b b) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b))) (.f64 b (.f64 b b))))) (fma.f64 b (-.f64 b (.f64 #s(literal 1/2 binary64) (.f64 b b))) (.f64 (.f64 b b) (.f64 (.f64 b b) #s(literal 1/4 binary64)))))
(/.f64 (.f64 b (-.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) #s(literal 1/4 binary64))) (.f64 b b))) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 b b)) b))
(/.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b))) (.f64 b (.f64 b b)))) b) (fma.f64 b (-.f64 b (.f64 #s(literal 1/2 binary64) (.f64 b b))) (.f64 (.f64 b b) (.f64 (.f64 b b) #s(literal 1/4 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) #s(literal 1/4 binary64))) (.f64 b b)) b) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 b b)) b))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))))) (neg.f64 (fma.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) #s(literal 1/4 binary64))) (.f64 b b) (-.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 b (.f64 #s(literal 1/2 binary64) (.f64 b b))) (.f64 b b))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) #s(literal 1/4 binary64))) (.f64 b b)) (.f64 (.f64 b b) (.f64 b b)))) (neg.f64 (-.f64 (.f64 b (.f64 #s(literal 1/2 binary64) (.f64 b b))) (*.f64 b b))))
(/.f64 (neg.f64 (.f64 b (fma.f64 b (.f64 b b) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b))) (.f64 b (.f64 b b)))))) (neg.f64 (fma.f64 b (-.f64 b (.f64 #s(literal 1/2 binary64) (.f64 b b))) (.f64 (.f64 b b) (.f64 (.f64 b b) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (.f64 b (-.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) #s(literal 1/4 binary64))) (.f64 b b)))) (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 b b)) b)))
(/.f64 (neg.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b))) (.f64 b (.f64 b b)))) b)) (neg.f64 (fma.f64 b (-.f64 b (.f64 #s(literal 1/2 binary64) (.f64 b b))) (.f64 (.f64 b b) (.f64 (.f64 b b) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) #s(literal 1/4 binary64))) (.f64 b b)) b)) (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 b b)) b)))
(/.f64 (fma.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))))) (fma.f64 (.f64 b b) (.f64 b b) (-.f64 (.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) #s(literal 1/4 binary64))) (.f64 b b)) (.f64 (.f64 b b) (.f64 b (.f64 #s(literal 1/2 binary64) (.f64 b b)))))))
(.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b))
(.f64 (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b) b)

eval121.0ms (1.6%)

Memory: -17.2MiB live, 345.0MiB allocated
Compiler: Compiled 20 513 to 1 929 computations (90.6% saved)

prune149.0ms (1.9%)

Memory

5.1MiB live, 453.6MiB allocated

Pruning

39 alts after pruning (29 fresh and 10 done)

	Pruned	Kept	Total
New	821	14	835
Fresh	9	15	24
Picked	1	4	5
Done	0	6	6
Total	831	39	870

Accuracy

100.0%

Counts

870 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	71.7%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a)))
	70.0%	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
✓	72.4%	#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
	62.3%	#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))))
✓	57.5%	#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
	42.1%	#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (/.f64 (fma.f64 (.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64))) (.f64 (.f64 a a) (.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 8 binary64)) (-.f64 (fma.f64 (.f64 a a) (.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 4 binary64)) (.f64 a (.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))))))
	48.8%	#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (/.f64 (fma.f64 a (.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -4 binary64)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -2 binary64))))))
	42.5%	#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
	39.3%	#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a 1/2) -1)) 2) (.f64 (.f64 a a) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) a)) a)))))))
	19.1%	#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a 1/2) -1)) 2) (.f64 #s(literal 1/2 binary64) (.f64 a a))))))
	41.8%	#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
	41.8%	#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
	41.7%	#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
✓	79.8%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
	47.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 (.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b)) #s(literal -1 binary64)) b) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
	54.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/6 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))))
	46.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) b) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
✓	53.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))))
✓	53.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
	42.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 b #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
	53.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
	53.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
	53.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
✓	50.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
	46.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b)) #s(literal -1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
	53.2%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* (* b b) 1/6) (+ (* b 1/2) 1)) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
	45.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (.f64 b b) (.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))))))
	9.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 #s(approx (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 b b) (.f64 b b)))) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))))))
✓	39.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
	14.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (+ (* b (+ (* b 1/2) 1)) -2)) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))
	14.8%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (+ (* b (+ (* b 1/2) 1)) -2)) (.f64 b (.f64 b #s(literal 1/2 binary64)))))))
	17.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b)))))
	17.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b))))))
	31.2%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b (*.f64 b b))) #s(literal 1/6 binary64)))))))))
	16.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))
	38.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
✓	39.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
	4.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
✓	41.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))

Compiler

Compiled 1 586 to 611 computations (61.5% saved)

regimes74.0ms (1%)

Memory

-29.1MiB live, 208.3MiB allocated

Counts

55 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (.f64 b (.f64 b #s(literal 1/2 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (+ (* b (+ (* b 1/2) 1)) -2)) (.f64 b (.f64 b #s(literal 1/2 binary64)))))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a 1/2) -1)) 2) (.f64 #s(literal 1/2 binary64) (.f64 a a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (+ (* b (+ (* b 1/2) 1)) -2)) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/8 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* (* b b) 1/6) (+ (* b 1/2) 1)) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/6 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a 1/2) -1)) 2) (.f64 (.f64 a a) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) a)) a)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 #s(approx (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 b b) (.f64 b b)))) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b)) b)) (neg.f64 (.f64 b (*.f64 b b))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) b) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (.f64 b (*.f64 b b)))))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b (*.f64 b b))) #s(literal 1/6 binary64)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (/.f64 (fma.f64 a (.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -4 binary64)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b)) #s(literal -1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 b #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 (.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b)) #s(literal -1 binary64)) b) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) b) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (.f64 b b) (.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (/.f64 (fma.f64 (.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64))) (.f64 (.f64 a a) (.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 8 binary64)) (-.f64 (fma.f64 (.f64 a a) (.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 4 binary64)) (.f64 a (.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(pow.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64)) #s(literal 2 binary64))

Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Calls

5 calls:

16.0ms	a
16.0ms	b
13.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
13.0ms	(exp.f64 b)
12.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
98.8%	1	`a`
98.8%	1	`b`
98.8%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
98.8%	1	`(exp.f64 a)`
98.8%	1	`(exp.f64 b)`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes67.0ms (0.9%)

Memory

35.2MiB live, 195.2MiB allocated

Counts

51 → 2

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (.f64 b (.f64 b #s(literal 1/2 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (+ (* b (+ (* b 1/2) 1)) -2)) (.f64 b (.f64 b #s(literal 1/2 binary64)))))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a 1/2) -1)) 2) (.f64 #s(literal 1/2 binary64) (.f64 a a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (+ (* b (+ (* b 1/2) 1)) -2)) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/8 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* (* b b) 1/6) (+ (* b 1/2) 1)) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/6 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a 1/2) -1)) 2) (.f64 (.f64 a a) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) a)) a)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 #s(approx (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 b b) (.f64 b b)))) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b)) b)) (neg.f64 (.f64 b (*.f64 b b))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) b) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (.f64 b (*.f64 b b)))))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b (*.f64 b b))) #s(literal 1/6 binary64)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (/.f64 (fma.f64 a (.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -4 binary64)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b)) #s(literal -1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 b #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 (.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b)) #s(literal -1 binary64)) b) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) b) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (.f64 b b) (.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (/.f64 (fma.f64 (.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64))) (.f64 (.f64 a a) (.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 8 binary64)) (-.f64 (fma.f64 (.f64 a a) (.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 4 binary64)) (.f64 a (.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a)))

Outputs

#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))

#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))

Calls

5 calls:

15.0ms	b
14.0ms	a
12.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
12.0ms	(exp.f64 b)
11.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
98.2%	2	`a`
99.5%	3	`b`
86.0%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
98.2%	2	`(exp.f64 a)`
99.1%	3	`(exp.f64 b)`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes28.0ms (0.4%)

Memory

-37.8MiB live, 83.2MiB allocated

Counts

48 → 2

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (.f64 b (.f64 b #s(literal 1/2 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (+ (* b (+ (* b 1/2) 1)) -2)) (.f64 b (.f64 b #s(literal 1/2 binary64)))))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a 1/2) -1)) 2) (.f64 #s(literal 1/2 binary64) (.f64 a a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (+ (* b (+ (* b 1/2) 1)) -2)) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/8 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* (* b b) 1/6) (+ (* b 1/2) 1)) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/6 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a 1/2) -1)) 2) (.f64 (.f64 a a) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) a)) a)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 #s(approx (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 b b) (.f64 b b)))) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b)) b)) (neg.f64 (.f64 b (*.f64 b b))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) b) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (.f64 b (*.f64 b b)))))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b (*.f64 b b))) #s(literal 1/6 binary64)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (/.f64 (fma.f64 a (.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -4 binary64)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b)) #s(literal -1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 b #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 (.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b)) #s(literal -1 binary64)) b) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) b) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (.f64 b b) (.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (/.f64 (fma.f64 (.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64))) (.f64 (.f64 a a) (.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 8 binary64)) (-.f64 (fma.f64 (.f64 a a) (.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 4 binary64)) (.f64 a (.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))

Outputs

(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))

#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))

Calls

2 calls:

14.0ms	a
11.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
97.9%	2	`a`
97.9%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes52.0ms (0.7%)

Memory

31.3MiB live, 151.5MiB allocated

Counts

47 → 3

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (.f64 b (.f64 b #s(literal 1/2 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (+ (* b (+ (* b 1/2) 1)) -2)) (.f64 b (.f64 b #s(literal 1/2 binary64)))))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a 1/2) -1)) 2) (.f64 #s(literal 1/2 binary64) (.f64 a a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (+ (* b (+ (* b 1/2) 1)) -2)) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/8 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* (* b b) 1/6) (+ (* b 1/2) 1)) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/6 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a 1/2) -1)) 2) (.f64 (.f64 a a) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) a)) a)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 #s(approx (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 b b) (.f64 b b)))) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b)) b)) (neg.f64 (.f64 b (*.f64 b b))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) b) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (.f64 b (*.f64 b b)))))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b (*.f64 b b))) #s(literal 1/6 binary64)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (/.f64 (fma.f64 a (.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -4 binary64)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b)) #s(literal -1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 b #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 (.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b)) #s(literal -1 binary64)) b) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) b) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (.f64 b b) (.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (/.f64 (fma.f64 (.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64))) (.f64 (.f64 a a) (.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 8 binary64)) (-.f64 (fma.f64 (.f64 a a) (.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 4 binary64)) (.f64 a (.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))

Outputs

#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a 1/2) -1)) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))))))

#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (/.f64 (fma.f64 a (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -4 binary64)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -2 binary64))))))

#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))

Calls

4 calls:

14.0ms	b
14.0ms	a
11.0ms	(exp.f64 b)
10.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
91.5%	3	`(exp.f64 b)`
91.5%	3	`b`
93.4%	3	`a`
89.8%	2	`(exp.f64 a)`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes62.0ms (0.8%)

Memory

-19.6MiB live, 179.5MiB allocated

Counts

46 → 3

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (.f64 b (.f64 b #s(literal 1/2 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (+ (* b (+ (* b 1/2) 1)) -2)) (.f64 b (.f64 b #s(literal 1/2 binary64)))))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a 1/2) -1)) 2) (.f64 #s(literal 1/2 binary64) (.f64 a a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (+ (* b (+ (* b 1/2) 1)) -2)) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/8 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* (* b b) 1/6) (+ (* b 1/2) 1)) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/6 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a 1/2) -1)) 2) (.f64 (.f64 a a) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) a)) a)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 #s(approx (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 b b) (.f64 b b)))) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b)) b)) (neg.f64 (.f64 b (*.f64 b b))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) b) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (.f64 b (*.f64 b b)))))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b (*.f64 b b))) #s(literal 1/6 binary64)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (/.f64 (fma.f64 a (.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -4 binary64)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b)) #s(literal -1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 b #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 (.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b)) #s(literal -1 binary64)) b) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) b) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (.f64 b b) (.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (/.f64 (fma.f64 (.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64))) (.f64 (.f64 a a) (.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 8 binary64)) (-.f64 (fma.f64 (.f64 a a) (.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 4 binary64)) (.f64 a (.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))))))

Outputs

#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))))

#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))))))

#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))

Calls

5 calls:

13.0ms	a
13.0ms	b
11.0ms	(exp.f64 b)
11.0ms	(exp.f64 a)
11.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Accuracy	Segments	Branch
62.3%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
66.1%	2	`(exp.f64 a)`
68.8%	2	`(exp.f64 b)`
75.3%	3	`b`
69.0%	3	`a`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes16.0ms (0.2%)

Memory

7.4MiB live, 46.7MiB allocated

Counts

44 → 3

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (.f64 b (.f64 b #s(literal 1/2 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (+ (* b (+ (* b 1/2) 1)) -2)) (.f64 b (.f64 b #s(literal 1/2 binary64)))))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a 1/2) -1)) 2) (.f64 #s(literal 1/2 binary64) (.f64 a a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (+ (* b (+ (* b 1/2) 1)) -2)) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/8 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* (* b b) 1/6) (+ (* b 1/2) 1)) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/6 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a 1/2) -1)) 2) (.f64 (.f64 a a) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) a)) a)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 #s(approx (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 b b) (.f64 b b)))) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b)) b)) (neg.f64 (.f64 b (*.f64 b b))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) b) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (.f64 b (*.f64 b b)))))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b (*.f64 b b))) #s(literal 1/6 binary64)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (/.f64 (fma.f64 a (.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -4 binary64)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b)) #s(literal -1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 b #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 (.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b)) #s(literal -1 binary64)) b) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) b) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))

Outputs

#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))))

#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 (*.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b)) #s(literal -1 binary64)) b) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))

#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64)))))))

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
74.0%	3	`b`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.2%)

Memory

2.5MiB live, 44.1MiB allocated

Counts

42 → 3

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (.f64 b (.f64 b #s(literal 1/2 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (+ (* b (+ (* b 1/2) 1)) -2)) (.f64 b (.f64 b #s(literal 1/2 binary64)))))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a 1/2) -1)) 2) (.f64 #s(literal 1/2 binary64) (.f64 a a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (+ (* b (+ (* b 1/2) 1)) -2)) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/8 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* (* b b) 1/6) (+ (* b 1/2) 1)) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/6 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a 1/2) -1)) 2) (.f64 (.f64 a a) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) a)) a)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 #s(approx (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 b b) (.f64 b b)))) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b)) b)) (neg.f64 (.f64 b (*.f64 b b))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) b) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (.f64 b (*.f64 b b)))))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b (*.f64 b b))) #s(literal 1/6 binary64)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (/.f64 (fma.f64 a (.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -4 binary64)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b)) #s(literal -1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 b #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))

Outputs

#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))))

#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b)) #s(literal -1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))

#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64)))))))

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
73.2%	3	`b`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.2%)

Memory

2.8MiB live, 42.2MiB allocated

Counts

40 → 3

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (.f64 b (.f64 b #s(literal 1/2 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (+ (* b (+ (* b 1/2) 1)) -2)) (.f64 b (.f64 b #s(literal 1/2 binary64)))))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a 1/2) -1)) 2) (.f64 #s(literal 1/2 binary64) (.f64 a a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (+ (* b (+ (* b 1/2) 1)) -2)) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/8 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* (* b b) 1/6) (+ (* b 1/2) 1)) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/6 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a 1/2) -1)) 2) (.f64 (.f64 a a) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) a)) a)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 #s(approx (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 b b) (.f64 b b)))) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b)) b)) (neg.f64 (.f64 b (*.f64 b b))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) b) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (.f64 b (*.f64 b b)))))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b (*.f64 b b))) #s(literal 1/6 binary64)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (/.f64 (fma.f64 a (.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -4 binary64)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -2 binary64))))))

Outputs

#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))))

#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))))))

#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64)))))))

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
73.2%	3	`b`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.2%)

Memory

1.9MiB live, 41.2MiB allocated

Counts

38 → 3

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (.f64 b (.f64 b #s(literal 1/2 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (+ (* b (+ (* b 1/2) 1)) -2)) (.f64 b (.f64 b #s(literal 1/2 binary64)))))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a 1/2) -1)) 2) (.f64 #s(literal 1/2 binary64) (.f64 a a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (+ (* b (+ (* b 1/2) 1)) -2)) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/8 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* (* b b) 1/6) (+ (* b 1/2) 1)) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/6 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a 1/2) -1)) 2) (.f64 (.f64 a a) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) a)) a)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 #s(approx (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 b b) (.f64 b b)))) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b)) b)) (neg.f64 (.f64 b (*.f64 b b))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) b) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (.f64 b (*.f64 b b)))))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b (*.f64 b b))) #s(literal 1/6 binary64)))))))))

Outputs

#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))))

#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 #s(approx (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))))))

#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64)))))))

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
73.2%	3	`b`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.2%)

Memory

2.3MiB live, 41.8MiB allocated

Counts

32 → 2

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (.f64 b (.f64 b #s(literal 1/2 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (+ (* b (+ (* b 1/2) 1)) -2)) (.f64 b (.f64 b #s(literal 1/2 binary64)))))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a 1/2) -1)) 2) (.f64 #s(literal 1/2 binary64) (.f64 a a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (+ (* b (+ (* b 1/2) 1)) -2)) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/8 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* (* b b) 1/6) (+ (* b 1/2) 1)) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/6 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a 1/2) -1)) 2) (.f64 (.f64 a a) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) a)) a)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))

Outputs

#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))))

#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/6 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))))

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
69.5%	2	`b`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

-4.5MiB live, 37.1MiB allocated

Counts

28 → 2

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (.f64 b (.f64 b #s(literal 1/2 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (+ (* b (+ (* b 1/2) 1)) -2)) (.f64 b (.f64 b #s(literal 1/2 binary64)))))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a 1/2) -1)) 2) (.f64 #s(literal 1/2 binary64) (.f64 a a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (+ (* b (+ (* b 1/2) 1)) -2)) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/8 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* (* b b) 1/6) (+ (* b 1/2) 1)) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))))

Outputs

#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))))

#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
69.4%	2	`b`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes31.0ms (0.4%)

Memory

-11.9MiB live, 107.4MiB allocated

Counts

26 → 2

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (.f64 b (.f64 b #s(literal 1/2 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (+ (* b (+ (* b 1/2) 1)) -2)) (.f64 b (.f64 b #s(literal 1/2 binary64)))))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a 1/2) -1)) 2) (.f64 #s(literal 1/2 binary64) (.f64 a a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (+ (* b (+ (* b 1/2) 1)) -2)) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/8 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* (* b b) 1/6) (+ (* b 1/2) 1))) 2) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* (* b b) 1/6) (+ (* b 1/2) 1)) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))

Outputs

#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))

#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))

Calls

4 calls:

9.0ms	b
8.0ms	a
7.0ms	(exp.f64 a)
6.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
61.3%	2	`(exp.f64 a)`
63.4%	2	`a`
65.5%	2	`(exp.f64 b)`
65.7%	2	`b`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes15.0ms (0.2%)

Memory

4.0MiB live, 45.4MiB allocated

Counts

16 → 2

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (.f64 b (.f64 b #s(literal 1/2 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (+ (* b (+ (* b 1/2) 1)) -2)) (.f64 b (.f64 b #s(literal 1/2 binary64)))))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a 1/2) -1)) 2) (.f64 #s(literal 1/2 binary64) (.f64 a a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (+ (* b (+ (* b 1/2) 1)) -2)) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/8 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))

Outputs

#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))

#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64)))))))

Calls

3 calls:

5.0ms	b
5.0ms	(exp.f64 b)
4.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Accuracy	Segments	Branch
57.5%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
62.3%	2	`(exp.f64 b)`
63.5%	2	`b`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes19.0ms (0.2%)

Memory

17.2MiB live, 57.0MiB allocated

Counts

14 → 2

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (.f64 b (.f64 b #s(literal 1/2 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (+ (* b (+ (* b 1/2) 1)) -2)) (.f64 b (.f64 b #s(literal 1/2 binary64)))))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a 1/2) -1)) 2) (.f64 #s(literal 1/2 binary64) (.f64 a a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (+ (* b (+ (* b 1/2) 1)) -2)) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))

Outputs

#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a 1/2) -1)) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))))))

#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))

Calls

4 calls:

5.0ms	a
5.0ms	b
4.0ms	(exp.f64 b)
4.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
59.0%	2	`(exp.f64 a)`
53.9%	2	`(exp.f64 b)`
61.2%	2	`a`
53.9%	2	`b`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes13.0ms (0.2%)

Memory

-0.2MiB live, 39.5MiB allocated

Counts

13 → 3

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (.f64 b (.f64 b #s(literal 1/2 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (+ (* b (+ (* b 1/2) 1)) -2)) (.f64 b (.f64 b #s(literal 1/2 binary64)))))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a 1/2) -1)) 2) (.f64 #s(literal 1/2 binary64) (.f64 a a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (+ (* b (+ (* b 1/2) 1)) -2)) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))

Outputs

#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a 1/2) -1)) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))))))

#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))

#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))

Calls

3 calls:

5.0ms	a
4.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
57.4%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
57.6%	2	`(exp.f64 a)`
60.0%	3	`a`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes5.0ms (0.1%)

Memory

-24.1MiB live, 15.6MiB allocated

Counts

11 → 3

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (.f64 b (.f64 b #s(literal 1/2 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (+ (* b (+ (* b 1/2) 1)) -2)) (.f64 b (.f64 b #s(literal 1/2 binary64)))))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a 1/2) -1)) 2) (.f64 #s(literal 1/2 binary64) (.f64 a a))))))

Outputs

#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a 1/2) -1)) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))))))

#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64)))))))

#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
60.0%	3	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes18.0ms (0.2%)

Memory

14.2MiB live, 55.0MiB allocated

Counts

10 → 2

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (.f64 b (.f64 b #s(literal 1/2 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (+ (* b (+ (* b 1/2) 1)) -2)) (.f64 b (.f64 b #s(literal 1/2 binary64)))))))

Outputs

#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))

#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64)))))))

Calls

5 calls:

4.0ms	b
4.0ms	a
4.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms	(exp.f64 a)
3.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
53.5%	2	`(exp.f64 b)`
53.5%	2	`b`
53.2%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
49.6%	2	`(exp.f64 a)`
49.6%	2	`a`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes15.0ms (0.2%)

Memory

7.6MiB live, 47.4MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))

Outputs
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))

Calls

5 calls:

3.0ms	b
3.0ms	a
3.0ms	(exp.f64 b)
3.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
42.5%	1	`a`
42.5%	1	`(exp.f64 a)`
42.5%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
42.5%	1	`(exp.f64 b)`
42.5%	1	`b`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

-2.9MiB live, 36.9MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))

Outputs
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))

Calls

5 calls:

3.0ms	b
2.0ms	a
2.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms	(exp.f64 b)
2.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
41.7%	1	`(exp.f64 a)`
41.7%	1	`a`
41.7%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
41.7%	1	`(exp.f64 b)`
41.7%	1	`b`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

-10.4MiB live, 29.5MiB allocated

Accuracy

Total -24.4b remaining (-65.4%)

Threshold costs -24.4b (-65.4%)

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))

#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))

#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))

Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))

Calls

5 calls:

2.0ms	b
2.0ms	a
2.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms	(exp.f64 b)
1.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
41.7%	1	`(exp.f64 a)`
41.7%	1	`a`
41.7%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
41.7%	1	`b`
41.7%	1	`(exp.f64 b)`

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.000726193796786685	0.9047156182824595

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	4.112765609786339e-68

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch23.0ms (0.3%)

Memory

-17.0MiB live, 63.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
13.0ms	-4.2565902570977055e+36	-1.4187212675817983e+33
8.0ms	-4.4421864597756503e+154	-1.9870268380266073e+152

Samples

9.0ms	192×	0	valid
2.0ms	39×	0	exit

Compiler

Compiled 493 to 279 computations (43.4% saved)

Precisions

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

ival-exp: 3.0ms (52.1% of total)

ival-div: 1.0ms (17.4% of total)

ival-add: 1.0ms (17.4% of total)

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

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

bsearch25.0ms (0.3%)

Memory

28.4MiB live, 68.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	5.694437846970513e+102	4.7150381598204104e+111
10.0ms	6.114668479082555e-28	1.553524838719965e-26

Samples

12.0ms

256×

valid

Compiler

Compiled 875 to 432 computations (50.6% saved)

Precisions

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

ival-exp: 4.0ms (61.1% of total)

ival-div: 1.0ms (15.3% of total)

ival-add: 1.0ms (15.3% of total)

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

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

bsearch17.0ms (0.2%)

Memory

7.0MiB live, 46.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	1.782723065644656e+147	6.111154426659618e+154
10.0ms	2.9745574483891957e+56	6.18542533169731e+57

Samples

8.0ms

176×

valid

Compiler

Compiled 558 to 314 computations (43.7% saved)

Precisions

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

ival-exp: 2.0ms (44.9% of total)

ival-div: 1.0ms (22.5% of total)

ival-add: 1.0ms (22.5% of total)

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

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

bsearch3.0ms (0%)

Memory

-35.5MiB live, 5.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.782723065644656e+147	6.111154426659618e+154
2.0ms	2.9745574483891957e+56	6.18542533169731e+57

Compiler

Compiled 536 to 303 computations (43.5% saved)

bsearch9.0ms (0.1%)

Memory

24.3MiB live, 24.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	1.782723065644656e+147	6.111154426659618e+154
1.0ms	2.9745574483891957e+56	6.18542533169731e+57

Samples

4.0ms

80×

valid

Compiler

Compiled 713 to 407 computations (42.9% saved)

Precisions

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

ival-div: 1.0ms (47.1% of total)

ival-exp: 1.0ms (47.1% of total)

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

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

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

bsearch2.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.782723065644656e+147	6.111154426659618e+154
1.0ms	2.9745574483891957e+56	6.18542533169731e+57

Compiler

Compiled 649 to 391 computations (39.8% saved)

bsearch11.0ms (0.1%)

Memory

-10.2MiB live, 29.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	7.433691336917555e+90	1.0343036989134333e+93

Samples

6.0ms

112×

valid

Compiler

Compiled 279 to 186 computations (33.3% saved)

Precisions

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

ival-exp: 2.0ms (71.5% of total)

ival-div: 1.0ms (35.8% of total)

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

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

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

bsearch3.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	5.694437846970513e+102	4.7150381598204104e+111

Samples

1.0ms

16×

valid

Compiler

Compiled 301 to 200 computations (33.6% saved)

Precisions

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

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

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

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

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

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

bsearch4.0ms (0.1%)

Memory

-28.5MiB live, 11.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	5.694437846970513e+102	4.7150381598204104e+111

Samples

2.0ms

32×

valid

Compiler

Compiled 274 to 182 computations (33.6% saved)

Precisions

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

ival-exp: 1.0ms (72.4% of total)

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

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

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

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

bsearch10.0ms (0.1%)

Memory

29.4MiB live, 29.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.782723065644656e+147	6.111154426659618e+154

Samples

5.0ms

112×

valid

Compiler

Compiled 256 to 173 computations (32.4% saved)

Precisions

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

ival-exp: 2.0ms (69.7% of total)

ival-div: 1.0ms (34.9% of total)

ival-add: 1.0ms (34.9% of total)

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

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

bsearch15.0ms (0.2%)

Memory

3.0MiB live, 42.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-1.8381034280965306e+120	-1.8125432378505414e+117

Samples

6.0ms	128×	0	valid
1.0ms	26×	0	exit

Compiler

Compiled 229 to 147 computations (35.8% saved)

Precisions

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

ival-exp: 2.0ms (51.9% of total)

ival-div: 1.0ms (26% of total)

ival-add: 1.0ms (26% of total)

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

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

bsearch11.0ms (0.1%)

Memory

-13.1MiB live, 27.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	-155.16169062362292	-17.33686375603031
1.0ms	-1.8381034280965306e+120	-1.8125432378505414e+117

Samples

6.0ms

96×

valid

Compiler

Compiled 397 to 241 computations (39.3% saved)

Precisions

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

ival-exp: 3.0ms (79.5% of total)

ival-div: 1.0ms (26.5% of total)

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

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

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

bsearch3.0ms (0%)

Memory

9.4MiB live, 9.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	-155.16169062362292	-17.33686375603031
1.0ms	-1.8381034280965306e+120	-1.8125432378505414e+117

Samples

1.0ms

16×

valid

Compiler

Compiled 383 to 241 computations (37.1% saved)

Precisions

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

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

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

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

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

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

bsearch13.0ms (0.2%)

Memory

-6.5MiB live, 33.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.020049066519892942	219.26577610423334

Samples

6.0ms

128×

valid

Compiler

Compiled 197 to 131 computations (33.5% saved)

Precisions

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

ival-exp: 2.0ms (56% of total)

ival-div: 1.0ms (28% of total)

ival-add: 1.0ms (28% of total)

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

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

simplify21.0ms (0.3%)

Memory

-20.3MiB live, 59.2MiB allocated

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative_binary64`
12×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	223	1446
1	245	1446
2	248	1446
3	249	1446

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(if (<=.f64 a #s(literal -20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a 1/2) -1)) 2) (.f64 #s(literal 1/2 binary64) (.f64 a a)))))) (if (<=.f64 a #s(literal -4200000000000000089622305417069592576 binary64)) #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (/.f64 (fma.f64 a (.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -4 binary64)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -2 binary64)))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))))
(if (<=.f64 b #s(literal 5400961727769135/348449143727040986586495598010130648530944 binary64)) #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))) (if (<=.f64 b #s(literal 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (.f64 b b) (.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))))
(if (<=.f64 b #s(literal 6099999999999999754818649127963791041855031644229631737856 binary64)) #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))) (if (<=.f64 b #s(literal 10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 (.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b)) #s(literal -1 binary64)) b) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ ( b (+ (* b 1/2) 1)) 2) (.f64 b (.f64 b #s(literal 1/2 binary64)))))))))
(if (<=.f64 b #s(literal 6099999999999999754818649127963791041855031644229631737856 binary64)) #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))) (if (<=.f64 b #s(literal 10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b)) #s(literal -1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (.f64 b (.f64 b #s(literal 1/2 binary64)))))))))
(if (<=.f64 b #s(literal 6099999999999999754818649127963791041855031644229631737856 binary64)) #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))) (if (<=.f64 b #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (.f64 b (.f64 b #s(literal 1/2 binary64)))))))))
(if (<=.f64 b #s(literal 6099999999999999754818649127963791041855031644229631737856 binary64)) #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))) (if (<=.f64 b #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 #s(approx (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 b b) (.f64 b b)))) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (.f64 b (.f64 b #s(literal 1/2 binary64)))))))))
(if (<=.f64 b #s(literal 1020000000000000055824051837843189337113197692319768883354607731686895553093233133951463194624 binary64)) #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/6 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))))
(if (<=.f64 b #s(literal 9499999999999999222481735058820725545439976674105979945221792112937755675195530152576548158474312220672 binary64)) #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b))))))))
(if (<=.f64 b #s(literal 8199999999999999936136817877458420892109672340083240075380004692139275667998471495976616867881738567680 binary64)) #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b))))))))
(if (<=.f64 b #s(literal 15500000000000001065774348727042225933865500007478443205990605846109914766951141499831288376172534092030102022432413510758517012882813886574995343147008 binary64)) #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (.f64 b (.f64 b #s(literal 1/2 binary64))))))))
(if (<=.f64 a #s(literal -1800000000000000078681173824813137707544894112318962372567816419709446533208813675182764787298226795059524590832222994432 binary64)) #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a 1/2) -1)) 2) (.f64 #s(literal 1/2 binary64) (.f64 a a)))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -1800000000000000078681173824813137707544894112318962372567816419709446533208813675182764787298226795059524590832222994432 binary64)) #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a 1/2) -1)) 2) (.f64 #s(literal 1/2 binary64) (.f64 a a)))))) (if (<=.f64 a #s(literal -19 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b))))) #s(approx (pow (pow ( (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))))
(if (<=.f64 a #s(literal -1800000000000000078681173824813137707544894112318962372567816419709446533208813675182764787298226795059524590832222994432 binary64)) #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a 1/2) -1)) 2) (.f64 #s(literal 1/2 binary64) (.f64 a a)))))) (if (<=.f64 a #s(literal -18 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (.f64 b (.f64 b #s(literal 1/2 binary64))))))) #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))))
(if (<=.f64 b #s(literal 8782019273372467/4503599627370496 binary64)) #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (.f64 b (.f64 b #s(literal 1/2 binary64))))))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))

Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(if (<=.f64 (exp.f64 a) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
(if (<=.f64 a #s(literal -20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a 1/2) -1)) 2) (.f64 #s(literal 1/2 binary64) (.f64 a a)))))) (if (<=.f64 a #s(literal -4200000000000000089622305417069592576 binary64)) #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (/.f64 (fma.f64 a (.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -4 binary64)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -2 binary64)))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))))
(if (<=.f64 a #s(literal -20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a 1/2) -1)) 2) (.f64 #s(literal 1/2 binary64) (.f64 a a)))))) (if (<=.f64 a #s(literal -4200000000000000089622305417069592576 binary64)) #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (/.f64 (fma.f64 a (.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -4 binary64)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -2 binary64)))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))))
(if (<=.f64 b #s(literal 5400961727769135/348449143727040986586495598010130648530944 binary64)) #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))) (if (<=.f64 b #s(literal 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (.f64 b b) (.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))))
(if (<=.f64 b #s(literal 5400961727769135/348449143727040986586495598010130648530944 binary64)) #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))) (if (<=.f64 b #s(literal 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (.f64 b b) (.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 (*.f64 b b) #s(literal 1/6 binary64)))))))))
(if (<=.f64 b #s(literal 6099999999999999754818649127963791041855031644229631737856 binary64)) #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))) (if (<=.f64 b #s(literal 10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 (.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b)) #s(literal -1 binary64)) b) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ ( b (+ (* b 1/2) 1)) 2) (.f64 b (.f64 b #s(literal 1/2 binary64)))))))))
(if (<=.f64 b #s(literal 6099999999999999754818649127963791041855031644229631737856 binary64)) #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))) (if (<=.f64 b #s(literal 10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 (.f64 b (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ ( b (+ (* b 1/2) 1)) 2) (.f64 b (.f64 b #s(literal 1/2 binary64)))))))))
(if (<=.f64 b #s(literal 6099999999999999754818649127963791041855031644229631737856 binary64)) #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))) (if (<=.f64 b #s(literal 10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b)) #s(literal -1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (.f64 b (.f64 b #s(literal 1/2 binary64)))))))))
(if (<=.f64 b #s(literal 6099999999999999754818649127963791041855031644229631737856 binary64)) #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))) (if (<=.f64 b #s(literal 10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (.f64 b (.f64 b #s(literal 1/2 binary64)))))))))
(if (<=.f64 b #s(literal 6099999999999999754818649127963791041855031644229631737856 binary64)) #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))) (if (<=.f64 b #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (.f64 b (.f64 b #s(literal 1/2 binary64)))))))))
(if (<=.f64 b #s(literal 6099999999999999754818649127963791041855031644229631737856 binary64)) #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))) (if (<=.f64 b #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 #s(approx (+ (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b))) -4) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 b b) (.f64 b b)))) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (.f64 b (.f64 b #s(literal 1/2 binary64)))))))))
(if (<=.f64 b #s(literal 1020000000000000055824051837843189337113197692319768883354607731686895553093233133951463194624 binary64)) #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/6 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))))
(if (<=.f64 b #s(literal 9499999999999999222481735058820725545439976674105979945221792112937755675195530152576548158474312220672 binary64)) #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b))))))))
(if (<=.f64 b #s(literal 9499999999999999222481735058820725545439976674105979945221792112937755675195530152576548158474312220672 binary64)) #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 (*.f64 b b) #s(literal 1/6 binary64))))))))
(if (<=.f64 b #s(literal 8199999999999999936136817877458420892109672340083240075380004692139275667998471495976616867881738567680 binary64)) #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b))))))))
(if (<=.f64 b #s(literal 8199999999999999936136817877458420892109672340083240075380004692139275667998471495976616867881738567680 binary64)) #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 (*.f64 b b) #s(literal 1/6 binary64))))))))
(if (<=.f64 b #s(literal 15500000000000001065774348727042225933865500007478443205990605846109914766951141499831288376172534092030102022432413510758517012882813886574995343147008 binary64)) #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (.f64 b (.f64 b #s(literal 1/2 binary64))))))))
(if (<=.f64 a #s(literal -1800000000000000078681173824813137707544894112318962372567816419709446533208813675182764787298226795059524590832222994432 binary64)) #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a 1/2) -1)) 2) (.f64 #s(literal 1/2 binary64) (.f64 a a)))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -1800000000000000078681173824813137707544894112318962372567816419709446533208813675182764787298226795059524590832222994432 binary64)) #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a 1/2) -1)) 2) (.f64 #s(literal 1/2 binary64) (.f64 a a)))))) (if (<=.f64 a #s(literal -19 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b))))) #s(approx (pow (pow ( (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))))
(if (<=.f64 a #s(literal -1800000000000000078681173824813137707544894112318962372567816419709446533208813675182764787298226795059524590832222994432 binary64)) #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a 1/2) -1)) 2) (.f64 #s(literal 1/2 binary64) (.f64 a a)))))) (if (<=.f64 a #s(literal -18 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (.f64 b (.f64 b #s(literal 1/2 binary64))))))) #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))))
(if (<=.f64 b #s(literal 8782019273372467/4503599627370496 binary64)) #s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (.f64 b (.f64 b #s(literal 1/2 binary64))))))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (pow (pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2) 2) #s(approx (/ 1 (+ 1 (exp (neg a)))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))

soundness1.4s (18.8%)

Memory

30.4MiB live, 1 790.7MiB allocated

Rules

18 438×	`lower-fma.f64`
18 438×	`lower-fma.f32`
12 762×	`lower-fma.f64`
12 762×	`lower-fma.f32`
11 204×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	238
0	58	236
1	252	233
2	1712	233
0	8358	233
0	363	4830
1	1034	4363
2	2920	4240
0	8485	4052
0	6	17
0	10	17
1	32	17
2	203	17
3	1936	17
0	8631	17
0	252	4051
1	710	3611
2	2053	3501
3	7465	3501
0	8009	3346
0	54	357
0	86	355
1	366	289
2	2639	289
0	9478	275
0	120	740
1	332	725
2	963	708
3	3702	677
0	8342	640
0	454	6293
1	1371	5503
2	4475	5279
0	8489	5071

Stop Event

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

Compiler

Compiled 1 730 to 874 computations (49.5% saved)

preprocess161.0ms (2.1%)

Memory: -5.9MiB live, 431.1MiB allocated
Compiler: Compiled 1 370 to 316 computations (76.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze5.0ms (0.1%)

sample1.1s (14.6%)

explain72.0ms (0.9%)

preprocess87.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize22.0ms (0.3%)

series7.0ms (0.1%)

simplify320.0ms (4.2%)

rewrite254.0ms (3.3%)

eval47.0ms (0.6%)

prune73.0ms (1%)

simplify174.0ms (2.3%)

localize97.0ms (1.3%)

series57.0ms (0.7%)

simplify297.0ms (3.9%)

rewrite226.0ms (2.9%)

eval174.0ms (2.3%)

prune159.0ms (2.1%)

simplify91.0ms (1.2%)

localize114.0ms (1.5%)

series19.0ms (0.2%)

simplify246.0ms (3.2%)

rewrite232.0ms (3%)

eval88.0ms (1.1%)

prune121.0ms (1.6%)

simplify304.0ms (4%)

localize144.0ms (1.9%)

series24.0ms (0.3%)

simplify257.0ms (3.3%)

rewrite292.0ms (3.8%)

eval121.0ms (1.6%)

prune149.0ms (1.9%)

regimes74.0ms (1%)

regimes67.0ms (0.9%)

regimes28.0ms (0.4%)

regimes52.0ms (0.7%)

regimes62.0ms (0.8%)

regimes16.0ms (0.2%)

regimes15.0ms (0.2%)

regimes14.0ms (0.2%)

regimes14.0ms (0.2%)

regimes12.0ms (0.2%)

regimes11.0ms (0.1%)

regimes31.0ms (0.4%)

regimes15.0ms (0.2%)

regimes19.0ms (0.2%)

regimes13.0ms (0.2%)

regimes5.0ms (0.1%)

regimes18.0ms (0.2%)

regimes15.0ms (0.2%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch23.0ms (0.3%)

bsearch25.0ms (0.3%)

bsearch17.0ms (0.2%)

bsearch3.0ms (0%)

bsearch9.0ms (0.1%)

bsearch2.0ms (0%)

bsearch11.0ms (0.1%)

bsearch3.0ms (0%)

bsearch4.0ms (0.1%)

bsearch10.0ms (0.1%)

bsearch15.0ms (0.2%)

bsearch11.0ms (0.1%)

bsearch3.0ms (0%)

bsearch13.0ms (0.2%)

simplify21.0ms (0.3%)

soundness1.4s (18.8%)

preprocess161.0ms (2.1%)

end0.0ms (0%)

Profiling