Metrics for Quotient of sum of exps

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze6.0ms (0.1%)

Memory

-30.0MiB live, 17.7MiB 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)

sample949.0ms (13.3%)

Memory

37.5MiB live, 3 106.0MiB allocated

Samples

415.0ms	8 256×	0	valid
152.0ms	2 958×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 311.0ms

ival-exp: 168.0ms (54.1% of total)

ival-div: 74.0ms (23.8% of total)

ival-add: 56.0ms (18% of total)

ival-true: 8.0ms (2.6% of total)

ival-assert: 5.0ms (1.6% of total)

Bogosity

explain75.0ms (1.1%)

Memory

-29.3MiB live, 254.3MiB 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	3	0
↳	`(exp.f64 a)`	overflow	3
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	overflow	89
↳	`(exp.f64 a)`	overflow	3
↳	`(exp.f64 b)`	overflow	87

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: 15.0ms

ival-exp: 8.0ms (54.3% of total)

ival-div: 4.0ms (27.2% of total)

ival-add: 3.0ms (20.4% of total)

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

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

preprocess85.0ms (1.2%)

Memory

24.3MiB live, 64.1MiB 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: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

2.4MiB live, 2.4MiB 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)

simplify4.0ms (0.1%)

Memory

-29.2MiB live, 10.4MiB 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

localize21.0ms (0.3%)

Memory

31.5MiB live, 71.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 b)
accuracy	0	(exp.f64 a)
accuracy	0.01953125	(+.f64 (exp.f64 a) (exp.f64 b))
accuracy	0.7382853760724644	(/.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: 7.0ms

ival-exp: 4.0ms (57.1% of total)

ival-div: 2.0ms (28.5% of total)

ival-add: 1.0ms (14.3% of total)

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

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

series10.0ms (0.1%)

Memory

-10.2MiB live, 30.4MiB 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
4.0ms	a	@	-inf	(/ (exp a) (+ (exp a) (exp b)))
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)))

simplify267.0ms (3.7%)

Memory

18.1MiB live, 690.6MiB 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)

rewrite239.0ms (3.3%)

Memory

-5.7MiB live, 633.4MiB 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)))))))
(+.f64 (.f64 (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))) (.f64 (neg.f64 (exp.f64 b)) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) a) #s(literal -1 binary64)))
(exp.f64 (+.f64 a (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64))))
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(/.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 (0.7%)

Memory: 3.4MiB live, 160.6MiB allocated
Compiler: Compiled 11 216 to 1 164 computations (89.6% saved)

prune90.0ms (1.3%)

Memory

-23.1MiB live, 270.8MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	406	7	413
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	407	7	414

Accuracy

99.7%

Counts

414 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.3%	(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))
	68.3%	(/.f64 (exp.f64 a) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 (.f64 a #s(literal 3 binary64))))) (+.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (+.f64 a a)) (.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 a)))))) (exp.f64 b)))
▶	98.8%	(/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b)))
▶	63.5%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
▶	65.6%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
▶	83.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
▶	63.8%	#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 212 to 142 computations (33% saved)

simplify167.0ms (2.3%)

Memory

-13.2MiB live, 306.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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) (+.f64 #s(literal 1 binary64) b))
cost-diff	0	(+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))
cost-diff	0	(exp.f64 a)
cost-diff	6080	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
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	(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))
cost-diff	0	(exp.f64 a)
cost-diff	832	(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
cost-diff	12608	(/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b)))

Rules

5 094×	`lower-fma.f64`
5 094×	`lower-fma.f32`
2 448×	`lower-*.f32`
2 446×	`lower-*.f64`
1 302×	`lower-/.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	32	201
0	54	196
1	74	192
2	98	192
3	168	192
4	287	192
5	561	188
6	1086	188
7	1638	188
8	2978	188
9	5025	188
10	6435	188
11	7411	188
0	8005	188

Stop Event

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

Calls

Call 1

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

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

localize87.0ms (1.2%)

Memory

15.0MiB live, 295.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(*.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	0.7421957531524757	(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
accuracy	22.670211789551956	#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	0.01953125	(+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))
accuracy	0.7382853760724644	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
accuracy	31.810887706243793	#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
accuracy	0	(exp.f64 a)
accuracy	0.01953125	(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
accuracy	0.7382853760724644	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
accuracy	32.61215445957804	#s(approx (exp b) #s(literal 1 binary64))
accuracy	0	(exp.f64 b)
accuracy	0.015625	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
accuracy	0.01953125	(+.f64 #s(literal 1 binary64) (exp.f64 b))
accuracy	10.893009077271705	#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	0.0078125	(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
accuracy	0.01953125	(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))
accuracy	0.7382853760724644	(/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b)))

Samples

44.0ms

256×

valid

Compiler

Compiled 161 to 24 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-div: 9.0ms (33% of total)

ival-add: 7.0ms (25.7% of total)

ival-exp: 7.0ms (25.7% of total)

ival-neg: 2.0ms (7.3% of total)

ival-mult: 1.0ms (3.7% of total)

ival-sub: 1.0ms (3.7% of total)

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

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

exact: 0.0ms (0% of total)

series35.0ms (0.5%)

Memory

-6.4MiB live, 112.6MiB allocated

Counts

19 → 360

Calls

Call 1

Inputs
#s(alt (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) #<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 a) (patch (exp.f64 a) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b)) (patch (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b)) #<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 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) #<representation binary64>) () ())
#s(alt (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))) (patch (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))) #<representation binary64>) () ())
#s(alt #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (patch #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #<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 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 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.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 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.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 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.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 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp b) (/ 1 (exp (neg a))))) (taylor inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp b) (/ 1 (exp (neg a))))) (taylor inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp b) (/ 1 (exp (neg a))))) (taylor inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp b) (/ 1 (exp (neg a))))) (taylor inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp b) (/ 1 (exp (* -1 a))))) (taylor -inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp b) (/ 1 (exp (* -1 a))))) (taylor -inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp b) (/ 1 (exp (* -1 a))))) (taylor -inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp b) (/ 1 (exp (* -1 a))))) (taylor -inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ 1 (/ 1 (exp (neg a))))) (taylor 0 b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (/ 1 (exp (neg a)))) 2))) (/ (exp a) (+ 1 (/ 1 (exp (neg a)))))) (taylor 0 b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (/ 1 (exp (neg a)))) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (/ 1 (exp (neg a)))) 2)))))) (/ (exp a) (pow (+ 1 (/ 1 (exp (neg a)))) 2)))) (/ (exp a) (+ 1 (/ 1 (exp (neg a)))))) (taylor 0 b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (/ 1 (exp (neg a)))) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (/ 1 (exp (neg a)))) 2)))) (+ 1 (/ 1 (exp (neg a)))))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (/ 1 (exp (neg a)))) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (/ 1 (exp (neg a)))) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (/ 1 (exp (neg a)))) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (/ 1 (exp (neg a)))) 2)))))) (/ (exp a) (pow (+ 1 (/ 1 (exp (neg a)))) 2)))) (/ (exp a) (+ 1 (/ 1 (exp (neg a)))))) (taylor 0 b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp b) (/ 1 (exp (neg a))))) (taylor inf b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp b) (/ 1 (exp (neg a))))) (taylor inf b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp b) (/ 1 (exp (neg a))))) (taylor inf b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp b) (/ 1 (exp (neg a))))) (taylor inf b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp b) (/ 1 (exp (neg a))))) (taylor -inf b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp b) (/ 1 (exp (neg a))))) (taylor -inf b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp b) (/ 1 (exp (neg a))))) (taylor -inf b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp b) (/ 1 (exp (neg a))))) (taylor -inf b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt 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 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 (+ 1 (* a (+ 1 (* 1/2 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 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 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 (/ 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>) () ())) ())
#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>) () ())) ())
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#s(alt (+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (* 1/8 b)))))) (taylor 0 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 (+ (* -1/2 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)))))))))) (taylor 0 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>) () ())) ())
#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>) () ())) ())
#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

90 calls:

Time	Variable		Point	Expression
3.0ms	a	@	-inf	(* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a))))
2.0ms	a	@	inf	(/ (exp a) (+ 1 (exp a)))
2.0ms	a	@	inf	(/ (exp a) (+ (/ 1 (exp (neg a))) (exp b)))
2.0ms	b	@	0	(/ 1 (+ 1 (exp b)))
2.0ms	a	@	0	(* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a))))

simplify224.0ms (3.1%)

Memory

16.1MiB live, 611.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 234×	`lower-fma.f64`
10 234×	`lower-fma.f32`
4 342×	`lower-+.f64`
4 342×	`lower-+.f32`
3 058×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	296	4967
1	879	4252
2	2999	4021
0	8671	3874

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

rewrite242.0ms (3.4%)

Memory

16.0MiB live, 657.4MiB allocated

Rules

5 072×	`lower-/.f32`
5 058×	`lower-/.f64`
3 848×	`lower-*.f32`
3 846×	`lower-*.f64`
3 790×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	163
0	54	162
1	214	154
2	1629	154
0	8395	154

Stop Event

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

Counts

19 → 516

Calls

Call 1

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

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

eval130.0ms (1.8%)

Memory: -3.5MiB live, 435.0MiB allocated
Compiler: Compiled 21 125 to 1 904 computations (91% saved)

prune135.0ms (1.9%)

Memory

-19.0MiB live, 502.8MiB allocated

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	1 096	14	1 110
Fresh	2	0	2
Picked	2	3	5
Done	0	0	0
Total	1 100	17	1 117

Accuracy

99.7%

Counts

1 117 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.6%	(/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(approx (exp b) #s(literal 1 binary64))))
✓	63.5%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
✓	65.6%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
	64.4%	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
▶	82.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
✓	83.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
	54.0%	#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)))))
	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 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
▶	33.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
	33.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) #s(approx (/ (exp a) (+ 1 (exp a))) (fma.f64 a (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
	32.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
	32.2%	#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))))
	33.1%	#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))))
▶	35.1%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
	33.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
▶	33.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
▶	33.2%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))

Compiler

Compiled 459 to 289 computations (37% saved)

simplify212.0ms (3%)

Memory

17.4MiB live, 534.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	384	(fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))
cost-diff	384	(fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64)))
cost-diff	384	(fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64))
cost-diff	960	(-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64))))
cost-diff	0	(fma.f64 a (fma.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/4 binary64)) (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 (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
cost-diff	192	(-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 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	(+.f64 #s(literal 1 binary64) (exp.f64 b))
cost-diff	0	(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
cost-diff	12224	(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))

Rules

15 402×	`lower-fma.f32`
15 380×	`lower-fma.f64`
4 344×	`lower-+.f32`
4 340×	`lower-+.f64`
2 174×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	526
0	90	527
1	170	485
2	401	452
3	1209	414
4	6060	358
0	8266	354

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
#s(literal 1 binary64)
(exp.f64 b)
b
#s(literal -1/2 binary64)
#s(literal 2 binary64)
#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))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(fma.f64 a (fma.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
a
(fma.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/4 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))
#s(literal 0 binary64)
(*.f64 b #s(literal -1/16 binary64))
b
#s(literal -1/16 binary64)
#s(literal 1/4 binary64)
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
a
(fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64))
(fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64))
#s(literal 1/2 binary64)
(fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64)))
b
#s(literal -7/48 binary64)
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal -1/24 binary64)
(fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))
#s(literal -1/48 binary64)
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))
#s(literal 0 binary64)
(*.f64 b #s(literal -1/16 binary64))
#s(literal -1/16 binary64)
#s(literal 1/16 binary64)
#s(literal 1/4 binary64)
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
#s(literal -1/4 binary64)

Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 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))))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
#s(literal 1 binary64)
(exp.f64 b)
b
#s(literal -1/2 binary64)
#s(literal 2 binary64)
#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))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (*.f64 b #s(literal 1/16 binary64)) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (*.f64 b #s(literal 1/16 binary64)) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(fma.f64 a (fma.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 a (fma.f64 a (*.f64 b #s(literal 1/16 binary64)) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
a
(fma.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/4 binary64))
(fma.f64 a (*.f64 b #s(literal 1/16 binary64)) #s(literal 1/4 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))
(*.f64 b #s(literal 1/16 binary64))
#s(literal 0 binary64)
(*.f64 b #s(literal -1/16 binary64))
b
#s(literal -1/16 binary64)
#s(literal 1/4 binary64)
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/48 binary64) (*.f64 b #s(literal 1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/48 binary64) (*.f64 b #s(literal 1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/48 binary64) (*.f64 b #s(literal 1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
a
(fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64))
(fma.f64 a (fma.f64 a #s(literal -1/48 binary64) (*.f64 b #s(literal 1/16 binary64))) #s(literal 1/4 binary64))
(fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))))
(fma.f64 a #s(literal -1/48 binary64) (*.f64 b #s(literal 1/16 binary64)))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64))))
#s(literal -1/48 binary64)
(fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64))
(fma.f64 b #s(literal 1/96 binary64) #s(literal 1/24 binary64))
#s(literal 1/2 binary64)
(fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64)))
(fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64))
b
#s(literal -7/48 binary64)
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal -1/24 binary64)
(fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))
(fma.f64 b #s(literal 1/96 binary64) #s(literal 1/16 binary64))
#s(literal -1/48 binary64)
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64))
(fma.f64 b #s(literal 1/32 binary64) #s(literal 1/16 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))
(*.f64 b #s(literal 1/16 binary64))
#s(literal 0 binary64)
(*.f64 b #s(literal -1/16 binary64))
#s(literal -1/16 binary64)
#s(literal 1/16 binary64)
#s(literal 1/4 binary64)
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
#s(literal -1/4 binary64)

localize224.0ms (3.1%)

Memory

5.0MiB live, 729.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.30196638677341403	(fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64)))
accuracy	11.183588270077948	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
accuracy	11.814461104899879	(-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64))))
accuracy	12.370553359671986	#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
accuracy	0	(*.f64 b #s(literal -1/16 binary64))
accuracy	0.01953125	(fma.f64 a (fma.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
accuracy	11.183588270077948	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
accuracy	12.458975231615808	#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 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	10.893009077271705	#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	12.81851971770485	#s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))
accuracy	10.893009077271705	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
accuracy	11.206537198446066	#s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))
accuracy	0.00390625	(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64))
accuracy	0.01953125	(+.f64 #s(literal 1 binary64) (exp.f64 b))
accuracy	0.46875	(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy	10.893009077271705	#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))

Samples

59.0ms	81×	1	exit
57.0ms	133×	0	valid
40.0ms	42×	1	valid

Compiler

Compiled 389 to 58 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 122.0ms

adjust: 29.0ms (23.7% of total)

ival-mult: 22.0ms (18% of total)

ival-add: 21.0ms (17.2% of total)

const: 16.0ms (13.1% of total)

ival-pow: 12.0ms (9.8% of total)

ival-div: 8.0ms (6.5% of total)

ival-exp: 5.0ms (4.1% of total)

ival-sub: 4.0ms (3.3% of total)

ival-pow2: 4.0ms (3.3% of total)

exact: 1.0ms (0.8% of total)

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

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

series37.0ms (0.5%)

Memory

3.0MiB live, 121.0MiB allocated

Counts

21 → 348

Calls

Call 1

Inputs
#s(alt (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #<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 #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 (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) (patch (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx ( (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) (patch #s(approx ( (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 a (fma.f64 a (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (patch (fma.f64 a (fma.f64 a (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (patch (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (patch (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64))) (patch (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64))) #<representation binary64>) () ())
#s(alt (.f64 b #s(literal -1/16 binary64)) (patch (.f64 b #s(literal -1/16 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) (patch #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) #<representation binary64>) () ())

Outputs
#s(alt 1/2 (taylor 0 b) (#s(alt (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/4 b)) (taylor 0 b) (#s(alt (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))) (taylor 0 b) (#s(alt (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))) (taylor 0 b) (#s(alt (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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Calls

87 calls:

Time	Variable		Point	Expression
4.0ms	b	@	inf	(pow (+ 1 (exp b)) -1/2)
2.0ms	b	@	0	(- (+ (* 1/2 (+ (* b -7/48) (+ (* b 1/6) 1/6))) -1/24) (+ (* b -1/48) (+ (* 1/2 (- 0 (* b -1/16))) 1/16)))
1.0ms	b	@	inf	(- (+ (* 1/2 (+ (* b -7/48) (+ (* b 1/6) 1/6))) -1/24) (+ (* b -1/48) (+ (* 1/2 (- 0 (* b -1/16))) 1/16)))
1.0ms	b	@	inf	(+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2))
1.0ms	b	@	-inf	(pow (+ 1 (exp b)) -1/2)

simplify341.0ms (4.8%)

Memory

-26.0MiB live, 853.7MiB allocated

Algorithm

1×	egg-herbie

Rules

21 184×	`lower-fma.f64`
21 184×	`lower-fma.f32`
6 432×	`lower-+.f64`
6 432×	`lower-+.f32`
4 120×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	288	4895
1	863	4643
2	2696	4275
0	8920	4076

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 346

Calls

Call 1

Inputs
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))))
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(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (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)))

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 b))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(fma.f64 b (fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 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 a (+.f64 (/.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))))
(+ (* 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 (+.f64 (fma.f64 a (+.f64 (+.f64 (/.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 3 binary64)))) (/.f64 #s(literal -3/2 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)))) (/.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 (+ 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 (+.f64 (fma.f64 a (+.f64 (fma.f64 a (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) #s(literal 2/3 binary64) (fma.f64 #s(literal 1/2 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 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64))))))) (+.f64 (/.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 3 binary64))))) (/.f64 #s(literal -3/2 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)))) (/.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))))
(/ (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))))
(fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (neg.f64 b) (/.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 (neg.f64 b) (fma.f64 b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 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 b (-.f64 (neg.f64 (.f64 (fma.f64 b (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/6 binary64)) (neg.f64 (/.f64 (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64)))) b)) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 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)))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* -1/8 (/ b (sqrt 1/2))))
(fma.f64 b (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* b (- (* -1/128 (/ b (pow (sqrt 1/2) 3))) (* 1/8 (/ 1 (sqrt 1/2))))))
(fma.f64 b (fma.f64 (/.f64 b (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/64 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* b (- (* b (- (* 1/2 (/ (* b (- 1/48 (* 1/512 (/ 1 (pow (sqrt 1/2) 4))))) (sqrt 1/2))) (* 1/128 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (sqrt 1/2))))))
(fma.f64 b (fma.f64 b (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/512 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) #s(literal 1/96 binary64)) (/.f64 b (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 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 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 2 (* 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 2 binary64))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(/ 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 a (+.f64 (/.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))))
(+ (* 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 (+.f64 (fma.f64 a (+.f64 (+.f64 (/.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 3 binary64)))) (/.f64 #s(literal -3/2 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)))) (/.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 (+ 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 (+.f64 (fma.f64 a (+.f64 (fma.f64 a (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) #s(literal 2/3 binary64) (fma.f64 #s(literal 1/2 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 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64))))))) (+.f64 (/.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 3 binary64))))) (/.f64 #s(literal -3/2 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)))) (/.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))))
(/ (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))))
(fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (neg.f64 b) (/.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))))
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(fma.f64 b #s(literal 1/96 binary64) #s(literal 1/16 binary64))
(* b (+ 1/96 (* 1/16 (/ 1 b))))
(fma.f64 b #s(literal 1/96 binary64) #s(literal 1/16 binary64))
(* b (+ 1/96 (* 1/16 (/ 1 b))))
(fma.f64 b #s(literal 1/96 binary64) #s(literal 1/16 binary64))
(* -1/16 b)
(*.f64 b #s(literal -1/16 binary64))
(* -1/16 b)
(*.f64 b #s(literal -1/16 binary64))
(* -1/16 b)
(*.f64 b #s(literal -1/16 binary64))
(* -1/16 b)
(*.f64 b #s(literal -1/16 binary64))
(* -1/16 b)
(*.f64 b #s(literal -1/16 binary64))
(* -1/16 b)
(*.f64 b #s(literal -1/16 binary64))
(* -1/16 b)
(*.f64 b #s(literal -1/16 binary64))
(* -1/16 b)
(*.f64 b #s(literal -1/16 binary64))
(* -1/16 b)
(*.f64 b #s(literal -1/16 binary64))
(* -1/16 b)
(*.f64 b #s(literal -1/16 binary64))
(* -1/16 b)
(*.f64 b #s(literal -1/16 binary64))
(* -1/16 b)
(*.f64 b #s(literal -1/16 binary64))
(/ (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))))
(fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (neg.f64 b) (/.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))))
(fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (neg.f64 b) (/.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))))
(fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (neg.f64 b) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))
(/.f64 (*.f64 (exp.f64 a) (neg.f64 b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))
(*.f64 b (-.f64 (/.f64 (exp.f64 a) (fma.f64 b (exp.f64 a) b)) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))
(*.f64 b (-.f64 (/.f64 (exp.f64 a) (fma.f64 b (exp.f64 a) b)) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))
(*.f64 b (-.f64 (/.f64 (exp.f64 a) (fma.f64 b (exp.f64 a) b)) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))
(/.f64 (*.f64 (exp.f64 a) (neg.f64 b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
(*.f64 b (-.f64 (/.f64 (exp.f64 a) (fma.f64 b (exp.f64 a) b)) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
(*.f64 b (-.f64 (/.f64 (exp.f64 a) (fma.f64 b (exp.f64 a) b)) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
(*.f64 b (-.f64 (/.f64 (exp.f64 a) (fma.f64 b (exp.f64 a) b)) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))
(* 1/2 (+ 1 (* -1/2 b)))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))
(fma.f64 #s(literal -1/4 binary64) b (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))
(fma.f64 a (fma.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (+ (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (* a (- (* 1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/8 b) (+ (* -1/16 b) (+ (* 1/24 b) (+ (* 1/6 (+ 1 (* -1/2 b))) (* 1/4 b))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))
(fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 b #s(literal -7/48 binary64) #s(literal 1/6 binary64)) (.f64 b #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (+.f64 #s(literal 3/16 binary64) (neg.f64 (fma.f64 #s(literal -1/32 binary64) b #s(literal 1/8 binary64)))))) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ 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 a (+.f64 (/.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))))
(+ (* 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 (+.f64 (fma.f64 a (+.f64 (+.f64 (/.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 3 binary64)))) (/.f64 #s(literal -3/2 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)))) (/.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 (+ 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 (+.f64 (fma.f64 a (+.f64 (fma.f64 a (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) #s(literal 2/3 binary64) (fma.f64 #s(literal 1/2 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 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64))))))) (+.f64 (/.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 3 binary64))))) (/.f64 #s(literal -3/2 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)))) (/.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))))
(/ (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))))
(fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (neg.f64 b) (/.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 (neg.f64 b) (fma.f64 b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 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 b (-.f64 (neg.f64 (.f64 (fma.f64 b (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/6 binary64)) (neg.f64 (/.f64 (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64)))) b)) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 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)))

rewrite363.0ms (5.1%)

Memory

37.8MiB live, 950.3MiB allocated

Rules

7 770×	`lower-*.f32`
7 768×	`lower-*.f64`
4 278×	`lower-/.f32`
4 276×	`lower-/.f64`
3 494×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	362
0	90	348
1	439	328
2	3879	328
0	11497	323

Stop Event

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

Counts

21 → 429

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
#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))
(-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(fma.f64 a (fma.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64))
(fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64)))
(fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))
(*.f64 b #s(literal -1/16 binary64))
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))

Outputs
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64)))
(exp.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (log1p.f64 (exp.f64 b)))))
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 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 b)))) #s(literal 1 binary64)))
(neg.f64 (/.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) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 b)))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 b))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 b)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 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 b))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 b)))))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 b)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3/4 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/4 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3/4 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/4 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 3 binary64))))) (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 3 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))) (-.f64 #s(literal 1 binary64) (exp.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 3 binary64))))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 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))))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) #s(literal -1/4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -1/4 binary64) (log1p.f64 (exp.f64 b))) #s(literal 2 binary64)))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)) #s(literal -1/4 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log1p.f64 (exp.f64 b)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/4 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 3 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(exp.f64 (log1p.f64 (exp.f64 b)))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (log1p.f64 (exp.f64 b))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(fma.f64 #s(literal 1 binary64) (exp.f64 b) #s(literal 1 binary64))
(fma.f64 (exp.f64 b) #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 b))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 3 binary64)))) (.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))) (-.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (neg.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.f64 (exp.f64 (log1p.f64 (exp.f64 (.f64 b #s(literal 3 binary64))))) (exp.f64 (log1p.f64 (.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 b b))))) (exp.f64 (log1p.f64 (neg.f64 (exp.f64 b)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (exp.f64 (+.f64 b b)))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))))
#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)))))
(exp.f64 (*.f64 (log.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))) #s(literal -1 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 (neg.f64 #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 (neg.f64 (neg.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) (neg.f64 #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 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 #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)))
(pow.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 b #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) b)
(-.f64 (/.f64 (*.f64 b b) (+.f64 b #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 b #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 b b #s(literal 4 binary64)) (.f64 b #s(literal 2 binary64))) (fma.f64 b (.f64 b b) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 b b #s(literal -4 binary64))))
(/.f64 (fma.f64 b (.f64 b b) #s(literal 8 binary64)) (-.f64 (fma.f64 b b #s(literal 4 binary64)) (.f64 b #s(literal 2 binary64))))
(/.f64 (fma.f64 b (.f64 b b) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 b b) (*.f64 b #s(literal 2 binary64)))))
(/.f64 (fma.f64 b b #s(literal -4 binary64)) (+.f64 b #s(literal -2 binary64)))
(/.f64 (neg.f64 (fma.f64 b (.f64 b b) #s(literal 8 binary64))) (neg.f64 (-.f64 (fma.f64 b b #s(literal 4 binary64)) (.f64 b #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 b b #s(literal -4 binary64))) (neg.f64 (+.f64 b #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 b b)) (-.f64 #s(literal 2 binary64) b))
(/.f64 (-.f64 (.f64 (.f64 b b) (+.f64 b #s(literal -2 binary64))) (.f64 (+.f64 b #s(literal -2 binary64)) #s(literal 4 binary64))) (.f64 (+.f64 b #s(literal -2 binary64)) (+.f64 b #s(literal -2 binary64))))
(pow.f64 (/.f64 (-.f64 (fma.f64 b b #s(literal 4 binary64)) (.f64 b #s(literal 2 binary64))) (fma.f64 b (.f64 b b) #s(literal 8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 b b #s(literal -4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 b (.f64 b b) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b #s(literal 2 binary64)))))
(*.f64 (fma.f64 b b #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal -2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 b #s(literal 1/16 binary64)))
(+.f64 (*.f64 b #s(literal 1/16 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 binary64) (.f64 b b))) (*.f64 b #s(literal 1/16 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) (/.f64 (.f64 #s(literal 1/256 binary64) (.f64 b b)) (.f64 b #s(literal -1/16 binary64))))
(fma.f64 b #s(literal 1/16 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1/16 binary64) (neg.f64 b) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 b #s(literal -1/16 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/16 binary64) b #s(literal 0 binary64))
(fma.f64 (neg.f64 b) #s(literal -1/16 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal 1/4096 binary64) (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/256 binary64) (*.f64 b b))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 #s(literal 1/256 binary64) (.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 0 binary64))
(neg.f64 (*.f64 b #s(literal -1/16 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/256 binary64) (.f64 b b)) (.f64 #s(literal 1/4096 binary64) (.f64 b (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 b #s(literal -1/16 binary64)) (neg.f64 (.f64 #s(literal 1/256 binary64) (*.f64 b b)))))
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(pow.f64 (/.f64 (-.f64 (.f64 b #s(literal -1/48 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/16 binary64)) #s(literal 1/16 binary64))) (-.f64 (.f64 (.f64 b b) #s(literal 1/2304 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/16 binary64)) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/16 binary64)) #s(literal 1/16 binary64))))) #s(literal -1 binary64))
(.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/16 binary64)) #s(literal 1/16 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/16 binary64)) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/16 binary64)) #s(literal 1/16 binary64))) (.f64 (.f64 b (.f64 b b)) #s(literal -1/110592 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/16 binary64)) #s(literal 1/16 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/16 binary64)) #s(literal 1/16 binary64)) (.f64 b #s(literal -1/48 binary64))) (.f64 (*.f64 b b) #s(literal 1/2304 binary64)))))
(.f64 (-.f64 (.f64 (.f64 b b) #s(literal 1/2304 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/16 binary64)) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/16 binary64)) #s(literal 1/16 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b #s(literal -1/48 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/16 binary64)) #s(literal 1/16 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))
(+.f64 (*.f64 b #s(literal -1/16 binary64)) #s(literal 0 binary64))
(fma.f64 b #s(literal -1/16 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1/16 binary64) b #s(literal 0 binary64))
(/.f64 (.f64 #s(literal 1/4096 binary64) (.f64 b (.f64 b b))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(literal 1/256 binary64) (*.f64 b b)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 1/256 binary64) (.f64 b b))) (*.f64 b #s(literal 1/16 binary64)))
(*.f64 b #s(literal -1/16 binary64))
(*.f64 #s(literal -1/16 binary64) b)
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)) (-.f64 #s(literal -1/24 binary64) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/16 binary64)) #s(literal 1/16 binary64))))) (.f64 b #s(literal 1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)) (-.f64 #s(literal -1/24 binary64) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/16 binary64)) #s(literal 1/16 binary64))))) (.f64 b #s(literal 1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))

eval150.0ms (2.1%)

Memory: -30.3MiB live, 492.3MiB allocated
Compiler: Compiled 36 118 to 2 733 computations (92.4% saved)

prune119.0ms (1.7%)

Memory

-14.8MiB live, 432.5MiB allocated

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	895	10	905
Fresh	4	5	9
Picked	3	2	5
Done	0	3	3
Total	902	20	922

Accuracy

99.7%

Counts

922 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.6%	(/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(approx (exp b) #s(literal 1 binary64))))
✓	63.5%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
✓	65.6%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
	64.4%	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
	34.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (+ 1 (exp b)) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
✓	83.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
	54.0%	#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)))))
	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 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
✓	33.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
	33.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) #s(approx (/ (exp a) (+ 1 (exp a))) (fma.f64 a (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
▶	32.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
	32.2%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
	33.1%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
✓	35.1%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
	32.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)) (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)))) (.f64 (-.f64 #s(literal -1/24 binary64) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/16 binary64)) #s(literal 1/16 binary64)))) (-.f64 #s(literal -1/24 binary64) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/16 binary64)) #s(literal 1/16 binary64)))))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/48 binary64)) #s(literal 1/12 binary64)) (-.f64 #s(literal -1/24 binary64) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/16 binary64)) #s(literal 1/16 binary64)))))) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
▶	20.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 binary64) (.f64 b b))) (.f64 b #s(literal 1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
	33.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a #s(approx (- (+ (* 1/2 (+ (* b -7/48) (+ (* b 1/6) 1/6))) -1/24) (+ (* b -1/48) (+ (* 1/2 (- 0 (* b -1/16))) 1/16))) #s(literal -1/48 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
▶	35.2%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
▶	3.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))))
	11.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (.f64 #s(literal 1/16 binary64) (*.f64 a a))))))

Compiler

Compiled 653 to 378 computations (42.1% saved)

simplify222.0ms (3.1%)

Memory

2.6MiB live, 599.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	384	(fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))
cost-diff	384	(fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64)))
cost-diff	384	(fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64))
cost-diff	1344	(/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 binary64) (.f64 b b)))
cost-diff	0	(fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))
cost-diff	0	(fma.f64 b (fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
cost-diff	0	(.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64)))
cost-diff	0	#s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))
cost-diff	0	#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64)))))
cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))))
cost-diff	0	(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
cost-diff	0	(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(approx (exp b) #s(literal 1 binary64)))
cost-diff	0	(exp.f64 a)
cost-diff	0	(/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(approx (exp b) #s(literal 1 binary64))))
cost-diff	832	(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))

Rules

13 458×	`lower-fma.f32`
13 430×	`lower-fma.f64`
5 102×	`lower-+.f32`
5 100×	`lower-+.f64`
2 808×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	754
0	127	691
1	260	641
2	613	612
3	1834	573
0	8283	551

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 a)
a
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(approx (exp b) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
#s(literal 1 binary64)
(exp.f64 (neg.f64 a))
(neg.f64 a)
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
#s(literal 1/4 binary64)
a
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))))
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64)))))
#s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))
(.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64)))
b
(fma.f64 #s(literal 1/16 binary64) (*.f64 a a) #s(literal -1/4 binary64))
#s(literal 1/16 binary64)
(*.f64 a a)
a
#s(literal -1/4 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 b (fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
b
(fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))
(*.f64 b b)
(fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64))
(*.f64 b #s(literal -1/480 binary64))
#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))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 binary64) (.f64 b b))) (.f64 b #s(literal 1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 binary64) (.f64 b b))) (.f64 b #s(literal 1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 binary64) (.f64 b b))) (.f64 b #s(literal 1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
a
(fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 binary64) (.f64 b b))) (.f64 b #s(literal 1/16 binary64)))) #s(literal 1/4 binary64))
(fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 binary64) (.f64 b b))) (.f64 b #s(literal 1/16 binary64))))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64))
#s(literal 1/2 binary64)
(fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64)))
b
#s(literal -7/48 binary64)
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal -1/24 binary64)
(fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))
#s(literal -1/48 binary64)
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))
#s(literal 0 binary64)
(*.f64 b #s(literal -1/16 binary64))
#s(literal -1/16 binary64)
#s(literal 1/16 binary64)
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 binary64) (.f64 b b))) (*.f64 b #s(literal 1/16 binary64)))
(/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 binary64) (.f64 b b)))
(.f64 #s(literal 1/256 binary64) (.f64 b b))
#s(literal 1/256 binary64)
(*.f64 b b)
(*.f64 b #s(literal 1/16 binary64))
#s(literal 1/4 binary64)
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
#s(literal -1/4 binary64)

Outputs
(/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)))
(exp.f64 a)
a
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(approx (exp b) #s(literal 1 binary64)))
(+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(exp.f64 a)
#s(literal 1 binary64)
(exp.f64 (neg.f64 a))
(neg.f64 a)
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
#s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
#s(literal 1/4 binary64)
a
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64))))))
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64)))))
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)))))
#s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))
#s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64))))
(.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64)))
(.f64 b (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)))
b
(fma.f64 #s(literal 1/16 binary64) (*.f64 a a) #s(literal -1/4 binary64))
(fma.f64 a (*.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64))
#s(literal 1/16 binary64)
(*.f64 a a)
a
#s(literal -1/4 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 b (fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
b
(fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))
(*.f64 b b)
(fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64))
(*.f64 b #s(literal -1/480 binary64))
#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))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 binary64) (.f64 b b))) (.f64 b #s(literal 1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (fma.f64 b #s(literal -1/96 binary64) (fma.f64 b #s(literal 1/96 binary64) #s(literal -1/48 binary64))) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 binary64) (.f64 b b))) (.f64 b #s(literal 1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (fma.f64 b #s(literal -1/96 binary64) (fma.f64 b #s(literal 1/96 binary64) #s(literal -1/48 binary64))) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 binary64) (.f64 b b))) (.f64 b #s(literal 1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 a (fma.f64 a (fma.f64 a (fma.f64 b #s(literal -1/96 binary64) (fma.f64 b #s(literal 1/96 binary64) #s(literal -1/48 binary64))) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
a
(fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 binary64) (.f64 b b))) (.f64 b #s(literal 1/16 binary64)))) #s(literal 1/4 binary64))
(fma.f64 a (fma.f64 a (fma.f64 b #s(literal -1/96 binary64) (fma.f64 b #s(literal 1/96 binary64) #s(literal -1/48 binary64))) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/4 binary64))
(fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 binary64) (.f64 b b))) (.f64 b #s(literal 1/16 binary64))))
(fma.f64 a (fma.f64 b #s(literal -1/96 binary64) (fma.f64 b #s(literal 1/96 binary64) #s(literal -1/48 binary64))) (*.f64 b #s(literal -1/16 binary64)))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64))))
(fma.f64 b #s(literal -1/96 binary64) (fma.f64 b #s(literal 1/96 binary64) #s(literal -1/48 binary64)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64))
(fma.f64 b #s(literal 1/96 binary64) #s(literal 1/24 binary64))
#s(literal 1/2 binary64)
(fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64)))
(fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64))
b
#s(literal -7/48 binary64)
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal -1/24 binary64)
(fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))
(fma.f64 b #s(literal 1/96 binary64) #s(literal 1/16 binary64))
#s(literal -1/48 binary64)
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64))
(fma.f64 b #s(literal 1/32 binary64) #s(literal 1/16 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))
(*.f64 b #s(literal 1/16 binary64))
#s(literal 0 binary64)
(*.f64 b #s(literal -1/16 binary64))
#s(literal -1/16 binary64)
#s(literal 1/16 binary64)
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 binary64) (.f64 b b))) (*.f64 b #s(literal 1/16 binary64)))
(*.f64 b #s(literal -1/16 binary64))
(/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 binary64) (.f64 b b)))
#s(literal 0 binary64)
(.f64 #s(literal 1/256 binary64) (.f64 b b))
(.f64 b (.f64 b #s(literal 1/256 binary64)))
#s(literal 1/256 binary64)
(*.f64 b b)
(*.f64 b #s(literal 1/16 binary64))
#s(literal 1/4 binary64)
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
#s(literal -1/4 binary64)

localize282.0ms (4%)

Memory

-1.6MiB live, 919.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	11.183588270077948	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 binary64) (.f64 b b))) (.f64 b #s(literal 1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
accuracy	11.814461104899879	(-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64))))
accuracy	12.454645953985796	#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 binary64) (.f64 b b))) (.f64 b #s(literal 1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
accuracy	13.781172942365593	(/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 binary64) (.f64 b b)))
accuracy	0.03515625	(fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))
accuracy	0.05859375	(*.f64 b #s(literal -1/480 binary64))
accuracy	10.893009077271705	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
accuracy	12.294253448626318	#s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
accuracy	3.9990502458556922	(.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64)))
accuracy	11.183588270077948	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))))
accuracy	12.458975231615808	#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64)))))
accuracy	25.85251381893048	#s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))
accuracy	0	(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
accuracy	11.183588270077948	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
accuracy	12.458975231615808	#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
accuracy	17.640776585491384	#s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
accuracy	0.00390625	(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
accuracy	0.01953125	(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(approx (exp b) #s(literal 1 binary64)))
accuracy	0.7382853760724644	(/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(approx (exp b) #s(literal 1 binary64))))
accuracy	12.994966959578027	#s(approx (exp b) #s(literal 1 binary64))

Samples

78.0ms	133×	0	valid
59.0ms	81×	1	exit
50.0ms	42×	1	valid

Compiler

Compiled 508 to 81 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 149.0ms

ival-mult: 41.0ms (27.6% of total)

ival-add: 28.0ms (18.8% of total)

const: 22.0ms (14.8% of total)

adjust: 19.0ms (12.8% of total)

ival-div: 11.0ms (7.4% of total)

ival-pow: 9.0ms (6.1% of total)

ival-exp: 7.0ms (4.7% of total)

ival-sub: 6.0ms (4% of total)

ival-pow2: 3.0ms (2% of total)

exact: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

series36.0ms (0.5%)

Memory

2.5MiB live, 122.5MiB allocated

Counts

25 → 444

Calls

Call 1

Inputs
#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 (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.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 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))) (patch #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))) (patch #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64)))))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64)))))) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))) (patch #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64)))) (patch #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))) (patch (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) (patch #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) (patch (fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 binary64) (.f64 b b))) (patch (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 binary64) (.f64 b b))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (patch (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64))) (patch (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 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 b #s(literal -1/480 binary64)) (patch (.f64 b #s(literal -1/480 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 binary64) (.f64 b b))) (.f64 b #s(literal 1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) (patch #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 binary64) (.f64 b b))) (.f64 b #s(literal 1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (patch (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 binary64) (.f64 b b))) (.f64 b #s(literal 1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 binary64) (.f64 b b))) (.f64 b #s(literal 1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) #<representation binary64>) () ())

Outputs
#s(alt 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 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 (+ 1 (* a (+ 1 (* 1/2 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 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 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 (/ 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>) () ())) ())
#s(alt (/ 1 (+ 1 (exp b))) (taylor 0 a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(approx (exp b) #s(literal 1 binary64)))) #<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 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(approx (exp b) #s(literal 1 binary64)))) #<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 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(approx (exp b) #s(literal 1 binary64)))) #<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 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp b) (/ 1 (exp (neg a))))) (taylor inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp b) (/ 1 (exp (neg a))))) (taylor inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) (taylor -inf a) (#s(alt #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))) (patch #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) (taylor -inf a) (#s(alt #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))) (patch #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) (taylor -inf a) (#s(alt #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))) (patch #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (* 1/16 (* a b)))))) (taylor 0 a) (#s(alt #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))) (patch #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/16 (* (pow a 2) b)) (taylor inf a) (#s(alt #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))) (patch #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ 1/2 (* 1/4 a)) (taylor 0 b) (#s(alt #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))) (patch #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ 1/2 (+ (* 1/4 a) (* b (- (* 1/16 (pow a 2)) 1/4)))) (taylor 0 b) (#s(alt #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))) (patch #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* b (- (* 1/16 (pow a 2)) 1/4)) (taylor inf b) (#s(alt #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))) (patch #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf b) (#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64)))))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf b) (#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64)))))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf b) (#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64)))))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf b) (#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64)))))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ 1 (exp a))) (taylor 0 b) (#s(alt #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))) (patch #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) (taylor 0 b) (#s(alt #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))) (patch #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) (taylor 0 b) (#s(alt #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))) (patch #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) (taylor 0 b) (#s(alt #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))) (patch #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (taylor inf b) (#s(alt #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))) (patch #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) (taylor inf b) (#s(alt #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))) (patch #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) (taylor inf b) (#s(alt #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))) (patch #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) (taylor inf b) (#s(alt #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))) (patch #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (taylor -inf b) (#s(alt #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))) (patch #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2))))) (taylor -inf b) (#s(alt #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))) (patch #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2))))) (taylor -inf b) (#s(alt #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))) (patch #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2))))) (taylor -inf b) (#s(alt #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))) (patch #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ 1 (* -1/2 b))) (taylor 0 a) (#s(alt #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))) (patch #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b)))))) (taylor 0 a) (#s(alt #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))) (patch #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b)))))) (taylor 0 a) (#s(alt #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))) (patch #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (+ (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (* a (- (* 1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/8 b) (+ (* -1/16 b) (+ (* 1/24 b) (+ (* 1/6 (+ 1 (* -1/2 b))) (* 1/4 b))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b)))))) (taylor 0 a) (#s(alt #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))) (patch #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) (taylor inf a) (#s(alt #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))) (patch #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) (taylor inf a) (#s(alt #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))) (patch #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf b) (#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 binary64) (.f64 b b))) (.f64 b #s(literal 1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 binary64) (.f64 b b))) (.f64 b #s(literal 1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf b) (#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 binary64) (.f64 b b))) (.f64 b #s(literal 1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 binary64) (.f64 b b))) (.f64 b #s(literal 1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())

Calls

111 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(* b (+ (* 1/16 (* a a)) -1/4))
0.0ms	a	@	inf	(* b (+ (* 1/16 (* a a)) -1/4))
0.0ms	b	@	-inf	(+ (* b (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4)) 1/2)
0.0ms	b	@	inf	(+ (* b (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4)) 1/2)
0.0ms	b	@	inf	(* b (+ (* 1/16 (* a a)) -1/4))

simplify249.0ms (3.5%)

Memory

23.0MiB live, 656.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 038×	`lower-fma.f64`
11 038×	`lower-fma.f32`
5 694×	`lower-+.f64`
5 694×	`lower-+.f32`
3 756×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	356	6754
1	1054	5966
2	3453	5426
0	8587	5137

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

Inputs
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(/ 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 (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 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) (+ 1 (/ 1 (exp (neg a)))))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (/ 1 (exp (neg a)))) 2))) (/ (exp a) (+ 1 (/ 1 (exp (neg a))))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (/ 1 (exp (neg a)))) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (/ 1 (exp (neg a)))) 2)))))) (/ (exp a) (pow (+ 1 (/ 1 (exp (neg a)))) 2)))) (/ (exp a) (+ 1 (/ 1 (exp (neg a))))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (/ 1 (exp (neg a)))) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (/ 1 (exp (neg a)))) 2)))) (+ 1 (/ 1 (exp (neg a)))))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (/ 1 (exp (neg a)))) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (/ 1 (exp (neg a)))) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (/ 1 (exp (neg a)))) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (/ 1 (exp (neg a)))) 2)))))) (/ (exp a) (pow (+ 1 (/ 1 (exp (neg a)))) 2)))) (/ (exp a) (+ 1 (/ 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 (exp (neg a)))))
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 b) (/ 1 (exp (neg a))))
(+ (exp b) (/ 1 (exp (neg a))))
(+ (exp b) (/ 1 (exp (neg a))))
(+ (exp b) (/ 1 (exp (neg a))))
(+ (exp b) (/ 1 (exp (* -1 a))))
(+ (exp b) (/ 1 (exp (* -1 a))))
(+ (exp b) (/ 1 (exp (* -1 a))))
(+ (exp b) (/ 1 (exp (* -1 a))))
(+ 1 (/ 1 (exp (neg a))))
(+ 1 (+ b (/ 1 (exp (neg a)))))
(+ 1 (+ (* b (+ 1 (* 1/2 b))) (/ 1 (exp (neg a)))))
(+ 1 (+ (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))) (/ 1 (exp (neg a)))))
(+ (exp b) (/ 1 (exp (neg a))))
(+ (exp b) (/ 1 (exp (neg a))))
(+ (exp b) (/ 1 (exp (neg a))))
(+ (exp b) (/ 1 (exp (neg a))))
(+ (exp b) (/ 1 (exp (neg a))))
(+ (exp b) (/ 1 (exp (neg a))))
(+ (exp b) (/ 1 (exp (neg a))))
(+ (exp b) (/ 1 (exp (neg 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)))
(/ (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)))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (+ (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (* a (- (* 1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/8 b) (+ (* -1/16 b) (+ (* 1/24 b) (+ (* 1/6 (+ 1 (* -1/2 b))) (* 1/4 b))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(+ 1/2 (* -1/4 b))
(+ 1/2 (+ (* -1/4 b) (* 1/4 a)))
(+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (* 1/16 (* a b))))))
(+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (* 1/16 (* a b))))))
(* 1/16 (* (pow a 2) b))
(* (pow a 2) (+ (* 1/16 b) (* 1/4 (/ 1 a))))
(* (pow a 2) (+ (* -1/4 (/ b (pow a 2))) (+ (* 1/16 b) (+ (/ 1/2 (pow a 2)) (* 1/4 (/ 1 a))))))
(* (pow a 2) (+ (* -1/4 (/ b (pow a 2))) (+ (* 1/16 b) (+ (/ 1/2 (pow a 2)) (* 1/4 (/ 1 a))))))
(* 1/16 (* (pow a 2) b))
(* (pow a 2) (+ (* 1/16 b) (* 1/4 (/ 1 a))))
(* (pow a 2) (+ (* -1 (/ (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4) a)) (* 1/16 b)))
(* (pow a 2) (+ (* -1 (/ (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4) a)) (* 1/16 b)))
(+ 1/2 (* 1/4 a))
(+ 1/2 (+ (* 1/4 a) (* b (- (* 1/16 (pow a 2)) 1/4))))
(+ 1/2 (+ (* 1/4 a) (* b (- (* 1/16 (pow a 2)) 1/4))))
(+ 1/2 (+ (* 1/4 a) (* b (- (* 1/16 (pow a 2)) 1/4))))
(* b (- (* 1/16 (pow a 2)) 1/4))
(* b (- (+ (* 1/16 (pow a 2)) (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b)))) 1/4))
(* b (- (+ (* 1/16 (pow a 2)) (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b)))) 1/4))
(* b (- (+ (* 1/16 (pow a 2)) (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b)))) 1/4))
(* -1 (* b (+ 1/4 (* -1/16 (pow a 2)))))
(* -1 (* b (+ 1/4 (+ (* -1 (/ (+ 1/2 (* 1/4 a)) b)) (* -1/16 (pow a 2))))))
(* -1 (* b (+ 1/4 (+ (* -1 (/ (+ 1/2 (* 1/4 a)) b)) (* -1/16 (pow a 2))))))
(* -1 (* b (+ 1/4 (+ (* -1 (/ (+ 1/2 (* 1/4 a)) b)) (* -1/16 (pow a 2))))))
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* 1/4 a))
(+ 1/2 (* 1/4 a))
(* 1/4 a)
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* 1/4 a)
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 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)))
(/ (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)))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (+ (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (* a (- (* 1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/8 b) (+ (* -1/16 b) (+ (* 1/24 b) (+ (* 1/6 (+ 1 (* -1/2 b))) (* 1/4 b))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(+ 1/2 (* -1/4 b))
(+ 1/2 (+ (* -1/4 b) (* 1/4 a)))
(+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (* 1/16 (* a b))))))
(+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (* 1/16 (* a b))))))
(* 1/16 (* (pow a 2) b))
(* (pow a 2) (+ (* 1/16 b) (* 1/4 (/ 1 a))))
(* (pow a 2) (+ (* -1/4 (/ b (pow a 2))) (+ (* 1/16 b) (+ (/ 1/2 (pow a 2)) (* 1/4 (/ 1 a))))))
(* (pow a 2) (+ (* -1/4 (/ b (pow a 2))) (+ (* 1/16 b) (+ (/ 1/2 (pow a 2)) (* 1/4 (/ 1 a))))))
(* 1/16 (* (pow a 2) b))
(* (pow a 2) (+ (* 1/16 b) (* 1/4 (/ 1 a))))
(* (pow a 2) (+ (* -1 (/ (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4) a)) (* 1/16 b)))
(* (pow a 2) (+ (* -1 (/ (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4) a)) (* 1/16 b)))
(+ 1/2 (* 1/4 a))
(+ 1/2 (+ (* 1/4 a) (* b (- (* 1/16 (pow a 2)) 1/4))))
(+ 1/2 (+ (* 1/4 a) (* b (- (* 1/16 (pow a 2)) 1/4))))
(+ 1/2 (+ (* 1/4 a) (* b (- (* 1/16 (pow a 2)) 1/4))))
(* b (- (* 1/16 (pow a 2)) 1/4))
(* b (- (+ (* 1/16 (pow a 2)) (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b)))) 1/4))
(* b (- (+ (* 1/16 (pow a 2)) (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b)))) 1/4))
(* b (- (+ (* 1/16 (pow a 2)) (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b)))) 1/4))
(* -1 (* b (+ 1/4 (* -1/16 (pow a 2)))))
(* -1 (* b (+ 1/4 (+ (* -1 (/ (+ 1/2 (* 1/4 a)) b)) (* -1/16 (pow a 2))))))
(* -1 (* b (+ 1/4 (+ (* -1 (/ (+ 1/2 (* 1/4 a)) b)) (* -1/16 (pow a 2))))))
(* -1 (* b (+ 1/4 (+ (* -1 (/ (+ 1/2 (* 1/4 a)) b)) (* -1/16 (pow a 2))))))
(* b (- (* 1/16 (pow a 2)) 1/4))
(* b (- (* 1/16 (pow a 2)) 1/4))
(* b (- (* 1/16 (pow a 2)) 1/4))
(* b (- (* 1/16 (pow a 2)) 1/4))
(* b (- (* 1/16 (pow a 2)) 1/4))
(* b (- (* 1/16 (pow a 2)) 1/4))
(* b (- (* 1/16 (pow a 2)) 1/4))
(* b (- (* 1/16 (pow a 2)) 1/4))
(* b (- (* 1/16 (pow a 2)) 1/4))
(* b (- (* 1/16 (pow a 2)) 1/4))
(* b (- (* 1/16 (pow a 2)) 1/4))
(* b (- (* 1/16 (pow a 2)) 1/4))
(* -1/4 b)
(+ (* -1/4 b) (* 1/16 (* (pow a 2) b)))
(+ (* -1/4 b) (* 1/16 (* (pow a 2) b)))
(+ (* -1/4 b) (* 1/16 (* (pow a 2) b)))
(* 1/16 (* (pow a 2) b))
(* (pow a 2) (+ (* -1/4 (/ b (pow a 2))) (* 1/16 b)))
(* (pow a 2) (+ (* -1/4 (/ b (pow a 2))) (* 1/16 b)))
(* (pow a 2) (+ (* -1/4 (/ b (pow a 2))) (* 1/16 b)))
(* 1/16 (* (pow a 2) b))
(* (pow a 2) (+ (* -1/4 (/ b (pow a 2))) (* 1/16 b)))
(* (pow a 2) (+ (* -1/4 (/ b (pow a 2))) (* 1/16 b)))
(* (pow a 2) (+ (* -1/4 (/ b (pow a 2))) (* 1/16 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)))
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)))
(* -1/480 (pow b 5))
(* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* (pow b 5) (- (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* -1/480 (pow b 5))
(* -1 (* (pow b 5) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))
(* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))
(* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))))))
-1/4
(- (* 1/48 (pow b 2)) 1/4)
(- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)
(- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)
(* -1/480 (pow b 4))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* -1/480 (pow b 4))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
0
0
0
0
0
0
0
0
0
0
0
0
1/24
(+ 1/24 (* 1/96 b))
(+ 1/24 (* 1/96 b))
(+ 1/24 (* 1/96 b))
(* 1/96 b)
(* b (+ 1/96 (* 1/24 (/ 1 b))))
(* b (+ 1/96 (* 1/24 (/ 1 b))))
(* b (+ 1/96 (* 1/24 (/ 1 b))))
(* 1/96 b)
(* b (+ 1/96 (* 1/24 (/ 1 b))))
(* b (+ 1/96 (* 1/24 (/ 1 b))))
(* b (+ 1/96 (* 1/24 (/ 1 b))))
1/6
(+ 1/6 (* 1/48 b))
(+ 1/6 (* 1/48 b))
(+ 1/6 (* 1/48 b))
(* 1/48 b)
(* b (+ 1/48 (* 1/6 (/ 1 b))))
(* b (+ 1/48 (* 1/6 (/ 1 b))))
(* b (+ 1/48 (* 1/6 (/ 1 b))))
(* 1/48 b)
(* b (+ 1/48 (* 1/6 (/ 1 b))))
(* b (+ 1/48 (* 1/6 (/ 1 b))))
(* b (+ 1/48 (* 1/6 (/ 1 b))))
1/16
(+ 1/16 (* 1/96 b))
(+ 1/16 (* 1/96 b))
(+ 1/16 (* 1/96 b))
(* 1/96 b)
(* b (+ 1/96 (* 1/16 (/ 1 b))))
(* b (+ 1/96 (* 1/16 (/ 1 b))))
(* b (+ 1/96 (* 1/16 (/ 1 b))))
(* 1/96 b)
(* b (+ 1/96 (* 1/16 (/ 1 b))))
(* b (+ 1/96 (* 1/16 (/ 1 b))))
(* b (+ 1/96 (* 1/16 (/ 1 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)
(* -1/480 b)
(* -1/480 b)
(* -1/480 b)
(* -1/480 b)
(* -1/480 b)
(* -1/480 b)
(* -1/480 b)
(* -1/480 b)
(* -1/480 b)
(* -1/480 b)
(* -1/480 b)
(* -1/480 b)
(/ (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)))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (+ (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (* a (- (* 1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/8 b) (+ (* -1/16 b) (+ (* 1/24 b) (+ (* 1/6 (+ 1 (* -1/2 b))) (* 1/4 b))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
-1/48
-1/48
-1/48
-1/48
-1/48
-1/48
-1/48
-1/48
-1/48
-1/48
-1/48
-1/48
(/ 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)))

Outputs
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))
(/ 1 (exp (neg a)))
(exp.f64 a)
(/ 1 (exp (neg a)))
(exp.f64 a)
(/ 1 (exp (neg a)))
(exp.f64 a)
(/ 1 (exp (neg a)))
(exp.f64 a)
(/ 1 (exp (* -1 a)))
(exp.f64 a)
(/ 1 (exp (* -1 a)))
(exp.f64 a)
(/ 1 (exp (* -1 a)))
(exp.f64 a)
(/ 1 (exp (* -1 a)))
(exp.f64 a)
(/ 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 a (+.f64 (/.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))))
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(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))
(fma.f64 a (fma.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (+ (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (* a (- (* 1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/8 b) (+ (* -1/16 b) (+ (* 1/24 b) (+ (* 1/6 (+ 1 (* -1/2 b))) (* 1/4 b))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))
(fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/6 binary64) b))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
-1/48
#s(literal -1/48 binary64)
-1/48
#s(literal -1/48 binary64)
-1/48
#s(literal -1/48 binary64)
-1/48
#s(literal -1/48 binary64)
-1/48
#s(literal -1/48 binary64)
-1/48
#s(literal -1/48 binary64)
-1/48
#s(literal -1/48 binary64)
-1/48
#s(literal -1/48 binary64)
-1/48
#s(literal -1/48 binary64)
-1/48
#s(literal -1/48 binary64)
-1/48
#s(literal -1/48 binary64)
-1/48
#s(literal -1/48 binary64)
(/ 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 a (+.f64 (/.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))))
(+ (* 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 (+.f64 (fma.f64 a (+.f64 (+.f64 (/.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 3 binary64)))) (/.f64 #s(literal -3/2 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)))) (/.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 (+ 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 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 a (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) #s(literal 2/3 binary64) (fma.f64 #s(literal 1/2 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 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 -3/2 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))))
(/ (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))))
(fma.f64 (exp.f64 a) (neg.f64 (/.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 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 (neg.f64 (fma.f64 b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 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 b (fma.f64 b (neg.f64 (fma.f64 b (-.f64 (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/6 binary64))) (/.f64 (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))))) (/.f64 (neg.f64 (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 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)))

rewrite253.0ms (3.6%)

Memory

-18.8MiB live, 622.8MiB allocated

Rules

4 520×	`lower-fma.f32`
4 492×	`lower-fma.f64`
4 432×	`lower-*.f32`
4 418×	`lower-*.f64`
2 106×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	541
0	127	508
1	607	476
2	5265	476
0	8201	459

Stop Event

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

Counts

25 → 308

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 a)
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))))
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64)))))
#s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))
(.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 b (fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))
(/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 binary64) (.f64 b b)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64))
(fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64)))
(fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
(*.f64 b #s(literal -1/480 binary64))
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 binary64) (.f64 b b))) (.f64 b #s(literal 1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 binary64) (.f64 b b))) (.f64 b #s(literal 1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))

Outputs
(exp.f64 a)
(exp.f64 (*.f64 (log.f64 (exp.f64 (neg.f64 a))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 a) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 (neg.f64 a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 a))))
(pow.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))
(pow.f64 (exp.f64 a) #s(literal 1 binary64))
(pow.f64 (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 a))
(pow.f64 (neg.f64 (neg.f64 (exp.f64 (neg.f64 a)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (*.f64 (neg.f64 a) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 a))
(*.f64 (exp.f64 a) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (neg.f64 a)))))
(.f64 (exp.f64 (.f64 (neg.f64 a) #s(literal -1/2 binary64))) (exp.f64 (*.f64 (neg.f64 a) #s(literal -1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 (neg.f64 a)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (exp.f64 a) (neg.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)))))
(neg.f64 (/.f64 (neg.f64 (exp.f64 a)) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 (neg.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 (neg.f64 a))) #s(literal 1 binary64)))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)))
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(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/48 binary64)) #s(literal 1/12 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)) (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)))) (pow.f64 (-.f64 #s(literal -1/24 binary64) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal -1/16 binary64)) #s(literal 1/16 binary64)))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)) (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64))) (-.f64 (.f64 (-.f64 #s(literal -1/24 binary64) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal -1/16 binary64)) #s(literal 1/16 binary64)))) (-.f64 #s(literal -1/24 binary64) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal -1/16 binary64)) #s(literal 1/16 binary64))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/48 binary64)) #s(literal 1/12 binary64)) (-.f64 #s(literal -1/24 binary64) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/16 binary64)) #s(literal 1/16 binary64))))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)) #s(literal -1/24 binary64)) (.f64 #s(literal 1/48 binary64) b)) #s(literal 3 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal -1/16 binary64)) #s(literal 1/16 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal -1/16 binary64)) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal -1/16 binary64)) #s(literal 1/16 binary64))))) (fma.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)) #s(literal -1/24 binary64)) (.f64 #s(literal 1/48 binary64) b)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)) #s(literal -1/24 binary64)) (.f64 #s(literal 1/48 binary64) b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal -1/16 binary64)) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal -1/16 binary64)) #s(literal 1/16 binary64)) (.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)) #s(literal -1/24 binary64)) (.f64 #s(literal 1/48 binary64) b)) (fma.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/16 binary64)) #s(literal 1/16 binary64))))))
(/.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)) #s(literal -1/24 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)) #s(literal -1/24 binary64))) (.f64 (neg.f64 (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal -1/16 binary64)) #s(literal 1/16 binary64)))) (neg.f64 (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal -1/16 binary64)) #s(literal 1/16 binary64)))))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)) #s(literal -1/24 binary64)) (neg.f64 (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/16 binary64)) #s(literal 1/16 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)) (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)))) (.f64 (-.f64 #s(literal -1/24 binary64) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal -1/16 binary64)) #s(literal 1/16 binary64)))) (-.f64 #s(literal -1/24 binary64) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal -1/16 binary64)) #s(literal 1/16 binary64)))))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/48 binary64)) #s(literal 1/12 binary64)) (-.f64 #s(literal -1/24 binary64) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/16 binary64)) #s(literal 1/16 binary64))))))
(/.f64 (-.f64 (.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)) #s(literal -1/24 binary64)) (.f64 #s(literal 1/48 binary64) b)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)) #s(literal -1/24 binary64)) (.f64 #s(literal 1/48 binary64) b))) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal -1/16 binary64)) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal -1/16 binary64)) #s(literal 1/16 binary64)))) (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)) #s(literal -1/24 binary64)) (.f64 #s(literal 1/48 binary64) b)) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal -1/16 binary64)) #s(literal 1/16 binary64))))
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)) #s(literal -1/24 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)) #s(literal -1/24 binary64)) (.f64 (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal -1/16 binary64)) #s(literal 1/16 binary64))) (+.f64 #s(literal -1/24 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal -1/16 binary64)) #s(literal 1/16 binary64))))))) (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)) #s(literal -1/24 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)) #s(literal -1/24 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)) #s(literal -1/24 binary64)))) (.f64 (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal -1/16 binary64)) #s(literal 1/16 binary64))) (.f64 (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal -1/16 binary64)) #s(literal 1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal -1/16 binary64)) #s(literal 1/16 binary64))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal -1/24 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal -1/16 binary64)) #s(literal 1/16 binary64))))) (.f64 (+.f64 #s(literal -1/24 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal -1/16 binary64)) #s(literal 1/16 binary64))))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal -1/16 binary64)) #s(literal 1/16 binary64)))))) #s(literal -1 binary64))
(.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)) #s(literal -1/24 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)) #s(literal -1/24 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)) #s(literal -1/24 binary64)))) (.f64 (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal -1/16 binary64)) #s(literal 1/16 binary64))) (.f64 (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal -1/16 binary64)) #s(literal 1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal -1/16 binary64)) #s(literal 1/16 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)) #s(literal -1/24 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)) #s(literal -1/24 binary64)) (.f64 (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal -1/16 binary64)) #s(literal 1/16 binary64))) (+.f64 #s(literal -1/24 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/16 binary64)) #s(literal 1/16 binary64)))))))))
(.f64 (.f64 (+.f64 #s(literal -1/24 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal -1/16 binary64)) #s(literal 1/16 binary64))))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal -1/16 binary64)) #s(literal 1/16 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/24 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/16 binary64)) #s(literal 1/16 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal -1/16 binary64)) #s(literal 1/16 binary64)))) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))

eval115.0ms (1.6%)

Memory: 15.8MiB live, 375.5MiB allocated
Compiler: Compiled 21 165 to 1 524 computations (92.8% saved)

prune109.0ms (1.5%)

Memory

-21.5MiB live, 386.7MiB allocated

Pruning

23 alts after pruning (15 fresh and 8 done)

	Pruned	Kept	Total
New	745	7	752
Fresh	2	8	10
Picked	2	3	5
Done	0	5	5
Total	749	23	772

Accuracy

99.7%

Counts

772 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.6%	(/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(approx (exp b) #s(literal 1 binary64))))
✓	63.5%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
✓	65.6%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
	64.4%	(/.f64 (exp.f64 a) (+.f64 #s(approx (/ 1 (exp (neg a))) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
	34.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (+ 1 (exp b)) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
✓	83.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
	54.0%	#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)))))
	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 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
✓	33.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
	33.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) #s(approx (/ (exp a) (+ 1 (exp a))) (fma.f64 a (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
✓	32.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
	32.2%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
	33.1%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
	16.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) #s(approx (+ (* b (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4)) 1/2) (*.f64 #s(literal -1/480 binary64) (pow.f64 b #s(literal 5 binary64))))))
✓	35.1%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
	32.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)) (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)))) (.f64 (-.f64 #s(literal -1/24 binary64) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/16 binary64)) #s(literal 1/16 binary64)))) (-.f64 #s(literal -1/24 binary64) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/16 binary64)) #s(literal 1/16 binary64)))))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/48 binary64)) #s(literal 1/12 binary64)) (-.f64 #s(literal -1/24 binary64) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/16 binary64)) #s(literal 1/16 binary64)))))) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
	20.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a #s(approx (- (+ (* 1/2 (+ (* b -7/48) (+ (* b 1/6) 1/6))) -1/24) (+ (* b -1/48) (+ (* 1/2 (- 0 (* b -1/16))) 1/16))) #s(literal -1/48 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 binary64) (.f64 b b))) (*.f64 b #s(literal 1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
	33.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a #s(approx (- (+ (* 1/2 (+ (* b -7/48) (+ (* b 1/6) 1/6))) -1/24) (+ (* b -1/48) (+ (* 1/2 (- 0 (* b -1/16))) 1/16))) #s(literal -1/48 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
✓	35.2%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
	3.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (/.f64 (-.f64 (.f64 (.f64 a (.f64 a (.f64 b #s(literal -1/16 binary64)))) (.f64 a (.f64 a (.f64 b #s(literal -1/16 binary64))))) (.f64 #s(literal 1/16 binary64) (.f64 b b))) (-.f64 (.f64 a (.f64 a (.f64 b #s(literal -1/16 binary64)))) (*.f64 b #s(literal -1/4 binary64)))))))
	11.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (.f64 #s(literal 1/16 binary64) (*.f64 a a))))))
	3.8%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) #s(approx (+ (* 1/4 a) 1/2) (*.f64 a #s(literal 1/4 binary64))))))
	3.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) #s(approx (* b (+ (* 1/16 (* a a)) -1/4)) (*.f64 b #s(literal -1/4 binary64))))))

Compiler

Compiled 975 to 370 computations (62.1% saved)

regimes57.0ms (0.8%)

Memory

35.0MiB live, 194.6MiB allocated

Counts

39 → 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 (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) #s(approx (* b (+ (* 1/16 (* a a)) -1/4)) (*.f64 b #s(literal -1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) #s(approx (+ (* 1/4 a) 1/2) (*.f64 a #s(literal 1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 b #s(literal -1/4 binary64) (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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (.f64 #s(literal 1/16 binary64) (*.f64 a a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))))
#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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 b (*.f64 b #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 #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 (fma.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #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))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 b (.f64 b #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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a #s(approx (- (+ (* 1/2 (+ (* b -7/48) (+ (* b 1/6) 1/6))) -1/24) (+ (* b -1/48) (+ (* 1/2 (- 0 (* b -1/16))) 1/16))) #s(literal -1/48 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a #s(approx (- (+ (* 1/2 (+ (* b -7/48) (+ (* b 1/6) 1/6))) -1/24) (+ (* b -1/48) (+ (* 1/2 (- 0 (* b -1/16))) 1/16))) #s(literal -1/48 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 binary64) (.f64 b b))) (*.f64 b #s(literal 1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (/.f64 (-.f64 (.f64 (.f64 a (.f64 a (.f64 b #s(literal -1/16 binary64)))) (.f64 a (.f64 a (.f64 b #s(literal -1/16 binary64))))) (.f64 #s(literal 1/16 binary64) (.f64 b b))) (-.f64 (.f64 a (.f64 a (.f64 b #s(literal -1/16 binary64)))) (*.f64 b #s(literal -1/4 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 binary64) (.f64 b b))) (.f64 b #s(literal 1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) #s(approx (+ (* b (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4)) 1/2) (*.f64 #s(literal -1/480 binary64) (pow.f64 b #s(literal 5 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (+ 1 (exp b)) -1/2) (sqrt.f64 #s(literal 1/2 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))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (/ 1 (exp (neg a))) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)) (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)))) (.f64 (-.f64 #s(literal -1/24 binary64) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/16 binary64)) #s(literal 1/16 binary64)))) (-.f64 #s(literal -1/24 binary64) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/16 binary64)) #s(literal 1/16 binary64)))))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/48 binary64)) #s(literal 1/12 binary64)) (-.f64 #s(literal -1/24 binary64) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/16 binary64)) #s(literal 1/16 binary64)))))) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 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)) #s(approx (/ (exp a) (+ 1 (exp a))) (fma.f64 a (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b)))
#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))
(/.f64 (exp.f64 a) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 (.f64 a #s(literal 3 binary64))))) (+.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (+.f64 a a)) (.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 a)))))) (exp.f64 b)))

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

Calls

5 calls:

13.0ms	a
12.0ms	b
10.0ms	(exp.f64 b)
10.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
9.0ms	(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)

regimes52.0ms (0.7%)

Memory

-23.6MiB live, 175.8MiB allocated

Counts

35 → 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 (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) #s(approx (* b (+ (* 1/16 (* a a)) -1/4)) (*.f64 b #s(literal -1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) #s(approx (+ (* 1/4 a) 1/2) (*.f64 a #s(literal 1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 b #s(literal -1/4 binary64) (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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (.f64 #s(literal 1/16 binary64) (*.f64 a a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))))
#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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 b (*.f64 b #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 #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 (fma.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #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))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 b (.f64 b #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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a #s(approx (- (+ (* 1/2 (+ (* b -7/48) (+ (* b 1/6) 1/6))) -1/24) (+ (* b -1/48) (+ (* 1/2 (- 0 (* b -1/16))) 1/16))) #s(literal -1/48 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a #s(approx (- (+ (* 1/2 (+ (* b -7/48) (+ (* b 1/6) 1/6))) -1/24) (+ (* b -1/48) (+ (* 1/2 (- 0 (* b -1/16))) 1/16))) #s(literal -1/48 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 binary64) (.f64 b b))) (*.f64 b #s(literal 1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (/.f64 (-.f64 (.f64 (.f64 a (.f64 a (.f64 b #s(literal -1/16 binary64)))) (.f64 a (.f64 a (.f64 b #s(literal -1/16 binary64))))) (.f64 #s(literal 1/16 binary64) (.f64 b b))) (-.f64 (.f64 a (.f64 a (.f64 b #s(literal -1/16 binary64)))) (*.f64 b #s(literal -1/4 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 binary64) (.f64 b b))) (.f64 b #s(literal 1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) #s(approx (+ (* b (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4)) 1/2) (*.f64 #s(literal -1/480 binary64) (pow.f64 b #s(literal 5 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (+ 1 (exp b)) -1/2) (sqrt.f64 #s(literal 1/2 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))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (/ 1 (exp (neg a))) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)) (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)))) (.f64 (-.f64 #s(literal -1/24 binary64) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/16 binary64)) #s(literal 1/16 binary64)))) (-.f64 #s(literal -1/24 binary64) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/16 binary64)) #s(literal 1/16 binary64)))))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/48 binary64)) #s(literal 1/12 binary64)) (-.f64 #s(literal -1/24 binary64) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/16 binary64)) #s(literal 1/16 binary64)))))) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 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)) #s(approx (/ (exp a) (+ 1 (exp a))) (fma.f64 a (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

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

Calls

5 calls:

11.0ms	b
11.0ms	a
9.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
9.0ms	(exp.f64 a)
9.0ms	(exp.f64 b)

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)

regimes51.0ms (0.7%)

Memory

16.4MiB live, 176.2MiB allocated

Counts

34 → 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 (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) #s(approx (* b (+ (* 1/16 (* a a)) -1/4)) (*.f64 b #s(literal -1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) #s(approx (+ (* 1/4 a) 1/2) (*.f64 a #s(literal 1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 b #s(literal -1/4 binary64) (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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (.f64 #s(literal 1/16 binary64) (*.f64 a a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))))
#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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 b (*.f64 b #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 #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 (fma.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #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))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 b (.f64 b #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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a #s(approx (- (+ (* 1/2 (+ (* b -7/48) (+ (* b 1/6) 1/6))) -1/24) (+ (* b -1/48) (+ (* 1/2 (- 0 (* b -1/16))) 1/16))) #s(literal -1/48 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a #s(approx (- (+ (* 1/2 (+ (* b -7/48) (+ (* b 1/6) 1/6))) -1/24) (+ (* b -1/48) (+ (* 1/2 (- 0 (* b -1/16))) 1/16))) #s(literal -1/48 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 binary64) (.f64 b b))) (*.f64 b #s(literal 1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (/.f64 (-.f64 (.f64 (.f64 a (.f64 a (.f64 b #s(literal -1/16 binary64)))) (.f64 a (.f64 a (.f64 b #s(literal -1/16 binary64))))) (.f64 #s(literal 1/16 binary64) (.f64 b b))) (-.f64 (.f64 a (.f64 a (.f64 b #s(literal -1/16 binary64)))) (*.f64 b #s(literal -1/4 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 binary64) (.f64 b b))) (.f64 b #s(literal 1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) #s(approx (+ (* b (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4)) 1/2) (*.f64 #s(literal -1/480 binary64) (pow.f64 b #s(literal 5 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (+ 1 (exp b)) -1/2) (sqrt.f64 #s(literal 1/2 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))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (/ 1 (exp (neg a))) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)) (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)))) (.f64 (-.f64 #s(literal -1/24 binary64) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/16 binary64)) #s(literal 1/16 binary64)))) (-.f64 #s(literal -1/24 binary64) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/16 binary64)) #s(literal 1/16 binary64)))))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/48 binary64)) #s(literal 1/12 binary64)) (-.f64 #s(literal -1/24 binary64) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/16 binary64)) #s(literal 1/16 binary64)))))) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 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)) #s(approx (/ (exp a) (+ 1 (exp a))) (fma.f64 a (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 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

5 calls:

11.0ms	b
11.0ms	a
9.0ms	(exp.f64 b)
8.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
8.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
98.5%	2	`a`
99.6%	3	`b`
83.0%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
98.5%	2	`(exp.f64 a)`
99.6%	3	`(exp.f64 b)`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes34.0ms (0.5%)

Memory

-4.8MiB live, 116.4MiB allocated

Counts

26 → 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 (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) #s(approx (* b (+ (* 1/16 (* a a)) -1/4)) (*.f64 b #s(literal -1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) #s(approx (+ (* 1/4 a) 1/2) (*.f64 a #s(literal 1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 b #s(literal -1/4 binary64) (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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (.f64 #s(literal 1/16 binary64) (*.f64 a a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))))
#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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 b (*.f64 b #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 #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 (fma.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #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))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 b (.f64 b #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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a #s(approx (- (+ (* 1/2 (+ (* b -7/48) (+ (* b 1/6) 1/6))) -1/24) (+ (* b -1/48) (+ (* 1/2 (- 0 (* b -1/16))) 1/16))) #s(literal -1/48 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a #s(approx (- (+ (* 1/2 (+ (* b -7/48) (+ (* b 1/6) 1/6))) -1/24) (+ (* b -1/48) (+ (* 1/2 (- 0 (* b -1/16))) 1/16))) #s(literal -1/48 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 binary64) (.f64 b b))) (*.f64 b #s(literal 1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (/.f64 (-.f64 (.f64 (.f64 a (.f64 a (.f64 b #s(literal -1/16 binary64)))) (.f64 a (.f64 a (.f64 b #s(literal -1/16 binary64))))) (.f64 #s(literal 1/16 binary64) (.f64 b b))) (-.f64 (.f64 a (.f64 a (.f64 b #s(literal -1/16 binary64)))) (*.f64 b #s(literal -1/4 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 binary64) (.f64 b b))) (.f64 b #s(literal 1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) #s(approx (+ (* b (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4)) 1/2) (*.f64 #s(literal -1/480 binary64) (pow.f64 b #s(literal 5 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (+ 1 (exp b)) -1/2) (sqrt.f64 #s(literal 1/2 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 (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))

#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) #s(approx (+ (* b (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4)) 1/2) (*.f64 #s(literal -1/480 binary64) (pow.f64 b #s(literal 5 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:

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

Results

Accuracy	Segments	Branch
83.0%	1	`b`
83.0%	1	`(exp.f64 b)`
86.3%	3	`a`
83.0%	1	`(exp.f64 a)`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes40.0ms (0.6%)

Memory

-24.5MiB live, 135.5MiB allocated

Counts

25 → 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 (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) #s(approx (* b (+ (* 1/16 (* a a)) -1/4)) (*.f64 b #s(literal -1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) #s(approx (+ (* 1/4 a) 1/2) (*.f64 a #s(literal 1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 b #s(literal -1/4 binary64) (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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (.f64 #s(literal 1/16 binary64) (*.f64 a a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))))
#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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 b (*.f64 b #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 #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 (fma.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #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))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 b (.f64 b #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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a #s(approx (- (+ (* 1/2 (+ (* b -7/48) (+ (* b 1/6) 1/6))) -1/24) (+ (* b -1/48) (+ (* 1/2 (- 0 (* b -1/16))) 1/16))) #s(literal -1/48 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a #s(approx (- (+ (* 1/2 (+ (* b -7/48) (+ (* b 1/6) 1/6))) -1/24) (+ (* b -1/48) (+ (* 1/2 (- 0 (* b -1/16))) 1/16))) #s(literal -1/48 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 binary64) (.f64 b b))) (*.f64 b #s(literal 1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (/.f64 (-.f64 (.f64 (.f64 a (.f64 a (.f64 b #s(literal -1/16 binary64)))) (.f64 a (.f64 a (.f64 b #s(literal -1/16 binary64))))) (.f64 #s(literal 1/16 binary64) (.f64 b b))) (-.f64 (.f64 a (.f64 a (.f64 b #s(literal -1/16 binary64)))) (*.f64 b #s(literal -1/4 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 binary64) (.f64 b b))) (.f64 b #s(literal 1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) #s(approx (+ (* b (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4)) 1/2) (*.f64 #s(literal -1/480 binary64) (pow.f64 b #s(literal 5 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (+ 1 (exp b)) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))

Outputs

#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) #s(approx (+ (* b (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4)) 1/2) (*.f64 #s(literal -1/480 binary64) (pow.f64 b #s(literal 5 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)))))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
57.0%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
57.4%	2	`(exp.f64 a)`
59.2%	3	`b`
56.8%	2	`(exp.f64 b)`
57.9%	2	`a`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes17.0ms (0.2%)

Memory

21.7MiB live, 61.3MiB allocated

Counts

23 → 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 (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) #s(approx (* b (+ (* 1/16 (* a a)) -1/4)) (*.f64 b #s(literal -1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) #s(approx (+ (* 1/4 a) 1/2) (*.f64 a #s(literal 1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 b #s(literal -1/4 binary64) (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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (.f64 #s(literal 1/16 binary64) (*.f64 a a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))))
#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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 b (*.f64 b #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 #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 (fma.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #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))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 b (.f64 b #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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a #s(approx (- (+ (* 1/2 (+ (* b -7/48) (+ (* b 1/6) 1/6))) -1/24) (+ (* b -1/48) (+ (* 1/2 (- 0 (* b -1/16))) 1/16))) #s(literal -1/48 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a #s(approx (- (+ (* 1/2 (+ (* b -7/48) (+ (* b 1/6) 1/6))) -1/24) (+ (* b -1/48) (+ (* 1/2 (- 0 (* b -1/16))) 1/16))) #s(literal -1/48 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 binary64) (.f64 b b))) (*.f64 b #s(literal 1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (/.f64 (-.f64 (.f64 (.f64 a (.f64 a (.f64 b #s(literal -1/16 binary64)))) (.f64 a (.f64 a (.f64 b #s(literal -1/16 binary64))))) (.f64 #s(literal 1/16 binary64) (.f64 b b))) (-.f64 (.f64 a (.f64 a (.f64 b #s(literal -1/16 binary64)))) (*.f64 b #s(literal -1/4 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) #s(literal 1/16 binary64)))) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/256 binary64) (.f64 b b))) (.f64 b #s(literal 1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))

Outputs

#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))

#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (*.f64 b (*.f64 #s(literal 1/16 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 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))

Calls

2 calls:

8.0ms	b
7.0ms	a

Results

Accuracy	Segments	Branch
59.2%	3	`b`
54.0%	1	`a`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes29.0ms (0.4%)

Memory

-20.1MiB live, 100.2MiB allocated

Counts

17 → 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 (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) #s(approx (* b (+ (* 1/16 (* a a)) -1/4)) (*.f64 b #s(literal -1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) #s(approx (+ (* 1/4 a) 1/2) (*.f64 a #s(literal 1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 b #s(literal -1/4 binary64) (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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (.f64 #s(literal 1/16 binary64) (*.f64 a a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))))
#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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 b (*.f64 b #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 #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 (fma.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #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))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))

Outputs

#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))

#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (*.f64 b (*.f64 #s(literal 1/16 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

5 calls:

6.0ms	b
6.0ms	a
5.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(exp.f64 b)
5.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
46.9%	1	`a`
49.4%	2	`(exp.f64 b)`
49.5%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
46.9%	1	`(exp.f64 a)`
53.1%	3	`b`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes23.0ms (0.3%)

Memory

1.5MiB live, 81.0MiB allocated

Counts

13 → 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 (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) #s(approx (* b (+ (* 1/16 (* a a)) -1/4)) (*.f64 b #s(literal -1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) #s(approx (+ (* 1/4 a) 1/2) (*.f64 a #s(literal 1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 b #s(literal -1/4 binary64) (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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (.f64 #s(literal 1/16 binary64) (*.f64 a a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal -1/4 binary64))))))
#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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))

Outputs

#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (*.f64 b (*.f64 #s(literal 1/16 binary64) (*.f64 a a))))))

#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
35.2%	1	`(exp.f64 a)`
35.2%	1	`a`
43.4%	2	`(exp.f64 b)`
43.5%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
43.4%	2	`b`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes11.0ms (0.2%)

Memory

-0.9MiB live, 39.0MiB allocated

Counts

9 → 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 (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) #s(approx (* b (+ (* 1/16 (* a a)) -1/4)) (*.f64 b #s(literal -1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) #s(approx (+ (* 1/4 a) 1/2) (*.f64 a #s(literal 1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 b #s(literal -1/4 binary64) (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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
35.2%	1	`(exp.f64 b)`
35.2%	1	`b`
35.2%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes9.0ms (0.1%)

Memory

36.2MiB live, 36.2MiB allocated

Accuracy

Total -20.8b remaining (-50%)

Threshold costs -20.8b (-50%)

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 (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) #s(approx (* b (+ (* 1/16 (* a a)) -1/4)) (*.f64 b #s(literal -1/4 binary64))))))

#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) #s(approx (+ (* 1/4 a) 1/2) (*.f64 a #s(literal 1/4 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)))
2.0ms	(exp.f64 b)
2.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
35.1%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
35.1%	1	`a`
35.1%	1	`b`
35.1%	1	`(exp.f64 a)`
35.1%	1	`(exp.f64 b)`

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.312399953646657e-16

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch30.0ms (0.4%)

Memory

-20.2MiB live, 99.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	-1.0738023395520599e+142	-4.098759092549351e+141
18.0ms	-1.3792779705143369e+208	-3.368610508562587e+196

Samples

12.0ms	240×	0	valid
3.0ms	52×	0	exit

Compiler

Compiled 328 to 221 computations (32.6% saved)

Precisions

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

ival-exp: 4.0ms (49.6% of total)

ival-div: 2.0ms (24.8% of total)

ival-add: 2.0ms (24.8% of total)

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

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

bsearch1.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.0738023395520599e+142	-4.098759092549351e+141

Compiler

Compiled 153 to 101 computations (34% saved)

bsearch24.0ms (0.3%)

Memory

-4.2MiB live, 76.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.7622622811118763e+97	3.795161560998947e+102
9.0ms	58311667018.28218	847294232228.3094

Samples

13.0ms

240×

valid

Compiler

Compiled 421 to 251 computations (40.4% saved)

Precisions

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

ival-exp: 4.0ms (56% of total)

ival-div: 1.0ms (14% of total)

ival-add: 1.0ms (14% of total)

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

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

bsearch5.0ms (0.1%)

Memory

18.2MiB live, 18.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	7.499822503534497e+152	1.0677109613955029e+153
1.0ms	58311667018.28218	847294232228.3094

Samples

2.0ms

48×

valid

Compiler

Compiled 232 to 137 computations (40.9% saved)

Precisions

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

ival-exp: 1.0ms (81.5% 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)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.14984168897232283

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify13.0ms (0.2%)

Memory

-36.8MiB live, 42.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64`
8×	`*-commutative_binary64`
2×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	639
1	122	639
2	124	639
3	125	639

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (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 -350000000000000030877847253511801646499123314026008691163476760452866532937037575057197138351814994611904470325011213455516321356415773974498762327588720825643902510828905376113481973399087492989441802240 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 -8599999999999999705996632622065585993218159466116313851037011920972001043115827282396561356334962189516974237713444558876840133633850388512768 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) #s(approx (+ (* b (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4)) 1/2) (*.f64 #s(literal -1/480 binary64) (pow.f64 b #s(literal 5 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 -8599999999999999705996632622065585993218159466116313851037011920972001043115827282396561356334962189516974237713444558876840133633850388512768 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) #s(approx (+ (* b (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4)) 1/2) (*.f64 #s(literal -1/480 binary64) (pow.f64 b #s(literal 5 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))))))
(if (<=.f64 b #s(literal 60000000000 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))) (if (<=.f64 b #s(literal 3750000000000000007183781571505007760809831727244470041823013179747672465764957834854635544155676213248 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (.f64 #s(literal 1/16 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 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))))
(if (<=.f64 b #s(literal 60000000000 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))) (if (<=.f64 b #s(literal 1050000000000000083451894193183225223380418638772480878139616948604628707926215895366211738206236283543061889990792898121254712840699179674325774269153280 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (.f64 #s(literal 1/16 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 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (.f64 #s(literal 1/16 binary64) (.f64 a a)))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx ( (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #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 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (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 -350000000000000030877847253511801646499123314026008691163476760452866532937037575057197138351814994611904470325011213455516321356415773974498762327588720825643902510828905376113481973399087492989441802240 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 -8599999999999999705996632622065585993218159466116313851037011920972001043115827282396561356334962189516974237713444558876840133633850388512768 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) #s(approx (+ (* b (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4)) 1/2) (*.f64 #s(literal -1/480 binary64) (pow.f64 b #s(literal 5 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 -8599999999999999705996632622065585993218159466116313851037011920972001043115827282396561356334962189516974237713444558876840133633850388512768 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) #s(approx (+ (* b (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4)) 1/2) (*.f64 #s(literal -1/480 binary64) (pow.f64 b #s(literal 5 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))))))
(if (<=.f64 b #s(literal 60000000000 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))) (if (<=.f64 b #s(literal 3750000000000000007183781571505007760809831727244470041823013179747672465764957834854635544155676213248 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (.f64 #s(literal 1/16 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 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))))
(if (<=.f64 b #s(literal 60000000000 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))) (if (<=.f64 b #s(literal 1050000000000000083451894193183225223380418638772480878139616948604628707926215895366211738206236283543061889990792898121254712840699179674325774269153280 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (.f64 #s(literal 1/16 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 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (.f64 b (.f64 #s(literal 1/16 binary64) (.f64 a a)))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx ( (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a (+ (* a (- 0 (* b -1/16))) 1/4)) (+ (* b -1/4) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))

soundness1.1s (15.3%)

Memory

3.0MiB live, 1 164.0MiB allocated

Rules

21 184×	`lower-fma.f64`
21 184×	`lower-fma.f32`
18 438×	`lower-fma.f64`
18 438×	`lower-fma.f32`
11 038×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	163
0	54	162
1	214	154
2	1629	154
0	8395	154
0	296	4967
1	879	4252
2	2999	4021
0	8671	3874
0	356	6754
1	1054	5966
2	3453	5426
0	8587	5137
0	6	17
0	10	17
1	32	17
2	203	17
3	1936	17
0	8631	17
0	288	4895
1	863	4643
2	2696	4275
0	8920	4076
0	120	740
1	332	725
2	963	708
3	3702	677
0	8342	640

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×	node limit
1×	iter limit

Compiler

Compiled 377 to 187 computations (50.4% saved)

preprocess118.0ms (1.7%)

Memory: -1.1MiB live, 357.2MiB allocated
Compiler: Compiled 460 to 142 computations (69.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze6.0ms (0.1%)

sample949.0ms (13.3%)

explain75.0ms (1.1%)

preprocess85.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize21.0ms (0.3%)

series10.0ms (0.1%)

simplify267.0ms (3.7%)

rewrite239.0ms (3.3%)

eval47.0ms (0.7%)

prune90.0ms (1.3%)

simplify167.0ms (2.3%)

localize87.0ms (1.2%)

series35.0ms (0.5%)

simplify224.0ms (3.1%)

rewrite242.0ms (3.4%)

eval130.0ms (1.8%)

prune135.0ms (1.9%)

simplify212.0ms (3%)

localize224.0ms (3.1%)

series37.0ms (0.5%)

simplify341.0ms (4.8%)

rewrite363.0ms (5.1%)

eval150.0ms (2.1%)

prune119.0ms (1.7%)

simplify222.0ms (3.1%)

localize282.0ms (4%)

series36.0ms (0.5%)

simplify249.0ms (3.5%)

rewrite253.0ms (3.6%)

eval115.0ms (1.6%)

prune109.0ms (1.5%)

regimes57.0ms (0.8%)

regimes52.0ms (0.7%)

regimes51.0ms (0.7%)

regimes34.0ms (0.5%)

regimes40.0ms (0.6%)

regimes17.0ms (0.2%)

regimes29.0ms (0.4%)

regimes23.0ms (0.3%)

regimes11.0ms (0.2%)

regimes9.0ms (0.1%)

bsearch0.0ms (0%)

bsearch30.0ms (0.4%)

bsearch1.0ms (0%)

bsearch24.0ms (0.3%)

bsearch5.0ms (0.1%)

bsearch0.0ms (0%)

simplify13.0ms (0.2%)

soundness1.1s (15.3%)

preprocess118.0ms (1.7%)

end0.0ms (0%)

Profiling