Metrics for Quotient of sum of exps

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze6.0ms (0.1%)

Memory

-24.9MiB live, 15.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 10 to 8 computations (20% saved)

sample919.0ms (14.5%)

Memory

21.1MiB live, 2 495.2MiB allocated

Samples

397.0ms	8 256×	0	valid
146.0ms	2 998×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 308.0ms

ival-exp: 170.0ms (55.1% of total)

ival-div: 72.0ms (23.4% of total)

ival-add: 54.0ms (17.5% of total)

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

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

Bogosity

explain72.0ms (1.1%)

Memory

4.2MiB live, 205.7MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`	o/o	2	0
↳	`(exp.f64 a)`	overflow	2
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	overflow	68
↳	`(exp.f64 a)`	overflow	2
↳	`(exp.f64 b)`	overflow	66
`/.f64`	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`	u/u	1	0
↳	`(exp.f64 a)`	underflow	66
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	underflow	1
↳	`(exp.f64 a)`	underflow	66
↳	`(exp.f64 b)`	underflow	47

Confusion

	Predicted +	Predicted -
+	3	0
-	0	253

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	253
1	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

27.0ms

512×

valid

Compiler

Compiled 52 to 22 computations (57.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-exp: 8.0ms (57.6% of total)

ival-div: 3.0ms (21.6% of total)

ival-add: 3.0ms (21.6% of total)

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

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

preprocess85.0ms (1.3%)

Memory

-2.8MiB live, 37.9MiB allocated

Algorithm

1×	egg-herbie

Rules

216×	`times-frac`
176×	`div-sub`
112×	`distribute-lft-in`
102×	`distribute-rgt-in`
91×	`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)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))

Compiler

Compiled 10 to 6 computations (40% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 6 computations (40% saved)

simplify3.0ms (0%)

Memory

7.8MiB live, 7.8MiB 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

2×	`lift-exp.f64`
2×	`lower-+.f32`
2×	`lower-exp.f32`
1×	`lift-+.f64`
1×	`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)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp.f64 a)
a
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 b) (exp.f64 a))
(exp.f64 b)
b

localize21.0ms (0.3%)

Memory

-20.4MiB live, 58.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 b)
accuracy	0	(exp.f64 a)
accuracy	0.0078125	(+.f64 (exp.f64 a) (exp.f64 b))
accuracy	0.7382895031524757	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Samples

15.0ms

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 (58.5% of total)

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

ival-add: 1.0ms (14.6% of total)

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

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

series7.0ms (0.1%)

Memory

19.4MiB live, 19.4MiB 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
1.0ms	a	@	0	(/ (exp a) (+ (exp a) (exp b)))
1.0ms	b	@	inf	(/ (exp a) (+ (exp a) (exp b)))
1.0ms	b	@	0	(/ (exp a) (+ (exp a) (exp b)))
1.0ms	a	@	inf	(/ (exp a) (+ (exp a) (exp b)))
1.0ms	a	@	-inf	(/ (exp a) (+ (exp a) (exp b)))

simplify207.0ms (3.3%)

Memory

-10.0MiB live, 426.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 219×	`lower-fma.f64`
9 219×	`lower-fma.f32`
2 215×	`lower-*.f64`
2 215×	`lower-*.f32`
1 483×	`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 (exp.f64 b) #s(literal 1 binary64)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (+.f64 a #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #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 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (+.f64 (/.f64 a (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64))) (*.f64 (fma.f64 a #s(literal 3/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))))) a (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(+ (* 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 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (fma.f64 (fma.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) #s(literal 2/3 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 4 binary64))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64)))) a (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64)))) a (*.f64 (fma.f64 a #s(literal 3/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))))) a (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+ (* -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 (exp.f64 a) #s(literal 1 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 (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) b (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) b (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(+ (* 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 b b) (-.f64 (.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) #s(literal 1 binary64)) (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1/2 binary64))) b) (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))))))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 a #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #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 (exp.f64 b) #s(literal 1 binary64))
(+ 1 (+ a (exp b)))
(+.f64 (+.f64 a (exp.f64 b)) #s(literal 1 binary64))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ 1 (exp a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+ 1 (+ b (exp a)))
(+.f64 (+.f64 (exp.f64 a) b) #s(literal 1 binary64))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
1
#s(literal 1 binary64)
(+ 1 b)
(+.f64 b #s(literal 1 binary64))
(+ 1 (* b (+ 1 (* 1/2 b))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #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)

rewrite224.0ms (3.5%)

Memory

23.2MiB live, 540.8MiB allocated

Rules

2 600×	`lower-/.f32`
2 599×	`lower-/.f64`
2 016×	`lower-fma.f64`
2 016×	`lower-fma.f32`
1 640×	`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 (pow.f64 (/.f64 (-.f64 (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (exp.f64 (+.f64 b a))) (exp.f64 a)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (-.f64 (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (exp.f64 (+.f64 b a)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))))
(*.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a)))) (-.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 (/.f64 (neg.f64 (exp.f64 a)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(.f64 (/.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 (.f64 #s(literal 3 binary64) b)) (exp.f64 (*.f64 #s(literal 3 binary64) a)))) (neg.f64 (-.f64 (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (exp.f64 (+.f64 b a)))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))) (-.f64 (exp.f64 a) (exp.f64 b)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (.f64 #s(literal 3 binary64) b)) (exp.f64 (.f64 #s(literal 3 binary64) a))))) (-.f64 (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (exp.f64 (+.f64 b a))))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 a))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))))
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(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (exp.f64 a)) #s(literal 1 binary64)) (exp.f64 b))
(fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a)) (neg.f64 (neg.f64 (exp.f64 b))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a)) (exp.f64 b))
(fma.f64 #s(literal 1 binary64) (exp.f64 a) (neg.f64 (neg.f64 (exp.f64 b))))
(fma.f64 #s(literal 1 binary64) (exp.f64 a) (exp.f64 b))
(fma.f64 (exp.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (exp.f64 a) #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 b))))
(fma.f64 (exp.f64 a) #s(literal 1 binary64) (exp.f64 b))
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (+.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))))) (/.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (+.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.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 (pow.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))))))) (/.f64 (pow.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 (pow.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))))))))
(-.f64 (/.f64 (.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (+.f64 b b))) (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal 2 binary64))))
(-.f64 (/.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))))) (/.f64 (exp.f64 (.f64 b #s(literal 4 binary64))) (.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))))))
(-.f64 (/.f64 (exp.f64 (+.f64 b b)) (.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) (exp.f64 a)))) (/.f64 (exp.f64 (+.f64 a a)) (.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) (exp.f64 a)))))
(-.f64 (/.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (+.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (.f64 b #s(literal 4 binary64)))) (exp.f64 (.f64 (+.f64 b a) #s(literal 2 binary64)))))) (/.f64 (exp.f64 (.f64 b #s(literal 6 binary64))) (.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (+.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (.f64 b #s(literal 4 binary64)))) (exp.f64 (.f64 (+.f64 b a) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (.f64 (-.f64 (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (exp.f64 (+.f64 b a))) (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) a)) (exp.f64 (.f64 #s(literal 3 binary64) b))))) (/.f64 (exp.f64 (.f64 b #s(literal 6 binary64))) (.f64 (-.f64 (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (exp.f64 (+.f64 b a))) (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) a)) (exp.f64 (.f64 #s(literal 3 binary64) b))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) (/.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 0 binary64) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))) (-.f64 (neg.f64 (exp.f64 b)) (exp.f64 a)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (exp.f64 (+.f64 b a)))))) (/.f64 (+.f64 (exp.f64 (.f64 #s(literal 3 binary64) b)) (exp.f64 (.f64 #s(literal 3 binary64) a))) (.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (exp.f64 (+.f64 b a)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (exp.f64 (+.f64 b a))))) (-.f64 (neg.f64 (exp.f64 b)) (exp.f64 a)))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a)))) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) (/.f64 (/.f64 (exp.f64 (.f64 b #s(literal 4 binary64))) (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a)))) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (+.f64 (+.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (.f64 b #s(literal 4 binary64)))) (exp.f64 (.f64 (+.f64 b a) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) (/.f64 (/.f64 (exp.f64 (.f64 b #s(literal 6 binary64))) (+.f64 (+.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (.f64 b #s(literal 4 binary64)))) (exp.f64 (.f64 (+.f64 b a) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))
(-.f64 (/.f64 (exp.f64 (+.f64 a a)) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) (/.f64 (exp.f64 (+.f64 b b)) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a)))) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (/.f64 (exp.f64 (.f64 b #s(literal 4 binary64))) (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a)))) (-.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (+.f64 (+.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (.f64 b #s(literal 4 binary64)))) (exp.f64 (.f64 (+.f64 b a) #s(literal 2 binary64))))) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (/.f64 (exp.f64 (.f64 b #s(literal 6 binary64))) (+.f64 (+.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (.f64 b #s(literal 4 binary64)))) (exp.f64 (.f64 (+.f64 b a) #s(literal 2 binary64))))) (-.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) a)) (exp.f64 (.f64 #s(literal 3 binary64) b)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (exp.f64 (+.f64 b a)))))) (/.f64 (/.f64 (exp.f64 (.f64 b #s(literal 6 binary64))) (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) a)) (exp.f64 (.f64 #s(literal 3 binary64) b)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (exp.f64 (+.f64 b a)))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) a)) (exp.f64 (.f64 #s(literal 3 binary64) b)))) (-.f64 (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (exp.f64 (+.f64 b a)))) (/.f64 (/.f64 (exp.f64 (.f64 b #s(literal 6 binary64))) (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) a)) (exp.f64 (.f64 #s(literal 3 binary64) b)))) (-.f64 (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (exp.f64 (+.f64 b a)))))
(-.f64 (/.f64 (+.f64 (neg.f64 (exp.f64 b)) #s(literal 0 binary64)) #s(literal -1 binary64)) (neg.f64 (exp.f64 a)))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 a a)) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))) #s(literal -1 binary64)) (/.f64 (/.f64 (exp.f64 (+.f64 b b)) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (neg.f64 (exp.f64 b)) #s(literal -1 binary64)) (neg.f64 (exp.f64 a)))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 1 binary64)))
(-.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))))
(-.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (exp.f64 a) (neg.f64 (exp.f64 b))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (neg.f64 (exp.f64 b)) (exp.f64 a)))
(-.f64 (exp.f64 a) (/.f64 (exp.f64 b) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (neg.f64 (exp.f64 b))) (exp.f64 a))
(+.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 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 a) (neg.f64 (neg.f64 (exp.f64 b))))
(+.f64 (exp.f64 a) (exp.f64 b))
(pow.f64 (exp.f64 b) #s(literal 1 binary64))
(exp.f64 (*.f64 b #s(literal 1 binary64)))
(exp.f64 b)

eval47.0ms (0.7%)

Memory: -21.9MiB live, 136.5MiB allocated
Compiler: Compiled 11 221 to 1 166 computations (89.6% saved)

prune56.0ms (0.9%)

Memory

21.9MiB live, 184.2MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	409	4	413
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	410	4	414

Accuracy

99.7%

Counts

414 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.1%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
▶	98.8%	(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))))
▶	81.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
▶	64.9%	#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 (exp.f64 a) #s(literal 1 binary64)))))

Compiler

Compiled 51 to 33 computations (35.3% saved)

simplify172.0ms (2.7%)

Memory

-34.0MiB live, 256.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

2 668×	`lower-fma.f64`
2 668×	`lower-fma.f32`
1 189×	`lower-*.f32`
1 187×	`lower-*.f64`
633×	`lower--.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	167
0	46	167
1	70	162
2	117	161
3	203	161
4	370	157
5	620	157
6	1127	157
7	1827	157
8	3171	157
9	5054	157
10	6288	157
11	7155	157
12	7742	157
0	8009	157

Stop Event

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

Calls

Call 1

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

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

localize69.0ms (1.1%)

Memory

-7.5MiB live, 192.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 a)
accuracy	0.0078125	(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
accuracy	0.7382895031524757	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
accuracy	28.011238564368725	#s(approx (exp b) #s(literal 1 binary64))
accuracy	0	(exp.f64 a)
accuracy	0.0078125	(+.f64 (exp.f64 b) (exp.f64 a))
accuracy	0.015625	(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))))
accuracy	0.7382895031524757	(*.f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a)))
accuracy	0	(exp.f64 b)
accuracy	0.00390625	(+.f64 (exp.f64 b) #s(literal 1 binary64))
accuracy	0.015625	(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
accuracy	11.731155182701189	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
accuracy	0.0078125	(-.f64 #s(literal -1 binary64) (exp.f64 a))
accuracy	0.0078125	(+.f64 (exp.f64 a) #s(literal 1 binary64))
accuracy	0.5000055021016504	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
accuracy	21.95364582505509	#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 (exp.f64 a) #s(literal 1 binary64)))))

Samples

40.0ms

256×

valid

Compiler

Compiled 139 to 23 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-div: 8.0ms (32% of total)

ival-exp: 6.0ms (24% of total)

ival-add: 5.0ms (20% of total)

ival-mult: 3.0ms (12% of total)

ival-sub: 1.0ms (4% of total)

ival-neg: 1.0ms (4% of total)

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

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

exact: 0.0ms (0% of total)

series36.0ms (0.6%)

Memory

10.9MiB live, 91.0MiB allocated

Counts

19 → 336

Calls

Call 1

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

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

Calls

84 calls:

Time	Variable		Point	Expression
3.0ms	a	@	0	(- -1 (exp a))
3.0ms	a	@	inf	(* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1)))
2.0ms	b	@	-inf	(/ 1 (+ (exp b) 1))
1.0ms	a	@	-inf	(* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1)))
1.0ms	a	@	inf	(/ (exp a) (+ (exp a) 1))

simplify204.0ms (3.2%)

Memory

26.2MiB live, 419.4MiB allocated

Algorithm

1×	egg-herbie

Rules

5 674×	`lower-fma.f64`
5 674×	`lower-fma.f32`
2 604×	`lower-+.f64`
2 604×	`lower-+.f32`
2 049×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	373	4098
1	1118	3846
2	3575	3603
0	8611	3442

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

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

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

rewrite214.0ms (3.4%)

Memory

-24.1MiB live, 499.8MiB allocated

Rules

2 287×	`lower-/.f32`
2 282×	`lower-/.f64`
1 742×	`lower-*.f32`
1 740×	`lower-*.f64`
1 635×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	144
0	46	144
1	179	139
2	1354	138
0	8561	138

Stop Event

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

Counts

19 → 761

Calls

Call 1

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

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

eval151.0ms (2.4%)

Memory: 3.8MiB live, 433.0MiB allocated
Compiler: Compiled 26 110 to 2 712 computations (89.6% saved)

prune154.0ms (2.4%)

Memory

-3.9MiB live, 484.3MiB allocated

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	1 248	9	1 257
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	1 250	11	1 261

Accuracy

100.0%

Counts

1 261 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.1%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
	65.7%	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
▶	67.9%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))
✓	81.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
▶	57.2%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
	54.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b #s(literal 2 binary64)))))
	39.2%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 b #s(literal 2 binary64)))))
▶	38.1%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) b) b #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
	39.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
▶	41.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
▶	39.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))

Compiler

Compiled 209 to 132 computations (36.8% saved)

simplify154.0ms (2.4%)

Memory

2.6MiB live, 200.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
cost-diff	0	(fma.f64 (*.f64 #s(literal 1/48 binary64) b) b #s(literal -1/4 binary64))
cost-diff	0	(fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) b) b #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) b) b #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) b) b #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
cost-diff	0	(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 #s(literal -1/4 binary64) b #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) (+ (exp a) 1))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
cost-diff	192	(fma.f64 a #s(literal 1/4 binary64) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
cost-diff	0	(exp.f64 (neg.f64 a))
cost-diff	0	(+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
cost-diff	0	#s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))

Rules

2 981×	`lower-fma.f32`
2 974×	`lower-fma.f64`
1 124×	`lower-*.f32`
1 123×	`lower-*.f64`
781×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	290
0	68	290
1	109	286
2	180	284
3	311	284
4	586	284
5	983	284
6	1539	284
7	2254	284
8	4347	282
9	6021	280
10	7186	280
11	7683	280
12	7972	280
0	8003	277

Stop Event

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

Calls

Call 1

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

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

localize127.0ms (2%)

Memory

16.1MiB live, 341.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
accuracy	0.1484375	(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
accuracy	11.731155182701189	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
accuracy	16.117696065830266	#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
accuracy	0.03515625	(fma.f64 (*.f64 #s(literal 1/48 binary64) b) b #s(literal -1/4 binary64))
accuracy	0.34375	(*.f64 #s(literal 1/48 binary64) b)
accuracy	11.731155182701189	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) b) b #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
accuracy	28.043152668876687	#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) b) b #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
accuracy	0	(fma.f64 a #s(literal 1/4 binary64) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
accuracy	0	(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
accuracy	17.43284833011964	#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
accuracy	21.95364582505509	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
accuracy	11.731155182701189	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
accuracy	26.141442082276473	#s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))
accuracy	0	(exp.f64 (neg.f64 a))
accuracy	0.015625	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))
accuracy	0.01953125	(+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
accuracy	20.57366178111358	#s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))

Samples

75.0ms

256×

valid

Compiler

Compiled 181 to 45 computations (75.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-add: 19.0ms (33.4% of total)

ival-mult: 15.0ms (26.4% of total)

ival-div: 7.0ms (12.3% of total)

const: 7.0ms (12.3% of total)

ival-exp: 5.0ms (8.8% of total)

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

exact: 1.0ms (1.8% of total)

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

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

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

series24.0ms (0.4%)

Memory

-17.7MiB live, 62.5MiB allocated

Counts

21 → 348

Calls

Call 1

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

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

Calls

87 calls:

Time	Variable		Point	Expression
2.0ms	b	@	0	(+ (* a 1/4) (+ (* -1/4 b) 1/2))
0.0ms	b	@	-inf	(+ (* (+ (* (* 1/48 b) b) -1/4) b) 1/2)
0.0ms	a	@	0	(+ (* a 1/4) (+ (* -1/4 b) 1/2))
0.0ms	b	@	inf	(+ (* (+ (* (* 1/48 b) b) -1/4) b) 1/2)
0.0ms	b	@	-inf	(* 1/48 b)

simplify190.0ms (3%)

Memory

15.3MiB live, 371.2MiB allocated

Algorithm

1×	egg-herbie

Rules

3 800×	`lower-fma.f64`
3 800×	`lower-fma.f32`
1 933×	`lower-*.f64`
1 933×	`lower-*.f32`
1 593×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	378	5162
1	1148	4525
2	3725	4313
3	7656	4208
0	8077	4012

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

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

Outputs
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+.f64 (+.f64 (/.f64 a (+.f64 (exp.f64 b) #s(literal 1 binary64))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (exp.f64 b)) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (exp.f64 b)) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (neg.f64 (exp.f64 b)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (exp.f64 b) #s(literal 0 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))))) a (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (exp.f64 b)) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
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(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (fma.f64 (neg.f64 b) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) b (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))
(+ (* 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 #s(literal -1 binary64) (.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (.f64 b (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (exp.f64 a)))) b (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))))) b (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
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 (fma.f64 (*.f64 #s(literal 1/48 binary64) b) b #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/480 binary64) b) b #s(literal 1/48 binary64)) b) b #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
2
#s(literal 2 binary64)
(+ 2 b)
(+.f64 #s(literal 2 binary64) b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(+ 1 (exp b))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(+ 1 (exp b))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(+ 1 (exp b))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(+ 1 (exp b))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(+ 1 (exp b))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(+ 1 (exp b))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(+ 1 (exp b))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(+ 1 (exp b))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
2
#s(literal 2 binary64)
(+ 2 b)
(+.f64 #s(literal 2 binary64) b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(* 1/6 (pow b 3))
(.f64 (.f64 (*.f64 b b) #s(literal 1/6 binary64)) b)
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))
(fma.f64 (.f64 (.f64 b b) #s(literal 1/6 binary64)) b (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 b b) b)) (.f64 (*.f64 b b) b))))
(* 1/6 (pow b 3))
(.f64 (.f64 (*.f64 b b) #s(literal 1/6 binary64)) b)
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) b)) b)) (.f64 (*.f64 b b) b))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))
(.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (.f64 b b)) (+.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/2 binary64))) b)) (.f64 (.f64 b b) b))
(* 1/48 b)
(*.f64 #s(literal 1/48 binary64) b)
(* 1/48 b)
(*.f64 #s(literal 1/48 binary64) b)
(* 1/48 b)
(*.f64 #s(literal 1/48 binary64) b)
(* 1/48 b)
(*.f64 #s(literal 1/48 binary64) b)
(* 1/48 b)
(*.f64 #s(literal 1/48 binary64) b)
(* 1/48 b)
(*.f64 #s(literal 1/48 binary64) b)
(* 1/48 b)
(*.f64 #s(literal 1/48 binary64) b)
(* 1/48 b)
(*.f64 #s(literal 1/48 binary64) b)
(* 1/48 b)
(*.f64 #s(literal 1/48 binary64) b)
(* 1/48 b)
(*.f64 #s(literal 1/48 binary64) b)
(* 1/48 b)
(*.f64 #s(literal 1/48 binary64) b)
(* 1/48 b)
(*.f64 #s(literal 1/48 binary64) b)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 b))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 b))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 b))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(* 1/6 b)
(*.f64 #s(literal 1/6 binary64) b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(* 1/6 b)
(*.f64 #s(literal 1/6 binary64) b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 b))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(* 1/6 (pow b 2))
(.f64 (.f64 b b) #s(literal 1/6 binary64))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(* 1/6 (pow b 2))
(.f64 (.f64 b b) #s(literal 1/6 binary64))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))

rewrite239.0ms (3.8%)

Memory

0.2MiB live, 510.7MiB allocated

Rules

2 506×	`lower-/.f32`
2 504×	`lower-/.f64`
2 423×	`lower-*.f32`
2 422×	`lower-*.f64`
2 266×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	271
0	68	271
1	299	267
2	2340	265
0	9814	265

Stop Event

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

Counts

21 → 295

Calls

Call 1

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

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

eval97.0ms (1.5%)

Memory: -19.2MiB live, 268.3MiB allocated
Compiler: Compiled 13 032 to 1 190 computations (90.9% saved)

prune92.0ms (1.5%)

Memory

-0.6MiB live, 282.3MiB allocated

Pruning

23 alts after pruning (18 fresh and 5 done)

	Pruned	Kept	Total
New	627	16	643
Fresh	2	2	4
Picked	2	3	5
Done	0	2	2
Total	631	23	654

Accuracy

100.0%

Counts

654 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.1%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
▶	65.7%	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
✓	67.9%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))
	58.2%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
▶	55.0%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
	42.1%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (+ (exp (neg a)) 1) (-.f64 #s(literal 2 binary64) a))))
✓	81.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
▶	57.2%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
	57.2%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
	54.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
	42.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) (.f64 b b) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64))) b #s(literal 2 binary64)))))
	42.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) b)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))) b #s(literal 2 binary64)))))
	40.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b) b) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) #s(literal -4 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal -2 binary64))))))
▶	39.2%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 b #s(literal 2 binary64)))))
	21.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)))))
	20.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (.f64 (*.f64 b b) #s(literal 1/6 binary64)) b)))))
✓	38.1%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) b) b #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
	39.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (* 1/48 b) b) -1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
	13.8%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* 1/48 b) b) -1/4) b) 1/2) (.f64 (.f64 (*.f64 #s(literal 1/48 binary64) b) b) b))))
✓	41.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
	41.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)))))
	4.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a 1/4) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
▶	4.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a 1/4) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b))))

Compiler

Compiled 637 to 356 computations (44.1% saved)

simplify133.0ms (2.1%)

Memory

0.5MiB live, 240.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))
cost-diff	0	#s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64))))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
cost-diff	0	(+.f64 b #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (exp b) 1) (+.f64 b #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 b #s(literal 2 binary64))))
cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 b #s(literal 2 binary64)))))
cost-diff	0	(*.f64 #s(literal -1/4 binary64) b)
cost-diff	0	#s(approx (+ (* a 1/4) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b))
cost-diff	0	#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a 1/4) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b)))
cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a 1/4) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b))))
cost-diff	0	#s(approx (exp a) #s(literal 1 binary64))
cost-diff	0	(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
cost-diff	0	(exp.f64 a)
cost-diff	0	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))

Rules

3 587×	`lower-fma.f32`
3 581×	`lower-fma.f64`
1 424×	`lower-*.f32`
1 422×	`lower-*.f64`
1 026×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	381
0	81	381
1	127	377
2	198	375
3	309	375
4	566	375
5	1124	375
6	2422	375
7	3341	369
8	5859	367
0	8206	364

Stop Event

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

Calls

Call 1

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

localize126.0ms (2%)

Memory

30.3MiB live, 351.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1484375	(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))
accuracy	11.731155182701189	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
accuracy	15.942780947193626	(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))
accuracy	16.117696065830266	#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
accuracy	0	(fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64))
accuracy	0.015625	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
accuracy	8.874130133686124	#s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))
accuracy	20.57366178111358	#s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64))))
accuracy	0	(+.f64 b #s(literal 2 binary64))
accuracy	0.015625	(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 b #s(literal 2 binary64))))
accuracy	11.731155182701189	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 b #s(literal 2 binary64)))))
accuracy	27.54955066191356	#s(approx (+ (exp b) 1) (+.f64 b #s(literal 2 binary64)))
accuracy	0	(*.f64 #s(literal -1/4 binary64) b)
accuracy	17.43284833011964	#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a 1/4) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b)))
accuracy	21.95364582505509	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a 1/4) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b))))
accuracy	37.01308667648565	#s(approx (+ (* a 1/4) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b))
accuracy	0.0078125	(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
accuracy	0.7382895031524757	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
accuracy	17.93694088364873	#s(approx (exp a) #s(literal 1 binary64))
accuracy	28.011238564368725	#s(approx (exp b) #s(literal 1 binary64))

Samples

80.0ms

256×

valid

Compiler

Compiled 220 to 50 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-add: 17.0ms (28.6% of total)

ival-mult: 16.0ms (26.9% of total)

ival-div: 10.0ms (16.8% of total)

const: 7.0ms (11.8% of total)

ival-exp: 6.0ms (10.1% of total)

ival-sub: 1.0ms (1.7% of total)

exact: 1.0ms (1.7% of total)

ival-neg: 1.0ms (1.7% of total)

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

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

series25.0ms (0.4%)

Memory

-13.9MiB live, 66.2MiB allocated

Counts

24 → 396

Calls

Call 1

Inputs
#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (exp a) #s(literal 1 binary64)) (patch #s(approx (exp a) #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) (+ (exp a) 1))) #s(approx (+ (* a 1/4) (+ (* -1/4 b) 1/2)) (.f64 #s(literal -1/4 binary64) b)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx ( (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a 1/4) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b)))) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a 1/4) (+ (* -1/4 b) 1/2)) (.f64 #s(literal -1/4 binary64) b))) (patch #s(approx ( (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a 1/4) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* a 1/4) (+ (* -1/4 b) 1/2)) (.f64 #s(literal -1/4 binary64) b)) (patch #s(approx (+ ( a 1/4) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -1/4 binary64) b) (patch (.f64 #s(literal -1/4 binary64) b) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 b #s(literal 2 binary64))))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 b #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 b #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 b #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (exp b) 1) (+.f64 b #s(literal 2 binary64))) (patch #s(approx (+ (exp b) 1) (+.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 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))) (patch #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64))) (patch #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))) (patch #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (exp b) #s(literal 1 binary64)) (patch #s(approx (exp b) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (patch (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (/ 1 (+ 1 (exp b))) (taylor 0 a) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #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 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #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 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #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 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ 1 (exp a))) (taylor 0 b) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #<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 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #<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 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #<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 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf b) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf b) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf b) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf b) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf b) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf b) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf b) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf b) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #<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 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ a (exp b))) (taylor 0 a) (#s(alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) (taylor 0 a) (#s(alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) (taylor 0 a) (#s(alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf a) (#s(alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf a) (#s(alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf a) (#s(alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf a) (#s(alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp a)) (taylor 0 b) (#s(alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) (taylor 0 b) (#s(alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (taylor 0 b) (#s(alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf b) (#s(alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ (exp a) (exp b)) (taylor inf b) (#s(alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (taylor 0 a) (#s(alt #s(approx (exp a) #s(literal 1 binary64)) (patch #s(approx (exp a) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor inf a) (#s(alt #s(approx (exp a) #s(literal 1 binary64)) (patch #s(approx (exp a) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor inf a) (#s(alt #s(approx (exp a) #s(literal 1 binary64)) (patch #s(approx (exp a) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor inf a) (#s(alt #s(approx (exp a) #s(literal 1 binary64)) (patch #s(approx (exp a) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor inf a) (#s(alt #s(approx (exp a) #s(literal 1 binary64)) (patch #s(approx (exp a) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor -inf a) (#s(alt #s(approx (exp a) #s(literal 1 binary64)) (patch #s(approx (exp a) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor -inf a) (#s(alt #s(approx (exp a) #s(literal 1 binary64)) (patch #s(approx (exp a) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor -inf a) (#s(alt #s(approx (exp a) #s(literal 1 binary64)) (patch #s(approx (exp a) #s(literal 1 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) (+ (exp a) 1))) #s(approx (+ (* a 1/4) (+ (* -1/4 b) 1/2)) (.f64 #s(literal -1/4 binary64) b)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx ( (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a 1/4) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b)))) #<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) (+ (exp a) 1))) #s(approx (+ (* a 1/4) (+ (* -1/4 b) 1/2)) (.f64 #s(literal -1/4 binary64) b)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx ( (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a 1/4) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b)))) #<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) (+ (exp a) 1))) #s(approx (+ (* a 1/4) (+ (* -1/4 b) 1/2)) (.f64 #s(literal -1/4 binary64) b)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx ( (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a 1/4) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b)))) #<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) (+ (exp a) 1))) #s(approx (+ (* a 1/4) (+ (* -1/4 b) 1/2)) (.f64 #s(literal -1/4 binary64) b)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx ( (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a 1/4) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b)))) #<representation binary64>) () ())) ())
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#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) (+ (exp a) 1))) #s(approx (+ (* a 1/4) (+ (* -1/4 b) 1/2)) (.f64 #s(literal -1/4 binary64) b))) (patch #s(approx ( (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a 1/4) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b))) #<representation binary64>) () ())) ())
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#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) (+ (exp a) 1))) #s(approx (+ (* a 1/4) (+ (* -1/4 b) 1/2)) (.f64 #s(literal -1/4 binary64) b))) (patch #s(approx ( (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a 1/4) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b))) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* b (+ 1 (* 1/2 b)))) (taylor 0 b) (#s(alt #s(approx (exp b) #s(literal 1 binary64)) (patch #s(approx (exp b) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) (taylor 0 b) (#s(alt #s(approx (exp b) #s(literal 1 binary64)) (patch #s(approx (exp b) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor inf b) (#s(alt #s(approx (exp b) #s(literal 1 binary64)) (patch #s(approx (exp b) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor inf b) (#s(alt #s(approx (exp b) #s(literal 1 binary64)) (patch #s(approx (exp b) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor inf b) (#s(alt #s(approx (exp b) #s(literal 1 binary64)) (patch #s(approx (exp b) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor inf b) (#s(alt #s(approx (exp b) #s(literal 1 binary64)) (patch #s(approx (exp b) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor -inf b) (#s(alt #s(approx (exp b) #s(literal 1 binary64)) (patch #s(approx (exp b) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor -inf b) (#s(alt #s(approx (exp b) #s(literal 1 binary64)) (patch #s(approx (exp b) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor -inf b) (#s(alt #s(approx (exp b) #s(literal 1 binary64)) (patch #s(approx (exp b) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor -inf b) (#s(alt #s(approx (exp b) #s(literal 1 binary64)) (patch #s(approx (exp b) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 a) (#s(alt (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 a) 1) (taylor 0 a) (#s(alt (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 a) 1) (taylor 0 a) (#s(alt (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 a) 1) (taylor 0 a) (#s(alt (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 a) (taylor inf a) (#s(alt (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (- 1/2 (/ 1 a))) (taylor inf a) (#s(alt (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (- 1/2 (/ 1 a))) (taylor inf a) (#s(alt (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (- 1/2 (/ 1 a))) (taylor inf a) (#s(alt (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 a) (taylor -inf a) (#s(alt (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (/ 1 a) 1/2))) (taylor -inf a) (#s(alt (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (/ 1 a) 1/2))) (taylor -inf a) (#s(alt (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (/ 1 a) 1/2))) (taylor -inf a) (#s(alt (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 b) (#s(alt (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (patch (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 b)) (taylor 0 b) (#s(alt (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (patch (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 b)) (taylor 0 b) (#s(alt (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (patch (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 b)) (taylor 0 b) (#s(alt (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (patch (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 b) (taylor inf b) (#s(alt (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (patch (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1/6 (* 1/2 (/ 1 b)))) (taylor inf b) (#s(alt (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (patch (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1/6 (* 1/2 (/ 1 b)))) (taylor inf b) (#s(alt (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (patch (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1/6 (* 1/2 (/ 1 b)))) (taylor inf b) (#s(alt (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (patch (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 b) (taylor -inf b) (#s(alt (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (patch (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1/6 (* 1/2 (/ 1 b)))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (patch (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1/6 (* 1/2 (/ 1 b)))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (patch (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1/6 (* 1/2 (/ 1 b)))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (patch (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt -1/2 (taylor 0 b) (#s(alt (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 b) 1/2) (taylor 0 b) (#s(alt (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 b) 1/2) (taylor 0 b) (#s(alt (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 b) 1/2) (taylor 0 b) (#s(alt (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 b) (taylor inf b) (#s(alt (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (- 1/6 (* 1/2 (/ 1 b)))) (taylor inf b) (#s(alt (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (- 1/6 (* 1/2 (/ 1 b)))) (taylor inf b) (#s(alt (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (- 1/6 (* 1/2 (/ 1 b)))) (taylor inf b) (#s(alt (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 b) (taylor -inf b) (#s(alt (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* 1/2 (/ 1 b)) 1/6))) (taylor -inf b) (#s(alt (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* 1/2 (/ 1 b)) 1/6))) (taylor -inf b) (#s(alt (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* 1/2 (/ 1 b)) 1/6))) (taylor -inf b) (#s(alt (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())

Calls

99 calls:

Time	Variable		Point	Expression
0.0ms	b	@	-inf	(* -1/4 b)
0.0ms	b	@	-inf	(/ (+ (* 1/36 (* b b)) -1/4) (+ (* 1/6 b) -1/2))
0.0ms	b	@	0	(/ (+ (* 1/36 (* b b)) -1/4) (+ (* 1/6 b) -1/2))
0.0ms	b	@	inf	(+ (* (+ (* (/ (+ (* 1/36 (* b b)) -1/4) (+ (* 1/6 b) -1/2)) b) 1) b) 2)
0.0ms	b	@	inf	(/ (+ (* 1/36 (* b b)) -1/4) (+ (* 1/6 b) -1/2))

simplify213.0ms (3.4%)

Memory

2.3MiB live, 439.2MiB allocated

Algorithm

1×	egg-herbie

Rules

3 908×	`lower-fma.f64`
3 908×	`lower-fma.f32`
1 922×	`lower-*.f64`
1 922×	`lower-*.f32`
1 693×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	403	4868
1	1217	4590
2	3859	4400
3	7755	4295
0	8167	4094

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 394

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

Outputs
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+.f64 (+.f64 (/.f64 a (+.f64 (exp.f64 b) #s(literal 1 binary64))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 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 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(+ (* 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 (fma.f64 (fma.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 4 binary64))))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))) a (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(/ (exp a) (+ (exp a) (exp b)))
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(/ (exp a) (+ (exp a) (exp b)))
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#s(literal 2 binary64)
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#s(literal 2 binary64)
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#s(literal 2 binary64)
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(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 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 (fma.f64 (neg.f64 b) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) b (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))
(+ (* 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 (fma.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (exp.f64 a)))) b))) b (/.f64 #s(literal -1 binary64) (.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) b (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
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 (fma.f64 (*.f64 #s(literal 1/48 binary64) b) b #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/480 binary64) (.f64 b b) #s(literal 1/48 binary64)) b) b #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
2
#s(literal 2 binary64)
(+ 2 b)
(+.f64 #s(literal 2 binary64) b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(+ 1 (exp b))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(+ 1 (exp b))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(+ 1 (exp b))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(+ 1 (exp b))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(+ 1 (exp b))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(+ 1 (exp b))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(+ 1 (exp b))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(+ 1 (exp b))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
2
#s(literal 2 binary64)
(+ 2 b)
(+.f64 #s(literal 2 binary64) b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(* 1/6 (pow b 3))
(.f64 (.f64 (*.f64 #s(literal 1/6 binary64) b) b) b)
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 (.f64 b b) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(fma.f64 (.f64 b b) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 b b) b) (.f64 b b)))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))
(.f64 (.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (/.f64 #s(literal 2 binary64) (.f64 (.f64 b b) b))) (/.f64 #s(literal 1 binary64) (.f64 b b))) (.f64 b b)) b)
(* 1/6 (pow b 3))
(.f64 (.f64 (*.f64 #s(literal 1/6 binary64) b) b) b)
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 (.f64 b b) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) b)) b)) (.f64 (*.f64 b b) b))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))
(.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (.f64 b b)) (+.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/2 binary64))) b)) (.f64 (.f64 b b) b))
1
#s(literal 1 binary64)
(+ 1 b)
(+.f64 b #s(literal 1 binary64))
(+ 1 (* b (+ 1 (* 1/2 b))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #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)
-1
#s(literal -1 binary64)
(- (* 1/2 a) 1)
(fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64))
(- (* 1/2 a) 1)
(fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64))
(- (* 1/2 a) 1)
(fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64))
(* 1/2 a)
(*.f64 #s(literal 1/2 binary64) a)
(* a (- 1/2 (/ 1 a)))
(fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64))
(* a (- 1/2 (/ 1 a)))
(fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64))
(* a (- 1/2 (/ 1 a)))
(fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64))
(* 1/2 a)
(*.f64 #s(literal 1/2 binary64) a)
(* -1 (* a (- (/ 1 a) 1/2)))
(fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64))
(* -1 (* a (- (/ 1 a) 1/2)))
(fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64))
(* -1 (* a (- (/ 1 a) 1/2)))
(fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 b))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 b))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 b))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(* 1/6 b)
(*.f64 #s(literal 1/6 binary64) b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(* 1/6 b)
(*.f64 #s(literal 1/6 binary64) b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 b) 1/2)
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))
(- (* 1/6 b) 1/2)
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))
(- (* 1/6 b) 1/2)
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))
(* 1/6 b)
(*.f64 #s(literal 1/6 binary64) b)
(* b (- 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))
(* b (- 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))
(* b (- 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))
(* 1/6 b)
(*.f64 #s(literal 1/6 binary64) b)
(* -1 (* b (- (* 1/2 (/ 1 b)) 1/6)))
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))
(* -1 (* b (- (* 1/2 (/ 1 b)) 1/6)))
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))
(* -1 (* b (- (* 1/2 (/ 1 b)) 1/6)))
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))

rewrite210.0ms (3.3%)

Memory

16.3MiB live, 455.3MiB allocated

Rules

2 138×	`lower-*.f32`
2 136×	`lower-*.f64`
2 087×	`lower-/.f32`
2 082×	`lower-/.f64`
1 564×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	339
0	81	339
1	365	305
2	2873	303
0	8421	292

Stop Event

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

Counts

24 → 292

Calls

Call 1

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

Outputs
(.f64 (/.f64 (exp.f64 a) (.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(.f64 (/.f64 (exp.f64 a) (fma.f64 (.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)) (.f64 (.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) #s(approx (exp a) #s(literal 1 binary64))))) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))) (pow.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))) (exp.f64 a))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))))))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))))
(*.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))))
(pow.f64 (/.f64 (*.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (exp.f64 (neg.f64 a))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (exp.f64 (neg.f64 a))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (exp.f64 a)))) (neg.f64 (neg.f64 (neg.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (exp.f64 a))) (neg.f64 (neg.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (exp.f64 (neg.f64 a))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (exp.f64 (neg.f64 a)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (exp.f64 (neg.f64 a))))))
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(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 (.f64 #s(literal 1/46656 binary64) (.f64 (.f64 b b) b)) (.f64 (.f64 b b) b) #s(literal -1/64 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/1296 binary64) (.f64 (.f64 b b) (.f64 b b)) (-.f64 #s(literal 1/16 binary64) (.f64 (*.f64 b b) #s(literal -1/144 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) b) b #s(literal -1/4 binary64)) (fma.f64 (*.f64 #s(literal 1/36 binary64) b) b #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) b) b #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 b b) b) #s(literal -1/8 binary64))) (-.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) b) b #s(literal 1/4 binary64)) (.f64 b #s(literal -1/12 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/36 binary64) b) b #s(literal -1/4 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (fma.f64 (.f64 #s(literal 1/36 binary64) b) b #s(literal -1/4 binary64)))
(.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) b) b #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))))
(.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) b) b #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/1296 binary64) (.f64 (.f64 b b) (.f64 b b)) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) b) b #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 #s(literal 1/46656 binary64) (.f64 (.f64 b b) b)) (.f64 (.f64 b b) b) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))))) (neg.f64 (fma.f64 #s(literal 1/1296 binary64) (.f64 (.f64 b b) (.f64 b b)) (-.f64 #s(literal 1/16 binary64) (.f64 (*.f64 b b) #s(literal -1/144 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) b) b #s(literal -1/4 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 b b) b)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) b) b (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/12 binary64))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) b) b #s(literal -1/4 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/1296 binary64) (.f64 (.f64 b b) (.f64 b b)) #s(literal -1/16 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) b) b #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 #s(literal 1/46656 binary64) (.f64 (.f64 b b) b)) (.f64 (.f64 b b) b) #s(literal -1/64 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 #s(literal 1/1296 binary64) (.f64 (.f64 b b) (.f64 b b)) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 b b) #s(literal -1/144 binary64)))) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/1296 binary64) (.f64 (.f64 b b) (.f64 b b)) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))) (fma.f64 (*.f64 #s(literal 1/36 binary64) b) b #s(literal 1/4 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/46656 binary64) (.f64 (.f64 b b) b)) (.f64 (.f64 b b) b) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/1296 binary64) (.f64 (.f64 b b) (.f64 b b)) (-.f64 #s(literal 1/16 binary64) (.f64 (*.f64 b b) #s(literal -1/144 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) b) b #s(literal -1/4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 b b) b)) #s(literal -1/8 binary64)) (fma.f64 (.f64 #s(literal 1/36 binary64) b) b (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/12 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1296 binary64) (.f64 (.f64 b b) (.f64 b b)) #s(literal -1/16 binary64))) (neg.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/36 binary64) b) b #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/46656 binary64) (.f64 (.f64 b b) b)) (.f64 (.f64 b b) b) #s(literal -1/64 binary64))) (neg.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/1296 binary64) (.f64 (.f64 b b) (.f64 b b)) (-.f64 #s(literal 1/16 binary64) (.f64 (*.f64 b b) #s(literal -1/144 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) b) b #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/1296 binary64) (.f64 (.f64 b b) (.f64 b b)) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) b) b #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/46656 binary64) (.f64 (.f64 b b) b)) (.f64 (.f64 b b) b) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/1296 binary64) (.f64 (.f64 b b) (.f64 b b)) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 b b) #s(literal -1/144 binary64)))) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))))
(/.f64 (fma.f64 #s(literal 1/1296 binary64) (.f64 (.f64 b b) (.f64 b b)) #s(literal -1/16 binary64)) (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/36 binary64) b) b #s(literal 1/4 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal 1/46656 binary64) (.f64 (.f64 b b) b)) (.f64 (.f64 b b) b) #s(literal -1/64 binary64)) (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/1296 binary64) (.f64 (.f64 b b) (.f64 b b)) (-.f64 #s(literal 1/16 binary64) (.f64 (*.f64 b b) #s(literal -1/144 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) b) b #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) b) b #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) b) b #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))))
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) b) b #s(literal -1/4 binary64)) (neg.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))
(.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 b b) b) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) b) b #s(literal 1/4 binary64)) (*.f64 b #s(literal -1/12 binary64)))))
(.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) b) b #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/36 binary64) b) b #s(literal -1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) b) b #s(literal 1/4 binary64)) (.f64 b #s(literal -1/12 binary64))) (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 b b) b) #s(literal -1/8 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 b b) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 b b) b) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) b) b #s(literal 1/4 binary64)) (.f64 b #s(literal -1/12 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 b b) #s(literal 1/36 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 b b) b) #s(literal -1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (*.f64 b #s(literal -1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 b b) b) #s(literal -1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) b) b #s(literal 1/4 binary64)) (.f64 b #s(literal -1/12 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) b) b #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 b b) b) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (*.f64 b #s(literal -1/12 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 b b) b) #s(literal -1/8 binary64)) (-.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) b) b #s(literal 1/4 binary64)) (.f64 b #s(literal -1/12 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) b) b #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) b) b #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/36 binary64) b) b #s(literal -1/4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) b) b #s(literal 1/4 binary64)) (.f64 b #s(literal -1/12 binary64))) (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 b b) b) #s(literal -1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/36 binary64) b) b #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) b) b #s(literal 1/4 binary64)) (.f64 b #s(literal -1/12 binary64))) (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 b b) b) #s(literal -1/8 binary64))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))
(fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(-.f64 (/.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))

eval86.0ms (1.4%)

Memory: -32.1MiB live, 243.7MiB allocated
Compiler: Compiled 12 619 to 1 294 computations (89.7% saved)

prune89.0ms (1.4%)

Memory

20.4MiB live, 269.0MiB allocated

Pruning

25 alts after pruning (18 fresh and 7 done)

	Pruned	Kept	Total
New	676	10	686
Fresh	5	8	13
Picked	3	2	5
Done	0	5	5
Total	684	25	709

Accuracy

100.0%

Counts

709 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.1%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
	40.8%	(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
	40.9%	(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
	41.0%	(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
✓	67.9%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))
	58.2%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
	46.9%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (+ (exp (neg a)) 1) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64))) (.f64 a a) #s(literal -4 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal -2 binary64))))))
	44.8%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (+ (exp (neg a)) 1) (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64))) (.f64 (.f64 a a) a) #s(literal 8 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a) (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64))) a (-.f64 #s(literal 4 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) (.f64 a #s(literal 2 binary64)))))))))
	42.1%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (+ (exp (neg a)) 1) (-.f64 #s(literal 2 binary64) a))))
	44.4%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (+ (exp (neg a)) 1) #s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) a)) a)) a) a)))))
	16.9%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (+ (exp (neg a)) 1) #s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (.f64 (.f64 a a) #s(literal 1/2 binary64))))))
✓	81.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
	58.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ ( 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
	54.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (/ (+ (* 1/36 (* b b)) -1/4) (+ (* 1/6 b) -1/2)) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
	40.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b) b) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) #s(literal -4 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal -2 binary64))))))
✓	39.2%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 b #s(literal 2 binary64)))))
	20.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (/ (+ (* 1/36 (* b b)) -1/4) (+ (* 1/6 b) -1/2)) b) 1) b) 2) (.f64 (.f64 (*.f64 #s(literal 1/6 binary64) b) b) b)))))
	20.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (.f64 (*.f64 b b) #s(literal 1/6 binary64)) b)))))
✓	38.1%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) b) b #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
	39.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (* 1/48 b) b) -1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
	13.8%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* 1/48 b) b) -1/4) b) 1/2) (.f64 (.f64 (*.f64 #s(literal 1/48 binary64) b) b) b))))
✓	41.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
	41.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)))))
	4.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a 1/4) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
✓	4.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a 1/4) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b))))

Compiler

Compiled 946 to 357 computations (62.3% saved)

regimes56.0ms (0.9%)

Memory

-3.2MiB live, 156.1MiB allocated

Counts

40 → 1

Calls

Call 1

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

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

Calls

5 calls:

12.0ms	b
12.0ms	a
11.0ms	(exp.f64 b)
10.0ms	(exp.f64 a)
9.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (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 (0.8%)

Memory

-16.0MiB live, 143.8MiB allocated

Counts

37 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
98.4%	2	`a`
99.9%	3	`b`
81.7%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
98.4%	2	`(exp.f64 a)`
99.9%	3	`(exp.f64 b)`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes40.0ms (0.6%)

Memory

-6.4MiB live, 112.4MiB allocated

Counts

35 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

11.0ms	a
10.0ms	b
8.0ms	(exp.f64 b)
8.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
98.2%	3	`b`
98.2%	3	`(exp.f64 b)`
97.9%	2	`a`
97.9%	2	`(exp.f64 a)`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes39.0ms (0.6%)

Memory

31.7MiB live, 111.9MiB allocated

Counts

34 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

10.0ms	a
10.0ms	b
9.0ms	(exp.f64 a)
8.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
93.3%	3	`b`
93.3%	3	`(exp.f64 b)`
90.3%	2	`(exp.f64 a)`
95.3%	3	`a`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes47.0ms (0.7%)

Memory

-32.3MiB live, 128.8MiB allocated

Counts

33 → 2

Calls

Call 1

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

Outputs

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

#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))

Calls

5 calls:

10.0ms	a
9.0ms	b
9.0ms	(exp.f64 a)
8.0ms	(exp.f64 b)
8.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Accuracy	Segments	Branch
61.9%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
68.8%	2	`(exp.f64 a)`
73.7%	2	`b`
72.7%	2	`(exp.f64 b)`
73.3%	3	`a`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

27.1MiB live, 27.1MiB allocated

Counts

24 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
73.0%	2	`b`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes22.0ms (0.3%)

Memory

-15.8MiB live, 63.4MiB allocated

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

7.0ms	b
7.0ms	a
5.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
70.1%	3	`a`
69.8%	2	`(exp.f64 b)`
71.2%	2	`b`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes8.0ms (0.1%)

Memory

23.7MiB live, 23.7MiB allocated

Counts

21 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
71.2%	2	`b`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes22.0ms (0.3%)

Memory

-16.8MiB live, 63.9MiB allocated

Counts

17 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

6.0ms	b
5.0ms	a
5.0ms	(exp.f64 a)
4.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
68.4%	3	`a`
63.3%	2	`(exp.f64 a)`
66.9%	2	`(exp.f64 b)`
68.3%	2	`b`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes16.0ms (0.3%)

Memory

8.9MiB live, 48.6MiB allocated

Counts

16 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
68.4%	3	`a`
57.3%	2	`(exp.f64 b)`
60.2%	3	`b`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes13.0ms (0.2%)

Memory

-1.1MiB live, 38.5MiB allocated

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

5.0ms	a
4.0ms	(exp.f64 a)
3.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Accuracy	Segments	Branch
54.8%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
55.1%	2	`(exp.f64 a)`
60.6%	3	`a`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes20.0ms (0.3%)

Memory

-21.2MiB live, 59.4MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

5.0ms	a
4.0ms	b
4.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms	(exp.f64 a)
3.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
53.0%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
53.3%	2	`(exp.f64 a)`
42.1%	1	`(exp.f64 b)`
42.1%	1	`b`
53.3%	2	`a`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes14.0ms (0.2%)

Memory

2.2MiB live, 41.9MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
42.1%	1	`b`
42.1%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
42.1%	1	`a`
42.1%	1	`(exp.f64 a)`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes15.0ms (0.2%)

Memory

5.5MiB live, 45.1MiB allocated

Counts

8 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

-11.1MiB live, 29.8MiB allocated

Accuracy

Total -24.8b remaining (-66%)

Threshold costs -24.8b (-66%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
41.3%	1	`(exp.f64 b)`
41.3%	1	`a`
41.3%	1	`(exp.f64 a)`
41.3%	1	`b`
41.3%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999985438426	0.9999999999999861

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch15.0ms (0.2%)

Memory

1.2MiB live, 40.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-1.0877698639600428e+27	-1.0215478314969488e+24

Samples

6.0ms	128×	0	valid
1.0ms	23×	0	exit

Compiler

Compiled 181 to 123 computations (32% saved)

Precisions

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

ival-exp: 2.0ms (52.7% of total)

ival-div: 1.0ms (26.3% of total)

ival-add: 1.0ms (26.3% of total)

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

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

bsearch28.0ms (0.4%)

Memory

-2.7MiB live, 76.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-1.0877698639600428e+27	-1.0215478314969488e+24
13.0ms	-6.344045053096836e+97	-3.283149738489603e+96

Samples

11.0ms	224×	0	valid
2.0ms	53×	0	exit

Compiler

Compiled 407 to 256 computations (37.1% saved)

Precisions

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

ival-exp: 4.0ms (57.9% of total)

ival-div: 2.0ms (28.9% of total)

ival-add: 1.0ms (14.5% of total)

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

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

bsearch27.0ms (0.4%)

Memory

22.3MiB live, 65.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	5.8100344036491205e+54	4.326827682177577e+70

Samples

10.0ms

160×

valid

Compiler

Compiled 403 to 271 computations (32.8% saved)

Precisions

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

ival-exp: 2.0ms (48.1% of total)

ival-div: 1.0ms (24% of total)

ival-add: 1.0ms (24% of total)

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

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

bsearch16.0ms (0.3%)

Memory

2.7MiB live, 42.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.385940444985499e+86	1.4947893549752554e+98

Samples

8.0ms

160×

valid

Compiler

Compiled 353 to 241 computations (31.7% saved)

Precisions

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

ival-exp: 2.0ms (46.9% of total)

ival-div: 1.0ms (23.4% of total)

ival-add: 1.0ms (23.4% of total)

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

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

bsearch5.0ms (0.1%)

Memory

-27.3MiB live, 12.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	2.385940444985499e+86	1.4947893549752554e+98

Samples

2.0ms

32×

valid

Compiler

Compiled 323 to 221 computations (31.6% saved)

Precisions

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

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

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

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

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

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

bsearch1.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.385940444985499e+86	1.4947893549752554e+98

Compiler

Compiled 303 to 201 computations (33.7% saved)

bsearch9.0ms (0.1%)

Memory

26.5MiB live, 26.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2.385940444985499e+86	1.4947893549752554e+98

Samples

4.0ms

96×

valid

Compiler

Compiled 293 to 201 computations (31.4% saved)

Precisions

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

ival-div: 1.0ms (39.3% of total)

ival-exp: 1.0ms (39.3% of total)

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

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

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

bsearch20.0ms (0.3%)

Memory

-28.0MiB live, 52.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	-1.0877698639600428e+27	-1.0215478314969488e+24
14.0ms	-1.1182935809874467e+125	-6.502935547311019e+120

Samples

8.0ms	160×	0	valid
1.0ms	29×	0	exit

Compiler

Compiled 437 to 259 computations (40.7% saved)

Precisions

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

ival-exp: 2.0ms (36.2% of total)

ival-add: 2.0ms (36.2% of total)

ival-div: 1.0ms (18.1% of total)

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

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

bsearch15.0ms (0.2%)

Memory

1.0MiB live, 40.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-3411.0289652485762	-4.244152635385754e-6
1.0ms	-1.1182935809874467e+125	-6.502935547311019e+120

Samples

8.0ms

144×

valid

Compiler

Compiled 428 to 248 computations (42.1% saved)

Precisions

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

ival-exp: 3.0ms (58.8% of total)

ival-div: 1.0ms (19.6% of total)

ival-add: 1.0ms (19.6% of total)

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

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

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.999995755856371

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify13.0ms (0.2%)

Memory

-2.9MiB live, 36.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64`
6×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`1-exp_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	161	822
1	176	822
2	179	822
3	180	822

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 9007199245733793/9007199254740992 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
(if (<=.f64 a #s(literal -1039999999999999966445568 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
(if (<=.f64 a #s(literal -62999999999999999702722318238918520773282943764627003938512789997693079427523851670232620179914752 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal -1 binary64)) a #s(literal 2 binary64))))) (if (<=.f64 a #s(literal -36999999999999998842372096 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* 1/48 b) b) -1/4) b) 1/2) (.f64 (.f64 (*.f64 #s(literal 1/48 binary64) b) b) b)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))))
(if (<=.f64 b #s(literal 42000000000000001513824787158339016940304698054844738513025704346517504 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal -1 binary64)) a #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ ( 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 22000000000000000859814188623972078146752529381853332051150715878231869627375595890252008835252224 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal -1 binary64)) a #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 20000000000000001471517476954224996795152124304354913598491715802703518287604380404101359312306176 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 20000000000000001471517476954224996795152124304354913598491715802703518287604380404101359312306176 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (.f64 (*.f64 b b) #s(literal 1/6 binary64)) b))))))
(if (<=.f64 b #s(literal 145000000000000004977088937725565589305491846059545076785138653284035503917712588772788706952085504 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -109999999999999995493121910527350189303082750544771474559406935198094155129002787377882424497283451454586703841132033402208256 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (+ (exp (neg a)) 1) #s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (.f64 (.f64 a a) #s(literal 1/2 binary64)))))) (if (<=.f64 a #s(literal -34499999999999999152750592 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* 1/48 b) b) -1/4) b) 1/2) (.f64 (.f64 (*.f64 #s(literal 1/48 binary64) b) b) b)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b #s(literal 2 binary64)))))))
(if (<=.f64 a #s(literal -109999999999999995493121910527350189303082750544771474559406935198094155129002787377882424497283451454586703841132033402208256 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (+ (exp (neg a)) 1) #s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (.f64 (.f64 a a) #s(literal 1/2 binary64)))))) (if (<=.f64 a #s(literal -6980579422424269/1125899906842624 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* 1/48 b) b) -1/4) b) 1/2) (.f64 (.f64 (.f64 #s(literal 1/48 binary64) b) b) b)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx ( (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* 1/48 b) b) -1/4) b) 1/2) (.f64 (.f64 (.f64 #s(literal 1/48 binary64) b) b) b)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx ( (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (+ (exp (neg a)) 1) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))

Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(if (<=.f64 (exp.f64 a) #s(literal 9007199245733793/9007199254740992 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 9007199245733793/9007199254740992 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (+.f64 (exp.f64 (neg.f64 a)) #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 -1039999999999999966445568 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
(if (<=.f64 a #s(literal -1039999999999999966445568 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #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 -62999999999999999702722318238918520773282943764627003938512789997693079427523851670232620179914752 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal -1 binary64)) a #s(literal 2 binary64))))) (if (<=.f64 a #s(literal -36999999999999998842372096 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* 1/48 b) b) -1/4) b) 1/2) (.f64 (.f64 (*.f64 #s(literal 1/48 binary64) b) b) b)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))))
(if (<=.f64 a #s(literal -62999999999999999702722318238918520773282943764627003938512789997693079427523851670232620179914752 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal -1 binary64)) a #s(literal 2 binary64))))) (if (<=.f64 a #s(literal -36999999999999998842372096 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* 1/48 b) b) -1/4) b) 1/2) (.f64 (.f64 (*.f64 #s(literal 1/48 binary64) b) b) b)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))))
(if (<=.f64 b #s(literal 42000000000000001513824787158339016940304698054844738513025704346517504 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal -1 binary64)) a #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ ( 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 22000000000000000859814188623972078146752529381853332051150715878231869627375595890252008835252224 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal -1 binary64)) a #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 20000000000000001471517476954224996795152124304354913598491715802703518287604380404101359312306176 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 20000000000000001471517476954224996795152124304354913598491715802703518287604380404101359312306176 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (.f64 (*.f64 b b) #s(literal 1/6 binary64)) b))))))
(if (<=.f64 b #s(literal 20000000000000001471517476954224996795152124304354913598491715802703518287604380404101359312306176 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 b b)) b))))))
(if (<=.f64 b #s(literal 145000000000000004977088937725565589305491846059545076785138653284035503917712588772788706952085504 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -109999999999999995493121910527350189303082750544771474559406935198094155129002787377882424497283451454586703841132033402208256 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (+ (exp (neg a)) 1) #s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (.f64 (.f64 a a) #s(literal 1/2 binary64)))))) (if (<=.f64 a #s(literal -34499999999999999152750592 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* 1/48 b) b) -1/4) b) 1/2) (.f64 (.f64 (*.f64 #s(literal 1/48 binary64) b) b) b)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b #s(literal 2 binary64)))))))
(if (<=.f64 a #s(literal -109999999999999995493121910527350189303082750544771474559406935198094155129002787377882424497283451454586703841132033402208256 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (+ (exp (neg a)) 1) #s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (.f64 (.f64 a a) #s(literal 1/2 binary64)))))) (if (<=.f64 a #s(literal -6980579422424269/1125899906842624 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* 1/48 b) b) -1/4) b) 1/2) (.f64 (.f64 (.f64 #s(literal 1/48 binary64) b) b) b)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx ( (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* 1/48 b) b) -1/4) b) 1/2) (.f64 (.f64 (.f64 #s(literal 1/48 binary64) b) b) b)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx ( (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (+ (exp (neg a)) 1) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))

soundness1.3s (19.9%)

Memory

28.8MiB live, 1 389.7MiB allocated

Rules

9 219×	`lower-fma.f64`
9 219×	`lower-fma.f32`
5 674×	`lower-fma.f64`
5 674×	`lower-fma.f32`
3 908×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	373	4098
1	1118	3846
2	3575	3603
0	8611	3442
0	6	17
0	10	17
1	32	17
2	203	17
3	1936	17
0	8631	17
0	48	271
0	68	271
1	299	267
2	2340	265
0	9814	265
0	378	5162
1	1148	4525
2	3725	4313
3	7656	4208
0	8077	4012
0	120	740
1	332	725
2	963	708
3	3702	677
0	8342	640
0	403	4868
1	1217	4590
2	3859	4400
3	7755	4295
0	8167	4094

Stop Event

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

Compiler

Compiled 1 014 to 500 computations (50.7% saved)

preprocess89.0ms (1.4%)

Memory: -7.8MiB live, 268.9MiB allocated
Compiler: Compiled 744 to 216 computations (71% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze6.0ms (0.1%)

sample919.0ms (14.5%)

explain72.0ms (1.1%)

preprocess85.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize21.0ms (0.3%)

series7.0ms (0.1%)

simplify207.0ms (3.3%)

rewrite224.0ms (3.5%)

eval47.0ms (0.7%)

prune56.0ms (0.9%)

simplify172.0ms (2.7%)

localize69.0ms (1.1%)

series36.0ms (0.6%)

simplify204.0ms (3.2%)

rewrite214.0ms (3.4%)

eval151.0ms (2.4%)

prune154.0ms (2.4%)

simplify154.0ms (2.4%)

localize127.0ms (2%)

series24.0ms (0.4%)

simplify190.0ms (3%)

rewrite239.0ms (3.8%)

eval97.0ms (1.5%)

prune92.0ms (1.5%)

simplify133.0ms (2.1%)

localize126.0ms (2%)

series25.0ms (0.4%)

simplify213.0ms (3.4%)

rewrite210.0ms (3.3%)

eval86.0ms (1.4%)

prune89.0ms (1.4%)

regimes56.0ms (0.9%)

regimes51.0ms (0.8%)

regimes40.0ms (0.6%)

regimes39.0ms (0.6%)

regimes47.0ms (0.7%)

regimes9.0ms (0.1%)

regimes22.0ms (0.3%)

regimes8.0ms (0.1%)

regimes22.0ms (0.3%)

regimes16.0ms (0.3%)

regimes13.0ms (0.2%)

regimes20.0ms (0.3%)

regimes14.0ms (0.2%)

regimes15.0ms (0.2%)

regimes9.0ms (0.1%)

bsearch0.0ms (0%)

bsearch15.0ms (0.2%)

bsearch28.0ms (0.4%)

bsearch27.0ms (0.4%)

bsearch16.0ms (0.3%)

bsearch5.0ms (0.1%)

bsearch1.0ms (0%)

bsearch9.0ms (0.1%)

bsearch20.0ms (0.3%)

bsearch15.0ms (0.2%)

bsearch0.0ms (0%)

simplify13.0ms (0.2%)

soundness1.3s (19.9%)

preprocess89.0ms (1.4%)

end0.0ms (0%)

Profiling